An Effective Couple Method for Reliability-Based Multi-Objective Optimization of Truss Structures with Static and Dynamic Constraints

Abstract

This paper proposes an effective couple method for solving reliability-based multi-objective optimization problems of truss structures with static and dynamic constraints. The proposed coupling method integrates a single-loop deterministic method (SLDM) into the nondominated sorting genetic algorithm II (NSGA-II) algorithm to give the so-called SLDM-NSGA-II. Thanks to the advantage of SLDM, the probabilistic constraints are treated as approximating deterministic constraints. And therefore the reliability-based multi-objective optimization problems can be transformed into the deterministic multi-objective optimization problems of which the computational cost is reduced significantly. In these reliability-based multi-objective optimization problems, the conflicting objective functions are to minimize the weight and the displacements of the truss. The design variables are cross-section areas of the bars and contraints include static and dynamic constraints. For reliability analysis, the effect of uncertainty of parameters such as force, added mass in the nodes, material properties and cross-section areas of the bars are taken into account. The effectiveness and reliability of the proposed method are demonstrated through three benchmark-type truss structures including a 10-bar planar truss, a 72-bar spatial truss and a 200-bar planar truss. Moreover, the influence of parameters on the reliability-based Pareto optimal fronts is also carried out.

Stochastic Reliability-Based Design Optimization Framework for the Steel Plate Girder with Corrugated Web Subjected to Corrosion

“…An acceptable contrast between the efficiency of deterministic and reliability optimization is given in [ 4 ] and an exhaustive review of the concepts of RBDO is available [ 5 ] or in [ 6 ]. RBDO is well researched, especially for steel truss structures e.g., [ 7 , 8 ], and frames e.g., [ 9 , 10 ], where the computation effort of each optimization loop is acceptable. They are not so common in more complex problems involving the plate, shell, or composite structures, where the computation is much more demanding and the amount of strength and serviceability checks much higher; such construction is considered in this study.…”

Grid Feature-Based Weighted Simulation Method for Multi-Objective Reliability-Based Design Optimization

“…Integrating FORM into the multi-objective genetic algorithm (MOGA), Lim et al [34] conducted the MORBDO of an engine mounting system. Vo-Duy et al [35] developed a MORBDO framework using NSGA-II and a single-loop deterministic method (SLDM) for truss structures. Jiang et al [36] proposed a MORBDO approach of a control arm using NSGA-II and MCS method.…”