Evolutionary Crashworthiness Topology Optimization of Thin-Walled Structures

A basis for most of the state-of-the-art methods for crashworthiness topology optimization form voxel elements, being three-dimensional, regular brick finite elements. Such voxel-based optimization techniques lead to creation of so-called zigzag structures that are used as a reference for positioning of the structural beams. On the other hand, important vehicle body components are made of thin-walled sheet metal structures and the use of an optimized design obtained from any voxel-based optimization method as an inspiration for the final thin-walled structure is questionable and requires considerable manual post-processing. In this paper we propose a novel approach using evolutionary algorithms for optimization of thin-walled structures. For evaluation of the method, a 2D transverse bending of a rib-reinforced thin-walled structure is considered. A state-of-the-art Covariance Matrix Adaptation Evolution Strategy (CMA-ES), combined with a suitable representation, is used for optimization of the layout of the reinforcing ribs. The results show that evolutionary optimization algorithms can be efficiently used for topology optimization of crash-loaded thin-walled structures.

[1]  Singiresu S. Rao Engineering Optimization : Theory and Practice , 2010 .

[2]  Nikolaus Hansen,et al.  The CMA Evolution Strategy: A Comparing Review , 2006, Towards a New Evolutionary Computation.

[3]  Gyung-Jin Park,et al.  Technical overview of the equivalent static loads method for non-linear static response structural optimization , 2011 .

[4]  Chandan Kumar Mozumder,et al.  Topometry optimization of sheet metal structures for crashworthiness design using hybrid cellular automata , 2010 .

[5]  John E. Renaud,et al.  Crashworthiness Design Using Topology Optimization , 2009 .

[6]  Claus B. W. Pedersen,et al.  Topology optimization design of crushed 2D-frames for desired energy absorption history , 2003 .

[7]  Anders Klarbring,et al.  Topology optimization of frame structures with flexible joints , 2003 .

[8]  Fabian Duddeck,et al.  Topology optimization for crashworthiness of thin-walled structures under axial impact using hybrid cellular automata , 2016 .

[9]  Markus Olhofer,et al.  Evolutionary Level Set Method for Crashworthiness Topology Optimization , 2016 .

[10]  Christophe Bastien,et al.  Effects of roof crush loading scenario upon body in white using topology optimisation , 2012 .

[11]  ParkGyung-Jin Technical overview of the equivalent static loads method for non-linear static response structural optimization , 2011 .

[12]  Andrea Baldini,et al.  High performance automotive chassis design: a topology optimization based approach , 2011 .

[13]  Axel Schumacher,et al.  Graph and heuristic based topology optimization of crash loaded structures , 2013 .

[14]  Markus Olhofer,et al.  Neuro-evolutionary topology optimization of structures by utilizing local state features , 2014, GECCO.

[15]  Nikolaus Hansen,et al.  Completely Derandomized Self-Adaptation in Evolution Strategies , 2001, Evolutionary Computation.

[16]  Carlos A. Coello Coello,et al.  THEORETICAL AND NUMERICAL CONSTRAINT-HANDLING TECHNIQUES USED WITH EVOLUTIONARY ALGORITHMS: A SURVEY OF THE STATE OF THE ART , 2002 .

[17]  Petros Koumoutsakos,et al.  Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matrix Adaptation (CMA-ES) , 2003, Evolutionary Computation.

[18]  Stephan Hunkeler,et al.  Topology Optimisation in Crashworthiness Design via Hybrid Cellular Automata for Thin Walled Structures. , 2014 .