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Reissner夹层板的弯曲、稳定和振动问题的解析解

Analytical Solutions to Bending, Stability and Vibration Problems for Reissner's Sandwich Plates
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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。 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.
作者 程银水 朱锜
出处 《北京建筑工程学院学报》 1993年第1期31-43,共13页 Journal of Beijing Institute of Civil Engineering and Architecture
关键词 夹层矩形板 弯曲 稳定 振动 解析解 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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