Dynamic Stability of Axially Accelerating Viscoelastic Plate | Zendy

Yin-Feng Zhou | Zendy; Zhongmin Wang | Zendy

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Dynamic Stability of Axially Accelerating Viscoelastic Plate

Author(s) -

Yin-Feng Zhou,

Zhongmin Wang

Publication year - 2009

Publication title -

scholarly research exchange

Language(s) - English

Resource type - Journals

eISSN - 1687-8302

pISSN - 1687-8299

DOI - 10.3814/2009/856320

Subject(s) - axial symmetry , viscoelasticity , nyström method , floquet theory , differential equation , quadrature (astronomy) , discretization , vibration , instability , constitutive equation , transverse plane , mathematics , mathematical analysis , mechanics , physics , integral equation , structural engineering , thermodynamics , finite element method , geometry , nonlinear system , engineering , quantum mechanics , optics

The transverse vibration of an axially accelerating viscoelastic plate is investigated. The governing equation is derived from the two-dimensional viscoelastic differential constitutive relation while the resulting equation is discretized by the differential quadrature method (DQM). By introducing state vector, the first-order state equation with periodic coefficients is established and then it is solved by Runge-Kutta method. Based on the Floquet theory, the dynamic instability regions and dynamic stability regions for the accelerating plate are determined and the effects of the system parameters on dynamic stability of the plate are discussed.

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