平面杆件体系几何组成分析的运动学方法<sup>1)</sup>

平面杆件体系几何组成分析的运动学方法¹⁾

摘要: 平面杆件体系的几何组成分析是结构力学重要的基础内容,教材介绍的两刚片规则、三刚片规则及零载法等分析方法在处理一些构造复杂的体系时,往往无能为力。本文基于两个关于虚铰和无穷远虚铰的运动学特征定理,建立了一种理论上能分析任意平面杆件体系几何组成的运动学方法,并给出了三个应用实例。

Abstract: The geometric composition analysis for the planar member system is a fundamental part in the structural mechanics. With the traditional triangular rules or the zero-load method, difficulties will be encountered in analyzing some complex systems. To overcome these shortcomings, a kinematics-based method is proposed to analyze any planar member systems theoretically. Three examples are provided to show its efficiency.