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 Keywords
- Aircraft industry
Date of Defense 1987-02-22 Availability restricted AbstractThe 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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