| 非线性文克尔地基上四边自由板弯曲问题的伽辽金解 |
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| 引用本文： | 徐晓龙,何芳社,郭春霞.非线性文克尔地基上四边自由板弯曲问题的伽辽金解[J].山东理工大学学报,2014(2):75-78. |
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| 作者姓名： | 徐晓龙 何芳社 郭春霞 |
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| 作者单位： | 西安建筑科技大学理学院,陕西西安710055 |
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| 摘 要： | 为了解决传统文克尔地基未考虑非线性的缺陷,通过分段线性逼近的方法来处理实际地基曲线.在此基础上,利用伽辽金法解答了非线性文克尔地基上四边自由矩形板的问题,该方法具有收敛快,误差小的优点.同时计算表明:在使用非线性地基模型后,其结果与线性地基模型的解答有一定的差异,这对实际运用具有一定的参考价值.
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| 关 键 词： | 非线性弹性地基 矩形薄板 伽辽金法 |
The bending of rectangle thin plates with four free edges on nonlinear Winkler foundation |
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| XU Xiao-long,HE Fang-she,GUO Chun-xia.The bending of rectangle thin plates with four free edges on nonlinear Winkler foundation[J].Journal of Shandong University of Technology:Science and Technology,2014(2):75-78. |
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| Authors: | XU Xiao-long HE Fang-she GUO Chun-xia |
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| Affiliation: | (School of Science, Xian University of Architecture and Technology, Xilan 710055, China) |
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| Abstract: | In order to solve the defect that the traditional Winkler does not considere the nonlin-ear, we used piecewise linear approximation method to deal with the actual curve of foundation. On this basis, we used the Galerkin method to solve the problem of the bending of rectangle thin plates with four free edges on nonlinear Winkler foundation with faster convergence and high pre cision. The calculation result obtained from nonlinear foundation model is different from that from linear foundation model. It is valuable in applications. |
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| Keywords: | nonlinear elastic foundation rectangle thin plate Galerkin method |
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