ЧaПЛblГИH系统平衡状态的稳定性*
Stability for the Equilibrium State of Chaplygin’s systems
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摘要: 考虑Чаплыгин系统平衡状态的稳定性。给出Чаплыгин系统的运动方程及其平衡状态的存在性条件,得到Чаплыгин系统平衡状态的一些稳定性判据,最后举例说明其应用。Abstract: The stability for the equitibrium states of Chaplygin's systems is considered.The equations of motion of Chaplygin's systems and the existence conditions of their equilibrium states are given.Some criteria of stability for the equilibrium.states of Chaplygin's systems are obtained.Two examples are finally given.
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Key words:
- analytic mechanics /
- nonholonomic system /
- stability
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