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Reissner夹层板的弯曲,稳定和振动问题的解析解
引用本文:程银水. Reissner夹层板的弯曲,稳定和振动问题的解析解[J]. 北京建筑工程学院学报, 1993, 9(1): 31-43
作者姓名:程银水
作者单位:北京建筑工程学院基础课部,北京建筑工程学院基础课部
摘    要:根据Reissner夹层板理论和胡海昌的简化计算理论,提出了夹层矩形板的弯曲、稳定和振动问题解析解的解答格式。应用此格式,可求解具有各种通常边界条件的Reissner夹层矩形板的弯曲、稳定和振动问题,并将这三类问题的解答格式归并为统一模式,从而使其解析解的求解方法规律化。

关 键 词:解析解的解答格式  边界挠度系数  边界弯矩系数  角点挠度系数  夹层板

Analytical Solutions to Bending, Stability and Vibration Problems for Reissner''s Sandwich Plates
Cheng Yinshui Zhu Qi. Analytical Solutions to Bending, Stability and Vibration Problems for Reissner''s Sandwich Plates[J]. Journal of Beijing Institute of Civil Engineering and Architecture, 1993, 9(1): 31-43
Authors:Cheng Yinshui Zhu Qi
Affiliation:Department of Basic Science
Abstract:On the basis of Reissner's theory of sandwich plates and Haichang Hu's Simplified calculation theory some general forms of analytical solutions to bending, stability and vibration problems for rectangular sandwich plates are advanced in this paper. Using these "general forms of solutions", the abovementioned three kinds of problems for sandwich rectangular plates with various ordinary boundary conditions can be solved effectively. Besides, the solutions to these problems can be merged into some unified patterns, thereby the regularity for solving these problems analytically can be obtained.
Keywords:Reissner's sandwich plates   general forms of analytical solutions   edge and corner point deflection coefficients  normal bending moment coefficients   edge angular rotation coefficients
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