| 多层层合板圣维南问题的解析解 |
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| 引用本文： | 钟万勰,姚伟岸.多层层合板圣维南问题的解析解[J].力学学报,1997,29(5):617-626. |
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| 作者姓名： | 钟万勰 姚伟岸 |
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| 作者单位： | 大连理工大学工程力学系 |
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| 摘 要： | 将哈密尔顿体系理论引入到多层层合板问题之中，建立了一套求解该问题的横向哈密尔顿算子矩阵的本征函数向量展开解法，并成功地求解出圣维南问题的解析解．进一步显示了弹性力学新求解体系的有效性及其应用潜力
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| 关 键 词： | 层合板 圣维南问题 哈密顿体系 弹性力学 |
ANALYTICAL SOLUTIONS ON SAINT VENANT PROBLEM OF LAYERED PLATES |
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| Zhong Wanxie.ANALYTICAL SOLUTIONS ON SAINT VENANT PROBLEM OF LAYERED PLATES[J].chinese journal of theoretical and applied mechanics,1997,29(5):617-626. |
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| Authors: | Zhong Wanxie |
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| Abstract: | The Hamiltonian system theory is introduced into elasticity problem of layered plates, therefore the eigenfunction expansion method based on horizontal Hamiltonian operator matrix are derived to solve this problem. The analytical solutions on Saint Venant problem of layered plates are obtained by this method. It demonstrates further the potential of the Hamiltonian system theory and symplectic mathematics. |
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| Keywords: | layered plates Saint Venant problem Hamiltonian system |
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