Synthesis of Mechanisms

  • John M. Hansen
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 511)


In this chapter the focus will be on synthesis of mechanisms. Part of the material is based on the papers (Hansen, 2002, 2000; Jensen and Hansen, 2005) from which some of the figures are taken. In the chapter some methods are described that are not commonly used within the area, and to understand them requires some knowledge about general optimization methods. It is therefore recommended that this chapter is read after the other chapters in the volume which treat optimization and synthesis have been read.


Design Variable Constraint Equation Revolute Joint Joint Variable Coupler Point 
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  1. Arora, J.S. Introduction to Optimum Design. McGraw-Hill, Columbus, 1989.Google Scholar
  2. Angeles, J. and Liu, Z. A constrained least-square method for the optimization of spherical four-bar path generators. In M. McCarthy, S. Derby, and A. Pisano, editors, Mechanism Synthesis and Analysis. ASME, 1990.Google Scholar
  3. Cabrera, J.A., Simon, A. and Prado, M. Optimal synthesis of mechanisms with genetic algorithms. Mechanism and Machine Theory, 27:1165–117, 2002.CrossRefGoogle Scholar
  4. Erdman, A.G. and Sandor, G.N. Mechanism Design, Analysis and Synthesis. Prentice-Hall, New Jersey, 1991.Google Scholar
  5. Hansen, J.M. Synthesis of kinematically driven systems using dynamics. Presented at ICTAM XX, 27th Aug–1st Sep 2000, Chicago Google Scholar
  6. Hansen, J.M. Synthesis of Mechanisms using Time Varying Dimensions. Multibody System Dynamics, 7(1):127–144, 2002.zbMATHCrossRefGoogle Scholar
  7. Hansen, J.M. and Tortorelli, D.A. An efficient method for synthesis of mechanisms. In D. Bestle and W. Schiehlen, editors, Optimization of Mechanical Systems, pages 129–138. IUTAM Symposium, Stuttgart, Germany, 1995.Google Scholar
  8. Hansen, M.R. A general procedure for dimensional synthesis of mechanisms. Mechanism Design and Synthesis, 46:67–71, 1992.Google Scholar
  9. Haug, E.J. and Sohoni, V.N. Design sensitivity analysis and optimization of kinematically driven systems. In E.J. Haug, editor, Computer Aided Analysis and Optimization of Mechanical System Dynamics, Volume F9. NATO ASI, 1984.Google Scholar
  10. Garcia de Jalon, J. and Bayo, E. Kinematic and Dynamic Simulation of Multibody Systems. Springer-Verlag New York, 1994.Google Scholar
  11. Jensen, O.F. and Hansen, J.M. Dimensional synthesis of spatial mechanisms and the problem of non-assembly. Multibody System Dynamics, 15(1):107–133, 2005.MathSciNetGoogle Scholar
  12. Kong, F. and Wei, H. Path synthesis of linkage mechanisms by spectrum analysis based on particle swarm optimization. Computer Engineering and Applications, 9:66–68, 2007.Google Scholar
  13. Minaar, R.J., Tortorelli, D.A. and Snyman, J.A. On nonassembly in optimal dimensional synthesis of planar mechanisms. Structural and Multidisciplinary Optimization, 21 (5): 345–354, 2001.CrossRefGoogle Scholar
  14. Nikravesh, P.E. and Gim, G. Systematic construction of the equations of motion for multibody systems containing closed kinematic loop. ASME Journal of Mechanical Design, 115:143–149, 1993.CrossRefGoogle Scholar
  15. Roston, G. and Sturges, R. Genetic algorithm synthesis of four-bar mechanisms. Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 10,5:371–390, 1996.CrossRefGoogle Scholar
  16. Saxena, A. Synthesis of compliant mechanisms for path generation using genetic algorithm. Journal of Mechanical Design, 127:745–752, 2005.CrossRefGoogle Scholar
  17. Sedlaczek, K. and Eberhard, P. Optimization of nonlinear mechanical systems under constraints with the particle swarm method. In Proceedings of Applied Mathematics and Mechanics, pages 169–170, 2004.Google Scholar

Copyright information

© CISM, Udine 2009

Authors and Affiliations

  • John M. Hansen
    • 1
  1. 1.MAN Diesel SECopenhagen SVDenmark

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