Kelvin-Voigt阻尼的梁-弦-梁传输系统的稳定性分析OA

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.