【摘要】 考虑材料的非线性效应,研究了一个简支桥简化模型的自由振动问题,计及静载变形对其动力特征的影响,利用Galerkin原理,得到了梁关于时间部分的非线性动力方程及其相应的解析解,并对结果进行了分析讨论。更多还原

【Abstract】 In this paper the effects of the physical nonlinearity and static deformation on the dynamic characteristics are taken into consideration. The free vibration of a beam pined at the edges is studied. Using the Galerkin principle,the nonlinear dynamic equation for the unknown function varied only with time and its closed form solution can be obtained. Finally, the discussion is given.更多还原