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Journal articles on the topic 'Rigid finite element method'

Author: Grafiati
Published: 4 June 2025
Last updated: 23 June 2025

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1

Li, Yi Hao, and Wei Jiang. "Rigid Finite Element Modeling of Ball Screw System." Advanced Materials Research 538-541 (June 2012): 1006–10. http://dx.doi.org/10.4028/www.scientific.net/amr.538-541.1006.

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An integrated modeling method is proposed for ball screw drives which incorporates the elastic deformation of the screw within the nut. The ball screw model is derived based on Rigid Finite Element method, which is modeled as rigid multibody system consisting of rigid finite elements connected with spring damping elements, by using Rigid Finite Element method. The distributed contact stiffness of screw-nut interface is converted on ball screw and nut via Frenet-Serret coordinates. The proposed ball screw model has much less degrees of freedom than conventional finite element models. Comparisons between numerical simulations and experiments show that satisfied accuracy can also be obtained. The resulting model can be used for vibration analysis and control of ball screw drives.
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2

Guo, Yong-Ming. "A comparison between the rigid–plastic finite-boundary element method and the penalty rigid–plastic finite element method." Journal of Materials Processing Technology 101, no. 1-3 (2000): 209–15. http://dx.doi.org/10.1016/s0924-0136(00)00459-3.

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3

Eom, Jae Gun, Wan Jin Chung, and Man Soo Joun. "Comparison of Rigid-Plastic and Elastoplastic Finite Element Predictions of a Tensile Test of Cylindrical Specimens." Key Engineering Materials 622-623 (September 2014): 611–16. http://dx.doi.org/10.4028/www.scientific.net/kem.622-623.611.

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In this paper, finite element predictions of a tensile test of cylindrical specimens obtained by rigid-plastic and elastoplastic finite element methods are compared in terms of tensile load-elongation curve and deformed shape. The flow stress curve used for this study is obtained by a scheme of obtaining flow stress at large strain from tensile test of cylindrical specimen using rigid-plastic finite element method. The two predictions are compared in a quantitative manner and discussed not only to find some similarity but also to distinguish the elastoplastic finite element method from the rigid-plastic finite element method.
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4

Christensen, A. P., and A. A. Shabana. "Exact Modeling of the Spatial Rigid Body Inertia Using the Finite Element Method." Journal of Vibration and Acoustics 120, no. 3 (1998): 650–57. http://dx.doi.org/10.1115/1.2893879.

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In the classical finite element literature beams and plates are not considered as isoparametric elements since infinitesimal rotations are used as nodal coordinates. As a consequence, exact modeling of an arbitrary rigid body displacement cannot be obtained, and rigid body motion does not lead to zero strain. In order to circumvent this problem in flexible multibody simulations, an intermediate element coordinate system, which has an origin rigidly attached to the origin of the deformable body coordinate system and has axes which are parallel to the axes of the element coordinate system in the undeformed configuration was introduced. Using this intermediate element coordinate system and the fact that conventional beam and plate shape functions can describe an arbitrary rigid body translation, an exact modeling of the rigid body inertia can be obtained. The large rigid body translation and rotational displacements can be described using a set of reference coordinates that define the location of the origin and the orientation of the deformable body coordinate system. On the other hand, as demonstrated in this investigation, the incremental finite element formulations do not lead to exact modeling of the spatial rigid body mass moments and products of inertia when the structures move as rigid bodies, and such formulations do not lead to the correct rigid body equations of motion. The correct equations of motion, however, can be obtained if the coordinates are defined in terms of global slopes. Using this new definition of the element coordinates, an absolute nodal coordinate formulation that leads to a constant mass matrix for the element can be developed. Using this formulation, in which no infinitesimal or finite rotations are used as nodal coordinates, beam and plate elements can be treated as isoparametric elements.
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Guo, Yong Ming. "Computer Modeling of Extrusion by the Rigid-Plastic Hybrid Element Method." Materials Science Forum 505-507 (January 2006): 703–8. http://dx.doi.org/10.4028/www.scientific.net/msf.505-507.703.

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In this paper, a rigid-plastic hybrid element method is formulated, which is a mixed approach of the rigid-plastic domain-BEM and the rigid-plastic FEM based on the theory of slightly compressible plasticity. Since compatibilities of velocity and velocity's derivative between adjoining boundary elements and finite elements can be met, the velocity and the derivative of velocity can be calculated with the same precision for this hybrid element method. While, the compatibility of the velocity's derivative cannot be met for the rigid-plastic FEMs.
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6

Yu, Qi Cai, Ai Rong Liu, Ren Xiong, and Hui Jun Yu. "The Seismic Response Analysis of Continuous Rigid-Frame Bridge - Energy Method." Advanced Materials Research 378-379 (October 2011): 251–55. http://dx.doi.org/10.4028/www.scientific.net/amr.378-379.251.

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A 3D Finite Element model of a continuous rigid-frame bridge is constructed by the Midas/Civil bridge finite element analysis program in this paper, where fiber elements and plastic hinges are used for bridge piers. The lump mass method is used to simplify the infinite-degree-of-freedom continuous rigid-frame bridge into a multi-degree of freedom model. The energy solution of continuous rigid-frame bridge is given, and the time-history analysis of the bridge is applied. In addition, the energy response of continuous rigid-frame bridge with different pier height and reinforcement ratio are given based on the energy method, revealing the impact of pier height and reinforcement ratio on the displacement and energy response of continuous rigid-frame bridge.
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7

Li, Di, Wen Qian Kang, and Peng Wei Guo. "A Coupled Finite Element and Element-Free Galerkin Method for Rigid Plastic Problems." Key Engineering Materials 450 (November 2010): 490–93. http://dx.doi.org/10.4028/www.scientific.net/kem.450.490.

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The analysis for rigid plastic forming problems with finite element method can lose considerable accuracy due to severely distortional meshes. By measuring the mesh equality of elements, a coupling algorithm for rigid plastic problems have been proposed based on the interface element method, which converts the FE analysis into the EFG computation to preserve the accuracy in the region where meshes have been severely distorted. Numerical example shows that the present algorithms exploit the respective advantages of both the FE method whose computational efficiency is high and the EFG method which can throws out mesh distortions and be suitable for rigid plastic forming analysis.
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8

Tamura, Takeshi, Shoichi Kobayashi, and Tetsuya Sumi. "Rigid-Plastic Finite Element Method for Frictional Materials." Soils and Foundations 27, no. 3 (1987): 1–12. http://dx.doi.org/10.3208/sandf1972.27.3_1.

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9

Guo, Yong Ming. "Hot Forging Comparative Analyses by Using a Combined Finite Element Method." Key Engineering Materials 340-341 (June 2007): 737–42. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.737.

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In this paper, single action die and double action die hot forging problems are analyzed by a combined FEM, which consists of the volumetrically elastic and deviatorically rigid-plastic FEM and the heat transfer FEM. The volumetrically elastic and deviatorically rigid-plastic FEM has some merits in comparison with the conventional rigid-plastic FEMs. Differences of calculated results for the two forging processes can be clearly seen in this paper. It is also verified that these calculated results are similar to those of the conventional rigid-plastic FEM in comparison with analyses of the same numerical examples by the penalty rigid-plastic FEM.
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10

Wang, Chan Chin. "Finite Element Simulation for Forging Process Using Euler’s Fixed Meshing Method." Materials Science Forum 575-578 (April 2008): 1139–44. http://dx.doi.org/10.4028/www.scientific.net/msf.575-578.1139.

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A simulator based on rigid-plastic finite element method is developed for simulating the plastic flow of material in forging processes. In the forging process likes backward extrusion, a workpiece normally undergoes large deformation around the tool corners that causes severe distortion of elements in finite element analysis. Since the distorted elements may induce instability of numerical calculation and divergence of nonlinear solution in finite element analysis, a computational technique of using the Euler’s fixed meshing method is proposed to deal with large deformation problem by replacing the conventional way of applying complicated remeshing schemes when using the Lagrange’s elements. With this method, the initial elements are generated to fix into a specified analytical region with particles implanted as markers to form the body of a workpiece. The particles are allowed to flow between the elements after each deformation step to show the deforming pattern of material. The proposed method is found to be effective in simulating complicated material flow inside die cavity which has many sharp edges, and also the extrusion of relatively slender parts like fins. In this paper, the formulation of rigid-plastic finite element method based on plasticity theory for slightly compressible material is introduced, and the advantages of the proposed method as compared to conventional one are discussed.
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11

Krukowski, Jerzy, and Andrzej Maczynski. "Application of the Rigid Finite Element Method for Modelling an Offshore Pedestal Crane." Archive of Mechanical Engineering 60, no. 3 (2013): 451–71. http://dx.doi.org/10.2478/meceng-2013-0028.

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Abstract In offshore pedestal cranes one may distinguish three components of considerable length: a pedestal, a boom and a frame present in some designs. It is often necessary in dynamical analyses to take into account their flexibility. A convenient and efficient method for modelling them is the rigid finite element method in a modified form. The rigid finite element method allows us to take into account the flexibility of the beam system in selected directions while introducing a relatively small number of additional degrees of freedom to the system. This paper presents a method for modelling the pedestal, the frame and the boom of an offshore column crane, treating each of these components in a slightly different way. A custom approach is applied to the pedestal, using rigid finite elements of variable length. Results of sample numeric computations are included.
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12

Adamiec-Wójcik, I., J. Awrejcewicz, A. Nowak, and S. Wojciech. "Vibration Analysis of Collecting Electrodes by means of the Hybrid Finite Element Method." Mathematical Problems in Engineering 2014 (2014): 1–19. http://dx.doi.org/10.1155/2014/832918.

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The paper presents a hybrid finite element method of shell modeling in order to model collecting electrodes of electrostatic precipitators. The method uses the finite element method to reflect elastic features and the rigid finite element method in order to model mass features of the body. A model of dust removal systems of an electrostatic precipitator is presented. The system consists of two beams which are modeled by means of the rigid finite element method and a system of collecting shells modeled by means of the hybrid finite element method. The paper discusses both the procedure of deriving the equations of motion and the results of numerical simulations carried out in order to analyze vibrations of the whole system. Experimental verification of the model is also presented.
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13

Cheng, Li Juan, and Xin Chi Yan. "A Comparison between the Matrix Displacement Method and the Finite Element Method in Solving Frame Structure with SM Solver Software." Applied Mechanics and Materials 580-583 (July 2014): 3042–45. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.3042.

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Using matrix displacement method and the finite element method to calculate the internal force of the same frame, and then comparing the results. Meanwhile, due to the theory that SM Solver can calculate the exact solution of rigid frame structure forces, we use it to support our experiment. Finally, we succeed in calculating and proving that Matrix displacement method and the finite element method have the same result in solving the rigid frame structure forces.
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14

OHTSUKA, Satoru, Yoshifumi MIYATA, Hirofumi IKEMOTO, and Tsukasa IWABE. "Slope Stability Analysis with Rigid-Plastic Finite Element Method." Landslides 38, no. 3 (2001): 235–43. http://dx.doi.org/10.3313/jls1964.38.3_235.

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15

Wittbrodt, Edmund, and Stanisław Wojciech. "Forty-Five Years of the Rigid Finite Element Method." Archive of Mechanical Engineering 60, no. 3 (2013): 313–18. http://dx.doi.org/10.2478/meceng-2013-0020.

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16

Li, Di, Jia Chuan Xu, and Wen Qian Kang. "Applying Element-Free Galerkin Method to Simulate Die Forging Problems." Advanced Materials Research 139-141 (October 2010): 1174–77. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.1174.

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The analysis for die forging forming problems with finite element method can lose considerable accuracy due to severely distortional meshes. The element-free Galerkin method is suitable for large deformation analysis and provides a higher rate of convergence than that of the conventional finite element methods. A rigid-plastic meshless method based on the element-free Galerkin method has been applied to die forging problems. The arc-tangent friction model is used to handle frictional contact and the penalty method is applied to impose the volumetric incompressibility conditions. By dividing all integration points set into the point subset of the rigid zones and the point subset of the plastic zones, nonsmoothness of the rigid-plastic constitutive relation can be eliminated. A die forging example has been analyzed to demonstrate the performance of the method.
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17

Zhang, Xingwu, Xuefeng Chen, Zhibo Yang, Bing Li, and Zhengjia He. "A Stochastic Wavelet Finite Element Method for 1D and 2D Structures Analysis." Shock and Vibration 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/104347.

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A stochastic finite element method based on B-spline wavelet on the interval (BSWI-SFEM) is presented for static analysis of 1D and 2D structures in this paper. Instead of conventional polynomial interpolation, the scaling functions of BSWI are employed to construct the displacement field. By means of virtual work principle and BSWI, the wavelet finite elements of beam, plate, and plane rigid frame are obtained. Combining the Monte Carlo method and the constructed BSWI elements together, the BSWI-SFEM is formulated. The constructed BSWI-SFEM can deal with the problems of structural response uncertainty caused by the variability of the material properties, static load amplitudes, and so on. Taking the widely used Timoshenko beam, the Mindlin plate, and the plane rigid frame as examples, numerical results have demonstrated that the proposed method can give a higher accuracy and a better constringency than the conventional stochastic finite element methods.
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18

Cheng, Hua Hu, Ai Min Li, Ming Wen Guan, Xian Wei Yang, and Jing Luo. "Finite Element Method for Solving Bucking Load of Semi-Rigid Steel Frame." Advanced Materials Research 834-836 (October 2013): 1337–42. http://dx.doi.org/10.4028/www.scientific.net/amr.834-836.1337.

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Took two layers of single span lateral sway semi-rigid connecting steel frame to bear vertical load function as the research object, adopting finite element method for solving the bucking load of the whole losing the stability of the semi-rigid connecting steel frame. Using based on the energy method and the three parabolic interpolation deflection curve function to obtain the relationship between the both element ends of internal force and displacement and introducing semi-rigid beam element stiffness matrix and geometric stiffness matrix of element integrate the global stiffness matrix which contains the flexibility of the connections and the component geometry nonlinear, thus deducing the stability characteristic equation of semi-rigid steel frame. And the MATLAB language composition program is applied to calculate the buckling load of overall losing stability of the semi-rigid steel frame, thus obtaining the buckling load of semi-rigid steel frame. The method is a very effective numerical calculating method which can solve the stability problems of relatively complicated stress conditions or relatively complicated structure composition conditions and it can also satisfy the requirement of higher calculation accuracy, easy for programming and calculation and of great practicability.
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19

Adamiec-Wójcik, Iwona, Andrzej Nowak, and Stanisław Wojciech. "Modelling Plates and Shells by Means of the Rigid Finite Element Method." Archive of Mechanical Engineering 62, no. 1 (2015): 101–14. http://dx.doi.org/10.1515/meceng-2015-0007.

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Abstract The rigid finite element method (RFEM) has been used mainly for modelling systems with beam-like links. This paper deals with modelling of a single set of electrodes consisting of an upper beam with electrodes, which are shells with complicated shapes, and an anvil beam. Discretisation of the whole system, both the beams and the electrodes, is carried out by means of the rigid finite element method. The results of calculations concerned with free vibrations of the plates are compared with those obtained from a commercial package of the finite element method (FEM), while forced vibrations of the set of electrodes are compared with those obtained by means of the hybrid finite element method (HFEM) and experimental measurements obtained on a special test stand.
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20

Toh, C. H., Y. C. Shiau, and Shiro Kobayashi. "Analysis of a Test Method of Sheet Metal Formability Using the Finite-Element Method." Journal of Engineering for Industry 108, no. 1 (1986): 3–8. http://dx.doi.org/10.1115/1.3187039.

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The rigid-plastic finite element method was used to study the formability of sheet materials. In the finite element simulations, sheet material was assumed to be rigid plastic and to follow Hill’s anisotropic yield criterion and its associated flow rules. The work hardening effect and Coulomb friction were incorporated into the analysis. Hasek’s test, hemispherical punch stretching of the circular blank with circular cutoff, was analyzed in detail by simulation. The computed solutions were obtained using different blank geometries and coefficients of friction between the tool-sheet interface. Strain paths of critical elements were plotted in major and minor surface strain space. Experiments were also carried out using AISI 304 stainless steel sheets, and the results were compared with predictions for load-displacement curves and thickness strain distributions. Further, an attempt was made to construct a forming limit curve based on the detailed analysis of the test by computation.
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21

Praveen, Kumar Sonwane Asst. Prof. Prateek Yadav. "STRUCTURAL ANALYSIS OF RIGID FLANGE COUPLING BY FINITE ELEMENT METHOD." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 7 (2017): 164–70. https://doi.org/10.5281/zenodo.839155.

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A coupling is a device which is used to connect two shafts for power transmission. A shaft coupling consist a rigid or flexible joint. Rigid joint holds both the shaft with perfectly alignment whereas flexible joint allows angular displacement between the shaft axis. This project shows the structural analysis of flange coupling by using ANSYS software version 16. For this analysis a theoretical solution is taken from “DESIGN OF MACHINE ELEMENTS by VB BHANDARI” 3<sup>rd</sup> edition page no 366.
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22

Wen, Zhong Hua, and Juan Zhou. "Stability Analysis of Concrete Gravity Dam." Applied Mechanics and Materials 238 (November 2012): 252–55. http://dx.doi.org/10.4028/www.scientific.net/amm.238.252.

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The safety is first-class important event of the dam. The crash for the gravity dam usually causes due to slid, the slippery stable is a key problem of big dam. This paper checks the stability of one dam by rigid body limit equilibrium method and finite element technique. Rigid body limit equilibrium method is a kind of traditional stable analytical method, which is confirmed by factual engineering, the safe coefficient is always used to judge the big dam safety degree. The finite element technique is a method which is quickly developed in the calculator science and the basic theories of the rock soil mechanics. The paper compares the two methods and makes sure the fact that the finite element is more reasonable than rigid body limit equilibrium method for analyzing the stability of gravity dam.
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23

Qu, Heng Xu. "Nonlinearity Finite Element Analysis of Settlement of Support." Applied Mechanics and Materials 71-78 (July 2011): 4872–75. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.4872.

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The rigid frame of some material storage was analyzed by the nonlinearity finite element method. The intensity and stability of the rigid frame acted by out side load and support settlement are calculated. The theory and suggestion are given for designing, reinforcing and maintaining the structure.
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24

Sun, Peng, Jin Huang, Jiaying Zhang, and Fanbo Meng. "Wrinkling Patterns and Stress Analysis of Tensile Membrane with Rigid Elements." Applied Sciences 12, no. 13 (2022): 6630. http://dx.doi.org/10.3390/app12136630.

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Heterogeneous membrane structures with rigid elements are often used in flexible electronic and aerospace structures. In heterogeneous membrane structures under tension, the disturbance stress caused by the rigid element changes the stress distribution of the membrane, and it is difficult to calculate the stress distribution of the heterogeneous membrane structure using the traditional stress functions method. In this article, we propose a method for calculating the non-uniform stress field based on the Eshelby elastic inclusion theory, which states that tension membrane structures contain square rigid elements. The wrinkle distribution of the rigid element at different positions is predicted by a stress analysis, and the influence of the position and size of the rigid element on the wrinkle distribution of the membrane is studied by a finite-element simulation. The research results show that the wrinkle pattern of the stretched membrane can be controlled by changing the position of the rigid element to meet some special needs.
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25

Hu, Wengang, and Na Liu. "Comparisons of finite element models used to predict bending strength of mortise-and-tenon joints." BioResources 15, no. 3 (2020): 5801–11. http://dx.doi.org/10.15376/biores.15.3.5801-5811.

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This study aimed to obtain a better method for establishing a finite element model of mortise-and-tenon (M-T) joints. Three types of M-T joint finite element models, which included a whole rigid model, a tie rigid model, and a semi-rigid model, were established and compared with experimental results by predicting the bending moment capacity (BMC) of M-T joints based on the finite element method (FEM). The results showed that the semi-rigid model performed much better than the tie rigid model, followed by the whole rigid model. For the semi-rigid model, the ratios of FEM ranged from 0.85 to 1.09. For the whole rigid model and tie rigid model, the BMC of the M-T joint was overestimated. In addition, the results showed that tenon size remarkably affected the BMC and stiffness of the M-T joint, and tenon width had a greater effect on the BMC of the M-T joint than the tenon length.
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Liu, Xiu Li, and Yan Wang. "Internal Force Calculation Method of the Steel Portal Frames with End-Plate Bolted Connections." Applied Mechanics and Materials 94-96 (September 2011): 564–70. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.564.

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Simplified calculation of initial stiffness of end-plate bolted connections is given in the paper. Considering the influence of the end-plate bolted connections to the internal force of the steel portal frames, the modified elastic calculation of internal force is suggestted. Comparing with the finite element calculation results of different span steel portal frames, the calculated value is agree with the finite element calculation results. End-plate bolted connections are semi-rigid connections, and the flexibility of the connections affects the behavior of the frames, the internal force of rigid frames should be modified when semi-rigid connections used. The modified elastic calculation of internal force of the steel portal frames with end-plate bolted connections is simple and has good agree with the finite element results, which can give reference to engineering design.
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27

Cheong, Wen Chiet, Heng Keong Kam, Chan Chin Wang, and Ying Pio Lim. "Rigid-Plastic Finite Element Simulation of Cold Forging and Sheet Metal Forming by Eulerian Meshing Method." Advanced Materials Research 970 (June 2014): 177–84. http://dx.doi.org/10.4028/www.scientific.net/amr.970.177.

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A computational technique of rigid-plastic finite element method by using the Eulerian meshing method was developed to deal with large deformation problem in metal forming by replacing the conventional way of applying complicated remeshing schemes when using the Lagrange’s elements. During metal forming process, a workpiece normally undergoes large deformation and causes severe distortion of elements in finite element analysis. The distorted element may lead to instability in numerical calculation and divergence of non-linear solution in finite element analysis. With Eulerian elements, the initial elements are generated to fix into a specified analytical region with particles implanted as markers to form the body of a workpiece. The particles are allowed to flow between the elements after each deformation step to show the deforming pattern of material. Four types of cold forging and sheet metal clinching were conducted to investigate the effectiveness of the presented method. The proposed method is found to be effective by comparing the results on dimension of the final product, material flow behaviour and punch load versus stroke obtained from simulation and experiment.
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Ding, Huaiping, Zheng H. Zhu, Xiaochun Yin, Lin Zhang, Gangqiang Li, and Wei Hu. "Hamiltonian Nodal Position Finite Element Method for Cable Dynamics." International Journal of Applied Mechanics 09, no. 08 (2017): 1750109. http://dx.doi.org/10.1142/s1758825117501095.

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This paper developed a new Hamiltonian nodal position finite element method (FEM) to treat the nonlinear dynamics of cable system in which the large rigid-body motion is coupled with small elastic cable elongation. The FEM is derived from the Hamiltonian theory using canonical coordinates. The resulting Hamiltonian finite element model of cable contains low frequency mode of rigid-body motion and high frequency mode of axial elastic deformation, which is prone to numerical instability due to error accumulation over a very long period. A second-order explicit Symplectic integration scheme is used naturally to enforce the conservation of energy and momentum of the Hamiltonian finite element system. Numerical analyses are conducted and compared with theoretical and experimental results as well as the commercial software LS-DYNA. The comparisons demonstrate that the new Hamiltonian nodal position FEM is numerically efficient, stable and robust for simulation of long-period motion of cable systems.
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29

Holzer, S. M., C. H. Wu, and J. Tissaoui. "Finite Element Stability Analysis of a Glulam Dome." International Journal of Space Structures 7, no. 4 (1992): 353–61. http://dx.doi.org/10.1177/026635119200700411.

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The paper centres on stability investigations of a glued-laminated timber (glulam) dome under several snow load conditions. The dome consists of a triangulated network of curved glulam beams, a decking supported by curved purlins, and a steel tension ring. The dome is represented by two different models. The first model is a rigid-jointed space frame composed of curved beam elements. The second model consists of straight beam elements, with rigid or flexible joints, and a bracing to simulate the lateral support of the beams provided by the decking. Two finite element methods are presented and used in the analyses: A nonlinear method that computes the buckling load and a combined nonlinear/linear eigenvalue method that provides estimates of the buckling load. The results presented include buckling pressures, buckling modes, effects of joint stiffness and bracing on the stability of the dome, and the status of the material prior to buckling.
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Pionteck, Aymeric, Baptiste Pierrat, Sébastien Gorges, Jean-Noël Albertini, and Stéphane Avril. "Finite-Element Based Image Registration for Endovascular Aortic Aneurysm Repair." Modelling 1, no. 1 (2020): 22–38. http://dx.doi.org/10.3390/modelling1010002.

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In this paper we introduce a new method for the registration between preoperative and intraoperative computerized tomography (CT) images used in endovascular interventions for aortic aneurysm repair. The method relies on a 3D finite-element model (FEM) of the aortic centerline reconstructed from preoperative CT scans. Intraoperative 2D fluoroscopic images are used to deform the 3D FEM and align it onto the current aortic geometry. The method was evaluated on clinical datasets for which a reference CT scan was available to evaluate the registration errors made by our method and to compare them with other registration methods based on rigid transformations. Errors were estimated based on the predicted locations of landmarks positioned at different branch ostia. It appeared that our method always reduced the registration errors of at least 20% compared to gold standard 3D rigid registration and permitted to reach a global precision of 3.8 mm and a renal precision of 2.6 mm, which is a significant improvement compatible with surgical specifications. Finally, the major asset of our method is that it only requires one fluoroscopic intraoperative 2D image to perform the 3D non-rigid registration. This would reduce patient irradiation and cut the costs compared to traditional methods.
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31

Lu, Shan, and Jing Ping Liu. "Finite Element Design and Manufacturing Process of Flexible Roller." Advanced Materials Research 472-475 (February 2012): 1582–85. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.1582.

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In this paper, the design of rigid roller was optimized with finite element method, and processing technology of rigid roller was improved. A new type of flexible roller structure has been designed, and investigated its processing technology, which have important guiding significance in real productivity.
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32

Shabana, A. A., H. A. Hussien, and J. L. Escalona. "Application of the Absolute Nodal Coordinate Formulation to Large Rotation and Large Deformation Problems." Journal of Mechanical Design 120, no. 2 (1998): 188–95. http://dx.doi.org/10.1115/1.2826958.

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There are three basic finite element formulations which are used in multibody dynamics. These are the floating frame of reference approach, the incremental method and the large rotation vector approach. In the floating frame of reference and incremental formulations, the slopes are assumed small in order to define infinitesimal rotations that can be treated and transformed as vectors. This description, however, limits the use of some important elements such as beams and plates in a wide range of large displacement applications. As demonstrated in some recent publications, if infinitesimal rotations are used as nodal coordinates, the use of the finite element incremental formulation in the large reference displacement analysis does not lead to exact modeling of the rigid body inertia when the structures rotate as rigid bodies. In this paper, a simple non-incremental finite element procedure that employs the mathematical definition of the slope and uses it to define the element coordinates instead of the infinitesimal and finite rotations is developed for large rotation and deformation problems. By using this description and by defining the element coordinates in the global system, not only the need for performing coordinate transformation is avoided, but also a simple expression for the inertia forces is obtained. The resulting mass matrix is constant and it is the same matrix that appears in linear structural dynamics. It is demonstrated in this paper that this coordinate description leads to exact modeling of the rigid body inertia when the structures rotate as rigid bodies. Nonetheless, the stiffness matrix becomes nonlinear function even in the case of small displacements. The method presented in this paper differs from previous large rotation vector formulations in the sense that the inertia forces, the kinetic energy, and the strain energy are not expressed in terms of any orientation coordinates, and therefore, the method does not require interpolation of finite rotations. While the use of the formulation is demonstrated using a simple planar beam element, the generalization of the method to other element types and to the three dimensional case is straightforward. Using the finite element procedure presented in this paper, beams and plates can be treated as isoparametric elements.
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33

Kaminski, Henryk, and Pawel Fritzkowski. "Application of the rigid finite element method to modelling ropes." Latin American Journal of Solids and Structures 10, no. 1 (2013): 91–99. http://dx.doi.org/10.1590/s1679-78252013000100009.

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34

Zhang, Xiong. "Slope stability analysis based on the rigid finite element method." Géotechnique 49, no. 5 (1999): 585–93. http://dx.doi.org/10.1680/geot.1999.49.5.585.

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35

Kang, G. P., K. Lee, Y. H. Kim, and K. S. Shin. "Implementation of Polycrystal Model in Rigid Plastic Finite Element Method." Transactions of Materials Processing 26, no. 5 (2017): 286–92. http://dx.doi.org/10.5228/kstp.2017.26.5.286.

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36

YAMAKURI, Yuki, Shun-ichi KOBAYASHI, Jun SAITO, and Tatsunori MATSUMOTO. "RIGID PLASTIC FINITE ELEMENT METHOD USING MODIFIED CAM-CLAY MODEL." Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 73, no. 2 (2017): I_333—I_342. http://dx.doi.org/10.2208/jscejam.73.i_333.

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37

TOMITA, Yoshihiro, Akio SHINDO, Hirokazu GOTOH, and Man-Seok CHU. "Rigid-plastic finite element method using rate type constitutive equation." Transactions of the Japan Society of Mechanical Engineers Series A 54, no. 499 (1988): 592–96. http://dx.doi.org/10.1299/kikaia.54.592.

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38

TOMITA, Yoshihiro, Akio SHINDO, Hirokazu GOTOH, and Man-Seok CHU. "Rigid-Plastic Finite Element Method Using Rate-Type Constitutive Equation." JSME international journal. Ser. 1, Solid mechanics, strength of materials 32, no. 1 (1989): 107–12. http://dx.doi.org/10.1299/jsmea1988.32.1_107.

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39

Li, Yan, Xiao Wei Han, and Wen Yang Dong. "Based on Static Interval Finite Element Method of Analysis of Rigid Frame Structure." Applied Mechanics and Materials 302 (February 2013): 599–602. http://dx.doi.org/10.4028/www.scientific.net/amm.302.599.

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In the framework of the actual structure of projects and inevitably there are some uncertainties. Interval finite element method can effectively function to define the scope and provide a strict mathematical sense, the results of the calculations, and finite element method for interval data can be expressed uncertainty. In this paper, the theoretical calculation of interval finite element of a layer rigid frame structure, compared the simulation results with the combination of ANSYS modeling, Numerical analysis of examples from the results of the theoretical value and the true value of the error between the results of a very small can be proved that the interval finite element theory and method for frame structures is very applicable.
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40

Masaoka, Koji, and Alaa Mansour. "Ultimate Compressive Strength of Imperfect Unstiffened Plates: Simple Design Equations." Journal of Ship Research 48, no. 03 (2004): 191–201. http://dx.doi.org/10.5957/jsr.2004.48.3.191.

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A simple design equation for predicting the ultimate compressive strength of unstiffened plates with misalignment, initial deflection, and welding residual stresses is developed in this study. A nonlinear finite element method is used to investigate the ultimate strength of the imperfect plate. The method incorporates both geometric and material nonlinearity. Buckling and plasticity behavior of the plate can be expressed using this finite element system. The results from the finite element method and an analytical method using large deflection theory together with rigid-plastic theory are compared. It was found that the analytical method using large deflection and rigid-plastic theory is not always accurate. Reduction factors of the ultimate strength due to welding residual stresses and initial deflection are generated from the results of the nonlinear finite element method. A new equation for ultimate strength of imperfect plates was developed using these reduction factors. The accuracy of the proposed new equation is confirmed by comparing it with the finite element results.
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41

Sousa, Rafael Araujo de, Frederico Henz Pitaluga, Andrés Batista Cheung, and André Luis Christoforo. "Plane straight element with semi-rigid connections: formulation from an energetic approach." Caderno Pedagógico 21, no. 9 (2024): e7358. http://dx.doi.org/10.54033/cadpedv21n9-006.

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Discrete connectors, such as screws, nails, and others, are commonly used to fasten various structural elements. The established hypothesis regarding the behavior of joints conceived with discrete connectors directly impacts the distribution of forces. For example, in the design of truss structures, the resisting moments that arise due to the arrangement of the connectors are often disregarded, as considering the semi-rigid behavior of the joints introduces greater complexities in the modeling required to determine displacements and internal forces. This work presents the stiffness matrix of a plane straight element with semi-rigid connections and its support reactions for three loading cases from the application of the Principle of Virtual Work (PVW). Semi-rigid connections are represented by translational and rotational linear elastic springs at both ends of the element, giving it six degrees of freedom. One example shows the application of this formulation using the Classical Displacement Method and the results are also obtained numerically via the Finite Element Method (FEM)This work presents the stiffness matrix of a plane straight element with semi-rigid connections and its support reactions for three loading cases from the application of the Principle of Virtual Work (PVW). Semi-rigid connections are represented by translational and rotational linear elastic springs at both ends of the element, giving it six degrees of freedom. One example shows the application of this formulation using the Classical Displacement Method and the results are also obtained numerically via the Finite Element Method (FEM).
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42

Mohammed, Douaa Raheem, and Murtada A. Ismael. "Effect of Semi-Rigid Connection on Post-Buckling Behaviour of Frames Using Finite Element Method." Civil Engineering Journal 5, no. 7 (2019): 1619–30. http://dx.doi.org/10.28991/cej-2019-03091358.

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It is very important task to estimate the post buckling for structures that have slender elements, since post-buckling state means loss the structures stability related with large displacement and that lead to demolition the structures. On the other hand, in the design and analysis of steel frame, the beam-columns connection is assumed perfect pin or fully rigid, this assumption leads to incorrect estimation of the structural behaviour. Practically, beam-column connection is between these two assumptions and this type of connection is called semi-rigid. This study presents a numerical analysis using finite element method to investigate the effect of semi-rigid connections on post-buckling behaviour of two-dimensional frames with different supporting types and different lateral loading cases. The semi-rigid connections are modelled as rotational spring in linear elastic stage, using COMBIN14 element which has rotational stiffness value. The numerical results showed that; the effect of changing the beam-column connections from rigid to semi rigid for toggle frame with rotational joint stiffness 25EI/L to 15EI/L and 10EI/L led to decrease the initial peak load of the frames of fixed-fixed supports with percentages 3.36 %, 5.6% and 8.95% respectively as compared with that of the rigid connection frame, While, the frames with fixed-pin and pin-pin supports cases did not affected by this changing. The fixed-fixed support case is more affected by changing the joint stiffness from other cases and the effect of changing the joint stiffness in pin-pin support model is less significant from others. This can be attributed to that, the fixed-fixed supports is restrained in all degree of freedom and will be affected by any rotation and presence the pin in other cases makes the frame less affected by the rotation of semi-rigid connection. The effect of changing the beam-column connection from rigid to semi rigid decreases with presence the lateral load. Thus, the semi-rigid connection should be considered in analysis and design of steel frames to obtain more realistic results.
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Cho, Ji Hyun, Byeong Uk Song, Keum Hee Seo, Kyung Tak Min, and Tae Il Seo. "Optimal Design of Bone Plate System Using Finite Element Method." Advanced Materials Research 433-440 (January 2012): 3045–51. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.3045.

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This paper investigates a design optimization for "Bone Plate System" which can directly fix human bones fractured. The active trauma system consists of several shaped bone plates and implant screws for fixation of fractured human bones with various manual instruments allowing to handle them. The material corresponds to titanium because it was well known as harmless material when being inserted into human body. This system has to be suitably rigid as well as manually bended in orthopedic surgery operations. Then bone plates have to be designed with suitable shapes. In order to verify whether bone plates were well designed, a series of bending tests. However optimized shapes of bone plates have to be determined before unnecessary a number of bending tests. For this purpose FEM(Finite Elements Method) was applied during design process which allows us to investigate the bending strengths of bone plates. Based on FEM results, dimensions of bone plates were optimized in order to be suitably rigid without actual bending tests.
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44

Christou, Petros, and Christos Venizelou. "The Contribution of the Infill Walls to the Lateral Strength of Concrete Frames." Open Construction & Building Technology Journal 13, no. 1 (2019): 114–22. http://dx.doi.org/10.2174/1874836801913010114.

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Background: Recent research studies conclude that the contribution of the infill walls to the overall lateral strength of frames is significant. The current state of the art includes two main approaches for the idealization of the behavior of the infill walls and their implementation in software. Micro modelling includes the use of the finite element method whereas the macro modelling, includes the use of one-dimensional compressive diagonal strut elements to replace the infill wall and provide the equivalent lateral stiffness. Objective: The aim of this study was to compare various methods for the simulation of the infill walls with the finite element method and propose an alternative approach which makes use of the rigid end offset which is a feature available in most of the finite element software. Methods: A reinforced concrete frame model with an infill wall was created. The model was modified to form combinations of infill wall thicknesses and values of Young’s modulus. The models were analyzed using the finite element method. The results were utilized to develop equations for the calculation of the length of rigid end offsets for the beams and columns of the frame. The rigid end offsets were then used in the analysis to numerically stiffen the frame and simulate an effective lateral strength contribution from the infill wall. Results: The results of the implementation of the rigid end offsets to simulate the contribution of the infill walls to the lateral stiffness of the frame were compared to the results of the results from the finite element analysis. Specifically, the results for the walls normally found in construction (less or equal to 3m in height and with thickness less or equal to 25cm) showed a very good agreement while the remaining results were very close. Conclusion: This work proposes equations for calculation of the length for the rigid end offsets which can be used in the analysis of frames with infill walls. The results show that the utilization of this feature from the structural analysis software in the analysis of frames, results in adequate stiffening of the overall frame, thus, providing an equivalent stiffness which accounts for the presence of the infill walls.
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45

Adamiec-Wójcik, Iwona, Łukasz Drąg, and Stanisław Wojciech. "A New Approach to the Rigid Finite Element Method in Modeling Spatial Slender Systems." International Journal of Structural Stability and Dynamics 18, no. 02 (2018): 1850017. http://dx.doi.org/10.1142/s0219455418500177.

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The static and dynamic analysis of slender systems, which in this paper comprise lines and flexible links of manipulators, requires large deformations to be taken into consideration. This paper presents a modification of the rigid finite element method which enables modeling of such systems to include bending, torsional and longitudinal flexibility. In the formulation used, the elements into which the link is divided have seven DOFs. These describe the position of a chosen point, the extension of the element, and its orientation by means of the Euler angles Z[Formula: see text]Y[Formula: see text]X[Formula: see text]. Elements are connected by means of geometrical constraint equations. A compact algorithm for formulating and integrating the equations of motion is given. Models and programs are verified by comparing the results to those obtained by analytical solution and those from the finite element method. Finally, they are used to solve a benchmark problem encountered in nonlinear dynamic analysis of multibody systems.
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46

Jiang, Chun Rong, Long Jin, Min Qiang Hu, and Rui Xia Wang. "Rigid Contact Model of Ultrasonic Motor Based on Finite Element Method." Applied Mechanics and Materials 105-107 (September 2011): 495–99. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.495.

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Rigid contact model of rotor/stator in ring type traveling wave ultrasonic motor without frictional material based on finite element method is proposed in this paper. First, the vibration of the stator is analyzed. Next, the rigid contact model is simulated by finite element method. Subsequently, the contact mechanism of the rotor/stator as well as performance of the ultrasonic motor is studied, and the performance of motors with two different kinds of rotor is compared. It is indicated that contact length of the rotor/stator along circumferential direction decreases from the outer to the inner edge and the stall torque increases and no-load speed decreases with preload force increasing. The result is identified as being useful in designing and analyzing the ultrasonic motor.
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47

Wei, Qun, Hua Jiang, and Cheng Shan Peng. "Study on Actual Finite Element Analysis of Steel Structure." Applied Mechanics and Materials 501-504 (January 2014): 538–42. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.538.

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Due to the limitation conditions of computer hardware in the past, the structure members need to be simplified in order to save the computing resources during the finite element analysis (FEA). During FEA of Steel joints, the simplified model is considered as hinge joint, rigid joint or half-rigid joint, which is different with the actual force. With the improvement of computer technology and hardware, actual finite element analysis method (AFEA) is proposed in consider of influence of actual model, welding, plate size and bolts, which is a more acceptable method in Precision compared with last.
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48

Dumitru, Nicolae, Raluca Malciu, Madalina Calbureanu, Sorin Dumitru, and Gabriel Cătălin Marinescu. "Dynamic Analysis of a Mobile Mechanical System with Deformable Elements." Advanced Materials Research 463-464 (February 2012): 1242–45. http://dx.doi.org/10.4028/www.scientific.net/amr.463-464.1242.

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The paper presents a method for studying mechanisms with deformable elements, based on overlapping the solid rigid motion over the elastic solid one, in order to identify the dynamic response of the system. Modeling was based on finite element method, so the cinematic elements were meshed in bar type finite elements and the degrees of freedom per node were settled according to the motion character (planar or spatial). A Lagrange formulation of the finite element was adopted for the deformable elements connected in multibody systems. In order to define the joints constraints, the conditions for compatibility between elements were defined using a Boolean constant matrix. Computer processed results were verified by an experimental model.
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49

Yu, Ying, Lin Jin, and Ping Xia. "Dynamic Nonlinear Analysis of Semi-Rigid Steel Frames Based on the Finite Particle Method." Applied Mechanics and Materials 744-746 (March 2015): 71–77. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.71.

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The Finite Particle Method (FPM), based on the Vector Mechanics, is a new structural analysis method. This paper explores the possibility of the proposed method being applied in the dynamic nonlinear analysis of semi-rigid steel frames. Taking the two dimensional beam element as an example, the formulations of the FPM to calculate the dynamic and geometric nonlinear problems are derived. Spring model with zero-length is adopted to simulate the relationship between internal forces and deformations of the semi-rigid steel connections. The nonlinear strengthen spring model is used to analyze the nonlinear behavior of the semi-rigid connection. Explicit time integrations are used to solve equilibrium equations. Comparing to traditional Finite Element Method, iterations and special modifications are not needed during the dynamic nonlinear analysis, which is more advantageous in structural complex behavior analysis. Two numerical examples are presented to analyze the behaviors of rigid and semi-rigid steel frames, and behaviors of linear and nonlinear semi-rigid connections, which demonstrate the accuracy and applicability of this method in dynamic nonlinear analysis.
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50

Adamiec-Wójcik, I., Ł. Drąg, and S. Wojciech. "Numerical Effectiveness of Different Formulations of the Rigid Finite Element Method." International Journal of Applied Mechanics and Engineering 19, no. 3 (2014): 475–85. http://dx.doi.org/10.2478/ijame-2014-0031.

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Abstract The paper presents an application of different formulations of the rigid finite element method (RFEM) to dynamic analysis of flexible beams. We discuss numerical effectiveness of the classical RFEM and an alternative approach in which continuity of displacements is preserved by means of constraint equations. The analysis is carried out for a benchmark problem of the spin-up motion in planar and spatial cases. Torsion is omitted for numerical simulations and two cases of the new approach are considered. The results obtained by means of these methods are compared with the results obtained using a nonlinear two-node superelement
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