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弯曲薄板的修正的功的互等定理及其应用

付宝连

付宝连. 弯曲薄板的修正的功的互等定理及其应用[J]. 应用数学和力学, 2014, 35(11): 1197-1209. doi: 10.3879/j.issn.1000-0887.2014.11.003
引用本文: 付宝连. 弯曲薄板的修正的功的互等定理及其应用[J]. 应用数学和力学, 2014, 35(11): 1197-1209. doi: 10.3879/j.issn.1000-0887.2014.11.003
FU Bao-lian. Corrected Reciprocal Theorem of Works for Bending Thin Plates and Its Application[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1197-1209. doi: 10.3879/j.issn.1000-0887.2014.11.003
Citation: FU Bao-lian. Corrected Reciprocal Theorem of Works for Bending Thin Plates and Its Application[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1197-1209. 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
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

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

  • 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.
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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

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