Abstract
This paper describes vibration analysis using finite element method for automotive sound proof structures with automotive body frames supported by nonlinear concentrated springs. The restoring force of the spring has cubic nonlinearity and linear hysteresis damping. To calculate damping properties for automotive sound proof structures including elastic body, viscoelastic body and porous body, displacement vectors as common unknown variable are solved under coupled condition. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. This transformation yields computation efficiency. Influences of the nonlinear springs and sound proof structures are clarified on the nonlinear frequency responses.
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