Wave Characteristics and Vibration Control of Translating Beams by Optimal Boundary Damping
Wave Characteristics and Vibration Control of Translating Beams by Optimal Boundary Damping
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平移梁的波动特性及最优边界阻尼振动控制
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
C. D. Mote
中科院分区：
文献类型：
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作者：
Seung;C. D. Mote
平移张拉欧拉-伯努利梁的横向运动由施加在边界处的被动或主动阻尼控制。即使对于具有对称边界构型的无阻尼梁，平移连续体与静止或运动边界之间的相互作用也会导致自由运动中的能量变化。以时变能量为李雅普诺夫泛函，基于李雅普诺夫第二方法设计了边界控制律。对于各种类型的平移梁，边界阻尼的能量耗散的量化使用行波法。阻尼的最佳值，最大化的能量耗散，也明确表示为系统参数。分析结果与数值模拟使用有限差分格式进行了比较。
The transverse motion of a translating tensioned Euler-Bernoulli beam is controlled by passive or active damping applied at a boundary. Even for an undamped beam with a symmetric boundary configuration, the interaction between the translating continuum and the stationary or moving boundary leads to energy variation in free motion. With the time-varying energy chosen as a Lyapunov functional, boundary control laws are designed based on Lyapunov's second method. For various types of translating beams, energy dissipation by boundary damping is quantified using the method of traveling waves. The optimal value of damping, maximizing the energy dissipation, is also explicitly represented by system parameters. The analytical results are compared with numerical simulations using the finite difference scheme.