Sizing optimization of truss structures by method of centers and force formulation

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Farshi, Behrooz¹  Alinia-ziazi, Ali¹ 

[1] Iran Univ Sci & Technol, Dept Mech Engn, Tehran 16846, Iran

关键词: Force method;    Center points;    Inscribed hyperspheres;    Trusses;    Minimum weight;    Nonlinear programming;   

DOI  :  10.1016/j.ijsolstr.2010.05.009

来源: Elsevier

【 摘 要 】

This paper describes a new approach to optimum weight design of truss structures. The force method is incorporated in an optimization algorithm based on the method of center points. Design variables are the member cross-sectional areas and the redundant forces evaluated for each independent loading condition acting on the structure. The optimization method utilizes the largest hyperspheres inscribed within the feasible space. The method of hyperspheres has been enhanced here to handle the compatibility equality constraints as well. By including the analysis step in the optimization cycle there is no longer the need to perform separate structural analyses thus saving computation time. The viability and efficiency of the proposed method are demonstrated for truss structures subject to multiple loading conditions and constraints on member stresses, nodal displacement and minimum gage. Numerical results are compared with those reported in the literature. (C) 2010 Elsevier Ltd. All rights reserved.

【 授权许可】

Free