Multi-material topology optimization of compliant mechanisms using regularized projected gradient approach
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(2020) 42:457
TECHNICAL PAPER
Multi‑material topology optimization of compliant mechanisms using regularized projected gradient approach Pooya Rostami1 · Javad Marzbanrad1 Received: 14 April 2020 / Accepted: 3 August 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract In this article, the identification of optimal topologies for multi-material compliant mechanisms based on the regularized projected gradient approach is presented and analyzed. The monolithic structure of compliant mechanisms makes them suitable to be used in microelectromechanical systems to transfer load and force. The use of additive manufacturing technologies makes it possible to build multi-material structures. However, a proper design optimization approach must be considered to design multi-material mechanisms as well. In this article, the solid isotropic material with a penalization (SIMP) material interpolation scheme is used to parameterize the continuum design domain. The perimeter penalization approach is utilized to remove the checkerboard patterns and scatters in optimal designs. To handle the volume equality constraint, the regularized constraint projection strategy is utilized. Some benchmark problems are considered to analyze the performance of the method. Keywords Topology optimization · Compliant mechanisms · Gradient projection · Multi-material structures
1 Introduction Compliant mechanisms are structures considered for transferring load or displacement in macrostructures and MEMS due to the removal of joints and links. These types of mechanisms can transfer the input load into internal strain energy, and return desired force or displacement. Also, the friction can be neglected, because of the increase in a surface-to-volume ratio. Due to the jointless and monolithic construction of compliant mechanisms, the fabrication of such structures would be so easier than multi-link mechanisms. Yet researchers in different fields of studies focused on the development, optimization and applications of these structures in nano- and microsystems, aerospace, biomechanics and automotive applications. One of the most recent applications of these machines is the small robotic systems. For example, Vogtman et al. [1] presented a new fabrication process for the design of small-scale robotics, in Technical Editor: Pedro Manuel Calas Lopes Pacheco, D.Sc. * Javad Marzbanrad [email protected] 1
Vehicle Dynamical Systems Research Laboratory, School of Automotive Engineering, Iran University of Science and Technology, Narmak 1684613114, Tehran, Iran
which the process consists of laser cutting and joint refilling. The authors have also considered and analyzed the effect of fatigue in compliant mechanisms to present a suitable design. Recently, Howell et al. [2] published a handbook to the history, applications, design and optimization of different compliant mechanisms. This book is recommended as an introduction to compliant mechanisms. Topology optimization is demonstrated to be an efficient and effective tool in
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