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Steel and Composite Structures Volume 27, Number 2, April25 2018 , pages 177-184 DOI: https://doi.org/10.12989/scs.2018.27.2.177 |
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Topology optimization for thin plate on elastic foundations by using multi-material |
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Thien Thanh Banh, Soomi Shin and Dongkyu Lee
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| Abstract | ||
| This study contributes to evaluate multiphase topology optimization design of plate-like structures on elastic foundations by using classic plate theory. Multi-material optimal topology and shape are produced as an alternative to provide reasonable material assignments based on stress distributions. Multi-material topology optimization problem is solved through an alternative active-phase algorithm with Gauss-Seidel version as an optimization model of optimality criteria. Stiffness and adjoint sensitivity formulations linked to thin plate potential strain energy are derived in terms of multiphase design variables and Winkler-Pasternak parameters considering elastic foundation to apply to the current topology optimization. Numerical examples verify efficiency and diversity of the present topology optimization method of elastic thin plates depending on multiple materials and Winkler-Pasternak parameters with the same amount of volume fraction and total structural volume. | ||
| Key Words | ||
| topology optimization; multiphase; thin plate; adjoint sensitivity; elastic foundations; Winkler-Pasternak model | ||
| Address | ||
| (1) Thien Thanh Banh, Dongkyu Lee: Department of Architectural Engineering, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul 05006, Republic of Korea; (2) Soomi Shin: Research Institute of Industrial Technology, Pusan National University, 2 Busandaehak-ro 63, Geumjeong-gu, Busan 46241, Republic of Korea. | ||