西南石油大学学报(自然科学版) ›› 1981, Vol. 3 ›› Issue (4): 67-73.DOI: 10.3863/j.issn.1000-2634.1981.04.006

• 论文 • 上一篇    下一篇

积分变换求梁的变形

关祥杰   

  1. 矿七七级
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1981-11-20 发布日期:1981-11-20

DETERMINATION OF THE DEFLECTION IN BEAMS BY INTEGRAL TRANSFORMATION METHOD

GUAN Xiang-jie
  

  • Received:1900-01-01 Revised:1900-01-01 Online:1981-11-20 Published:1981-11-20

摘要: 本文从求解梁挠度的二阶差分方程出发,通过Z变换,最后推导出计算挠度和转角的
简单公式,使计算过程简化。对于变截面梁和复杂受载下,此法尤为简便。同时,这也
是处理离散参数的数学方法—Z变换在力学中应用的初步尝试。

Abstract: Beginning with the second-order difference equation for solving deflection of the beams, the present paper has obtained simple formulas of evaluating the deflections and angles of rotation by using Z-transformation. These formulas can simplify the calculation a lot, particularly in solving problems of non-uniform cross section beam under complex loads. Besides, it is a primary attempt to apply Z-transformation to mechanics.