Title

Nonlinear Vibration Of Circular Orthotropic Thin Plate

Abstract

There are a number of applications of circular piezoelectric plates including piezoelectric motors, headphones, microfluidic pump drivers, thunder actuators, synthetic jets and loudspeakers. Piezoelectric materials can be manufactured to exhibit polar orthotropy. When there is no electric current applied to the piezoelectric device the object acts as an ordinary orthotropic material and can be analyzed as such. Polar orthotropic circular plate with simply supported boundary condition is investigated. Kirchhoff strain displacement relation for thin plates plus next higher order nonlinear terms (Von Kerman type geometric nonlinearity) are considered. Lagrangian density function and Hamilton's Principle are utilized to derive single degree of freedom equation. Axisymmetric of motion is assumed, in-plane and rotary inertia, and transverse shear are neglected to reduce the number of the nonlinear terms in the governing equation. L'Hopital's rule is used to handle the singularity in the governing equation. Analytical solution is obtained by utilizing perturbation techniques. Numerical integration of the nonlinear equation is performed using Matlab. Phase diagrams, Discrete Fast Fourier Transform (FFT diagrams) and time history have been revealed for studying the forced excitation behavior. The sub-harmonic and primary resonances are studied as well as the effect of adding damping foil layer.

Publication Date

12-1-2003

Publication Title

Proceedings of the Tenth International Congress on Sound and Vibration

Number of Pages

2071-2077

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

2342446353 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/2342446353

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