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钟万勰, 姚伟岸. 板弯曲求解新体系及其应用[J]. 力学学报, 1999, 31(2): 173-184. DOI: 10.6052/0459-1879-1999-2-1995-020
引用本文: 钟万勰, 姚伟岸. 板弯曲求解新体系及其应用[J]. 力学学报, 1999, 31(2): 173-184. DOI: 10.6052/0459-1879-1999-2-1995-020
NEW SOLUTION SYSTEM FOR PLATE BENDING AND ITS APPLICatION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(2): 173-184. DOI: 10.6052/0459-1879-1999-2-1995-020
Citation: NEW SOLUTION SYSTEM FOR PLATE BENDING AND ITS APPLICatION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(2): 173-184. DOI: 10.6052/0459-1879-1999-2-1995-020

板弯曲求解新体系及其应用

NEW SOLUTION SYSTEM FOR PLATE BENDING AND ITS APPLICatION

  • 摘要: 建立平面弹性与板弯曲的相似性理论,给出了板弯曲经典理论的另一套基本方程与求解方法,然后进入哈密顿体系用直接法研究板弯曲问题.新方法论应用分离变量、本征函数展开方法给出了条形板问题的分析解,突破了传统半逆解法的限制.结果表明新方法论有广阔的应用前景.

     

    Abstract: The governing equation for plate bending is biharmonic equation, the traditionalsolution methodology is the semi-inverse one that causes limitations. The Airy stress function isusually applied traditionally for plane elasticity problems, it also satisfies biharmonic equation.The analogy between plate bending and plane elasticity problems had been noticed long before,but their solution systems are different each other, and the analogy relationship had not been usedsystematically. In this paper, the analogy i...

     

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