Stiffness Constants for Composite Beams Including Large Initial Twist and Curvature Effects

[+] Author and Article Information
Carlos E. S. Cesnik, Dewey H. Hodges

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta GA 30332-0150 USA

Appl. Mech. Rev 48(11S), S61-S67 (Nov 01, 1995) doi:10.1115/1.3005084 History: Online April 29, 2009


An asymptotically exact methodology, based on geometrically nonlinear, three-dimensional elasticity, is presented for cross-sectional analysis of initially curved and twisted, nonhomogeneous, anisotropic beams. Through accounting for all possible deformation in the three-dimensional representation, the analysis correctly accounts for the complex elastic coupling phenomena in anisotropic beams associated with shear deformation. The analysis is subject only to the restrictions that the strain is small relative to unity and that the maximum dimension of the cross section is small relative to the wave length of the deformation and to the minimum radius of curvature and/or twist. The resulting cross-sectional elastic constants exhibit second-order dependence on the initial curvature and twist. As is well known, the associated geometrically-exact, one-dimensional equilibrium and kinematical equations also depend on initial twist and curvature. The corrections to the stiffness model derived herein are also necessary in general for proper representation of initially curved and twisted beams.

Copyright © 1995 by The American Society of Mechanical Engineers
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