摘要
本文根据力学概念和库仑摩擦定律,建立了空间结构支座摩擦力问题的精确数学模型并提出了两种解法,即数学规划法和弹簧约束法;同时指出了考虑支座摩擦力作用的结构分析方法。算例表明本文的方法是很有效的。本文的研究成果已应用于实际工程的结构优化设计。
In this paper,an accurate mathematical model of pedestal forces of a general space structure is established according to the Coulomb's law of friction and mechanical concepts. Two methods of solving, which are named the method of mathematical programming and spring restraint, are presented. Meanwhile, a simple way of structural analysis by finite element is pointed out considering the pedestal frictional forces of structure. Some examples are given. The numerical results show that the methods are very efficient. The research results have been applied to optimum structural design in a practical engineering.
基金
福建省自然科学基金
关键词
空间结构
支座摩擦力
数学模型
space structure, pedestal frictional force, mathematical model, method of mathematical programming, method of spring restraint
