Vol. 6, No. 1-4, 2011

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ISSN: 1559-3959
Topology optimization of geometrically nonlinear structures tracing given load-displacement curves

Gil Ho Yoon, Jin Yee Noh and Yoon Young Kim

Vol. 6 (2011), No. 1-4, 605–625
Abstract

To design structures involving nonlinear structural responses by the topology optimization method is still a challenging problem. Here, the structural topology optimization tracing nonlinear load-displacement curves is investigated by employing the element connectivity parametrization formulation as it is expected to deal with low-density element related numerical instability more effectively than the element density based formulation. After the formulation is given in the setting of the element connectivity parametrization, the sensitivity analysis for load-displacement curve tracing problems implemented with a discretized finite element model is presented. Several numerical problems are considered to address issues occurring in the topology optimization of nonlinear structures. Finally, the findings from this investigation on the topology optimization tracing nonlinear load-displacement trajectories and future work are summarized as concluding remarks.

Keywords
topology optimization, element connectivity parametrization method, hardening or softening load-displacement trajectory
Milestones
Received: 31 March 2010
Revised: 1 November 2010
Accepted: 2 November 2010
Published: 28 June 2011
Authors
Gil Ho Yoon
Department of Mechanical Engineering
Hanyang University
222 Wangsimni-ro, Seongdong-gu
Seoul 133-791
South Korea
Jin Yee Noh
School of Mechanical Engineering
Kyungpook National University
South Korea
Yoon Young Kim
Multiscale Design Center and Integrated Design and Analysis of Structures Laboratory
School of Mechanical and Aerospace Engineering
Seoul National University
Kwanak-Gu San 56-1
Seoul 151-742
South Korea