Dynamic Formulation for Geometrically Exact Sandwich Beams and One-Dimensional Plates

[+] Author and Article Information
Loc Vu-Quoc, I. K. Ebcioglu

Department of Aerospace Engineering, Mechanics and Engineering Science, University of Florida, Gainesville, FL 32611

J. Appl. Mech 62(3), 756-763 (Sep 01, 1995) (8 pages) doi:10.1115/1.2897011 History: Received November 05, 1993; Revised April 01, 1994; Online October 30, 2007


A new theory of sandwich beams/one-dimensional plates is presented with finite rotations and shear allowed in each layer. The layers, variable in number from one to three, need not have the same thickness and the same length, thus allowing for ply drop-off. Restricting to planar deformation, the cross section has a motion identical to that of a multibody system that consists of rigid links connected by hinges. Large deformation and large overall motion are accommodated, with the beam dynamics referred directly to an inertial frame. An important approximated theory is developed from the general nonlinear equations. The classical linear theory is recovered by consistent linearization.

Copyright © 1995 by The American Society of Mechanical Engineers
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