力学与实践 ›› 2011, Vol. 33 ›› Issue (6): 77-78.DOI: 10.6052/1000-0879-lxysj2010-390

• 教育研究 • 上一篇    下一篇

多边形均匀薄板重心确定的几何法

赵玉成1,刘命元2,向治全3   

  1. 1. 中国矿业大学力建学院力学系
    2. 中国矿业大学
    3. 中国矿业大学力学与建筑工程学院
  • 收稿日期:2010-09-24 修回日期:2011-09-02 出版日期:2011-12-15 发布日期:2011-12-23
  • 通讯作者: 赵玉成

Geometry to determine the center of gravity of uniform polygonal thin plate

Yvcheng Zhao,Mingyuan MingLiu,Zhiquan Xiang   

  • Received:2010-09-24 Revised:2011-09-02 Online:2011-12-15 Published:2011-12-23
  • Contact: Yvcheng Zhao

摘要: 物体重心位置的掌握对于很多情况下控制物体的平衡和稳定性十分重要. 对于工程实际 中遇到的一些薄板状构件, 如何快速确定其重心位置? 使用解析法需确定很多点的坐标, 计算耗时耗力;使用试验方法(悬挂法)很多情况下不现 实;本文给出一种快速确定多边形均匀薄板重心位置的几何法.

关键词: 薄板;均匀;多边形;重心;几何法

Abstract: It is very important for controlling the objects’ balance and stability that to grasp the center of gravity position in many cases. For some of the actual sheet-like structures, how to quickly identify the location of its center of gravity? Analytical method using the coordinates of many points to be determined is time-consuming and labor-intensive; using the test method (suspension method) in many cases is unrealistic; In this paper presents a geometry to quickly determine the center of gravity location of the uniform shin polygon.

Key words: Thin plate;uniform;polygonal