Crashworthiness Optimization of Nested and Concentric Circular Tubes Using Response Surface Methodology and Genetic Algorithm

Abstract

In this study crashworthiness optimization of nested and concentric circular tubes under impact loading is performed by coupling Finite Element model, Response Surface Models and Genetic Algorithm. Specific Energy Absorption SEA and Crash Force Efficiency CFE are used in crashworthiness optimization since these criteria are important indicators for evaluating crashworthiness performance. Length and thickness of three concentric tubes as well as radius of one tube are adopted as design variables which are effective parameters on SEA and CFE. To reduce the computational cost of the optimization procedure, simple and computationally cheap Response Surface Models are created to replace finite element analyses in further calculations. The Non-dominated Sorting Genetic Algorithm-II NSGAII is applied to obtain the Pareto optimal solutions. Optimization results are presented for different selected designs that indicate relative importance of multi-objective functions. Results show that the total weight of the vehicles can be reduced by using nested tubes comparing to single tubes with identical masses. These designs can be adopted for use in practice.

Impact behavior of triggered and non-triggered crash tubes with auxetic lattices

“…For this purpose, geometrical modifications on tubes, various cross section types and material types have been examined to obtain better designs. For example, Usta et al (2015Usta et al ( , 2017Usta et al ( and 2018) studied on stepped and concentric circular crash tubes under axial impact loading by using numerical, experimental and optimization techniques. Eyvazian et al (2014) investigated the effects of corrugations on the deformation behavior, energy absorption, and failure mode of circular aluminum tube and show that corrugated tubes provided higher crashworthiness characteristics.…”

Mathematical models for assessment of vehicle crashworthiness: a review

“…Physical crash test data are used to fit the curves and determine piecewise linear spring deformation and damper characteristics. Usta et al [77] used a genetic algorithm and RSM to design crashworthy concentric circular tubes which crush on impact absorbing the impact energy (Figure 6).…”

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“…When the CFE (crucial feedback with expectations [11,12]) algorithm is used, z-tds of a number of transmissions of voice messages in the air subsystem is defined as:…”