Minimum stress optimal design with the level set method
نویسندگان
چکیده
منابع مشابه
Minimum stress optimal design with the level set method
This paper is devoted to minimum stress design in structural optimization. We propose a simple and efficient numerical algorithm for shape and topology optimization based on the level set method coupled with the topological derivative. We compute a shape derivative, as well as a topological derivative, for a stress-based objective function. Using an adjoint equation we implement a gradient algo...
متن کاملTopology optimization for minimum stress design with the homogenization method
This paper is devoted to minimum stress design in structural optimization. The homogenization method is extended to such a framework and yields an efficient numerical algorithm for topology optimization. The main idea is to use a partial relaxation of the problem obtained by introducing special microstructures which are sequential laminated composites. Indeed, the so-called corrector terms of s...
متن کاملDiameter Two Graphs of Minimum Order with Given Degree Set
The degree set of a graph is the set of its degrees. Kapoor et al. [Degree sets for graphs, Fund. Math. 95 (1977) 189-194] proved that for every set of positive integers, there exists a graph of diameter at most two and radius one with that degree set. Furthermore, the minimum order of such a graph is determined. A graph is 2-self- centered if its radius and diameter are two. In this paper for ...
متن کاملOptimal selection of topologies for the minimum-weight design of continuum structures with stress constraints
This paper presents a method for assisting the optimal selection of topologies for the minimum-weight design of continuum structures subject to stress constraints by using the performance index (PI ). A performance index is developed for evaluating the efficiency of structural topologies based on the scaling design approach. This performance index is incorporated in the evolutionary structural ...
متن کاملLevel set based method for design of compliant mechanisms
In the context of structural optimization, we propose two natural extensions of the level set method for the design of compliant mechanisms. Two new objective functions are introduced, well suited to the automatic design of compliant mechanisms, and a strategy for the design of mechanisms adapted to multiple loads is proposed. This work is illustrated with several numericals examples. RÉSUMÉ. D...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Engineering Analysis with Boundary Elements
سال: 2008
ISSN: 0955-7997
DOI: 10.1016/j.enganabound.2007.05.007