弹性地基梁在热—机械载荷作用下的非线性响应

基于弹性地基梁在均匀升温及横向均布载荷联合作用下的非线性控制方程,考虑不可移夹紧边界条件,采用打靶法得到了该两点边值问题的数值结果。当横向载荷为零时,成为弹性梁热屈曲问题,给出了不同地基弹性系数的热屈曲平衡路径,结果表明:由于地基的约束作用,弹性梁热屈曲临界升温会明显增加,但不随梁细长比的变化而变化。当横向载荷不为零时,成为弹性梁在热、机械载荷联合作用下的弯曲问题,给出了不同地基弹性系数的弯曲响应。

Nonlinear response of a beam resting on elastic foundation subjected to thermal-mechanical load

Based on the nonlinear governing equations of beam resting on a elastic foundation subjected to uniform temperature rise and transverse load,considering clamped boundary conditions,the numerical results of the ordinary differential equations two-point boundary value problem are obtained by shooting method. When transverse load equal zero,the equations are converted into a set of thermal buckling governing equations. The equilibrium routes of heated elastic beam under conditions of different dimensionless elastic foundation coefficient are given. It is show the critical temperature of thermal buckling of heated elastic beam does increase along with the increasing of elastic coefficient of the foundation. However,it doesn＇t change along with changes of dimensionless ratio of length and height of beams. As transverse load isn＇t equal to zero,the equations are a set of bending governing equations of beam subjected to uniform temperature rise and transverse load. The bending responses of beam are investigated in details.