西南石油大学学报(自然科学版) ›› 1989, Vol. 11 ›› Issue (2): 100-110.DOI: 10.3863/j.issn.1000-2634.1989.02.11

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ANALYSIS AND SIMULATION OF ELASTIC FOUNDATION BEAMS BY INTEGRAL TRANSFORMATION

Yuan Xiang-zhong
  

  1. (Department of Mechanical Engineering)
  • Received:1987-11-10 Revised:1900-01-01 Online:1989-04-20 Published:1989-04-20

Abstract:

This paper discusses the problem of concerned calculation of elastic foundation beams with combined axial and lateral -loads, By using Laplace transformation,the universal calculating equation about the problem is obtained, It can give a united description of infinite and finite; beams,and be suited to complex loads and all kinds of supporting conditions, If a proper change is made, it can also be used in the solution of beams whose flexural rigidity varies by steps on elastic foundation, When the axial force equals to zero, the formula becomes that of common elastic foundation beams, In this way, the calculation of the elastic foundation beam is further unified, which is very convenient to practical use. For its application, the simulation of elastic foundation beams by the approximate analysis of the shell structure is also discussed in the paper,

Key words: Elastic foundation beam, Integral transformation, Shell