Study on multi-objective optimization problem of nonlinear steel truss considering natural oscillation frequency

Abstract

Steel truss structures, known for their high strength and load-bearing capacity, have become a popular choice in civil engineering projects. This paper presents an optimization method for steel trusses subjected to various load combinations while considering constraints related to natural frequency. The primary objectives investigated are the total mass and the natural frequency of the structure. The constraints include requirements for strength, usage, and natural frequency to ensure safety and efficiency. To achieve the optimization, two algorithms, NSGA-II and GDE3, were applied to the formulated problem. The study uses a flat truss consisting of 10 members as a case study. The results demonstrate that both algorithms effectively address the optimization problem, showcasing their ability to enhance
the design of nonlinear steel truss structures.

Keywords: Steel truss; optimization; multi-objective; advanced analysis; GDE3; NSGA.