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Synthesis of multistable equilibrium linkage systems using an optimization approach

Abstract

This paper introduces a methodology for designing multistable equilibrium (MSE) systems. The methodology derives design criteria that relate system equilibrium characteristics to a potential energy curve. These design criteria are then used in a performance index that guides a candidate’s potential energy to approach the desired potential energy curve. As an example, a four-bar linkage with linear translational springs attached demonstrates the design methodology and the difficulties inherent in synthesizing MSE systems. To solve for the unknown design variables of the example problem a genetic algorithm is used.

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Correspondence to C.W. King.

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King, C., Campbell, M., Beaman, J. et al. Synthesis of multistable equilibrium linkage systems using an optimization approach. Struct Multidisc Optim 29, 477–487 (2005). https://doi.org/10.1007/s00158-004-0489-6

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Keywords

  • Equilibrium
  • Four-bar linkage
  • Multistable