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力学与实践 ›› 2019, Vol. 41 ›› Issue (1): 95-98.doi: 10.6052/1000-0879-18-314

• 教育研究 • 上一篇    下一篇

计算杆件结构的自由度1)

周嘉舜, 王璠, 欧姸君, 黄世清, 何陵辉, 匡友弟2)   

  1. 暨南大学力学与建筑工程学院,广州 510632
  • 收稿日期:2018-08-14 出版日期:2019-02-20
  • 通讯作者: 2)匡友弟, 研究员, 研究方向为物理力学。 E-mail: kuangzhang88@gmail.com
  • 基金资助:
    1)教育部新工科建设(201801094002)、 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、 教育部实践条件和实践基地建设(201801216045)和力学与土木虚拟仿真中心建设资助项目

THE DETERMINATION OF THE COMPUTATIONAL DEGREES OF FREEDOM OF BAR SYSTEMS1)

ZHOU Jiashun, WANG Pan, OU Yanjun, HUANG Shiqing, HE Linghui, KUANG Youdi2)   

  1. School of Mechanics and Construction Engineering, Jinan University, Guangzhou 510632, China
  • Received:2018-08-14 Online:2019-02-20

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。

关键词: 杆件体系, 计算自由度, 直接法

Abstract: This paper proposes a direct method to determine thecomputational degree of freedom $W$ of bar systems in a way of simplicityand uniformity. By taking the bar between any two adjacent joints and thejoints 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.

Key words: bar systems, the computational degree of freedom, the direct method

中图分类号: 

  • O342