基于有限质点法的结构倒塌破坏研究Ⅰ:基本方法  

Structural collapse analysis based on finite particle method I: basic approach

作　　者：喻莹[1,2] 罗尧治[1] 

机构地区：[1]浙江大学空间结构研究中心,浙江杭州310058 [2]汕头大学土木工程系,广东汕头515063

出　　处：《建筑结构学报》2011年第11期17-26,共10页Journal of Building Structures

基　　金：国家高技术研究发展计划项目(2007AA04Z441);国家杰出青年科学基金项目(51025828);国家自然科学基金项目(50978227;51108257);广东省自然科学基金项目(S2011040004173)

摘　　要：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 structures under dynamic loads is a complicated and important topic.This paper presents the analysis of structural collapse by the finite particle method（FPM）.The FPM based on vector mechanic discretizes the domain with finite particles connected by elements.The deformations of the elements represent the force relations between the particles.Motions of all particles,which follow Newton＇s second law,can describe structural behavior.The basic concepts of the FPM were presented first.Then,taking the 3D truss structure as an example,the motion equations and solution procedure of this method were given.By separating the rigid body motion and pure deformation from the fictitious motion of the element,formulation of the 3D frame structure were derived.In the FPM,no nonlinear equation was solved to analyze nonlinear problems,and no mesh modification was needed to analyze fracture,which were advantageous in the simulation of structural collapse.This paper provides a new method for the structural collapse analysis.

关 键 词：建筑结构 有限质点法 质点 空间梁单元 运动方程 倒塌破坏 

分 类 号：TU375.401[建筑科学—结构工程]