| 弹性地基上自由边矩形厚板弯曲问题的Fourier级数解 |
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| 引用本文： | 蔡长安,严宗达. 弹性地基上自由边矩形厚板弯曲问题的Fourier级数解[J]. 贵州工业大学学报(自然科学版), 1992, 0(2) |
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| 作者姓名： | 蔡长安 严宗达 |
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| 作者单位： | 贵州工学院基础科学部，天津大学 |
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| 摘 要： | 本文以附加补充项的Fourier级数作为挠度和剪力函数的模式,直接从Reissner模型建立的厚板弯曲的基本方程组出发,求解了Winkler地基上自由边矩形板的弯曲问题。文中给出了算例,并与经典薄板理论的相应解作了对比。
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| 关 键 词： | 弯曲 弹性地基 Reissner厚板 自由边界 |
FOURIER SERIES SOLUTIONS FOR BENDING PROBLEM OF THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATION |
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| Cai Changan. FOURIER SERIES SOLUTIONS FOR BENDING PROBLEM OF THICK RECTANGULAR PLATES WITH FREE EDGES ON ELASTIC FOUNDATION[J]. Journal of Guizhou University of Technology(Natural Science Edition), 1992, 0(2) |
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| Authors: | Cai Changan |
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| Affiliation: | Cai Changan ( Guizhou Institute of Technology ) Yan Zongda ( Tianjin University) |
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| Abstract: | Fourier Series with additional terms is used as the expressions of the deflection and shear forces functions, and bending problem of thick rectangular plates with free edges on Winkler foundation has been solved, directly from the governing equations of thick plate theory developed by E.Reissner. The numerical examples have been presented and compared with the corresponding solutions of classical thin plate theory. |
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| Keywords: | bend elastic foundation thick plate of Reissner free edges |
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