Research of Nonlinear Primary Resonance of Damped Circular Sandwich Plates with Initial Deflection

Guo Jun Du; Xiao Man Liu; Yu Da Hu

doi:10.4028/www.scientific.net/AMR.199-200.1084

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 199-200Research of Nonlinear Primary Resonance of Damped...

Research of Nonlinear Primary Resonance of Damped Circular Sandwich Plates with Initial Deflection

Abstract:

The nonlinear forced vibration of damped circular sandwich plates is studied. From the movement equations of circular sandwich plate expressed in displacement components, got the relevant nonlinear vibration equation by Galerkin method. The standard Duffing equation with square and cubic minor items was obtained by dimensionless processed. The quadratic analytical solution of the principal resonance was deduced by multi-scale method. The FRF of primary resonance periodical solutions were obtained, synchronously the necessary and sufficient condition on stability of the vibration are obtained. The infection to the amplitude when the correlative physical and geometric parameters changing was discussed. The trajectories in moving phase planes during the stabilization process, the stabilities and singularities of the solutions are analyzed.

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Periodical:

Advanced Materials Research (Volumes 199-200)

Pages:

1084-1087

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.199-200.1084

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Online since:

February 2011

Authors:

Guo Jun Du, Xiao Man Liu, Yu Da Hu

Keywords:

Circular Sandwich Plate, FRF, Multi-Scale Method, Primary Resonance, Singular Point

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