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Journal articles on the topic 'Dynamic form analysis'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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1

Kubomura, K. "Transient Loads Analysis by Dynamic Condensation." Journal of Applied Mechanics 52, no. 3 (1985): 559–64. http://dx.doi.org/10.1115/1.3169101.

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This paper investigates an alternative finite-difference time-integration procedure in structural dynamics. The integral form of the equation of motion, instead of the differential form, is used to develop the finite-difference time-integration method. An expression called dynamic condensation is presented to relate the dynamic response and unknown force at a limited number of degrees of freedom. A stable and accurate method of analysis is derived to determine the transient loads of structural components in a structural system without constructing the system equation of motion.

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2

Ma, Huili, and Hui Feng. "DYNAMIC ANALYSIS FOR BERTRAND COMPETITION MODEL WITH EXPONENTIAL FORM∗." Mathematical Modelling and Analysis 21, no. 6 (2016): 741–51. http://dx.doi.org/10.3846/13926292.2016.1237388.

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This paper will consider a nonliear system of difference equations which describes a qualitative study of Bertrand oligopoly games with two boundedly rational players. With nonlinear demand function of exponential form, the local stability of equilibria and the global convergence of positive solutions for the dynamical system are analyzed.

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3

Gim, Bongjin, and Guy L. Curry. "Approximating closed form solutions to converging branch dynamic programming problems." Journal of Mathematical Analysis and Applications 122, no. 1 (1987): 58–69. http://dx.doi.org/10.1016/0022-247x(87)90344-1.

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4

Min, Yan, and Pang Kun. "Dynamic Analysis of Head-Form Test on Actual Automotive Windscreen." Key Engineering Materials 768 (April 2018): 251–55. http://dx.doi.org/10.4028/www.scientific.net/kem.768.251.

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The head-form test on actual automotive windscreen with the analytic method of explicit dynamics is researched in this paper. Based on the experiment specification, the geometric models of head-form weight and laminated glass for actual automotive windscreen are built, and the loading conditions of the head-form test are also acquired. According to the analysis results, the process of crack initiation & propagation and the failure mechanism in laminated glass are studied, which is of great significance for the evaluation on laminated glass for actual automotive windscreen.

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5

Barnes, Michael R. "Form Finding and Analysis of Tension Structures by Dynamic Relaxation." International Journal of Space Structures 14, no. 2 (1999): 89–104. http://dx.doi.org/10.1260/0266351991494722.

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6

Thurman, S., and H. Lu. "Integration of orientation and spatial cues in dynamic form analysis." Journal of Vision 13, no. 9 (2013): 114. http://dx.doi.org/10.1167/13.9.114.

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7

Streeter, M., L. Rhode-Barbarigos, and S. Adriaenssens. "Form finding and analysis of inflatable dams using dynamic relaxation." Applied Mathematics and Computation 267 (September 2015): 742–49. http://dx.doi.org/10.1016/j.amc.2014.12.054.

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8

Li, Zhen Xia, and Yuan Zhao Chen. "Dynamic Analysis of Bridge-Approach Embankment Transition Segment." Applied Mechanics and Materials 238 (November 2012): 719–22. http://dx.doi.org/10.4028/www.scientific.net/amm.238.719.

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Dynamic responses of coupled system were analyzed when the speed of train was 350km/h and the transition was filled with graded broken stones mixed 5% cement. Results indicate that setting form of bridge-approach embankment section has little effect on dynamic responses, thus designers can choose it on account of practical circumstances. Based on the study from vehicle-track dynamics, we suggest that the coefficient of subgrade reaction (K30) should be greater than 190MPa within 0-5m zone behind abutment and be greater than 150MPa in other zones.

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9

Huang, Qilin, Yong Wang, Zhipu Huo, and Yudong Xie. "Nonlinear Dynamic Analysis and Optimization of Closed-Form Planetary Gear System." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/149046.

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A nonlinear purely rotational dynamic model of a multistage closed-form planetary gear set formed by two simple planetary stages is proposed in this study. The model includes time-varying mesh stiffness, excitation fluctuation and gear backlash nonlinearities. The nonlinear differential equations of motion are solved numerically using variable step-size Runge-Kutta. In order to obtain function expression of optimization objective, the nonlinear differential equations of motion are solved analytically using harmonic balance method (HBM). Based on the analytical solution of dynamic equations, the optimization mathematical model which aims at minimizing the vibration displacement of the low-speed carrier and the total mass of the gear transmission system is established. The optimization toolbox in MATLAB program is adopted to obtain the optimal solution. A case is studied to demonstrate the effectiveness of the dynamic model and the optimization method. The results show that the dynamic properties of the closed-form planetary gear transmission system have been improved and the total mass of the gear set has been decreased significantly.

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10

Li, Jing, Ziyu Guo, Yinzhu Quan, and Jian Li. "Nonlinear dynamic analysis and hypernormal form of truss core sandwich plates." Journal of Applied Biomaterials & Functional Materials 16, no. 1_suppl (2018): 37–45. http://dx.doi.org/10.1177/2280800018757336.

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Introduction: Truss core material, which is a new type of ultra-light material with comprehensive properties, is used in the aerospace industry. The aim of this paper is to investigate the dynamic behavior of three-dimensional Kagome sandwich plates with truss core under transverse and in-plane excitation in the case of 1:1 internal resonance. Methods: Firstly, the averaged equation is obtained by means of the method of multiple scales. Then, the nonlinear system is analyzed applying the theory of normal form. Eventually, we analyze the dynamic behavior, mainly periodic motions, for the truss core sandwich panels by using numerical simulation. Results: Numerical results are presented here for the nonlinear dynamic behavior of the model of truss core sandwich plates, which provides theoretical guidance to vibration control. Conclusions: Considerable insight has been gained concerning the sign of parameter of the model controlled by material property.

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11

Trąbka, Arkadiusz, Ludwik Majewski, and Jacek Kłosiński. "Dynamic Analysis of Vibrating Device." Solid State Phenomena 164 (June 2010): 327–32. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.327.

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Dynamics of two models (simplified and complex) of a small, typical vibrating table is considered in the paper. The table consists of vibrating plate and electrical vibrator, mounted in the central position of the plate, which excites the vibrations of the table. The coefficient of transversal stiffness of the spring has been determined on the basis of numerical simulation. The spring is an essential element of the system. The results of performed numerical simulations are presented in the graphical form.

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12

Rat, Nadia Ramona, Mircea Neagoe, and Sergiu Dan Stan. "Comparative Dynamic Analysis of Two Parallel Robots." Solid State Phenomena 166-167 (September 2010): 345–56. http://dx.doi.org/10.4028/www.scientific.net/ssp.166-167.345.

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The paper presents a comparative dynamic modeling and VR (virtual reality) simulation for two 3 DOF medical parallel robots: a three coupled motions structure (Orthoglide robot) versus two coupled motion parallel structure (robot of type 1PRRR+2PRPaR). Kinematical and dynamical models, followed by a VR application with control aspects are presented for these two parallel robots. The innovative user interface for high-level control of the two parallel robots, presented in the paper, was developed in MATLAB - Simulink and SimMechanics environment, while the closed form dynamic models were obtained in MAPLE program. This kind of parallel robots can be successfully applied for medical applications where accuracy and high dynamic behavior are required. This research will lay a good foundation for the development of medical parallel robots.

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13

Meghdari, A., R. Karimi, H. N. Pishkenari, A. L. Gaskarimahalle, and S. H. Mahboobi. "An effective approach for dynamic analysis of rovers." Robotica 23, no. 6 (2005): 771–80. http://dx.doi.org/10.1017/s0263574705001712.

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In this paper a novel approach to dynamic formulation of rovers has been presented. The complexity of these multi-body systems especially on rough terrain, challenged us to use the Kane's method which has been preferred to others in these cases. As an example, symbolic equations of a six-wheeled rover, named CEDRA Rescue Robot which uses a shrimp like mechanism, have been derived and a simulation of forward and inverse dynamics has been presented. Due to the clear form of equations, each term defines a physical meaning which represents the effect of each parameter, resulting in a frame-work for performance comparison of rovers. Although the method has been described for a 2-D non-slipping case, it is also very useful for dimensional and dynamical optimization, high speed motion analysis, and checking various control algorithms. Furthermore, it can be extended to 3-D cases and other complicated mechanisms and rovers while conserving its inherent benefits and adding to the ease of handling nonholonomic constraints.

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14

Feng, Jin Zhi, Le Liu, Song Lin Zheng, Da Wei Gao, and Tao Sun. "Dynamic Simulation and Analysis of a Dual-Link Suspension." Advanced Materials Research 605-607 (December 2012): 1230–35. http://dx.doi.org/10.4028/www.scientific.net/amr.605-607.1230.

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Based on the multi-body dynamics theory, a rigid-flexible coupling dual-link suspension model is established. Belgium road motivate inputs gathered from a proving ground are imposed on both wheels through a suspension-test rig and then a simulation is carried out. Next, the model is verified and refined by the available field test results of rear axle vertical acceleration. At last, based on the validated suspension dynamic model, a comprehensive dynamic load simulation is performed and different kinds of load form of suspension components are analyzed. This research could provide reference for measure point selection of load spectrum acquisition.

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15

Hou, Yulei, Guoxing Zhang, and Daxing Zeng. "An efficient method for the dynamic modeling and analysis of Stewart parallel manipulator based on the screw theory." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 3 (2019): 808–21. http://dx.doi.org/10.1177/0954406219885963.

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Dynamic modeling serves as the fundamental basis for dynamic performance analysis and is an essential aspect of the control scheme design of parallel manipulators. This report presents a concise and efficient solution to the dynamics of Stewart parallel manipulators based on the screw theory. The initial pose of these manipulators is described. Then the pose matrix of each link of the Stewart parallel mechanism is obtained using an inverse kinematics solution and an exponential product formula. Considering the constraint relationship between joints, the constraint matrix of the Stewart parallel manipulator is deduced. In addition, the Jacobian matrix and the twist of each link are obtained. Moreover, by deriving the differential form of the constraint matrix, the spatial acceleration of each link is obtained. Based on the force balance relationship of each link, the inverse dynamics and the general form of the dynamic model of the Stewart parallel manipulator is established and the process of inverse dynamics is summarized. The dynamic model is then verified via dynamic simulation using the ADAMS software. A numerical example is considered to demonstrate the feasibility and effectiveness of this model. The proposed dynamic modeling approach serves as a fundamental basis for structural optimization and control scheme design of the Stewart parallel manipulators.

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16

Guo, H. B., and H. R. Li. "Dynamic analysis and simulation of a six degree of freedom Stewart platform manipulator." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 1 (2006): 61–72. http://dx.doi.org/10.1243/095440605x32075.

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This article presents the explicit compact closed-form dynamic equations in the task-space by applying the combination of the Newton—Euler method with the Lagrange formulation including the dynamics of the legs for the Stewart platform manipulator. The kinematics analysis of the manipulator is given and the velocity and the acceleration formulae needed to derive the dynamic equations are also derived. The driving forces acting on the legs are determined according to the dynamic formulation. The formulation has been implemented in routines and has been used for studying a few inverse dynamic problems of a specific Stewart platform manipulator. Simulation results reveal the effect of the leg inertia and that of its parts, respectively, on the dynamics of the complete system, and numerical examples show the effectiveness of the proposed method and the dynamic equations of the Stewart platform manipulator.

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17

Gao, Bo, Yu Dong, and De Ming Liu. "An Analysis on Parametric Design of Sports Building Structural Form." Advanced Materials Research 721 (July 2013): 636–39. http://dx.doi.org/10.4028/www.scientific.net/amr.721.636.

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With computer technology contentiously improving, parametric design has been playing much more important role in architectural design. Parametric Design, as a design method and a tool arisen with information age, is the most recent trend in architecture. Parametric design tool improvements and wide application options has undoubtedly motivated building structural design and brought up more complex architectural works, especially on nonlinear structures. Sports buildings, due to their special functions, it calls for structures that provide large span. Therefore, there are many technical requirements in the design of sports buildings. Traditionally, sports building form is limited by structural calculation. With improved computer technology, especially parametric design tools, sports building forms become more diversified, complex and nonlinear. Parametric design helps with the dynamic interaction between architects and heir work, consequently achieves quick design and dynamic adjustments of complex structures, simplifies the design process, and finally provides more efficient and direct design method for sports building design.

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18

Choi, Ho-Meoyng, and Chueng-Ryong Ji. "Light-front dynamic analysis of transition form factors in the process of." Nuclear Physics A 856, no. 1 (2011): 95–111. http://dx.doi.org/10.1016/j.nuclphysa.2011.03.001.

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19

Duan, Y. F., S. M. Wang, R. Z. Wang, C. Y. Wang, J. Y. Shih, and C. B. Yun. "Vector Form Intrinsic Finite-Element Analysis for Train and Bridge Dynamic Interaction." Journal of Bridge Engineering 23, no. 1 (2018): 04017126. http://dx.doi.org/10.1061/(asce)be.1943-5592.0001171.

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20

Klaas Coulembier. "Static Structure, Dynamic Form: An Analysis of Elliott Carter's Concerto for Orchestra." Perspectives of New Music 54, no. 1 (2016): 97. http://dx.doi.org/10.7757/persnewmusi.54.1.0097.

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21

Klaas Coulembier. "Static Structure, Dynamic Form: An Analysis of Elliott Carter's Concerto for Orchestra." Perspectives of New Music 54, no. 1 (2016): 97–136. http://dx.doi.org/10.1353/pnm.2016.0010.

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22

Wei, Zhen Hai, Meng Shu Wang, and Ding Li Zhang. "Markov Model for Dynamic Analysis of Rock-Soil Structure." Applied Mechanics and Materials 170-173 (May 2012): 777–84. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.777.

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Dynamic analysis of structure of rock-soil material is a difficulty in structure analysis of rock-soil material. Dynamic analysis referred here is equivalent to plasticity analysis in classical elasticity/plasticity theory. But, for the structure of rock-soil material, the granules form a structure in the form of network, which makes dynamic analysis especially complex. We attempt to simplify granular form in this study, and construct a Markov model of structural evolution of system according to finite connection modalities between granules. Connection modality distributions for each structural state are obtained using recursion technique. Next, depending on connection modality distribution, we obtain the mechanical and geometric parameters of the system, thus stiffness-strength-displacement relation can be established. This relation serves as the basis for building dynamic constitutive relationship for rock-soil material. Literature on relevant subjects has been rarely found so far, and our discussion is only a tentative exploration.

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23

Wang, Ying, Hai Xia Liu, and San Min Wang. "Dynamic Analysis of Combined Gear Drive." Applied Mechanics and Materials 86 (August 2011): 256–59. http://dx.doi.org/10.4028/www.scientific.net/amm.86.256.

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Combined gear drive is a common transmission form for high power drive systems. In order to study its behaviors of redundant drive, which improve the system reliability but lead to a problem of inter-excitation of vibrations, dynamic analysis becomes very necessary. First, considering the influences of gear meshing errors, backlashes and time-varying meshing stiffness, a nonlinear dynamic model of sixteen degrees of freedom is developed by using lumped parameter method. Then a nonlinear differential equation set is derived for calculating the steady-state forced response to the internal sinusoidal excitation. After that, time history wave of displacement responses, phase graphs, Poincaré maps and FFT (Fast Fourier Transform) spectra are analyzed. Finally, some useful conclusions are obtained.

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24

Chang, Bo Yan, Guo Guang Jin, Jian Sheng Dai, and Jin Tian Yun. "The Dynamics Analysis of Metamorphic Mechanisms Based on Fully Cartesian Coordinates Method." Advanced Materials Research 139-141 (October 2010): 2391–96. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.2391.

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Because of special structure and dynamic behavior, the dynamic equations of metamorphic mechanism are variable during the process of configuration change. In order to combine dynamics analysis and structure design of metamorphic mechanisms intimately, a new method of forming dynamic model of metamorphic mechanisms is proposed based on fully Cartesian coordinate’s method and the relation between origin mechanism and sub-configuration. A new concept named origin constraint equation is introduced which can be converted into constraint equations of each sub-configuration easily by adding corresponding constraint equations of configuration change. Constraint equations commonly used in configuration change and dynamic equations of each configuration are given in the form of natural coordinates. Finally, a four-bar spherical metamorphic mechanism is used as an example to validate this dynamic modeling method.

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25

Wang, Ren Zuo, Shi Kai Chen, Chung Yue Wang, and Bin Chin Lin. "Analysis of Elastic Beam Subjected to Moving Dynamic Loads." Advanced Materials Research 250-253 (May 2011): 1187–91. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.1187.

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The main object of this paper is to apply the vector form intrinsic finite element (VFIFE, or V-5) techniques in nonlinear large deformation dynamic analysis for the responses of moving loads on rigid frame structures. In this study, the simulation of moving loading is brought into the vector form intrinsic finite element method. It can effectively simulate the moving load. Comparing the results of the numerical simulations by VFIFE with the results obtained from other literatures, they are very close. It proved that VFIFE can effectively simulate the nonlinear large deformation dynamic problem.

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26

Kudryavtsev, Yevgeniy M. "A Driving-Gear Dynamic Analysis." Materials Science Forum 931 (September 2018): 422–27. http://dx.doi.org/10.4028/www.scientific.net/msf.931.422.

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A new approach of mechanical driving-gear dynamic analysis, which includes several modelling stages is observed in the article. On the first stage driving-gear is represented in the form of consistently connected rotation bodies. The driving-gear is represented in a graphic kind by means of the marked graph. On the second stage mathematical model of driving-gear performance with using of mnemonic rule is created. Mathematical model of mechanical driving-gear is a system of second-order regular differential equations (RDEs). The system of second-order regular differential equations is transformed into a system of first-order regular differential equations. There is a standard method for writing a higher-order RDE as a system of the first-order RDEs. On the third stage computer model of driving-gear performance using system Mathcad is created and initial data is defined. On the fourth stage the mechanical driving-gear modelling is performed and calculation data in numerical and graphical forms is obtained. This approach provides high level of the driving-gear dynamic analysis, including the received results presentation, which is especially important on the earliest stages of mechanical driving-gear design. The proposed procedure of mechanical driving-gear dynamic analysis using Mathcad software significantly decreases time and working costs on execution of such computations and helps to execute investigations related with changing of driving-gear elements parameters efficiently.

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27

Xu, S., and S. D. Yu. "FINITE ELEMENT ANALYSIS OF DYNAMIC CONTACT PROBLEMS." Transactions of the Canadian Society for Mechanical Engineering 22, no. 4B (1998): 533–47. http://dx.doi.org/10.1139/tcsme-1998-0031.

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This paper presents a finite element analysis of dynamic contact between two solids with and without surface friction. The finite element solutions obtained using the linear complementary equations of incremental form for kineo-elastic displacements and contact stresses satisfy both normal boundary conditions and contact boundary conditions. Three examples solving dynamic contact between two solids of different shapes are given. Numerical results indicate that there is excellent agreement between independent analytical solution and results obtained using CONTACT2D - a computer written in FORTRAN77 by the authors.

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28

Du, Kaibing, Yongjian Li, Shuangfu Suo, and Yuming Wang. "Semi-Analytical Dynamic Analysis of Noncontacting Finger Seals." International Journal of Structural Stability and Dynamics 15, no. 04 (2015): 1450060. http://dx.doi.org/10.1142/s0219455414500606.

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Noncontacting finger seals represent a new noncontacting and compliant seal in gas turbine sealing technology. The compliance and noncontacting nature make this kind of seals fully adaptive to rotor excursions in the radial direction without damaging the seal performance. A new semi-analytical method is developed for characterizing the linearized dynamic performance of noncontacting finger seals. The linearized dynamic characteristics of the gas film are numerically computed using the step jump method and then approximated analytically in the equations of motion using a Prony series. By combining the gas film analytical dynamic characterization with the constitutive model for the dynamic properties of noncontacting finger seals, the dynamic equation of motion for the system is derived in analytical form. The results are presented of the gas film properties, natural transient response to initial conditions, steady-state response to rotor excursion, transmissibility ratios and dynamic stability analysis using the analytical model. It is demonstrated that the steady-state responses from the closed-form solutions agree well with those by the numerical simulation, and the analytical solutions can be used as the benchmark for calibrating the results from numerical analysis.

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29

El-Borhamy, Mohamed, Essam Eddin M. Rashad, and Ismail Sobhy. "Floquet analysis of linear dynamic RLC circuits." Open Physics 18, no. 1 (2020): 264–77. http://dx.doi.org/10.1515/phys-2020-0136.

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AbstractIn this article, the linear dynamic analysis of AC generators modeled as RLC circuits with periodically time-varying inductances via Floquet’s theory is considered. Necessary conditions for the dynamic stability are derived. The harmonic balance method is employed to predict the transition curves and stability domains. An approximate expression for the Floquet form of solution is constructed using Whittaker’s method in the neighborhood of transition curves. Numerical verifications for the obtained theoretical results are considered. In accordance with the experimental results, a satisfactory agreement is relatively achieved with the closed experimental literature of the problem.

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30

Miller, Brad A., and Itzhak Green. "Semi-Analytical Dynamic Analysis of Spiral-Grooved Mechanical Gas Face Seals." Journal of Tribology 125, no. 2 (2003): 403–13. http://dx.doi.org/10.1115/1.1510876.

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A novel semi-analytical formulation is presented for the linearized dynamic analysis of spiral-grooved mechanical gas face seals. The linearized rotordynamic properties of the gas film are numerically computed and then represented analytically by a constitutive model consisting of a cosine modified Prony series. The cosine modification enables the Prony series to characterize the gas film properties of face seals in applications with large compressibility numbers. The gas film correspondence principle is then employed to couple the constitutive model to the dynamics of the mechanical face seal. Closed-form solutions are presented for the transient natural response to initial velocity conditions, the steady-state response to rotor runout and initial stator misalignment, the transmissibility ratios, and the stability threshold. Results from the closed-form solutions are all within a few percent of the results from a full nonlinear numerical simulation.

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31

Shen, J. "Spatial-Dynamic Population Systems: Analysis and Projection." Environment and Planning A: Economy and Space 26, no. 3 (1994): 471–88. http://dx.doi.org/10.1068/a260471.

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In this paper a set of more-detailed multiregional population accounts is proposed to specify more realistically the exposure time of populations at risk for various components of population change. The concepts of population-time at risk and forward demographic rates based on the initial population are discussed. The relations of the forward demographic rates defined in this paper with the occurrence-exposure demographic rates are discussed. A more precise and straightforward multiregional population model is developed on the basis of forward demographic rates. The model is also expressed in the familiar matrix form of multiregional, cohort-survival models.

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32

Meshcheryakov, V. A. "Dynamic Form of Static Dispersion Relations and Projective Spaces." International Journal of Modern Physics A 12, no. 01 (1997): 249–54. http://dx.doi.org/10.1142/s0217751x97000360.

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The S-matrix in the static limit of a dispersion relation has a finite order N and is a matrix of meromorfic functions of energy ω in the plane with cuts (-∞, -1],[+1, = ∞). In the elastic case it reduces to N functions Si(ω) conncted by the crossing symmetry matrix A. The problem of analytical continuation of Si(ω) from the physical sheet to unphysical ones can be treated as a nonlinear system of difference equations. It is shown that a global analysis of this system can be carried out effectively in projective spaces PN and PN+1. The connection between spasec PN and PN+1 is discussed.

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33

He, G. H., Z. H. Kuang, and X. K. Li. "Weak-form differential quadrature element method for dynamic analysis of fluid-saturated soil." IOP Conference Series: Materials Science and Engineering 657 (October 25, 2019): 012043. http://dx.doi.org/10.1088/1757-899x/657/1/012043.

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34

Michels, Lars, Markus Lappe, and Lucia Maria Vaina. "Visual areas involved in the perception of human movement from dynamic form analysis." NeuroReport 16, no. 10 (2005): 1037–41. http://dx.doi.org/10.1097/00001756-200507130-00002.

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35

Qin, Jian, Liang Qiao, Jiancheng Wan, Ming Jiang, and Yongjun Xia. "Dynamic analysis of suspension cable based on vector form intrinsic finite element method." IOP Conference Series: Materials Science and Engineering 248 (October 2017): 012025. http://dx.doi.org/10.1088/1757-899x/248/1/012025.

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36

Wu, Tung-Yueh. "Dynamic nonlinear analysis of shell structures using a vector form intrinsic finite element." Engineering Structures 56 (November 2013): 2028–40. http://dx.doi.org/10.1016/j.engstruct.2013.08.009.

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37

ALTMAN, EDWARD J. "BIFURCATION ANALYSIS OF CHUA'S CIRCUIT WITH APPLICATIONS FOR LOW-LEVEL VISUAL SENSING." Journal of Circuits, Systems and Computers 03, no. 01 (1993): 63–92. http://dx.doi.org/10.1142/s021812669300006x.

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Low level vision for feature detection, motion analysis, or image segmentation is typically performed in parallel and is computationally intensive. The dynamic nature of scenes and the requirements for real time processing place further demands upon visual sensing. Dynamical systems which mimic the complexity of natural scenes provide an alternative to traditional computer vision approaches. However the design of such systems and the synthesis of complex, nonlinear dynamical systems by the interactions of simpler, low order systems remains a critical problem. One approach to this problem is to use the relative simplicity of Chua's circuit to provide a convenient model for the dynamics and bifurcation phenomena in more complex systems. In this paper the normal form is derived for Chua's circuit in which the piecewise-linear function is replaced by a cubic nonlinearity. A partial bifurcation analysis of the normal form equations is then used to show how Chua's system can be made to track the motion of low level image features through parameter variations in the bifurcation function.

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38

Wang, Zhi Qiang, Li Xin Zhang, and Hai Bin Guo. "Catastrophe Theory Analysis on Asymmetric Mining Pillar Dynamic Failure." Applied Mechanics and Materials 71-78 (July 2011): 4662–67. http://dx.doi.org/10.4028/www.scientific.net/amm.71-78.4662.

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Based on the simplified analytic model of asymmetric mining rock beam-pillar system, the catastrophe model of dynamic failure of the rock beam-pillar system in asymmetric mining has been established by way of the differential form of total potential function deduced by law of conservation of energy. Analysis and illustration show it is consistent in discriminating the system stability by energy importing rate J—presenting the descending or increasing tendency. Outside or suroundings imports energy into rock beam-pillar system when J> 0; and the system exports energy to outside or surroundings when J<0.J=0 is the critical condition of system destabilization,which implicates Cook stiffness criterion and is a dynamic generalization of Cook criterion in the form of energy.

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Wang, Chun Tao, and You Ping Wu. "Modal Analysis on the Coupled Fluid-Structure Interaction of High Arch Dam." Advanced Materials Research 919-921 (April 2014): 1234–39. http://dx.doi.org/10.4028/www.scientific.net/amr.919-921.1234.

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The dynamic analysis of arch dam need to take complex coupling action of dam-foundation-water into account, so the dam is always simplified in former research. The disadvantage of simplification is that it cannot be determined how much influence on natural frequency and dynamic response can be caused. In view of this, Xiaowan high arch dam finite element model is set up, the result shows : whether the reservior is empty or full, the natural vibration frequency of the actual body form has little change compare with the simplified body form. Therefore, it is feasible to apply the simplified body form to substitute the actual body form for the rough calculation of the frequency of dam body. However, the simplified body form is impossible to present the dynamic response and stress concentration of accessory structures. For this reason, it should apply the actual body form for calculation.

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Taheri, Moein. "Nonlinear dynamic modeling and optimal motion analysis of two-link manipulators." IAES International Journal of Robotics and Automation (IJRA) 5, no. 1 (2016): 61. http://dx.doi.org/10.11591/ijra.v5i1.pp61-66.

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<p>Manipulators are used in various industrial applications to perform variant operations such as conveying payloads. Regarding to their applications, dynamic modeling and motion analysis of manipulators are known as important and appealing tasks. In this work, nonlinear dynamics and optimal motion analysis of two-link manipulators are investigated. To dynamic modeling of the system, the Lagrange principle is employed and nonlinear dynamic equations of the manipulator are presented in state-space form. Then, optimal motion analysis of the nonlinear system is developed based on optimal control theory. By means of optimal control theory, indirect solution of problem results in a two-point boundary value problem which can be solved numerically. Finally, in order to demonstrate the power and efficiency of method, a number of simulations are performed for a two-link manipulator which show applicability of proposed method.</p>

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Cheng, S. P., and N. C. Perkins. "Closed-Form Vibration Analysis of Sagged Cable/Mass Suspensions." Journal of Applied Mechanics 59, no. 4 (1992): 923–28. http://dx.doi.org/10.1115/1.2894062.

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A theoretical model is presented which describes the three-dimensional nonlinear motion of a sagged cable that supports an array of discrete masses. An asymptotic form of this general model is derived for the linear response of a cable/mass suspension having small equilibrium curvature and horizontal supports. While the asymptotic model remains rich enough to capture dominant sagged cable effects, it is simple enough to permit closed-form analysis. A free vibration analysis is pursued that leads to closed-form solutions for problems which, heretofore, were analyzed using purely numerical methods. Among the advantages of the present method is its ability to pro vide results for: (1) complex mass arrays, (2) high-order modes, and (3) dynamic cable tension. Examples highlight the key role played by mass array symmetry and lead to new conclusions regarding free vibration.

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Sadiku, Salawu, and H. H. E. Leipholz. "Dynamic Analysis of an Elevated Water Tower Subjected to Wind Gust." Transactions of the Canadian Society for Mechanical Engineering 10, no. 1 (1986): 47–51. http://dx.doi.org/10.1139/tcsme-1986-0007.

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The analysis of a column carrying a concentrated mass and subjected to a dynamic load is presented in its general form. The water tower is given as a specific example. Despite the singularity in the mass distribution function of the system, a closed form solution to the response problem is obtained. The Green function for the differential problem has been developed thus making the analysis applicable to any dynamic load.

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Yang, Jian Xin, Zhen Tao Liu, and Jian Wei Sun. "Dynamic Modeling of Overconstrained Parallel Robot." Applied Mechanics and Materials 373-375 (August 2013): 34–37. http://dx.doi.org/10.4028/www.scientific.net/amm.373-375.34.

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The dynamic modeling method for parallel robot based on the principle of virtual work and equivalent tree structure is proposed by taking off the platform and the chains as well as degenerating parallel robot into a tree structure, the closed-form solutions for the inverse and forward dynamics models of parallel robot are derived. The method is applied on kinematics and dynamics analysis of a representative 3-RRR spherical parallel robot.

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Chen, Hua, Wen Chen, Chaoli Wang, Dongkai Zhang, and Binwu Zhang. "Finite-Time Stabilization of Dynamic Nonholonomic Wheeled Mobile Robots with Parameter Uncertainties." Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/595849.

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The finite-time stabilization problem of dynamic nonholonomic wheeled mobile robots with parameter uncertainties is considered for the first time. By the equivalent coordinate transformation of states, an uncertain 5-order chained form system can be obtained, based on which a discontinuous switching controller is proposed such that all the states of the robots can be stabilized to the origin equilibrium point within any given settling time. The systematic strategy combines the theory of finite-time stability with a new switching control design method. Finally, the simulation result illustrates the effectiveness of the proposed controller.

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Li, Feng Lei, Wei Xia, Zhao Yao Zhou, Jing Zhao, and Zheng Qiang Tang. "Dynamic Analysis of Ball Vibration Assisted Burnishing." Advanced Materials Research 139-141 (October 2010): 925–28. http://dx.doi.org/10.4028/www.scientific.net/amr.139-141.925.

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Vibration Assisted Burnishing (VAB) is an advanced burnishing form incorporating dynamic force resulting from vibration into burnishing not only to change the loading type and contact method to greatly reduce friction and wear, but also to produce an excellent nanocrystalline surface by severe plastic deformation induced by high speed impact. The expression describing the relation between decrease of surface roughness and ball burnishing force is given. The dynamic model of ball VAB is established. The relations between VAB depth, VAB force and VAB time and their maximum values are derived, and the required maximum power of the vibration generator is then obtained. The theoretical equivalent burnishing force of ball VAB is only about 47.55% that of conventional burnishing, which prove validity of ball VAB.

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Bascetta, Luca, Gianni Ferretti, and Bruno Scaglioni. "Closed form Newton–Euler dynamic model of flexible manipulators." Robotica 35, no. 5 (2015): 1006–30. http://dx.doi.org/10.1017/s0263574715000934.

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SUMMARYIn this paper, a closed-form dynamic model of flexible manipulators is developed, based on the Newton–Euler formulation of motion equations of flexible links and on the adoption of the spatial vector notation. The proposed model accounts for two main innovations with respect to the state of the art: it is obtained in closed form with respect to the joints and modal coordinates (including the quadratic velocity terms) and motion equations of the whole manipulator can be computed for any arbitrary shape of the links and any possible link cardinality starting from the output of several commercial (finite element analysis) FEA codes. The Newton–Euler formulation of motion equations in terms of the joint and elastic variables greatly improves the simulation performances and makes the model suitable for real-time control and active vibration damping. The model has been compared with literature benchmarks obtained by the classical multibody approach and further validated by comparison with experiments collected on an experimental manipulator.

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Shimamoto, Shigeru, Tadayasu Ohkubo, Kosuke Aritake, Yoshihiro Urade, and Yuji Hidaka. "Structural and Dynamic Analysis of Lipocalin Type Prostaglandin D Synthase in its APO form and Substrate Analog Complex Form." Biophysical Journal 106, no. 2 (2014): 48a. http://dx.doi.org/10.1016/j.bpj.2013.11.344.

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Wolfe, L., RM Stess, and PM Graf. "Dynamic pressure analysis of the diabetic charcot foot." Journal of the American Podiatric Medical Association 81, no. 6 (1991): 281–87. http://dx.doi.org/10.7547/87507315-81-6-281.

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Charcot foot is a form of neuropathic osteoarthropathy, occurring in one or more joints of the foot and ankle. It is a destructive process that alters the weightbearing areas of the foot and, in many cases, results in a rocker-bottom deformity. The authors present quantitative results of dynamic pressure analysis of Charcot foot with the EMED SF pressure analysis system and propose ways in which this information may be used in the evaluation and treatment of this deformity.

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Gupta, P. D., N. C. Majee, and A. B. Roy. "Stability and Hopf-Bifurcation Analysis of Delayed BAM Neural Network under Dynamic Thresholds." Nonlinear Analysis: Modelling and Control 14, no. 4 (2009): 435–61. http://dx.doi.org/10.15388/na.2009.14.4.14466.

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In this paper the dynamics of a three neuron model with self-connection and distributed delay under dynamical threshold is investigated. With the help of topological degree theory and Homotopy invariance principle existence and uniqueness of equilibrium point are established. The conditions for which the Hopf-bifurcation occurs at the equilibrium are obtained for the weak kernel of the distributed delay. The direction and stability of the bifurcating periodic solutions are determined by the normal form theory and central manifold theorem. Lastly global bifurcation aspect of such periodic solutions is studied. Some numerical simulations for justifying the theoretical analysis are also presented.

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Wu, Xiang, and Chunrui Zhang. "Dynamic properties of the coupled Oregonator model with delay." Nonlinear Analysis: Modelling and Control 18, no. 3 (2013): 377–97. http://dx.doi.org/10.15388/na.18.3.14016.

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This work explores a coupled Oregonator model. By analyzing the associated characteristic equation, linear stability is investigated and Hopf bifurcations are demonstrated, as well as the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. We also discussed the Z2 equivariant property and the existence of multiple periodic solutions. Numerical simulations are presented to illustrate the results in Section 5.

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