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力学与实践 ›› 2019, Vol. 41 ›› Issue (6): 715-717.doi: 10.6052/1000-0879-19-075

• 教育研究 • 上一篇    下一篇

一种基于图乘的变刚度直杆位移计算折算技巧1)

黄亮*, 2), 孙小寒*, 胡鑫鑫, 王博   

  1. * 郑州大学土木工程学院,郑州 450001;
    郑州大学水利与环境工程学院,郑州 450001
  • 收稿日期:2019-02-25 发布日期:2019-12-27
  • 通讯作者: 2)黄亮,讲师,研究方向为结构抗震与防灾。E-mail: ansys10@126.com
  • 基金资助:
    1) 国家自然科学基金(11472248)、河南省科技厅基础与前沿技术研究基金(122102210091) 资助项目

DISPLACEMENT CALCULATION FOR STRAIGHT BAR WITH VARIABLE STIFFNESS BASED ON GRAPH MULTIPLICATION METHOD1)

HUANG Liang*, 2), SUN Xiaohan*, HU Xinxin, WANG Bo   

  1. * Department of Civil Engineering of Zhengzhou University, Zhengzhou 450001, China;
    Department of Water Conservancy and Environmental Engineering, Zhengzhou 450001, China
  • Received:2019-02-25 Published:2019-12-27

摘要: 为解决图乘法计算变截面杆件位移时分割图形数目多,计算容易出错这一问题,提出了一种刚度折算的方法,把长度已知的变截面杆件等价转换为两个一定长度的等截面杆件,通过刚度与位移的关系进行折算,然后叠加即可得到正确结果。可显著减少图乘次数,降低计算量,提高计算效率和正确率,值得推广。

关键词: 图乘法, 变截面杆件, 刚度转化

Abstract: When using the graph multiplication method to calculate the displacement of beams of variable cross-section, the graph segmentation is complicated, which often leads to errors. This paper puts forward a stiffness reduction method, a bar of variable cross-section with a certain length can be transformed into two bars of constant section with different lengths, through the relationship between the stiffness and the displacement, and with the superposition, the equivalent displacement can be obtained. This method can be widely applied to the displacement calculation of rods with variable section, to significantly reduce the number of graph multiplications, and the amount of calculation, improve the calculation efficiency and accuracy.

Key words: graphical multiplication method, variable section bar, stiffness transformation

中图分类号: 

  • O342