力学与实践 ›› 2017, Vol. 39 ›› Issue (5): 445-448,444.DOI: 10.6052/1000-0879-17-093

• 应用研究 • 上一篇    下一篇

变刚度梁挠度曲线的Green函数法求解

刘胜来   

  1. 清华大学土木工程系, 北京 100084
  • 收稿日期:2017-03-22 修回日期:2017-05-19 出版日期:2017-10-15 发布日期:2017-11-06
  • 作者简介:刘胜来,硕士研究生,主要从事结构工程与计算力学的研究.E-mail:liusl1992@sina.com

SOLUTION OF DEFLECTION CURVE OF VARIABLE STIFFNESS BY GREEN FUNCTION METHOD

LIU Shenglai   

  1. Department of Civil Engineering, Tsinghua University, Beijing 100084, China
  • Received:2017-03-22 Revised:2017-05-19 Online:2017-10-15 Published:2017-11-06

摘要:

在变刚度梁的线弹性问题中,求解梁受静力荷载的挠度曲线常用解法有积分法与单位荷载法.本文从变刚度梁挠度曲线的微分方程出发,给出了变刚度梁挠度曲线的Green函数法解答,并分析了该解法的优点.从推导结果可以看到,本文提出的公式具有统一、精确、简洁、适合电算的特点,在编制杆系结构计算软件中将具有重要应用价值.

关键词:

变刚度梁|挠度曲线|Green函数法

Abstract:

In the problem of linear elasticity of variable stiffness beam, the solution of the deflection curve of static load is usually obtained by integral method or unit-load method. Based on the differential equation of the problem, this paper gives a new type of solution with Green function method to get the deflection curve of the variable stiffness beam. It can be seen from the derivation results that the formulas proposed in this paper have the characteristics of uniformity, accuracy, simplicity and suitable for computerization, which will have important application value for the analysis of the frame structure.

Key words:

variable stiffness beam|deflection curve|Green function method

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