Abstract
Steady-state responses for lateral nonlinear 1: 2 principal parametric resonance of a viscoelastic plate with in plane 1: 3 internal resonance of translation were investigated under nonhomogeneous boundary conditions. A governing partial differential equation of motion and corresponding nonhomogeneous boundary conditions for the plate with in plane translation were established considering effects of viscoelasticity on boundary conditions. The multi-scale method was applied to establish the solvability conditions during the plate having sub-harmonic parametric resonance. The stability of the system's frequency-amplitude responses was judged using Routh-Hurvitz criterion. Effects of in-plane translation speed disturbance amplitude and viscoelastic coefficient on the system's steady-state responses were investigated. The system's steady-state responses under homogeneous boundary conditions and non-homogeneous ones were compared. Finally, the differential quadrature method was introduced to verify approximate analytical results using the multi-scale method.
| Translated title of the contribution | Steady-state responses of a viscoelastic plate with in plane variable speed motion under non-homogeneous boundary conditions |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 156-162 |
| Number of pages | 7 |
| Journal | Zhendong yu Chongji/Journal of Vibration and Shock |
| Volume | 39 |
| Issue number | 13 |
| DOIs | |
| State | Published - 15 Jul 2020 |
| Externally published | Yes |
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