首页> 外文期刊>Engineering analysis with boundary elements >The boundary element method for nonlinear problems
【24h】

The boundary element method for nonlinear problems

机译:非线性问题的边界元方法

获取原文
获取原文并翻译 | 示例
       

摘要

In this paper a boundary-only boundary element method (BEM) is developed for solving nonlinear problems. The presented method is based on the analog equation method (AEM). According to this method the nonlinear governing equation is replaced by an equivalent nonhomogeneous linear new with known fundamental solution and under the same boundary conditions. The solution of the substitute equation is obtained as a sum of the homogeneous solution and a particular one of the nonhomogeneous. The nonhomogeneous term, which is an unknown fictitious domain source distribution, is approximated by a truncated series of radial based functions. Then, using BEM the field function and its derivatives involved in the governing equation are expressed in terms of the unknown series coefficients, which are established by collocating the equation at discrete points in the interior of the domain. Thus, the presented method becomes a boundary method in the sense that only boundary discretization is required. The additional collocation points induced the domain do not spoil the pure BEM character of the method. Numerical results for erection classical nonlinear problems are presented, which validate the effectiveness and the accuracy of the proposed method.
机译:本文提出了一种仅边界边界元方法(BEM)来解决非线性问题。提出的方法基于模拟方程法(AEM)。根据这种方法,非线性控制方程由具有已知基本解且在相同边界条件下的等效非齐次线性新方程代替。替代方程的解是作为齐次解和特定的非齐次解之和而获得的。非均匀项是未知的虚拟域源分布,可以通过一系列基于径向的截断函数来近似。然后,使用BEM,用未知序列系数表示控制方程中涉及的场函数及其导数,该未知序列系数是通过将方程并置在域内部的离散点处而建立的。因此,在仅需要边界离散化的意义上,所提出的方法成为边界方法。引起该域的附加配置点不会破坏该方法的纯BEM特性。给出了安装经典非线性问题的数值结果,验证了所提方法的有效性和准确性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号