李兰芬, 蒋持平. 边界配点法解中厚板弯曲问题[J]. 工程力学, 1989, 6(4): 58-64.
引用本文: 李兰芬, 蒋持平. 边界配点法解中厚板弯曲问题[J]. 工程力学, 1989, 6(4): 58-64.
Li Lanfen, Jiang Chipin. THE SOLUTION FOR BENDING PROBLEM OF MID-THICK PLATES BY THE BOUNDARY COLLOCATON[J]. Engineering Mechanics, 1989, 6(4): 58-64.
Citation: Li Lanfen, Jiang Chipin. THE SOLUTION FOR BENDING PROBLEM OF MID-THICK PLATES BY THE BOUNDARY COLLOCATON[J]. Engineering Mechanics, 1989, 6(4): 58-64.

边界配点法解中厚板弯曲问题

THE SOLUTION FOR BENDING PROBLEM OF MID-THICK PLATES BY THE BOUNDARY COLLOCATON

  • 摘要: 采用边界配点法解决具有剪切变形的矩形板的弯曲问题,既有效地利用解析法分析的成果,又发挥了离散计算方法的优点,本文给出在均布荷载作用下四边简支,四边固定,两对边简支另两对边固支等边界条件的算例表明:本法的精度高,计算工作量少,能用微型机解决问题,具有工程实用价值,对于其它支承条件、荷载情况,文内提出了求解的途径。

     

    Abstract: Using the boundary collocation solves the bending problem of rectangular plates with shear deformation, It not only uses the result of Analysis method effectively, but also has the advantage of the discrete computing method. Under the uniform load action, the algorithm example for four sides simply supported, four sides fixed supported, two opposite sides simple supported and two opposite side fixed supported is presented: The algorithm shows that its accuracy is high and the computalion amount is decreased. It can use the microcomputer to solve problem, and it is of great value to engineering application. In addition, the path for solving-problem about other supported condition and load case is also presented in this paper.

     

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