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刘延柱. 受控多体复摆的定性分析[J]. 力学学报, 1990, 22(5): 637-640. DOI: 10.6052/0459-1879-1990-5-1995-994
引用本文: 刘延柱. 受控多体复摆的定性分析[J]. 力学学报, 1990, 22(5): 637-640. DOI: 10.6052/0459-1879-1990-5-1995-994
QUALITATIVE ANALYSIS OF CONTROLLED MULTI-PENDULUM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(5): 637-640. DOI: 10.6052/0459-1879-1990-5-1995-994
Citation: QUALITATIVE ANALYSIS OF CONTROLLED MULTI-PENDULUM[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(5): 637-640. DOI: 10.6052/0459-1879-1990-5-1995-994

受控多体复摆的定性分析

QUALITATIVE ANALYSIS OF CONTROLLED MULTI-PENDULUM

  • 摘要: 本文讨论多体复摆的运动规律,作为具有单个支点的人体运动模型。系统中各邻接刚体之间作受控的相对运动。利用通路矢量和增广体概念导出系统的动力学普遍方程。对于平面运动的特殊情形,可在相平面内进行定性分析。以人体的站立稳定性和自激摆动为例。

     

    Abstract: The motion of a multi-pendulum is discussed in the present paper as the model of human body with single suspension.The contiguous bodies of the system perform controlled relative motion. The general dynamical equations of the system are derived using the concepts of path vectors and augmented bodies. In the case of plane motion, the phase plane method can be used to analyse the motion qualitatively. The stability of standing and self-excited swing is discussed as example.

     

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