Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping

Caihong Zhang, Yinuo Huang, Licheng Wang, Chongxiong Duan, Tiezhu Zhang and Kai Wang

Mathematical Problems in Engineering, 2020, vol. 2020, 1-9

Abstract:

In this paper, the stability of two weakly coupled elastic beams connected vertically by a spring is investigated via the frequency domain method and the multiplier technique. When the two beams have partially local damping, the operator is obtained via variable conversion, and it generating a semigroup is proved, then we obtain that the semigroup is exponentially stable by reduction to absurdity.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7169526

DOI: 10.1155/2020/7169526

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