Abstract
In this chapter, we discuss some extensions to topology optimization methods for designing compliant mechanisms. The computational efficiency of level set-based topology optimization methods and geometric nonlinearity-, reliability- and multimaterial-based design problems, are discussed in detail. Some benchmark design problems are used to demonstrate the validity of the proposed methods.
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References
Allen, M., Raulli, M., Maute, K., Frangopol, D.M.: Reliability-based analysis and design optimization of electrostatically actuated mems. Comput. Structures 82(13), 1007–1020 (2004)
Bruns, T.E., Tortorelli, D.A.: Topology optimization of non-linear elastic structures and compliant mechanisms. Comput. Methods Appl. Mech. Eng. 190(26), 3443–3459 (2001)
Challis, V.J.: A discrete level-set topology optimization code written in Matlab. Structural Multidisciplinary Optimization 41(3), 453–464 (2010)
Du, J., Sun, C.: Reliability-based vibro-acoustic microstructural topology optimization. Structural Multidisciplinary Optimization 55(4), 1195–1215 (2017)
Jalalpour, M., Tootkaboni, M.: An efficient approach to reliability-based topology optimization for continua under material uncertainty. Structural Multidisciplinary Optimization 53(4), 759–772 (2016)
Jiang, L., Chen, S.: Parametric structural shape & topology optimization with a variational distance-regularized level set method. Comput. Methods Appl. Mech. Eng. 321, 316–336 (2017)
Joo, J., Kota, S.: Topological synthesis of compliant mechanisms using nonlinear beam elements. Mech. Based Des. Structures Mach. 32(1), 17–38 (2004)
Kharmanda, G., Olhoff, N., Mohamed, A., Lemaire, M.: Reliability-based topology optimization. Structural Multidisciplinary Optimization 26(5), 295–307 (2004)
Li, Z., Zhang, X.: Reliability-based topology optimization of compliant micro-gripper with geometrical nonlinearity. J. South China Univ. Technol. (Natural Science Edition) 8, 023 (2008)
Li, Z., Zhang, X.: Topology optimization of multiple inputs and outputs compliant mechanisms with geometrically nonlinearity. Chin. J. Mech. Eng. 45(1), 180–188 (2009)
Luo, J., Luo, Z., Chen, L., Tong, L., Wang, M.Y.: A semi-implicit level set method for structural shape and topology optimization. J. Comput. Phys. 227(11), 5561–5581 (2008)
Luo, Y., Kang, Z., Luo, Z., Li, A.: Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model. Structural Multidisciplinary Optimization 39(3), 297–310 (2009)
Maute, K., Frangopol, D.M.: Reliability-based design of mems mechanisms by topology optimization. Comput. Struct. 81(8), 813–824 (2003)
Mei, Y., Wang, X.: A level set method for structural topology optimization and its applications. Adv. Eng. Softw. 35(7), 415–441 (2004)
Pedersen, C.B., Buhl, T., Sigmund, O.: Topology synthesis of large-displacement compliant mechanisms. Int. J. Numer. Meth. Eng. 50(12), 2683–2705 (2001)
Saxena, A., Ananthasuresh, G.: Topology synthesis of compliant mechanisms for nonlinear force-deflection and curved path specifications. J. Mech. Des. 123(1), 33–42 (2001)
Sigmund, O.: A 99 line topology optimization code written in Matlab. Structural Multidisciplinary Optimization 21(2), 120–127 (2001)
Silva, M., Tortorelli, D.A., Norato, J.A., Ha, C., Bae, H.R.: Component and system reliability-based topology optimization using a single-loop method. Structural Multidisciplinary Optimization 41(1), 87–106 (2010)
Wang, M.Y., Wang, X., Guo, D.: A level set method for structural topology optimization. Comput. Methods Appl. Mech. Eng. 192(1), 227–246 (2003)
Wang, X., Wang, M., Guo, D.: Structural shape and topology optimization in a level-set-based framework of region representation. Structural Multidisciplinary Optimization 27(1–2), 1–19 (2004)
Zhan, J., Zhang, X.: Topology optimization of compliant mechanisms with geometrical nonlinearities using the ground structure approach. Chin. J. Mech. Eng. 24(2), 1 (2011)
Zhang, X., Hu, K., Wang, N.E.A.: Multi-objective topology optimization of multiple materials compliant mechanisms based on parallel strategy. J. Mech. Eng. (in Chinese) 52, 1–8 (2016)
Zhang, X., Ouyang, G.: A level set method for reliability-based topology optimization of compliant mechanisms. Sci. China Ser. E Technol. Sci. 51(4), 443–455 (2008)
Zhou, M., Wang, M.Y.: A semi-Lagrangian level set method for structural optimization. Structural Multidisciplinary Optimization 46(4), 487–501 (2012)
Zhu, B., Zhang, X.: A new level set method for topology optimization of distributed compliant mechanisms. Int. J. Numer. Meth. Eng. 91(8), 843–871 (2012)
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Zhang, X., Zhu, B. (2018). Extensions. In: Topology Optimization of Compliant Mechanisms. Springer, Singapore. https://doi.org/10.1007/978-981-13-0432-3_5
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DOI: https://doi.org/10.1007/978-981-13-0432-3_5
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