论文部分内容阅读
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 point method is a new method of structural analysis. It is based on vector mechanics theory and numerical calculation. It takes point value description and path unit as basic concepts, and describes structural behavior with clear physical model and particle motion control equation. The method does not need to set the stiffness matrix of the elements and does not need to iteratively solve the control equations. Compared with traditional methods, it has great advantages in the analysis of complex behaviors such as dynamic structure, geometric nonlinearity, material nonlinearity, buckling or folding failure, mechanism movement, contact and collision. Firstly, this paper introduces the basic theory of finite element method. On the basis of this, it emphasizes on the advantages and applications of this new numerical analysis method in the field of complex behavior of spatial structure. Finally, it gives a prospect of the development trend of this method.