Relevant bibliographies by topics / Degree of freedom. Finite element method

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Degree of freedom. Finite element method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Degree of freedom. Finite element method"

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Kim, Han-Soo, and Geon-Hyeong Kim. "Enriched degree of freedom locking in crack analysis using the extended finite element method." Advances in Mechanical Engineering 11, no. 6 (2019): 168781401985979. http://dx.doi.org/10.1177/1687814019859793.

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In this article, the enriched degree of freedom locking that can occur in a crack analysis with the extended finite element method is described. The discontinuous displacement field formulated by the enriched degree of freedom in the extended finite element method does not activate due to the enriched degree of freedom locking. Using the phantom node method, the occurrence of locking when two adjacent elements are simultaneously cracked in a loading step was verified. Two adjacent cracks can be determined to have developed simultaneously when an analysis model reveals a relatively uniform stre
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Chung, Nguyen Thai, Nguyen Ngoc Thuy, Duong Thi Ngoc Thu, and Le Hai Chau. "Numerical and Experimental Analysis of the Dynamic Behavior of Piezoelectric Stiffened Composite Plates Subjected to Airflow." Mathematical Problems in Engineering 2019 (January 29, 2019): 1–10. http://dx.doi.org/10.1155/2019/2697242.

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In this paper, the authors present results on dynamic behavior analysis of the stiffened composite plate with piezoelectric patches under airflow by finite element method and experimental study. The first-order shear deformation plate theory and nine-noded isoparametric piezoelectric laminated plate finite element with five elastic degrees of freedom at each node and one electric degree of freedom per element per piezoelectric layer were used in the dynamic analysis of plates by finite element method. The modern equipment was used in the dynamic behaviors analysis of plates subjected to airflo
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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 give
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Lin, Sheng, Jian Xu, and Chun Wang. "A Novel Compliant Mechanism with Three Degrees of Freedom." Applied Mechanics and Materials 373-375 (August 2013): 72–75. http://dx.doi.org/10.4028/www.scientific.net/amm.373-375.72.

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A novel compliant mechanism with three degree of freedom (DOF) is proposed, based on the method of Freedom and Constraint Topology (FACT). One movement and two rotations are obtained in Case 3, Type 2 freedom space. A redundant constraint is added to improve the symmetry. The finite element modal (FEM) is established and static force analysis is conducted. Results demonstrate that the compliant mechanism is decoupled. Modal analysis is carried out with the finite element method. And four orders natural frequency and main vibration mode are obtained.
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Zhang, Shilong, and Ernest D. Fasse. "A Finite-Element-Based Method to Determine the Spatial Stiffness Properties of a Notch Hinge." Journal of Mechanical Design 123, no. 1 (1998): 141–47. http://dx.doi.org/10.1115/1.1342157.

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Notch hinges are flexural hinges used to make complex, precise mechanisms. They are typically modeled as single degree-of-freedom hinges with an associated joint stiffness. This is not adequate for all purposes. This paper computes the six degree-of-freedom stiffness properties of notch hinges using finite element methods. The results are parameterized in terms of meaningful design parameters.
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Pechstein, Astrid S., Martin Meindlhumer, and Alexander Humer. "New mixed finite elements for the discretization of piezoelectric structures or macro-fiber composites." Journal of Intelligent Material Systems and Structures 29, no. 16 (2018): 3266–83. http://dx.doi.org/10.1177/1045389x18781026.

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We propose a new three-dimensional formulation based on the mixed tangential-displacement normal-normal-stress method for elasticity. In elastic tangential-displacement normal-normal-stress elements, the tangential component of the displacement field and the normal component of the stress vector are degrees of freedom and continuous across inter-element interfaces. Tangential-displacement normal-normal-stress finite elements have been shown to be locking-free with respect to shear locking in thin elements, which makes them suitable for the discretization of laminates or macro-fiber composites.
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Bertolini, Adrian F. "Review of Eigensolution Procedures for Linear Dynamic Finite Element Analysis." Applied Mechanics Reviews 51, no. 2 (1998): 155–72. http://dx.doi.org/10.1115/1.3098994.

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This article reviews the solution procedures used to extract eigenvalues and eigenvectors from linear dynamic systems using the finite element method. The main focus of this review article is on eigensolution techniques that provide only a partial eigensolution. Such eigensolvers extract only a small subset (normally the lowest) of the eigenvalues and eigenvectors present in the discretized system. They represent the most efficient approach to extracting eigenvalues and eigenvectors from large degree of freedom systems. The techniques covered include the subspace iteration method, the Lanczos
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Zeller, Christian, Binu Surendran, and Micheal F. Zaeh. "Parameterized Extended Finite Element Method for high thermal gradients." Journal of Computational Design and Engineering 5, no. 3 (2017): 329–36. http://dx.doi.org/10.1016/j.jcde.2017.12.001.

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Abstract The Finite Element Method results in inaccuracies for temperature changes at the boundary if the mesh is too coarse in comparison with the applied time step. Oscillations occur as the adjacent elements balance the excessive energy of the boundary element. An Extended Finite Element Method (XFEM) with extrinsic enrichment of the boundary element by a parameterized problem-specific ansatz function is presented. The method is able to represent high thermal gradients at the boundary with a coarse mesh as the enrichment function compensates for the excessive energy at the element affected
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Tao, Wei Jun, Shi Huan, Xiang Qian Tan, and Guo Ping Jiang. "Finite Element Analysis of Chaotic Vibration Isolation System." Applied Mechanics and Materials 94-96 (September 2011): 2057–60. http://dx.doi.org/10.4028/www.scientific.net/amm.94-96.2057.

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A multi-degree-of-freedom (MDOF) vibration isolation system (VIS) model is established with finite element method. And the numerical simulation results of the model under axisymmetric load in a good fit to the simplified model results. The model dynamics behavior under any load also was calculated, and it makes a further analysis for the vibration isolation effect of the model.
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Lee, Sung-Jun, Sang-Hwan Lee, and Yoon-Suk Chang. "PWSCC Assessment by Using Extended Finite Element Method." Journal of Multiscale Modelling 06, no. 03 (2015): 1550007. http://dx.doi.org/10.1142/s1756973715500079.

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The head penetration nozzle of control rod driving mechanism (CRDM) is known to be susceptible to primary water stress corrosion cracking (PWSCC) due to the welding-induced residual stress. Especially, the J-groove dissimilar metal weld regions have received many attentions in the previous studies. However, even though several advanced techniques such as weight function and finite element alternating methods have been introduced to predict the occurrence of PWSCC, there are still difficulties in respect of applicability and efficiency. In this study, the extended finite element method (XFEM),
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Dissertations / Theses on the topic "Degree of freedom. Finite element method"

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Aziz, Omer Carleton University Dissertation Engineering Civil. "A mechanism free plane quadrilateral element with rotational degrees of freedom and the associated facet shell element." Ottawa, 1988.

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Long, Craig Stephen. "Finite element developments and applications in structural topology optimization." Thesis, University of Pretoria, 2007. http://upetd.up.ac.za/thesis/available/etd-05062008-123415/.

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Sijková, Simona. "Návrh testovacího přípravku piezoelektrických vlastností PVDF vrstvy." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2020. http://www.nusl.cz/ntk/nusl-417737.

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The diploma thesis deals with a design of a tester device, a selection and verification of a suitable method for comparing the piezoelectric properties of tested PVDF samples. In the introduction, a basic overview of the theory is important to understand the issue and the various branches of use of PVDF in the field of energy harvesting. The tester device includes a unimorph piezoelectric cantilever beam with tip mass, whose properties are described by three models: a model with N degrees of freedom reduced to one degree of freedom (NDOF), a single degree of freedom model (SDOF), both created
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Kšica, Filip. "Modelování dynamických vlastností a chování technických soustav." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2016. http://www.nusl.cz/ntk/nusl-241945.

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The aim of this diploma thesis is to evaluate the potential of available methods for simplification and reduction of complex models of technical systems and their integration with experimental models. Finding methods, which would allow us to create models and run simulations in shorter periods of time, is key in design process of modern technical systems. In the beginning of this thesis, a theory necessary for understanding and application of presented methods is given. These methods can be separated into two groups, first as experiment related, second as simulation related. The first group co
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Volf, Tomáš. "Analýza magnetického pole pomocí MKP a magnetické sondy." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2010. http://www.nusl.cz/ntk/nusl-218786.

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The magnetic field analysis by MKP and magnetic probe project deals with magnetic field analysis of asynchronous machine cross section. This analysis is written in detail along with the necessary theory of asynchronous machine and the ANSYS program. The magnetic field of selected machine is measured by magnetic probe and results are compared with calculation. The next part of thesis is draft of device for the magnetic field analysis.
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Cattoën, Céline. "Applied mathematics of space-time & space+time : problems in general relativity and cosmology : a thesis submitted to the Victoria University of Wellington in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics /." ResearchArchive@Victoria e-thesis, 2009. http://hdl.handle.net/10063/972.

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Hajn, Jakub. "Parametrická studie chování konstrukce vinného sklepa." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2013. http://www.nusl.cz/ntk/nusl-226361.

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In traditional wine village Bořetice recently occurred to serious disturbances on structures of wine cellars. These failures were caused by, among other things, changes in the properties of the rock environment. This work focuses on the implementation of parametric studies in terms of changing the properties of rock (soil) from the viewpoint of structural arrangement of the wine cellar.
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Handley, Daniel Charles. "The modelling and optimal design of a three degree-of-freedom XYθz micro-motion stage". 2007. http://hdl.handle.net/2440/48304.

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This thesis presents an investigation of the modelling and optimal design of a particular 3-degree-of-freedom (DOF) XYθz micro-motion stage. This stage provides micron-scale motion in X and Y directions and a rotation about the Z-axis. Such a stage can be used for applications where positioning of components with micrometre, or even nanometre positioning accuracy is required. Some applications are; the positioning of samples in a scanning-electron-microscope; the positioning of masks in lithography; aligning fibre-optics and lasers; and manipulation of micro-scale objects in micro-biology or m
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Wang, Cynthia Dewi. "The linear wave response of a single and a periodic line-array of floating elastic plates: a thesis presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Albany, New Zealand." 2004. http://hdl.handle.net/10179/1625.

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We propose an improved technique to calculate the linear response of a single and multiple plates models due to ocean waves. The single plate model is the basis for the multiple plates model which we take to be a periodic array of identical plates. For the single plate model we solve the plate displacement by the Finite Element Method (FEM) and the water potential by the Boundary Element Method (BEM). The displacement is expanded in terms of the basis functions of the FEM. The boundary integral equation representing the potential is approximated by these basis functions. The resulting integral
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Books on the topic "Degree of freedom. Finite element method"

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Aminpour, Mohammad A. A 4-node assumed-stress hybrid shell element with rotational degrees of freedom. Langley Research Center, 1990.

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Gellert, Charles Lawrence. Space Station Freedom Solar Dynamic Modules structural modeling and analysis. National Aeronautics and Space Administration, 1991.

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Center, Langley Research, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Direct formulation of a 4-node hybrid shell element with rotational degrees of freedom. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990.

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Center, Langley Research, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. A 4-node assumed-stress hybrid shell element with rotational degrees of freedom. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990.

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Center, Langley Research, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. A 4-node assumed-stress hybrid shell element with rotational degrees of freedom. National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1990.

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A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Center for Space Structures and Controls, College of Engineering, University of Colorado, 1994.

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A, Crivelli Luis, B. J. Captain, and United States. National Aeronautics and Space Administration., eds. A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Center for Space Structures and Controls, College of Engineering, University of Colorado, 1994.

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A, Crivelli Luis, B. J. Captain, and United States. National Aeronautics and Space Administration., eds. A survey of the core-congruential formulation for geometrically nonlinear TL finite elements. Center for Space Structures and Controls, College of Engineering, University of Colorado, 1994.

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A, Aminpour Mohammad, Knight Norman F, and United States. National Aeronautics and Space Administration., eds. Improved assumed-stress hybrid shell element with drilling degrees of freedom for linear stress, buckling and free vibration analyses. National Aeronautics and Space Administration, 1992.

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A, Aminpour Mohammad, Knight Norman F, and United States. National Aeronautics and Space Administration., eds. Improved assumed-stress hybrid shell element with drilling degrees of freedom for linear stress, buckling and free vibration analyses. National Aeronautics and Space Administration, 1992.

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Book chapters on the topic "Degree of freedom. Finite element method"

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Babuška, Ivo. "Are High Degree Elements Preferable? Some Aspects of the h and h-p Version of the Finite Element Method." In Numerical Techniques for Engineering Analysis and Design. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3653-9_59.

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Quyen, Vu Thi Bich, Dao Ngoc Tien, Tran Thi Thuy Van, and Pham Van Dat. "Lagrange Multiplier Method for Treatment of Nonlinear Multi Freedom Constraints in Dynamic Finite Element Analysis of Truss System Subjected to Harmonic Load." In Lecture Notes in Civil Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-86001-1_34.

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Sharma, Anshul. "Active Vibration Attenuation of Smart Shell Structure Instrumented With Piezoelectric Layers." In Advanced Numerical Simulations in Mechanical Engineering. IGI Global, 2018. http://dx.doi.org/10.4018/978-1-5225-3722-9.ch002.

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The active control of vibration of piezoelectric flexible smart structure is an important issue in engineering. Reducing vibration may improve the user's comfort and safety. This chapter presents a fuzzy logic approach for active control of vibration of a smart composite laminated spherical shell. The spherical shell is in the form of a layered composite shell having collocated piezoelectric sensor/actuator pair. The vibratory response of the shell is modeled using finite element method. There are five mechanical degrees of freedom per node and the potential difference across the piezoelectric layer is introduced as an additional electrical degree of freedom on an element level. The mode superposition method has been used to transform the coupled finite element equations of motion in the physical coordinates into a set of reduced uncoupled equations in the modal coordinates. The simulation results illustrate that the superiority of designed nonconventional fuzzy logic controller over conventional controllers.
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He, Jingjing, Xuefei Guan, and Yongming Liu. "Fatigue Damage Prognostics and Life Prediction with Dynamic Response Reconstruction Using Indirect Sensor Measurements." In Diagnostics and Prognostics of Engineering Systems. IGI Global, 2013. http://dx.doi.org/10.4018/978-1-4666-2095-7.ch019.

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This study presents a general methodology for fatigue damage prognostics and life prediction integrating the structural health monitoring system. A new method for structure response reconstruction of critical locations using measurements from remote sensors is developed. The method is based on the empirical mode decomposition with intermittency criteria and transformation equations derived from finite element modeling. Dynamic responses measured from usage monitoring system or sensors at available locations are decomposed into modal responses directly in time domain. Transformation equations based on finite element modeling are used to extrapolate the modal responses from the measured locations to critical locations where direct sensor measurements are not available. The mode superposition method is employed to obtain dynamic responses at critical locations for fatigue crack propagation analysis. Fatigue analysis and life prediction can be performed given reconstructed responses at the critical location. The method is demonstrated using a multi degree-of-freedom cantilever beam problem.
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Gagliardi, Mariacristina. "Relevance of Mesh Dimension Optimization, Geometry Simplification and Discretization Accuracy in the Study of Mechanical Behaviour of Bare Metal Stents." In Innovations in Data Methodologies and Computational Algorithms for Medical Applications. IGI Global, 2012. http://dx.doi.org/10.4018/978-1-4666-0282-3.ch016.

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In this paper, a set of analyses on the deployment of coronary stents by using a nonlinear finite element method is proposed. The author proposes a convergence test able to select the appropriate mesh dimension and a methodology to perform the simplification of structures composed of cyclically repeated units to reduce the number of degree of freedom and the analysis run time. A systematic study, based on the analysis of seven meshes for each model, is performed, gradually reducing the element dimension. In addition, geometric models are simplified considering symmetries; adequate boundary conditions are applied and verified based on the results obtained from analysis of the whole model.
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Bulatov, Vasily, and Wei Cai. "Phase Field Method." In Computer Simulations of Dislocations. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198526148.003.0016.

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The phase field method (PFM) can be used as an approach to dislocation dynamics simulations alternative to the line DD method discussed in Chapter 10. The degrees of freedom in PFM are continuous smooth fields occupying the entire simulation volume, and dislocations are identified with locations where the field values change rapidly. As we will see later, as an approach to dislocation dynamics simulations PFM holds several advantages. First, it is easier to implement into a computer code than a line DD model. In particular, the complex procedures for making topological changes (Section 10.4) are no longer necessary. Second, the implementation of PFM can take advantage of well-developed and efficient numerical methods for solving partial differential equations (PDEs). Another important merit of PFM is its applicability in a wide range of seemingly different situations. For example, it is possible to simulate the interaction and co-evolution of several types of material microstructures, such as dislocations and alloying impurities, within a unified model. PFM has become popular among physicists and materials scientists over the last 20 years, but as a numerical method it is not new. After all, it is all about solving PDEs on a grid. Numerical integration of PDEs is a vast and mature area of computational mathematics. A number of efficient methods have already been developed, such as the finite difference method [121], the finite element method [122], and spectral methods [123], all of which have been used in PFM simulations. The relatively new aspects of PFM are associated with the method’s formulation and applications, which are partly driven by the growing interest in understanding material microstructures. In Section 11.1, we begin with the general aspects of PFM demonstrated by two simple applications of the method not related to dislocations. Section 11.2 describes the elements required to adapt PFM to dislocation simulations. There we will briefly venture into the field of micromechanics and consider the concept of eigenstrain. The elastic energy of an arbitrary eigenstrain field is derived in Section 11.3. Section 11.4 discusses an example in which the PFM equations for dislocations are solved using the fast Fourier transform method.
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Hosseinzadeh, Saeed, and Kristjan Tabri. "Numerical Investigation of Hydroelastic Response of a Three-Dimensional Deformable Hydrofoil." In Progress in Marine Science and Technology. IOS Press, 2020. http://dx.doi.org/10.3233/pmst200029.

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The present study is concerned with the numerical simulation of Fluid-Structure Interaction (FSI) on a deformable three-dimensional hydrofoil in a turbulent flow. The aim of this work is to develop a strongly coupled two-way fluid-structure interaction methodology with a sufficiently high spatial accuracy to examine the effect of turbulent and cavitating flow on the hydroelastic response of a flexible hydrofoil. A 3-D cantilevered hydrofoil with two degrees-of-freedom is considered to simulate the plunging and pitching motion at the foil tip due to bending and twisting deformation. The defined problem is numerically investigated by coupled Finite Volume Method (FVM) and Finite Element Method (FEM) under a two-way coupling method. In order to find a better understanding of the dynamic FSI response and stability of flexible lifting bodies, the fluid flow is modeled in the different turbulence models and cavitation conditions. The flow-induced deformation and elastic response of both rigid and flexible hydrofoils at various angles of attack are studied. The effect of three-dimension body, pressure coefficient at different locations of the hydrofoil, leading-edge and trailing-edge deformation are presented and the results show that because of elastic deformation, the angle of attack increases and it lead to higher lift and drag coefficients. In addition, the deformations are generally limited by stall condition and because of unsteady vortex shedding, the post-stall condition should be considered in FSI simulation of deformable hydrofoil. To evaluate the accuracy of the numerical model, the present results are compared and validated against published experimental data and showed good agreement.
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Kobayashi, Shiro, Soo-Ik Oh, and Taylan Altan. "The Finite-Element Method—Part II." In Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0010.

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Numerical integration is an important part of the finite-element technique. As seen in Section 6.5 of Chap. 6, volume integrations as well as surface integrations should be carried out in order to represent the elemental stiffness equations in a simple matrix form. In deriving the variational principle, it is implicitly assumed that these integrations are exact. However, exact integrations of the terms included in the element matrices are not always possible. In the finite-element method, further approximations are made in the procedure for integration, which is summarized in this section. Numerical integration requires, in general, that the integrand be evaluated at a finite number of points, called Integration points, within the integration limits. The number of integration points can be reduced, while achieving the same degree of accuracy, by determining the locations of integration points selectively. In evaluating integration in the stiffness matrices, it is necessary to use an integration formula that requires the least number of integrand evaluations. Since the Gaussian quadrature is known to require the minimum number of integration points, we use the Gaussian quadrature formula almost exclusively to carry out the numerical integrations.
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Mamaghani, Iraj H. P. "Application of Discrete Finite Element Method for Analysis of Unreinforced Masonry Structures." In Computational Modeling of Masonry Structures Using the Discrete Element Method. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-5225-0231-9.ch017.

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In this chapter, through some illustrative examples, the applicability of the Discrete Finite Element Method (DFEM) to analysis of unreinforced masonry structures such as rock pillars, open rock slopes, underground openings, tunnels, fault propagations, and fault-structure interactions is examined and discussed. In the numerical study, the behavior of contacts and blocks is assumed to be elasto-plastic or elastic. The Mohr-Coulomb yield criterion, representing material behavior of contacts, is implemented in the developed codes for DFEM used in the analysis. The secant stiffness method with the updated Lagrangian scheme is employed to deal with non-linear behavior. The constant strain triangular element with two degrees of freedoms at each node, formed by properly joining the corners and contact nodes of an individual block, is adopted for finite element meshing of the blocks. The DFEM provides an efficient and promising tool for designing, analyzing, and studying the behavior of unreinforced masonry structures.
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Kobayashi, Shiro, Soo-Ik Oh, and Taylan Altan. "Sheet-Metal Forming." In Metal Forming and the Finite-Element Method. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195044027.003.0014.

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The stress-state is said to be plane when the direction normal to the plane is a principal stress direction and the magnitude of the stress in this direction is zero. This situation occurs when a sheet is loaded along its edges in the plane of the sheet. In-plane deformation of sheet metal, such as bore expanding and flange-drawing, is an example of plane-stress problems. For out-of-plane deformation of sheet metals, such as punch stretching, sheet bending, and cup drawing, a simple analytical method is the use of membrane theory. This theory neglects stress variations in the thickness direction of a sheet and considers the distribution of stress components only in the plane of the sheet. Thus, the basic formulations for the analysis of both in-plane and out-of-plane deformations contain only the stress components acting in the plane of the sheet. However, the analysis of out-of-plane deformation requires consideration of large deformation, while the infinitesimal theory is applicable for in-plane deformation analysis. Many materials employed in engineering applications possess mechanical properties that are direction-dependent. This property, termed anisotropy, stems from the metallurgical structure of the material, which depends on the nature of alloying elements and the conditions of mechanical and thermal treatments. Metal sheets are usually cold-rolled and possess different properties in the rolled and transverse directions. Therefore, in sheet-metal forming in particular, the effect of anisotropy on the deformation characteristics may be quite appreciable and important. In the past the calculation of the detailed mechanics of large plastic deformation of metal sheets has been achieved with some success by numerical methods. However, without exception, these studies have dealt with deformations that possess a high degree of symmetry, and were concerned with the anisotropy existing only in the direction of sheet thickness (normal anisotropy). Methods that are capable of solving nonaxisymmetric problems in forming of anisotropic sheet metal are still being sought. The finite-element method is one of those methods. It was applied to the elastic-plastic analysis of nonaxisymmetric configurations of sheet stretching with normal anisotropy by Mehta and Kobayashi.
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Conference papers on the topic "Degree of freedom. Finite element method"

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Papadopoulos, Michael, and Ephrahim Garcia. "Finite Element Error Localization Using the Error Matrix Method." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4169.

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Abstract A higher order version of the Error Matrix Method is proposed to increase the accuracy in the finite element error localization. The method retains a user specified number of terms from the appropriate binomial expansion. Jacobi’s iterative method is then proposed to solve the set of nonlinear equations. It is hypothesized that keeping the higher order terms will improve the error identification for the same number of coordinate degrees-of-freedom and modes. The method is implemented on a nine degree-of-freedom and an Euler-Bernoulli beam numerical examples. It is shown that while the
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Kuo, Y. L., and W. L. Cleghorn. "Accuracy Enhancement of Flexible Fourbar Mechanisms via the Curvature-Based Finite Element Method." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49497.

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The paper investigates accuracy enhancement of flexible four-bar mechanisms via the curvature-based finite element method. Conventionally, the displacement-based method is usually applied to solid mechanics, and it needs more elements or high-degree polynomials to obtain highly accurate solutions. The curvature-based method assumes a polynomial to approximate a curvature distribution, and the expressions are investigated to obtain the displacement and rotation distributions. During the process, the boundary conditions associated with displacement, rotation, and curvature are imposed, which lea
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Mahna, Vinod K., and Nanik T. Asnani. "Computational Techniques for Finite Element Method Based Kineto-Elastodynamic Analysis of Mechanisms." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0245.

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Abstract The aim of computational techniques employed for the kineto-elastodynamic analysis of mechanisms is to evaluate the strain induced at any prescribed location in an elastic constituent link of the mechanism. The problem to be grappled is one of multi-degree-of-freedom coupled differential equation and is amenable to its solution by the modal analysis and numerical integration techniques. This formidable problem calls for imposition of boundary conditions and inter-link compatibility requirements, assembly of elemental matrices, incorporation of geometric stiffness matrix, evaluation of
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Eshraghi, Iman, and Aghil Yousefi-Koma. "Static Analysis of a Functionally Graded Piezoelectric Beam Using Finite Element Method." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24709.

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In this study static analysis of functionally graded piezoelectric material (FGPM) beams is performed using finite element modeling. First order shear deformation beam theory (Timoshenko beam theory) with the assumption of linear strain-displacement relations is used for modeling of displacement and strain fields in the beam. Theoretical formulations are derived employing Hamilton’s principle using linear constitutive relations of piezoelectric materials and including the effect of transverse shear deformation. Finite element method with one dimensional linear continuum isoparametric element,
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Kuo, Y. L., and W. L. Cleghorn. "Curvature-Based Finite Element Method for Euler-Bernoulli Beams." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34213.

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This paper presents a new method called the curvature-based finite element method to solve Euler-Bernoulli beam problems. An approximated curvature distribution is selected first, and then the approximated transverse displacement is determined by double integrations. Four numerical examples demonstrate the validity of the method, and the results show that the errors are smaller than those generated by a conventional method, the displacement-based finite element method, for comparison based on the same number of degrees of freedom.
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Liu, G. R. "On Smoothed Finite Element Methods." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-62239.

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The paper presents an overview of the smoothed finite element methods (S-FEM) which are formulated by combining the existing standard FEM with the strain smoothing techniques used in the meshfree methods. The S-FEM family includes five models: CS-FEM, NS-FEM, ES-FEM, FS-FEM and α-FEM (a combination of NS-FEM and FEM). It was originally formulated for problems of linear elastic solid mechanics and found to have five major properties: (1) S-FEM models are always “softer” than the standard FEM, offering possibilities to overcome the so-called overly-stiff phenomenon encountered in the standard th
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Cox, Jordan J., Jeffrey A. Talbert, and Eric Mulkay. "A Parallel Solution Strategy for Finite Element Models." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/dfm-1283.

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Abstract This paper presents a method for naturally decomposing finite element models into sub-models which can be solved in a parallel fashion. The unique contribution of this paper is that the decomposition strategy comes from the geometric features used to construct the solid model that the finite element model represents. Domain composition and domain decomposition methods are used to insure global compatibility. These techniques reduce the N2 behavior of traditional matrix solving techniques, where N is the number of degrees of freedom in the global set of matrix equations, to a sum of m
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Fu, W. N., and Yanpu Zhao. "An adaptive dual-order finite-element method by adjusting degrees-of-freedom in transient field analysis." In 2016 Progress in Electromagnetic Research Symposium (PIERS). IEEE, 2016. http://dx.doi.org/10.1109/piers.2016.7734325.

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Geremias Toni, Fernando, and Clóvis de Arruda Martins. "Parallelized Element-by-Element Architecture for Structural Analysis of Flexible Pipes Using Macro Finite Elements." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61800.

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Flexible pipes are employed to transport oil and natural gas from the seabed to the floating units, and vice versa. These pipes are made of concentric layers of different geometries, materials and structural functions in order to withstand a series of static and dynamic loads from its adverse operating environment. The local analysis is an important stage in the design of a flexible pipe and consists in determining the stresses and strains distributions along its layers. Multipurpose finite element packages, such as ANSYS and ABAQUS, are commonly used in this task, but present many limitations
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Sepehry, Naserodin, Firooz Bakhtiari-Nejad, and Weidong Zhu. "Scaled Boundary Finite Element Method for Modeling of Impedance Based Structural Health Monitoring of 2D Structure." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85126.

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Impedance based structural health monitoring using piezoelectric material is a high frequency method for detection of tiny damage. For modeling of structure in high frequency using conventional finite element method very fine mesh is needed. For large structure, this leads to very large mass and stiffness matrices. So very high RAM is needed to save these matrices and simulation time would be very low. In this paper a method combined finite element method and boundary element method named scaled boundary finite element method is studied for health and cracked 2D structure. Impedance of healthy
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Reports on the topic "Degree of freedom. Finite element method"

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Newberry, Charles Michael. Finite Element Simulation and Assessment of Single-Degree-of-Freedom Prediction Methodology for Insulated Concrete Sandwich Panels Subjected to Blast Loads. Precast/Prestressed Concrete Institute, 2011. http://dx.doi.org/10.15554/pci.rr.misc-003.

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