| 弹性地基上自由层合圆板弯曲问题的解析解 |
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| 引用本文： | 盛宏玉. 弹性地基上自由层合圆板弯曲问题的解析解[J]. 岩土工程学报, 2000, 22(3): 323-326 |
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| 作者姓名： | 盛宏玉 |
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| 作者单位： | 合肥工业大学土木建筑工程学院!合肥；230009； |
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| 摘 要： | 从三维弹性力学基本方程出发 ,建立了弹性地基上周边自由的横观各向同性层合圆板轴对称弯曲问题的状态方程 ,并将板面的法向载荷展成傅里叶 -贝塞尔级数 ,从而给出问题的解析解。此解满足弹性力学全部方程 ,计及了所有独立的弹性常数 ,并满足层间连续性条件。
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| 关 键 词： | 层合圆板 状态方程 弹性地基 轴对称弯曲 解析解 |
Analytical solution of bending problem for thick laminated circular plate on elastic foundation with free edges |
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| Sheng Hongyu. Analytical solution of bending problem for thick laminated circular plate on elastic foundation with free edges[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(3): 323-326 |
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| Authors: | Sheng Hongyu |
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| Affiliation: | School of Civil Engineering Hefei University of Technology Hefei 230009 |
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| Abstract: | In this study, the state equation for axisymmetric bending of laminated transversely isotropic circular plate on elastic foundation with free edges is established according to the fundamental equations of three dimensional elasticity By taking Bessel functions as basic solution and expanding the load on the plate surface into Fourier-Bessel's series, an analytical solution for the problem is presented Every fundamental equation of three dimensional elasticity can be exactly satisfied and all the independent elastic constants can be taken into account fully, furthermore, the continuity conditions between plies can also be satisfied |
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| Keywords: | laminated circular plate state equation elastic foundation axisymmetric bending analytical solution |
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