| 简支平行四边形底扁壳大挠度问题的准确解 |
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| 引用本文： | 蔡松柏,邓思华.简支平行四边形底扁壳大挠度问题的准确解[J].河海大学学报(自然科学版),1991,19(5):17-24. |
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| 作者姓名： | 蔡松柏 邓思华 |
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| 作者单位： | 湖南大学土木系，河海大学工程力学系 |
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| 摘 要： | 本文将S.Leoy 1949年解矩形板大挠度问题的双三角级数法推广到平行四边形板和扁壳的情况,得到了平行四边形和扁壳大挠度问题的准确解,求出了在各种边比,各种斜角,各种曲率情况下的挠度～荷载曲线、膜力～荷载曲线、弯曲应力～荷载曲线.计算结果表明,推广的解法级数收敛快、计算机时少、方法可靠.所附图表为平行四边形板和扁壳工程设计的改进提供了依据.
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| 关 键 词： | 非线性 扁壳 平行四边形 挠度 计算 |
Analytical Solution to Large Deflection Problems of Skewed Plates and Parallelogram Shallow Shells |
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| Cai Shongbai Dept. of Civil Engineering Hunan Univ.
Deng Sihua Dept. of Mechanical Engineering,Hohai Univ..Analytical Solution to Large Deflection Problems of Skewed Plates and Parallelogram Shallow Shells[J].Journal of Hohai University (Natural Sciences ),1991,19(5):17-24. |
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| Authors: | Cai Shongbai Dept of Civil Engineering Hunan Univ
Deng Sihua Dept of Mechanical Engineering Hohai Univ |
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| Abstract: | In this paper, S. Levy's double triangular series method for large deflection problems of rectangular plates is generalized to the same problem of parallelogram plates and shallow shells. The analytical solution to the problem and deflection, membrane stress and bending stress diagram are ohtained. The numerical results show the method suggested in this paper is clear in principle, fast in convergence, and reasonable in result. |
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| Keywords: | large deflection shallow shells double triangular series analytical solution |
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