| 正交异性层合圆柱厚壳静、动态问题的分析解 |
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| 引用本文： | 范家让. 正交异性层合圆柱厚壳静、动态问题的分析解[J]. 合肥工业大学学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 范家让 |
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| 摘 要： | 本文抛弃任何有关位移或应力模式的假设,在柱坐标系下对圆柱型正交异性体建立其状态方程。对层合圆柱厚壳利用Cayley-Hamilton定理一次求解全部未知量。无论层数多少,最后都归结为求解三元一次代数方程组。此解满足所有弹性力学方程并计及了全部弹性常数,可得到任意需要的精度。
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| 关 键 词： | 圆柱型正交异性体 层合圆柱厚壳 状态方程 Cayley-Hamilion定理 |
A ANALYTICAL SOLUTION FOR THE STATICS AND DYNAMICS OF THICK LAMINATED ORTHOTROPIC CIRCULAR CYLINDRICAL SHELL |
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| Fan Jiarang. A ANALYTICAL SOLUTION FOR THE STATICS AND DYNAMICS OF THICK LAMINATED ORTHOTROPIC CIRCULAR CYLINDRICAL SHELL[J]. Journal of Hefei University of Technology(Natural Science), 1990, 0(1) |
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| Authors: | Fan Jiarang |
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| Affiliation: | Fan Jiarang |
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| Abstract: | Giving up any assumptions about displacement models and stress distribution, the state equatiens for cylindrical anisotropy are established in a cylindrical coordinate system .All of the unknown quantities for the thick laminated circular cylindrical shell can be solved by means of Cayley-Hamilton theorem. No matter how many layers are Considered , the Calculation always leads to solving a set of linear algebraic equations of 3rd order .Every equation of elasticity can be satisfied and all the elastic constants can also be taken into account . Furthermore . the arbitrary Precis -ion that we need can be obtained . |
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| Keywords: | Cylindrical anisotropy thick laminated circular cylindrieal shell state equations Cayley-Hamilton theorem. |
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