Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics

Meijaard J; Popov A

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Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics

机译：应用于摩托车动力学的多体系统解的数值延续和分支分析

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摘要

It is shown how the equations of motion for a multibody system can be generated in a symbolic form and the resulting equations can be used in a program for the analysis of nonlinear dynamical systems. Stationary and periodic solutions are continued when a parameter is allowed to vary and bifurcations are found. The variational or linearized equations and derivatives with respect to parameters are also provided to the analysis program, which enhances the efficiency and accuracy of the calculations.

机译：它显示了如何以符号形式生成多体系统的运动方程，以及如何将所得方程用于程序中的非线性动力学系统分析。当允许参数变化并发现分支时，将继续执行固定解和周期解。还向分析程序提供了参数的变分或线性化方程式和导数，从而提高了计算效率和准确性。

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来源
《Nonlinear dynamics》 |2006年第2期|共20页
作者
Meijaard J; Popov A;
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正文语种 eng
中图分类动力学;
关键词
bifurcations; continuation; double pendulum; motorcycle dynamics; multibody dynamics; PERIODIC-SOLUTIONS; STABILITY; PATH;

机译：分叉;延续;双摆;摩托车动力学;多体动力学;周期解;稳定性;路径;

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专利

1. Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics [J] . Meijaard J, Popov A Nonlinear dynamics . 2006,第1a2期

机译：应用于摩托车动力学的多体系统解的数值延续和分支分析
2. A study on numerical solution method for efficient dynamic analysis of constrained multibody systems [J] . Jae-Hwan Lim, Hong Jae Yim, Si-Hyung Lim, Journal of Mechanical Science and Technology . 2008,第4期

机译：约束多体系统有效动力分析的数值解法研究
3. A study on numerical solution method for efficient dynamic analysis of constrained multibody systems [J] . Jae-Hwan Lim, Hong Jae Yim, Si-Hyung Lim, Journal of Mechanical Science and Technology . 2008,第4期

机译：约束多体系统有效动力分析的数值解法研究
4. NUMERICAL CONTINUATION METHODS AND BIFURCATION ANALYSIS APPLIED TO MULTIBODY SYSTEM DYNAMICS [C] . J. P. Meijaard 19th Biennial Conference on Mechanical Vibration and Noise . 2003

机译：数值连续方法和分岔分析在多体系统动力学中的应用
5. Hermite continuation and numerical bifurcation analysis. [D] . Hughes, Jeremy S. 2010

机译：Hermite延续和数值分支分析。
6. Numerical solution of coupled transport equations applied to corneal hydration dynamics. [O] . S D Klyce, S R Russell 1979

机译：耦合运输方程应用于角膜水化动力学的数值解。
7. Nonlinear dynamics systems - bifurcations, continuation methods, periodic solutions [O] . Kubíček, Milan, Holodniok, Martin 1985

机译：非线性动力学系统-分叉，连续方法，周期解
8. Numerical Solution of Nonlinear Oscillatory Multibody Dynamic Systems [R] . Yen, J., Petzold, L. R. 1996

机译：非线性振荡多体动力系统的数值解

Numerical continuation of solutions and bifurcation analysis in multibody systems applied to motorcycle dynamics

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