Minimum weight

About: Minimum weight is a research topic. Over the lifetime, 2002 publications have been published within this topic receiving 28244 citations.

Topology optimization for minimum weight with compliance and simplified nominal stress constraints for fatigue resistance

Abstract: This work investigates a simplified approach to cope with the optimization of preliminary design of structures under local fatigue constraints along with a global enforcement on the overall compliance. The problem aims at the minimization of the weight of linear elastic structures under given loads and boundary conditions. The expected stiffness of the optimal structure is provided by the global constraint, whereas a set of local stress---based constraints ask for a structure to be fatigue resistant. A modified Goodman fatigue strength comparison is implemented through the same formalism to address pressure---dependent failure in materials as in Drucker---Prager strength criterion. As a simplification, the Sines approach is used to define the equivalent mean and alternating stresses to address the fatigue resistance for an infinite life time. Sines computation is based on the equivalent mean and alternate stress depending on the invariants of the stress tensor and its deviatoric part, respectively. The so---called singularity phenomenon is overcome by the implementation of a suitable qp-relaxation of the equivalent stress measures. Numerical examples are presented to illustrate the features of the achieved optimal layouts and of the proposed algorithm.

Local Search for Minimum Weight Dominating Set with Two-Level Configuration Checking and Frequency Based Scoring Function

Abstract: The Minimum Weight Dominating Set (MWDS) problem is an important generalization of the Minimum Dominating Set (MDS) problem with extensive applications. This paper proposes a new local search algorithm for the MWDS problem, which is based on two new ideas. The first idea is a heuristic called two-level configuration checking (CC2), which is a new variant of a recent powerful configuration checking strategy (CC) for effectively avoiding the recent search paths. The second idea is a novel scoring function based on the frequency of being uncovered of vertices. Our algorithm is called CC2FS, according to the names of the two ideas. The experimental results show that, CC2FS performs much better than some state-of-the-art algorithms in terms of solution quality on a broad range of MWDS benchmarks.

Structural optimization and design based on a reliability design criterion

Abstract: The classical approach to design using a safety factor to represent conservatism often results in unnecessary weight and cost. A rational basis for optimization studies can be obtained by relating safety factor to reliability. The required statistics of the safety factor can be generated by Monte-Carlo and linear perturbation methods. Application of the perturbation method is discussed herein for assignment of design allowables, selection of design materials, and sizing structures for minimum weight.

New type of optimality criteria method in case of probabilistic loading conditions

Abstract: The aim of this paper is to introduce a new type of stochastic optimal topology design method where the loads are given randomly. The standard stochastic mathematical programming problem is based on penalized minimum weight design procedure subjected to a probabilistic compliance constraint due to the loading uncertainties. If the probability of the compliance constraint is given by the use of recommendation of Prekopa this probabilistic expression can be substituted with an equivalent one and used as a deterministic constraint in the original problem. In the numerical method, optimality criteria procedure is applied. The application is illustrated by numerical examples.