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Mechanics in Engineering ›› 2017, Vol. 39 ›› Issue (5): 445-448,444.doi: 10.6052/1000-0879-17-093

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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

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

CLC Number: 

  • O342