Vibration Analysis of Glass Fiber Reinforced Composites

Glass fiber reinforced resol/vac-eha composites have been fabricated in laboratory to determine the dynamic behavior of glass fiber reinforced composites. Resol solution was blended with vinyl acetate-2-ethylhexyl acrylate (vac-eha) resin in an aqueous medium with varying volume fraction of glass fibers. The role of fiber/matrix interactions in glass fibers reinforced composites were investigated to predict the stiffness and damping properties. In order to study the static and dynamic response of Resol, Resol/VAC-EHA blend and glass fibers reinforced composites, a multiquadric radial basis function (MQRBF) method is developed. MQRBF is applied for spatial discretization and a Newmark implicit scheme is used for temporal discretization. The discretization of the differential equations generates a larger number of algebraic equations than the unknown coefficients. To overcome this ill conditioning, the multiple linear regression analysis, which is based on the least square error norm, is employed to obtain the coefficients. Simple supported and clamped boundary conditions are considered. Numerical results are compared with those obtained by other analytical methods. Notations : b a, -Dimension of plates, h ----Thickness of plates, R ----Aspect ratio ) / ( b a , LT  --Major Poisson’s ratio,   C C , * ----Viscous damping, dimensionless viscous damping, 66 12 22 11 , , , D D D D ----Flexural rigidity of plates, T L E E , ----Young’s modulus in * * , y x direction respectively, LT G ---Shear modulus relative to * * y x  direction, Q q, ---Transverse load, dimensionless transverse load, t t , * ---Time, dimensionless time, * w ----Displacement in * z direction, w ---Dimensionless displacement in z direction