环境温度变化时移动荷载作用下带式舟桥的1/3次亚谐共振分析  

Analysis of 1/3 subharmonic resonance of belt boat-bridge subjected to moving harmonic excitation in temperature field

作　　者：陈涛[1] 葛庆子[2] 

机构地区：[1]唐山学院土木工程系,河北唐山063000 [2]北京工业大学工程抗震与结构诊治北京市重点实验室,北京100022

出　　处：《河北工业大学学报》2011年第1期101-104,113,共5页Journal of Hebei University of Technology

摘　　要：研究带式舟桥在温度场中受简谐荷载作用的1/3次亚谐共振问题.应用弹性理论和Galerkin方法建立带式舟桥在温度场中受简谐荷载作用的非线性振动方程.应用多尺度法,求得系统1/3次亚谐共振的近似解,并对其进行数值计算.分析了调谐值,荷载幅值,温差,阻尼比等对系统响应曲线的影响,同时研究了速度反馈增益对带式舟桥系统1/3次亚谐共振的控制作用.研究表明,温差和阻尼对系统的1/3次亚谐共振有抑制作用,速度反馈增益对于控制舟桥系统的1/3次亚谐共振幅值和共振区域的大小比较有效.tudy on 1/3 subharmonic resonance of a belt boat-bridge subjected to moving harmonic excitation in tempera-ture field.Applying the elastic theory and Galerkins＇ method,the nonlinear dynamical equation of a belt boat-bridge sub-jected to moving harmonic excitation in a temperature field is established.By means of the method of multiple scales,the approximate solution of the 1/3 subharmonic resonance of the system is obtained and numerical calculations are carried out.The influences of the detuning,load,damping ratio and temperature on the response curves of the system are researched.Meanwhile the control of the velocity feedback coefficient to 1/3 subharmonic resonance are analyzed.

关 键 词：带式舟桥 多尺度法 非线性振动 速度反馈 

分 类 号：U448.19[建筑科学—桥梁与隧道工程]