Stochastic Free Vibration Response of Soft Core Sandwich Plates Using an Improved Higher-Order Zigzag Theory
Publication: Journal of Aerospace Engineering
Volume 23, Issue 1
Abstract
In this paper, an improved higher-order zigzag theory for vibration of soft core sandwich plates with random material properties is proposed. The theory satisfies the condition of continuity in transverse shear stresses at all the layer interfaces and transverse shear stress free condition at the top and bottom of the plate, including the transverse flexibility effect of the core. The variation of in-plane displacements through thickness is assumed to be cubic while transverse displacement varies quadratically within the core and constant throughout the faces. The core is modeled as a 3D elastic continuum. An efficient finite element in conjunction with a first-order perturbation approach is developed for the implementation of the proposed plate theory in a random environment and is employed to evaluate the second-order statistics of the eigensolutions by modeling lamina material properties as basic random variables. The mean and standard deviations of natural frequencies and their mode shapes are computed and validated with Monte Carlo simulation.
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Published In
Journal of Aerospace Engineering
Volume 23 • Issue 1 • January 2010
Pages: 14 - 23
Copyright
© 2010 ASCE.
History
Received: Mar 18, 2008
Accepted: Jan 21, 2009
Published online: Dec 15, 2009
Published in print: Jan 2010
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