非线性文克尔地基上四边自由板弯曲问题的伽辽金解  

The bending of rectangle thin plates with four free edges on nonlinear Winkler foundation

作　　者：徐晓龙[1] 何芳社[1] 郭春霞[1] 

机构地区：[1]西安建筑科技大学理学院,陕西西安710055

出　　处：《山东理工大学学报（自然科学版）》2014年第2期75-78,共4页Journal of Shandong University of Technology:Natural Science Edition

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.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.

关 键 词：非线性弹性地基 矩形薄板 伽辽金法 

分 类 号：TU442[建筑科学—岩土工程]