On the use of two-dimensional Euler parameters for the dynamic simulation of planar rigid multibody systems

作者: Carmine M. Pappalardo , Domenico Guida

DOI: 10.1007/S00419-017-1279-0

关键词: Equations of motionBackward Euler methodMathematicsMathematical analysisControl theoryQuaternionSemi-implicit Euler methodNumerical integrationKinematicsPosition (vector)Dynamic simulation

摘要: … In the mathematical formulation of the algebraic constraints of multibody systems analyzed in this section, it is assumed that the bodies are subjected to an appropriate set of …

参考文章(58)
Jie Zhang, Donghuan Liu, Yinghua Liu, A constraint violation suppressing formulation for spatial multibody dynamics with singular mass matrix Multibody System Dynamics. ,vol. 36, pp. 87- 110 ,(2016) , 10.1007/S11044-015-9458-7
Kristopher T. Wehage, Roger A. Wehage, Bahram Ravani, Generalized coordinate partitioning for complex mechanisms based on kinematic substructuring Mechanism and Machine Theory. ,vol. 92, pp. 464- 483 ,(2015) , 10.1016/J.MECHMACHTHEORY.2015.06.006
Hao Sun, Han Zhao, Shengchao Zhen, Kang Huang, Fumin Zhao, Xianmin Chen, Ye-Hwa Chen, Application of the Udwadia–Kalaba approach to tracking control of mobile robots Nonlinear Dynamics. ,vol. 83, pp. 389- 400 ,(2016) , 10.1007/S11071-015-2335-3
A Cammarata, J Angeles, R Sinatra, The dynamics of parallel Schönflies motion generators: The case of a two-limb system Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. ,vol. 223, pp. 29- 52 ,(2009) , 10.1243/09596518JSCE623
M. Carpinelli, D. Mundo, T. Tamarozzi, M. Gubitosa, S. Donders, W. Desmet, Integrating Vehicle Body Concept Modelling and Flexible Multi-Body Techniques for Ride and Handling Simulations Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control. pp. 113- 122 ,(2012) , 10.1115/ESDA2012-82192
Domenico Guida, Carmine M. Pappalardo, Forward and inverse dynamics of nonholonomic mechanical systems Meccanica. ,vol. 49, pp. 1547- 1559 ,(2014) , 10.1007/S11012-014-9937-6
Graham G. Sanborn, Ahmed A. Shabana, On the integration of computer aided design and analysis using the finite element absolute nodal coordinate formulation Multibody System Dynamics. ,vol. 22, pp. 181- 197 ,(2009) , 10.1007/S11044-009-9157-3
De Jalón, J García, J Unda, A Avello, Natural coordinates for the computer analysis of multibody systems Applied Mechanics and Engineering. ,vol. 56, pp. 309- 327 ,(1986) , 10.1016/0045-7825(86)90044-7