江西建材Issue(10)：413-416,4.
竖向基础激励下圆弧拱面内振动失稳研究
Study on In-plane Vibration Instability of Circular Arches Under Vertical Base Excitation
摘要
Abstract
Based on the energy principle,this paper establishes an energy equation for the in-plane dynamic stability of a circular arch subjec-ted to vertical base excitation.By applying Hamilton's principle,a coupled system of governing equations describing the radial and tangential vibrations of the arch surface is derived.Furthermore,using the multiple scales method,an analytical expression for the dynamic instability re-gion of the circular arch under simultaneous first-order antisymmetric parametric resonance and second-order symmetric resonance conditions is obtained.Additionally,the paper delves into the specific impacts of the arch's central angle and damping decay rate on the dynamic instability region.To validate the accuracy of the theoretical analysis,finite element simulation analysis is conducted,which not only confirms the validity of the theoretical solutions but also reveals the underlying mechanism of in-plane dynamic instability in circular arches.关键词
竖向基础激励/圆弧拱/动力不稳定域/振动失稳Key words
Vertical base excitation/Circular arch/Dynanic instability region/Vibration instability分类
交通工程引用本文复制引用
钟子林,黎剑华,申富林,徐晓斌,董勤喜..竖向基础激励下圆弧拱面内振动失稳研究[J].江西建材,2024,(10):413-416,4.基金项目
广州市教育局2022年高校科研项目《复合材料拱非线性振动能量的智能采集研究》(项目编号:202234966). （项目编号:202234966）
