Optimization of Load Uniformity for Triangular Tube Using Non-Linear Programming

Authors: Sun, J.¹; Ekwaro-Osire, S.²

Source: Multidiscipline Modeling in Materials and Structures, Volume 3, Number 1, 2007 , pp. 121-140(20)

Buy & download fulltext article:

Price: $35.00 plus tax (Refund Policy)

Abstract:

The paper focuses on two topics, optimizing the proposed triangular tube for crashworthiness and solving a non-linear programming problem by a "mapping" technique, which the condition of Lagrange Multiplier Theorem is violated within the feasible region. The purpose of studying optimized triangular tubes is to prepare them for redesigning vehicle bumpers. The dimension optimization of triangular tube is carried out for its thickness and lateral length, based on the accomplished shape optimization under an impact. The load uniformity is taken as the objective function, which is defined as the ratio of maximum peak force and means crushing force. Meanwhile the mean crushing force and absorbed energy are treated as constraints. Based on FEA analysis, the regression functions for load uniformity, mean crushing force, and absorbed energy are formulated by RSM. The result has shown that triangular tube possesses an optimization region, under which the better-integrated property can be achieved to supply a more safety environment for vehicular occupants.

Keywords: OPTIMIZATION; NON-LINEAR PROGRAMMING; MAPPING; TRIANGULAR TUBE; LOAD UNIFORMITY

Document Type: Research article

DOI: http://dx.doi.org/10.1163/157361107781360077

Affiliations: 1: Energo Engineering, Inc., Houston, TX 79409-3061, USA 2: Department of Mechanical Engineering, Texas Tech University, Lubbock, TX 79409-1021, USA

Publication date: 2007-01-01