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This paper describes vibration analysis using finite element method for box structures consisting of elastic flat plates and damping layers on their bottom plates. The box structures are supported by nonlinear concentrated springs on the bottom plate. The restoring force of the springs have cubic nonlinearity and linear hysteresis damping. Finite element for the nonlinear springs are expressed and are connected to the elastic plates modeled by linear solid finite elements in consideration of complex modulus of elasticity. Further, the discretized equations in physical coordinate are transformed into the nonlinear ordinary coupled equations using normal coordinate corresponding to linear natural modes. Using material damping and shares of strain energy for the parts (i.e. the plates, the damping layer and the springs), we evaluate damping couplings among the parts. Further, we clarify influences of the damping couplings on nonlinear impact responses.

nihon kikai gakkai ronbunshū. c

Analysis of Impact Responses for Box Structures Having Damping Layers Supported by Nonlinear Springs (Influences of Damping Couplings among Parts on Nonlinear Responses)