| 双向变刚度矩形板弯曲问题的精确解 |
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| 引用本文： | 尚新春. 双向变刚度矩形板弯曲问题的精确解[J]. 兰州大学学报(自然科学版), 1991, 27(2): 24-32 |
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| 作者姓名： | 尚新春 |
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| 作者单位： | 兰州大学力学系 兰州，730000 |
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| 摘 要： |
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| 关 键 词： | 板 矩形 变刚度 弯曲 精确解 |
Exact Solution on a Problem of Bending of Double-Direction Rectangular Elastic Plates of Variable Rigidity |
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| Shang Xinchun. Exact Solution on a Problem of Bending of Double-Direction Rectangular Elastic Plates of Variable Rigidity[J]. Journal of Lanzhou University(Natural Science), 1991, 27(2): 24-32 |
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| Authors: | Shang Xinchun |
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| Affiliation: | Shang Xinchun Department of Mechanics,Lanzhou University,Lanzhou,730000 |
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| Abstract: | In this paper, the problem of bending of double-direction rectangularplates of variable rigidity with two opposite edges simply supported andother two edges arbitrarily supported under arbitrarily distributed loadsis discussed in detail. By means of higher transcendental functions(exponential integral, sine and cosine integral), the general solutions ofthe problem are obtained. Finally, the problem is turned into how tosolve the linear algebraic equations with two systems of unknown integralconstants. Taking the rectangular plates with four sides simply supportedas an example, all integral constants are obtained, thus giving out theexact Levy-type solutions of the problem. |
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| Keywords: | rectangular elastic plate variable rigidity problem of bending exact solution |
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