Formulation and validation of a ritz-based analytical model for design of periodically-layered isolators in compression

Research output: Contribution to conferencePaperpeer-review


Periodically-layered isolators exhibit transmissibility "stop bands" or frequency ranges in which there is very low transmissibility. An assumed modes method was used to model the three-dimensional elastic behavior of layered isolators. The approximating functions were formed as functions of the coordinate directions. A modal analysis was performed for a single elastomer and metal layer combination, or cell. A modal synthesis approach was then used to obtain a model of an n-celled isolator, from which isolator modal properties are determined. A procedure to calculate the frequency-dependent transmissibility of an isolator is described. This model of the dynamic behavior of layered isolators was validated with experiments. Analytical and experimental transmissibilities are compared, for test specimens having identical elastomer components, but different geometries and different numbers of cells. In addition, analytical and experimental transmissibilities are compared for geometrically similar test specimens with differing elastomeric damping properties. Finally, design optimization methodology is presented for layered isolators subject to various constraints. A simulated annealing algorithm is employed to determine optimal material properties, layer geometries, and number of cells.

Original languageEnglish (US)
StatePublished - Dec 1 2001
Event19th AIAA Applied Aerodynamics Conference 2001 - Anaheim, CA, United States
Duration: Jun 11 2001Jun 14 2001


Other19th AIAA Applied Aerodynamics Conference 2001
Country/TerritoryUnited States
CityAnaheim, CA

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Mechanical Engineering


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