Boundary stabilization of an Euler-Bernoulli beam with viscoelastic damping
Boundary stabilization of an Euler-Bernoulli beam with viscoelastic damping
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DOI：
10.1109/cdc.1987.272798
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发表时间：
1987-12
期刊：
影响因子：
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通讯作者：
W. Desch;K. Hannsgen;Y. Renardy;R. Wheeler
中科院分区：
文献类型：
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作者：
W. Desch;K. Hannsgen;Y. Renardy;R. Wheeler
研究了线性粘弹性梁弯曲振动的边界反馈控制方法。结果表明，在Euler-Bernoulli模型中，任意小的反馈时滞可以引起具有任意大的指数增长率的无界振动。对于纯弹性情况下的Brachenko梁，给出了一个对比结果，并推导了无反馈延迟情况下的高频模式衰减率公式。各种无延迟情况下的数值结果进行了总结。
Boundary feedback schemes for stabilizing flexural vibrations in a linear viscoelastic beam are studied. It is shown that in the Euler-Bernoulli model an arbitrarily small feedback delay can cause unbounded vibrations with arbitrarily large exponential growth rates. For the Timoshenko beam, in the purely elastic case, a contrasting result is given, and formulas for decay rates of high frequency modes are developed for the case of no feedback delay. Numerical results for various no-delay cases are summarized.