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Topology optimization
of geometrically nonlinear structures tracing given
load-displacement curves
Gil Ho Yoon, Jin Yee Noh and Yoon Young Kim |
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Vol. 6 (2011), No. 1-4, 605–625
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Abstract |
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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
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Milestones
Received: 31 March 2010
Revised: 1 November 2010
Accepted: 2 November 2010
Published: 28 June 2011
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Authors |
| Gil Ho Yoon | |
| Department of Mechanical
Engineering Hanyang University 222 Wangsimni-ro, Seongdong-gu Seoul 133-791 South Korea |
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| Jin Yee Noh | |
| School of Mechanical
Engineering Kyungpook National University South Korea |
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| 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 |
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