Title page for ETD etd-08012012-040219

Type of Document Master's Thesis
Author Raciti, Stefano
URN etd-08012012-040219
Title A twenty DOF element for nonlinear analysis of unsymmetrically laminated beams
Degree Master of Science
Department Systems Engineering
Advisory Committee
Advisor Name Title
Blanchard, Benjamin S. Jr. Committee Member
Johnson, Eric R. Committee Member
Kapania, Rakesh K. Committee Member
  • Aircraft industry
Date of Defense 1987-02-22
Availability restricted
The purpose of this study was to develop a simple one- dimensional finite element

for the nonlinear analysis of symmetrically and unsymmetrically laminated composite

beams including shear deformation. There is a need for a simple and efficient

method for analyzing unsymmetrically laminated beams since no other

study on this topic is currently available. The beam element has ten degrees of

p freedom at each of the two nodes: the axial displacement, the transverse deflection

due to bending and shear, the twisting angle, the inplane shear rotation,

and their derivatives along the axial direction. The formulation, solution procedure,

and the computer program have been evaluated by solving a series of examples

on the static response, free vibration, buckling, and nonlinear vibrations of

isotropic and laminated beams. For unsymmetrically laminated beams, the nonlinear

vibrations were found to have a soft spring behavior for certain boundary

conditions as opposed to a hard spring behavior observed in isotropic and symmetrically

laminated beams. The inplane boundary conditions were found to

have a significant effect on nonlinear responses.

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