框架结构倒塌分析中的几个问题

基于广义函数，提出了混合铰杆单元模型，以描述结构倒塌破坏过程中的不连续位移场，并参照当前无应力构形建立控制方程。引入拉格朗日乘子对接触碰撞现象进行分析，不需要刚体软表面假设，对一门式框架和梁自由下落与地面碰撞分别进行了计算分析。

Some Issues in the Collapse Analysis of Frame Structures

Based on generalized functions, a mixed hinge model for beam-column members was proposed, which can be applied in describing discontinuous displacements in the collapse process of structures. The governing equations were built in the current unstressed configuration. Meanwhile, a Lagrangian multiplier approach was introduced for the analysis of collisions, where no assumption of rigid body with soft surface is needed. As demonstrations, a portal frame subjected to monotonously increasing lateral force, as well as a beam freeing to collide into the ground, was analyzed. Some conclusions were drawn out.