结构复杂行为分析的有限质点法研究综述

REVIEW OF THE FINITE PARTICLE METHOD FOR COMPLEX BEHAVIORS OF STRUCTURES

有限质点法是一种结构分析的新方法,它以向量力学理论和数值计算为基础,以点值描述和途径单元为基本概念,以清晰的物理模型和质点运动控制方程描述结构行为。该方法的计算不需组集单元的刚度矩阵,也不需迭代求解控制方程式。与传统方法相比,在结构的动力、几何非线性、材料非线性、屈曲或褶皱失效、机构运动、接触和碰撞等复杂行为分析中有较大的优势。该文首先介绍有限质点法的基本理论,在此基础上着重阐述这种新的数值分析方法在空间结构复杂行为研究领域的优势及应用,并对该方法的发展趋势作出展望。

Finite Particle Method(FPM) is a recently proposed method for structural behavior analysis.Different from the traditional methods generated from continuum mechanics and variational principles,the FPM is based on the vector mechanics.With the description of point values and path units,the FPM models the physical body composed of finite particles whose motions are described by Newton's second law.In the FPM,no iterations are necessary to follow nonlinear laws,and no matrices are formed or solved.These features make the FPM have more advantages than traditional methods in the complicated behavior analysis of structures,including dynamic responses,geometric nonlinearity,material nonlinearity,buckling or wrinkles failure,mechanism motion,contact and collision,etc.The theoretical fundamentals and some numerical examples are presented to demonstrate the advantages and applications of this method in the complicated behaviors research fields of structures.The trends of this method are also proposed.