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首页> 外文会议>IUTAM Symposium on Dynamics of Advanced Materials and Smart Structures May 20-24, 2002 Yonezawa, Japan >CONTROL OF STRUCTURES BY MEANS OF HIGH-FREQUENCY VIBRATION
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CONTROL OF STRUCTURES BY MEANS OF HIGH-FREQUENCY VIBRATION

机译：高频振动控制结构

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摘要

The paper extends theory of vibrational stabilization to nonlinear systems with quasi-periodic parametric perturbations. A special change of variable is proposed to reduce the Lagrangian equations of motion to the form allowing averaging. The averaged system has the canonical form even if the perturbations are non-potential. A detailed analysis of the averaged system indicates that the effect of fast perturbations on Lagrangian systems is similar to the change of the potential forces acting upon the system. Extrema of the averaged potential differ from the equilibrium positions of the unperturbed system. This leads to the change in the stability conditions. The method developed is illustrated by examples.
机译：本文将振动稳定理论扩展到具有准周期参数摄动的非线性系统。建议对变量进行特殊更改，以将拉格朗日运动方程式简化为允许平均的形式。即使扰动是非潜在的，平均系统也具有规范形式。对平均系统的详细分析表明，快速扰动对拉格朗日系统的影响类似于作用在系统上的势力的变化。平均电位的极值与无扰动系统的平衡位置不同。这导致稳定性条件的改变。实例说明了开发的方法。

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