计算杆件结构的自由度

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英文篇名：THE DETERMINATION OF THE COMPUTATIONAL DEGREES OF FREEDOM OF BAR SYSTEMS 作者：周嘉舜 ; 王璠 ; 欧姸君 ; 黄世清 ; 何陵辉 ; 匡友弟 英文作者：ZHOU Jiashun;WANG Pan;OU Yanjun;HUANG Shiqing;HE Linghui;KUANG Youdi;School of Mechanics and Construction Engineering, Jinan University; 关键词：杆件体系 ; 计算自由度 ; 直接法 英文关键词：bar systems;;the computational degree of freedom;;the direct method 中文刊名：LXYS 英文刊名：Mechanics in Engineering 机构：暨南大学力学与建筑工程学院; 出版日期：2019-02-08 出版单位：力学与实践 年：2019 期：v.41 基金：教育部新工科建设(201801094002),教育部实践条件和实践基地建设(201801216045); 具有侨校特色的力学与土木虚拟仿真实验教学体系与平台构建;; 力学与土木虚拟仿真中心建设资助项目 语种：中文; 页：LXYS201901017 页数：4 CN：01 ISSN：11-2064/O3 分类号：99-102

摘要

为了简化和统一结构力学教材中杆件体系计算自由度W的算法,本文提出了"直接法"。该方法以相邻节点间的杆件和结点为分析对象,对于含m根杆件、g个单刚结点和h个单铰结点的平面杆件体系,直接法给出计算自由度公式W=3m-(3g+2h)。相比于已有方法,直接法研究对象清晰,数学运算统一,适合于编程计算,便于初学者准确而快速计算复杂体系的W;也为结构超静定次数的确定提供了一种简单有效的数值算法。
        This paper proposes a direct method to determine the computational degree of freedom W of bar systems in a way of simplicity and uniformity. By taking the bar between any two adjacent joints and the joints as the analysis objects, the direct method gives a formula W = 3 m-(3g + 2h) for the plane system with m bars, g single rigid joints and h single hinge joints. Compared with the previous algorithms to determine W, this method is easy to be applied and may increase the accuracy and the efficiency. It can also be used in determining the degrees of freedom of a statically indeterminate problem.

引文

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