Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping-Reference-Cited by-同舟云学术

Stability of Two Weakly Coupled Elastic Beams with Partially Local Damping

Published:2020-05-06 Issue: Volume:2020 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Zhang Caihong¹^ORCID,Huang Yinuo²^ORCID,Wang Licheng³^ORCID,Duan Chongxiong⁴,Zhang Tiezhu⁵,Wang Kai²^ORCID

Affiliation:

1. College of Automation, Qingdao University, Qingdao 266071, China

2. School of Electrical Engineering, Qingdao University, Qingdao 266071, China

3. School of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China

4. School of Materials Science and Energy Engineering, Foshan University, Foshan 528231, China

5. Shandong University of Technology, Zibo 255000, China

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 A 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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2020/7169526.pdf

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