山西大学学报（自然科学版）2026，Vol.49Issue(4)：624-631,8.DOI:10.13451/j.sxu.ns.2026021
Kelvin-Voigt阻尼的梁-弦-梁传输系统的稳定性分析
Analysis of Stability of a Beam-String-Beam Transmission System with Kelvin-Voigt Damping
摘要
Abstract
The beam-string-beam structure possesses significant and extensive application value in engineering fields such as long-span spatial buildings and flexible connectors in aerospace engineering.This paper investigates the stability of a beam-string-beam transmission system,in which two undamped beams are coupled with a string internally equipped with Kelvin-Voigt(K-V)damping via transmission conditions.It is proved by frequency-domain analysis that the system fails to achieve exponential stability,and the optimal polynomial decay rate is established by combining the frequency-domain method and the multiplier method.The results show that the K-V damping existing only in the string can merely render the whole system polynomially stable,which provides a the-oretical reference for the stability analysis of beam-string-beam structures.关键词
传输问题/局部Kelvin-Voigt阻尼/多项式衰减率/梁-弦方程Key words
transmission problem/local Kelvin-Voigt damping/polynomial decay rate/beam-string equation分类
数理科学引用本文复制引用
崔佳楠,柴树根,白晋彦..Kelvin-Voigt阻尼的梁-弦-梁传输系统的稳定性分析[J].山西大学学报（自然科学版）,2026,49(4):624-631,8.基金项目
国家自然科学基金(12271316) （12271316）
山西省基础研究计划青年项目(202303021212266) （202303021212266）
晋中学院博士专项基金(23E00611) （23E00611）
