On Optimum Truss Layout by a Homogenization Method
On Optimum Truss Layout by a Homogenization Method
复制标题
均化法优化桁架布置
DOI：
10.1115/1.2919200
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发表时间：
1993
影响因子：
3.3
通讯作者：
B. Belding
中科院分区：
文献类型：
--
作者：
A. Diaz;B. Belding
将均匀化理论应用于桁架布局优化问题，为解决桁架布局优化问题提供了一种新的途径。与传统的桁架拓扑优化方法不同，新方法不需要先验地定义容许连接点集。这代表了一个很大的优势，其他战略，可能会无意中排除最佳解决方案，规定一组连接点，这是不一致的最佳连接。而均匀化方法是基于二维平面弹性力学方程的求解，其解仅为类桁架结构。这些解决方案和最佳桁架结构之间的关系进行了检查。
A new approach to the truss layout optimization problem is possible by using homogenization theory. Unlike traditional methods for optimization of truss topology, the new method does not require that the set of admissible connecting points be defined a-priori. This represents a great advantage over other strategies, which may inadvertently exclude optimum solutions by prescribing a set of connecting points that is inconsistent with the optimum connectivity. The homogenization approach, however, is based on the solution of the equations of plane elasticity over a two dimensional domain and its solutions are only truss-like structures. The relationship between these solutions and optimum truss structures is examined.