Compliant mechanisms are jointless mechanical devices that take advantage of elastic deformation to achieve a force or motion transformation. An important step toward automated design of compliant mechanisms has been the development of topology optimization techniques. The next logical step is to incorporate size and shape optimization to perform dimensional synthesis of the mechanism while simultaneously considering practical design specifications such as kinematic and stress constraints. An improved objective formulation based on maximizing the energy throughput of a linear static compliant mechanism is developed considering specific force and displacement operational requirements. Parametric finite element beam models are used to perform the size and shape optimization. This technique allows stress constraints to limit the maximum stress in the mechanism. In addition, constraints which restrict the kinematics of the mechanism are successfully applied to the optimization problem. Resulting optimized mechanisms exhibit efficient mechanical transmission and meet kinematic and stress requirements. Several examples are given to demonstrate the effectiveness of the optimization procedure.
Skip Nav Destination
Article navigation
June 1999
Research Papers
An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms
J. A. Hetrick,
J. A. Hetrick
Department of MEAM, The University of Michigan, Ann Arbor, MI 48109
Search for other works by this author on:
S. Kota
S. Kota
Department of MEAM, The University of Michigan, Ann Arbor, MI 48109
Search for other works by this author on:
J. A. Hetrick
Department of MEAM, The University of Michigan, Ann Arbor, MI 48109
S. Kota
Department of MEAM, The University of Michigan, Ann Arbor, MI 48109
J. Mech. Des. Jun 1999, 121(2): 229-234 (6 pages)
Published Online: June 1, 1999
Article history
Received:
June 1, 1998
Revised:
January 1, 1999
Online:
December 11, 2007
Citation
Hetrick, J. A., and Kota, S. (June 1, 1999). "An Energy Formulation for Parametric Size and Shape Optimization of Compliant Mechanisms." ASME. J. Mech. Des. June 1999; 121(2): 229–234. https://doi.org/10.1115/1.2829448
Download citation file:
Get Email Alerts
Multi-Split Configuration Design for Fluid-Based Thermal Management Systems
J. Mech. Des (February 2025)
Related Articles
An Improved Material-Mask Overlay Strategy for Topology Optimization of Structures and Compliant Mechanisms
J. Mech. Des (June,2010)
A Versatile 3R Pseudo-Rigid-Body Model for Initially Curved and Straight Compliant Beams of Uniform Cross Section
J. Mech. Des (September,2018)
Synthesis of Compliant Mechanisms for Path Generation using Genetic Algorithm
J. Mech. Des (July,2005)
Systematic Synthesis of Large Displacement Contact-Aided Monolithic Compliant Mechanisms
J. Mech. Des (January,2012)
Related Proceedings Papers
Related Chapters
Data Tabulations
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading
Design for Displacement Strains
Process Piping: The Complete Guide to ASME B31.3, Fourth Edition
Characterization of Ultra-High Temperature and Polymorphic Ceramics
Advanced Multifunctional Lightweight Aerostructures: Design, Development, and Implementation