结构几何构造分析中的四个辅助规则及其应用  

FOUR AUXILIARY RULES AND THEIR APPLICATION IN GEOMETRICAL CONSTRUCTION ANALYSIS OF STRUCTURES

作　　者：刘永军[1] LIU Yongjun(School of Civil Engineering,Shenyang Jianzhu University,Shenyang 110168,China)

机构地区：[1]沈阳建筑大学土木工程学院,沈阳110168

出　　处：《力学与实践》2022年第1期197-202,共6页Mechanics in Engineering

摘　　要：结构力学课程中,结构的几何构造分析是重要的基础内容。通常,几何构造分析要采用源于铰接三角形规律的三个基本规则进行。为了提升三个基本规则的解题效率和解题能力,本文提出四个辅助规则。在辅助规则配合下,很多繁杂问题的几何构造分析过程变得清晰简捷,一些以前仅仅依靠三个基本规则无法分析的困难问题得到解决。文中给出三个算例,证明四个辅助规则易懂、有效。In the course of structural mechanics,geometrical construction analysis of structures is an essential and fundamental topic.In general,geometrical construction analysis is conducted using three basic geometrical construction rules that originate from the hinged triangle rule.In order to improve the efficiency and ability of three basic rules,four auxiliary rules are proposed in this paper.With the cooperation of the auxiliary rules,the geometrical construction analysis processes of many complex systems become clear and simple,and some difficult problems that cannot be analyzed in the past only utilizing three basic rules can be solved now.Three examples are given to illustrate that the four auxiliary rules are easy to understand and effective to use.

关 键 词：几何构造分析 几何不变体系 几何构造规则 结构力学 

分 类 号：O342[理学—固体力学]