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Design of Compliant Mechanisms with Stress Constraints Using Topology Optimization

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Optimization of Structures and Components

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 43))

Abstract

Compliant mechanisms are mechanical devices that transform or transfer motion, force or energy through a single part. These mechanisms have important applications in micro electromechanical systems (MEMS) and other systems that require great accuracy in motion and micro scale. The compliant mechanisms design is performed by Topology Optimization Method, and the optimization problem is formulated to maximize strain-energy stored by mechanism, eliminating the appearance of hinges. The kinematic behavior of the mechanism is imposed through a set of constraints over some displacement degrees of freedom of interest. The elastic behavior of the compliant mechanisms is imposed using a global stress constraint and some important issues associated to stress parametrization are discussed in the realm of mechanism design. The characteristics and the feasibility of this proposal, as well as the influence of parameters related to the formulation, are presented with the aid of some examples.

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Acknowledgments

All the post-processing images were generated using the free and general pre and post-processing program gmsh [7]. The linear programming problem was solved using the free SLATEC package dsplp [8].

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Authors and Affiliations

  1. State University of Santa Catarina, Joinville, SC, Brazil

    Luís Renato Meneghelli & Eduardo Lenz Cardoso

Authors
  1. Luís Renato Meneghelli
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  2. Eduardo Lenz Cardoso
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Correspondence to Eduardo Lenz Cardoso .

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Editors and Affiliations

  1. Department of Mechanical Engineering Center for Mechanical Sciences, Santa Catarina State University - UDESC Campus Universitário Avelino Marcante, Joinville, Santa Catarina, Brazil

    Pablo Andrés Muñoz-Rojas

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Meneghelli, L.R., Cardoso, E.L. (2013). Design of Compliant Mechanisms with Stress Constraints Using Topology Optimization. In: Muñoz-Rojas, P. (eds) Optimization of Structures and Components. Advanced Structured Materials, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-00717-5_3

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