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Paper Information

Journal:   JOURNAL OF SCHOOL OF ENGINEERING   2003 , Volume 15 , Number 2; Page(s) 171 To 185.
 
Paper: 

NON - LINEAR VIBRATION ANALYSIS OF LAMINATED COMPOSITE ANNULAR PLATES UNDER RING LOADS USING FINITE ELEMENT METHOD

 
 
Author(s):  NAEI M.H., DEHGHAN TARZJANI H.
 
* 
 
Abstract: 

Free and forced non-linear vibrations of laminated composite annular Plates are studied under ring loads in various conditions. Non-linear strains, membrane and shear forces, and bending and shear moments are established on cylindrical coordinates, then axisymmetry assumption is yielded to elminating of all angle differential equations are derived in a similar form of Von Karman equations. Finite element method is applied in analyzing and constitution of mass and stiffness matrices; and also the dynamic equations are obtained as a matrix identity through the substitution of potential and kinetic energy terms in Euler-Logrange equation. Non-linear vibration responses are computed by an iteration scheme and an initial displacement vector which resulted from linear solution. Finally mode shapes, non linear natural frequencies are ploted for a variety of boundary conditions, inner-outer radial ration, and tangential-radial of elasticity modulus. The results of the free non-linear vibration analysis closely related to solutions obtained by Ritz-kantorovich method.

 
Keyword(s): ANNULAR PLATES, LAMINATED COMPOSITE PLATES, FINITE ELEMENT METHOD, NON - LINEAR VIBRATIONS
 
References: 
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