薄壁梁轴向碰撞下的动力弹性分析

对薄壁梁的轴向碰撞问题进行了理论分析．考虑具有非对称断面和弯曲初始缺陷的薄壁梁受质量轴向对心碰撞的情形，计及弯扭耦合、轴向惯性、横向惯性和扭转惯性的影响，建立了薄壁梁轴向碰撞下的动力学方程式．采用有限差分的方法对控制微分方程进行了求解．以槽形断面薄壁梁为例进行了算例计算和分析．分析中考虑梁的动力弹性屈曲问题，并对初始缺陷和碰撞速度的影响进行了讨论，得出了有意义的结论．

Dynamic Elastic Analysis of Thin-Walled Beams Subject to Axial Impact

A thin-walled beam subject to axial impact was analyzed theoretically. Thin-walled beams with asymmetric cross-section and initial imperfection are considered. The coupling between bending and torsion, axial inertia, lateral intertia and torsional inertia are taken into account in the formulation. Dynamic equations of thin-walled beams subject to axial impact were established and solved by finite difference method. Taking a thin-walled beam with channel cross-section as an example, the dynamic elastic buckling was investigated. The effects of initial imperfection and impact velocity were discussed and some meaningful conclusions were drawn.