Abstract
A mechanism is designed to transform forces and/or displacements from an input to one or multiple outputs. This transformation is essentially ruled by the kinematics, i.e. the defined ratio between input and output displacements. Although the kinematics forms the basis for the design of conventional mechanisms, some common approaches for the topology and shape optimization of compliant mechanisms do not explicitly include the kinematics in their optimization formulation. The kinematics is more or less an outcome of the optimization process. A defined kinematics can only be realized by iteratively adjusting process-specific optimization parameters within the optimization formulation. This paper presents an optimization formulation that solves the aforementioned problem. It bases on one of the authors former publications on the design of compliant mechanisms with selective compliance. The formulation is derived by means of an intensive workup of the design problem of compliant mechanisms. The method is validated for a common design example: a force inverter.
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Ananthasuresh GK, Kota S, Kikuchi N (1994) Strategies for systematic synthesis of compliant MEMS. In: Proceedings of the 1994 ASME winter annual meeting, pp 677–686
Bendsøe MP, Sigmund O (2003) Topology optimization: theory, methods and applications. Springer-Verlag, New York
Chen BC, Silva EC, Kikuchi N (2001) Advances in computational design and optimization with application to MEMS. Int J Numer Meth Eng 52(1–2):23–62
Chen S, Wang MY (2007) Designing distributed compliant mechanisms with characteristic stiffness. In: ASME 2007 international design engineering technical conferences and computers and information in engineering conference, American Society of Mechanical Engineers, pp 33–45
Deepak SR, Dinesh M, Sahu D, Jalan S, Ananthasuresh GK (2008) A comparative study of the formulations for topology optimization of compliant mechanisms. In: ASME 2008 international design engineering technical conferences and computers and information in engineering conference, American Society of Mechanical Engineers, pp 205–216
Frecker M, Kikuchi N, Kota S (1999) Topology optimization of compliant mechanisms with multiple outputs. Struct Optim 17(4):269–278
Hasse A, Campanile LF (2009) Design of compliant mechanisms with selective compliance. Smart Mater Struct 18(11):115016
Hetrick JA, Kota S (1999) An energy formulation for parametric size and shape optimization of compliant mechanisms. J Mech Des 121(2):229–234
Kota S, Joo J, Li Z, Rodgers SM, Sniegowski J (2001) Design of compliant mechanisms: applications to MEMS. Analog Integr Circ Sig Process 29(1–2):7–15
Rahmatalla S, Swan CC (2005) Sparse monolithic compliant mechanisms using continuum structural topology optimization. Int J Numer Meth Eng 62(12):1579–1605
Shield RT, Prager W (1970) Optimal structural design for given deflection. Zeitschrift für Angew Math und Phys ZAMP 21(4):513–523
Sigmund O (1997) On the design of compliant mechanisms using topology optimization. J Struct Mech 25(4):493–524
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Hasse, A., Franz, M., Mauser, K. (2017). Synthesis of Compliant Mechanisms With Defined Kinematics. In: Zentner, L., Corves, B., Jensen, B., Lovasz, EC. (eds) Microactuators and Micromechanisms. Mechanisms and Machine Science, vol 45. Springer, Cham. https://doi.org/10.1007/978-3-319-45387-3_20
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DOI: https://doi.org/10.1007/978-3-319-45387-3_20
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