Domain Optimization Analysis in Linear Elastic Problems : Approach Using Traction Method
Domain Optimization Analysis in Linear Elastic Problems : Approach Using Traction Method
复制标题
线性弹性问题中的域优化分析：使用牵引法的方法
DOI：
10.1299/jsmea1993.39.2_272
复制
发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Z. Wu
中科院分区：
文献类型：
--
作者：
H. Azegami;Z. Wu
我们提出了一个数值分析和结果，使用牵引法优化域的定义方面的线弹性问题。在本文中，我们考虑的应用程序的牵引方法，这是提出作为解决区域优化问题的椭圆边值问题。考虑了平均顺应性的最小化。利用拉格朗日乘子法，从最优性准则出发，得到了这些区域优化问题的形状梯度函数。在这个过程中，我们考虑的变化，在表面上的力作用在边界和刚度函数的变化和体力分布在域中。我们得到了一个无限大的板与孔和矩形板在两端固定。
We present a numerical analysis and results using the traction method for optimizing domains in terms of which linear elastic problems are defined. In this paper we consider the application of the traction method, which was proposed as a solution to domain optimization problems in elliptic boundary value problems. The minimization of the mean compliance is considered. Using the Lagrange multiplier method, we obtain the shape gradient functions for these domain optimization problems from the optimality criteria. In this process we consider variations in the surface force acting on the boundary and variations in the stiffness function and the body force distributed in the domain. We obtain solutions for an infinite plate with a hole and a rectangular plate clamped at both ends.