Nonlinear Oscillations of a Buckled Mechanism used as a Vibration Isolator

  • Raymond H. Plaut
  • Laurie A. Alloway
  • Lawrence N. Virgin
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)


Various devices have been used to reduce the dynamic response of mechanical and structural systems connected to moving sources. A vibration isolator can be inserted between a system and source to absorb energy and reduce the system’s motion. The application of a buckled mechanism as a vibration isolator is investigated here. Harmonic motion is applied to the base, and the response of the supported weight is examined. Both parametric and external (forcing) excitations are present. Small applied motions and responses are considered first, and the steady-state harmonic motion of the weight is plotted as a function of the applied frequency. Then large responses are investigated. The buckled mechanism may snap from one side to the other. After some initial transient response, period-one, period-two, period-four, and chaotic responses are observed for various applied frequencies and given values of the applied amplitude, supported weight, damping coefficient, and stiffness parameter.

Key words

Vibration isolation buckling nonlinear oscillations 


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Copyright information

© Springer 2005

Authors and Affiliations

  • Raymond H. Plaut
    • 1
  • Laurie A. Alloway
    • 1
  • Lawrence N. Virgin
    • 2
  1. 1.Charles E. Via, Jr. Department of Civil and Environmental EngineeringVirginia Polytechnic Institute and State UniversityBlacksburgUSA
  2. 2.Department of Mechanical Engineering and Materials ScienceDuke UniversityDurhamUSA

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