| 用复变量表示的环壳几何非线性方程及其摄动解 |
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| 引用本文： | 吴怡,夏之熙,张维. 用复变量表示的环壳几何非线性方程及其摄动解[J]. 力学学报, 1988, 0(5) |
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| 作者姓名： | 吴怡 夏之熙 张维 |
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| 作者单位： | 清华大学(吴怡，夏之熙)，清华大学(张维) |
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| 摘 要： | 本文从小应变,中小转动问题的弹性薄壳一般方程出发,导出用复未知函数表示的非线性的环壳轴对称变形的基本方程,并用摄动方法分別求解了整环壳和开口环壳问题.所得到的结果与其他作者用数值方法得到的结果吻合很好。
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| 关 键 词： | 环壳 非线性 复变量方法 摄动 |
GEOMETRICALLY NONLINEAR EQUATION OF TORUS IN COMPLEX VARIABLE AND SOLUTIONS BY PERTURBATION METHOD |
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| Wu Yi,Xia Zhixi,Zang Wei. GEOMETRICALLY NONLINEAR EQUATION OF TORUS IN COMPLEX VARIABLE AND SOLUTIONS BY PERTURBATION METHOD[J]. chinese journal of theoretical and applied mechanics, 1988, 0(5) |
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| Authors: | Wu Yi Xia Zhixi Zang Wei |
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| Affiliation: | Tsinghua University |
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| Abstract: | From the general equations of thin shells ef small strain accompanied with moderate rotation, the nonlinear defferential equation expressed in complex variable is derived for axisymmetric deformation of toroidal shells. The perturbation method is used to obtain solutions of complete torus in Fourier series and open one in power series. The results shown in figures and tables agree with results due to other authors very well. |
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| Keywords: | toroidal shell nonlinear complex variable perturbation. |
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