Eigenfrequencies of curved Euler-Bernoulli beam structures with dissipative joints

Eigenfrequencies of curved Euler-Bernoulli beam structures with dissipative joints
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具有耗散接头的弯曲欧拉-伯努利梁结构的特征频率

DOI:
10.1090/qam/1330652
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发表时间:
1995
影响因子:
0.8
通讯作者:
W. Paulsen
W. Paulsen
中科院分区:
数学4区
文献类型:
--
作者:
W. Paulsen

文献摘要

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在本文中,我们将渐近计算Euler-Bernoulli梁系统的面内振动的本征频率与耗散关节,允许梁弯曲成一个圆弧。这增强了作者以前的结果,结构涉及直梁,在他的预印本“Eigenfrequencies of the non-collinearly coupled Euler-Bernoulli beam system with dissipative joints”。矩阵技术被用来将联合收割机渐近分析与波传播方法的一种形式相结合。
In this paper, we will compute asymptotically the eigenfrequencies for the in-plane vibrations of an Euler-Bernoulli beam system with dissipative joints, which allow the beams to be curved into an arc of a circle. This enhances the author's previous result for structures involving straight beams, given in his preprint "Eigenfrequencies of the non-collinearly coupled Euler-Bernoulli beam system with dissipative joints". Matrix techniques are used to combine asymptotic analysis with a form of the wave propagation method.