【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.更多还原

【Abstract】 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.更多还原