In this paper a topology optimization algorithm of thin-walled structural members for crashworthiness is presented. In structural optimization for crashworthiness the response surface method with several design variables is often used. However recent development of computer hardware is making other optimization approaches which require more computer power such as topology optimization practical. In this study a topology optimization algorithm of thin-walled structural members subject to impact loads is presented. As a topology optimization method the density method is used and the work done by the external loads is employed as the object function. In the density method the element density is taken as the design variable and material properties such as Young s modulus, the tangent modulus or the yield stress are assumed to be power functions of it. In this study, we set the design variable not on the element but on the node to avoid the checkerboard pattern. The bilinear shell element, which is widely used for the car crash analysis, is employed in the crash analysis with the explicit time integration scheme. Sensitivity analysis is conducted numerically using the history of nodal displacements calculated by the crash analysis. Then the design variables are updated with the optimality criteria method. Two numerical examples were given. In the first one an axially crashing square tube was optimized and the effect of crashing speed was discussed. In the second example topology optimization of a laterally loaded square tube was done, in which the topology design was compared with that obtained by setting the design variable not on the nodes but on the elements.
Topology optimization of thin-walled structural members for crashworthiness
Optimierung der Topologie dünnwändiger Fahrzeugsbauteile für Kollisionstauglichkeit
2006
7 Seiten, 8 Bilder, 1 Tabelle, 10 Quellen
Conference paper
Storage medium
English
Topology Optimization of Thin-walled Structured Members for Crashworthiness
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