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

• 论文 • 上一篇    下一篇

弹性地基梁的积分变换分析与比拟

袁祥忠
  

  1. 石油工程系
  • 收稿日期:1987-11-10 修回日期:1900-01-01 出版日期:1989-04-20 发布日期:1989-04-20

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

摘要: 本文讨论了横向和纵向载荷作用下弹性地基梁的有关计算问题。利用拉普拉斯变换,获得了该问题的通用计算式。可以对无限长梁、有限长梁进行描述,能适应复杂载荷及各种支承条件。经适当变换,还可用于阶梯变截面弹性基地梁的求解。若轴向力为零,即变为通常的弹性地基梁的计算表达式。这样,就进一步把弹性地基梁的计算问题统一起来,为实际应用提供方便。作为应用,本文还讨论了,壳体结构近似分析中的弹性地基梁比拟方法。

关键词: 弹性地基梁, 积分变换, 壳体结构

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