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动力荷载作用下的结构倒塌破坏问题一直是一个复杂而重要的研究课题。基于有限质点法对结构的倒塌破坏过程进行模拟和分析。有限质点法是基于向量式结构力学的数值分析方法,它将分析域离散为质点,质点间通过单元相连,质点间作用力的关系依靠单元变形描述,质点运动遵循牛顿第二定律,该方法通过描述质点的运动行为来追踪结构行为。给出了有限质点法的基本概念,以空间杆系结构为例建立质点的运动方程及其求解步骤。通过单元虚拟运动分离单元的刚体运动和纯变形,推导了空间梁系结构的计算公式。有限质点法计算结构非线性行为无需迭代求解非线性方程或特殊修正,计算构件断裂行为不受网格划分限制,与传统方法相比在结构复杂行为分析中具有优势。
The collapse of structure under the action of dynamic load has always been a complex and important research topic. The finite element method is used to simulate and analyze the collapse process of structures. The finite element method is a numerical analysis method based on vector structural mechanics. It separates the analysis domains into particles, the particles are connected by elements, and the relationship between the forces acting on the particles depends on the element deformation. The particle motion follows the Newton’s second law, Describe the motions of particles to track structural behavior. The basic concept of finite element point method is given. Taking the spatial structure as an example, an equation of motion of particles and its solving steps are established. Through the rigid body motion and pure deformation of the unit virtual motion separation unit, the calculation formula of space beam structure is deduced. Finite element method does not need to iteratively solve nonlinear equations or special corrections to calculate the nonlinear behavior of structures, and the fracture behavior of members is not limited by meshing. Compared with the traditional method, it has an advantage in the analysis of complex structures.