湖南大学学报（自然科学版）2024，Vol.51Issue(7)：39-49,11.DOI:10.16339/j.cnki.hdxbzkb.2024066
斜拉桥面内振动的理论建模与特征值分析
Theoretical Modeling and Eigenvalue Analysis on In-plane Vibration of Cable-Stayed Bridges
摘要
Abstract
In this study,a refined in-plane dynamic model of cable-stayed bridges was constructed,and the corresponding free vibration characteristics were analyzed.Firstly,the in-plane motion equations of the cable-stayed bridge were derived using the Hamilton variational principle,and the characteristic frequency equation of the linearized model was determined based on boundary conditions.A three-span cable-stayed bridge with double towers was chosen for the numerical calculation,and the correctness of the corresponding solution was verified through the finite element method.Then,the modal characteristics of the cable-stayed bridge were quantitatively reflected by introducing localization factors.Finally,the effects of structural parameters,cable-deck interaction,and structural systems on the natural frequencies and modes were discussed.The results show that the natural modes of the system exhibit the local characteristics when the natural frequencies of the cable-stayed bridge are close to the ones of pure cable.Moreover,the cable-deck interaction may significantly affect the low-order non-local modes.However,the effects on the higher-order frequencies can be ignored.关键词
斜拉桥/索梁相互作用/Hamilton变分原理/固有频率/局部模态Key words
cable-stayed bridge/cable-deck interaction/Hamilton's variational principle/natural frequen-cies/local mode分类
交通工程引用本文复制引用
王连华,谢学鑫,彭剑,张晓宇..斜拉桥面内振动的理论建模与特征值分析[J].湖南大学学报（自然科学版）,2024,51(7):39-49,11.基金项目
长沙市自然科学基金资助项目(KQ2202133),Natural Science Foundation of Changsha(KQ2202133) （KQ2202133）
湖南省自然科学基金资助项目(2023JJ30152),Natural Science Foundation of Hunan Province(2023JJ30152) （2023JJ30152）
