空间索面悬索桥的非线性主共振参数分析  

Parametric analysis of the nonlinear primary resonance of spatial cable suspension bridges

作　　者：回忆 徐亮 Hui Yi;Xu Liang(School of Civil Engineering,Chongqing University,Chongqing 400030,China;School of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,China)

机构地区：[1]重庆大学土木工程学院,重庆400030 [2]苏州科技大学土木工程学院,苏州215011

出　　处：《Journal of Southeast University(English Edition)》2024年第2期165-175,共11页东南大学学报（英文版）

基　　金：The Scientific Research Foundation of Suzhou University of Science and Technology (No.332311106);the National Natural Science Foundation of China (No.52078087);111 Project of the Ministry of Education and the Bureau of Foreign Experts of China (No.B18062)。

摘　　要：针对空间索面悬索桥的非线性振动问题,采用一种基于连续介质理论的广义模型开展了非线性主共振参数分析.该模型同时考虑了悬索桥的桥面竖向运动和缆索竖向-水平运动的几何非线性特点.基于该模型和时间多尺度法,推导了求解空间索面悬索桥的竖弯模态主共振响应的调制方程.研究表明,调制方程中的非线性系数会显著影响系统主共振的最大响应幅值,并影响竖弯振动模态的硬化或软化特性.此外,主缆与吊杆的倾角、主缆垂跨比、主梁与主缆的抗拉刚度比等系统参数对非线性系数同样存在显著影响,特别是当系统参数位于奇异点附近时,系统的动力特性会随梁体和主缆的对称振动模态对应的非线性系数突变而剧烈变化,在系统设计中应避免这种情况.该研究能够为该类桥梁的结构设计提供参考.A comprehensive model based on continuum theory is adopted to conduct the parametric analysis of the primary resonance of the nonlinear vibration of spatial cable suspension bridges.This model can simultaneously account for the geometric nonlinearity of both the vertical motion of the deck and the vertical-horizontal motion of the cable.Based on this model and the multiple scale method(MSM),the modulation equations of the primary resonance responses are derived for spatial cable suspension bridges.Nonlinear coefficients in the modulation equations are determined to have notable influences on the maximum response amplitude of the primary resonance of the system and the hardening or softening characteristics of the investigated vibration mode.Meanwhile,system parameters,such as the inclination angles of the main cable and hanger,the sag-to-span ratio of the cable,and the tensile stiffness ratio between the deck and cable,can notably influence the nonlinear coefficient.The dynamic properties of the system can change dramatically in the form of sudden changes in the nonlinear coefficient of the symmetric vibration of the deck and cable if the parameter is located near the singularity,which should be avoided in the design of the system.This study can provide reference for the design of the bridge structure.

关 键 词：悬索桥 空间主缆 非线性动力学 时间多尺度法 主共振 

分 类 号：U441.3[建筑科学—桥梁与隧道工程]