EXPANSION OF SOLUTION OF TIMOSHENKO BEAM WITH TIME DELAY IN INTERIOR DAMPING

Xiaorui Wang; Genqi Xu

doi:10.11948/20250366

2027 Volume 17 Issue 1

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Xiaorui Wang, Genqi Xu. EXPANSION OF SOLUTION OF TIMOSHENKO BEAM WITH TIME DELAY IN INTERIOR DAMPING[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 288-312. doi: 10.11948/20250366

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Xiaorui Wang, Genqi Xu. EXPANSION OF SOLUTION OF TIMOSHENKO BEAM WITH TIME DELAY IN INTERIOR DAMPING[J]. Journal of Applied Analysis & Computation, 2027, 17(1): 288-312. doi: 10.11948/20250366

EXPANSION OF SOLUTION OF TIMOSHENKO BEAM WITH TIME DELAY IN INTERIOR DAMPING

Xiaorui Wang^1, ,,
Genqi Xu^2,

1.
Department of Mathematics and Statistics, Qinghai Minzu University, Xining 810007, China
2.
School of Mathematics, Tianjin University, Tianjin 300354, China

Author Bio: Email: gqxu@tju.edu.cn(G. Xu)
Corresponding author: Email: xrwang2012@126.com(X. Wang)
Fund Project: The authors were supported by National Natural Science Foundation of China (12401581) and Research Project of Qinghai Minzu University (2024XJMA05)

Abstract

Abstract

In this paper, we study the solution expansion for Timoshenko beam with time delay in interior damping. We show that the set of its eigenvectors is complete in the state space, but the set of its eigenvectors does not form a Schauder basis for the state space. Besides, we also prove that the solution of this system still can be expressed by these eigenvectors in the form of infinite series under certain conditions.
- Timoshenko beam /
- time delay /
- interior damping /
- solution expansion
MSC: 93C20, 35C30

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References

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