Optimal design of structures with multiple natural frequency constraints using a hybridized BB-BC/Quasi-Newton algorithm

Authors

  • Ali Kaveh
    Affiliation

    Center of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology

  • Vahid Reza Mahdavi
    Affiliation

    School of Civil Engineering, Iran University of Science and Technology

https://doi.org/10.3311/PPci.2139

Abstract

A hybridization of the Quasi-Newton with Big Bang-Big Crunch (QN-BBBC) optimization algorithm is proposed to find the optimal weight of the structures subjected to multiple natural frequency constraints. The algorithm is based on hybridizing a mathematical algorithm (quasi-Newton) for local search and a meta-heuristic algorithm (Big Bang-Big Crunch) for global search, and to help to leave the traps. Four examples are proposed for the optimization of trusses and two examples are studied for the optimization of frames with frequency constraints. The examples are widely reported and used in the related literature as benchmarks. The numerical results reveal the robustness and high performance of the suggested methods for the structural optimization with frequency constraints.

Keywords:

frequency constraint structural optimization, hybridized quasi Newton and Big Bang-Big Crunch algorithms, truss and frame structures

Published Online

2013-06-03

How to Cite

Kaveh, A., Mahdavi, V. R. “Optimal design of structures with multiple natural frequency constraints using a hybridized BB-BC/Quasi-Newton algorithm”, Periodica Polytechnica Civil Engineering, 57(1), pp. 27–38, 2013. https://doi.org/10.3311/PPci.2139

Issue

Vol. 57 No. 1 (2013)

Section

Research Article