弹性地基上固支梁在热载荷作用下的自由振动

基于弹性地基梁在均匀升温作用下的非线性自由振动控制方程,运用Kantorovich平均法将非线性偏微分方程转化成一组常微分方程,考虑不可移夹紧边界条件,采用打靶法得到了一阶屈曲位形下的前四阶振型的数值结果。结果表明:随地基弹性系数增加,热屈曲临界温度增加;另外,在小振幅的情形下,不同振型对屈曲构型的影响均很小。

The free vibration of a clamped beam on elastic foundation under a thermal load

Based on the control equations of the nonlinear free vibration on elastic foundation beam under the uniform temperature rise,the nonlinear partial differential equations are converted into a set of ordinary ones by using Kantorovich averaging procedure.Considering immovable clamped boundary conditions,the numerical results of the first to forth vibration modes under the first post-buckling mode are obtained by employing the shooting method.The result shows that the critical temperature of thermal buckling w...