【摘要】 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。更多还原

【Abstract】 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 will increase with the increase of the foundation’s elastic coefficient value and the affect of vibration modes to first buckling configuration is negligible in the small amplitude.更多还原