弯曲薄板的修正的功的互等定理及其应用

付宝连

doi:10.3879/j.issn.1000-0887.2014.11.003

弯曲薄板的修正的功的互等定理及其应用

doi: 10.3879/j.issn.1000-0887.2014.11.003

付宝连

燕山大学建筑工程与力学学院, 河北秦皇岛 066004

详细信息

作者简介:
付宝连（1934—），男，辽宁辽阳人，教授（E-mail: ysufubaolian@163.com）.

中图分类号: TU311
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- 被引次数: 0
出版历程
- 收稿日期: 2014-03-07
- 修回日期: 2014-07-07
- 刊出日期: 2014-11-18

Corrected Reciprocal Theorem of Works for Bending Thin Plates and Its Application

FU Bao-lian

College of Architectural Engineering and Mechanics, Yanshan University,Qinhuangdao, Hebei 066004, P.R.China

摘要

摘要: 研究发现，弯曲薄板Betti(贝蒂)的功的互等定理命题中的两个主要前提，“一个弯曲薄板”和“两组力的作用”是相互矛盾的，因为两组力的任意一组力都可以改变“一个弯曲薄板”成为另外一个弯曲薄板.这一矛盾导致弯曲薄板Betti的功的互等定理是一个具有逻辑错误的定理.基于对这一矛盾的分析，提出了修正的功的互等定理，在该定理中，给出了弯曲薄板的功的互等定理的正确命题.同时，该修正的功的互等定理为功的互等法提供了理论基础，功的互等法是结构分析的一个新颖的和强有力的方法.
- Betti的功的互等定理 /
- 修正的功的互等定理 /
- 一个弯曲薄板 /
- 两组力的作用
Abstract: It was discovered that the 2 main premises in the proposition of Betti’s reciprocal theorem of works for bending thin plates, ‘1 bending thin plate’ and ‘action of 2 sets of forces’, were contradictory to each other because any one of the 2 sets of forces might change ‘1 bending thin plate’ to a different one. The contradiction results in the fact that Betti’s reciprocal theorem of works for bending thin plates is one with error in logic. Based on the analysis of the contradiction, a corrected reciprocal theorem was proposed, in which the correct proposition of the reciprocal theorem for bending thin plates was given. The corrected reciprocal theorem provides a theoretical foundation for the reciprocal method of work, which makes a novel and powerful way to the analysis of bending plates.
- Betti’s reciprocal theorem of works /
- corrected reciprocal theorem of works /
- 1 bending thin plate /
- action of 2 sets of forces

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参考文献(26)

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