| 非线性弹性基础上矩形板热后屈曲分析 |
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| 引用本文： | 沈惠申,张建武.非线性弹性基础上矩形板热后屈曲分析[J].应用力学学报,1997,14(1):29-35. |
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| 作者姓名： | 沈惠申 张建武 |
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| 作者单位： | 上海交通大学 |
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| 摘 要： | 给出非线性弹性基础上矩形板在均匀和非均匀（抛物型）热分布作用下的后屈曲分析。采用摄动——Ｇａｌｅｒｋｉｎ混合法给出完善和非完善矩形板热屈曲载荷和热后屈曲平衡路径。数值计算结果表明，非线性弹性基础上矩形板具有不稳定的热后屈曲平衡路径，且对初始几何缺陷是敏感的
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| 关 键 词： | 结构稳定性 热后屈曲 非线性弹性基础 矩形板 摄动——Galerkin混合法 |
Thermal Postbuckling Analysis of Rectangular plates on Nonlinear Elastic Foundations |
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| Shen Huishen,Zhang Jianwu.Thermal Postbuckling Analysis of Rectangular plates on Nonlinear Elastic Foundations[J].Chinese Journal of Applied Mechanics,1997,14(1):29-35. |
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| Authors: | Shen Huishen Zhang Jianwu |
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| Institution: | Shaghai Jiaotong University |
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| Abstract: | A thermal postbuckling analysis is presented for a rectangular plate subjected to uniform and nonuniform (parabolic) temperature loading and resting on a "softening" nonlinear elastic foundation. The initial geometrical imperfection of the plate is taken into account. The analysis uses a mixed Galerkin perturbation technique to determine thermal buckling loads and postbuckling equilibrium paths. Numerical examples are presented that relate to the performances of perfect and imperfect rectangular plates. They show that thermal loaded plate resting on a "softening" nonlinear elastic foundation is an imperfection sensitive structure, which has an unstable postbuckling equilibrium path. |
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| Keywords: | structural stability thermal postbuckling rectangular plate nonlinear elastic foundation Galerkin perturbation method |
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