• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Composite Structures >A semi-analytical discretization method for the near-field analysis of unsymmetrically laminated multimaterial junctions
【24h】

A semi-analytical discretization method for the near-field analysis of unsymmetrically laminated multimaterial junctions

机译：半对称离散化方法，用于非对称层压多材料结的近场分析

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In the present contribution, the theoretical basics of a novel semi-analytical discretization procedure are described. The method relies on the discretization of the structural situation into an arbitrary number of sectorial elements in which adequate displacement formulations are postulated. Speaking in terms of a cylindrical coordinate system, the sectorial elements are supposed to be of infinite dimensions in the radial direction, hence the actual discretization takes place in the circumferential direction only. While linear shape functions are employed in each of the infinite sectorial elements in the circumferential direction, a set of unknown displacement functions is postulated in each of the resultant interfaces between the individual elements with respect to the radial coordinate. The principle of minimum elastic potential yields the governing Euler-Lagrange equations straightforwardly which allow for closed-form solutions for the unknown interface displacement functions. Since the method yields closed-form solutions for all state variables with respect to the radial coordinate and employs a discretization in the circumferential direction exclusively, we may actually speak of a semi-analytical methodology. Examples are presented for the near-field analysis of unsymmetrically laminated multimaterial notches. The presented semi-analytical method proves to be of high accuracy. Furthermore, while this novel discretization procedure clearly outperforms purely numerical analysis methods like FEM in terms of computational time and effort, it works with comparable accuracy which makes it very attractive for any practical application purpose with involved localization effects where reliable results need to be computed with low computational effort.
机译：在本文中，描述了一种新颖的半分析离散化程序的理论基础。该方法依赖于将结构情况离散化为任意数量的部门要素，并在其中假定适当的位移公式。就圆柱坐标系而言，假定扇形元素在径向方向上具有无限大的尺寸，因此实际的离散化仅在圆周方向上进行。尽管在圆周方向上的每个无限扇形元件中都采用了线性形状函数，但相对于径向坐标，在各个元件之间的每个结果接口中都假定了一组未知的位移函数。最小弹性势的原理直接产生了主导的Euler-Lagrange方程，该方程为未知的界面位移函数提供了封闭形式的解决方案。由于该方法针对径向坐标产生所有状态变量的封闭式解，并且仅在圆周方向上采用离散化，因此我们实际上可以说是一种半分析方法。给出了非对称层压多材料缺口的近场分析示例。所提出的半分析方法被证明是高精度的。此外，尽管这种新颖的离散化程序在计算时间和工作量方面明显优于纯数值分析方法，但它具有相当的精度，这使其对任何实际应用场合都具有极大的吸引力，因为它涉及局部化效应，因此需要计算可靠的结果。计算量少。

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