Dynamic analysis of composite beams using shear-deformable finite elements

"The goal of this effort is to develop shear-deformable finite elements which can be used to find the natural frequencies of composite beams. The first objective of the study is to derive the mass and stiffness matrices for the elements of interest and incorporate them into computer programs which can be used to estimate the natural frequencies of composite beams. Composite beams of interest include sandwich beams and those of fiber-reinforced laminated construction. Elements based on the beam theories of Bernoulli-Euler, Timoshenko, Levinson-Bickford, as well as a general third-order beam theory are considered. The elements ignore transverse normal strain, coupling between longitudinal and lateral motion caused by Poisson effects, and damping, and are limited to linear, elastic materials. However, both isotropic and orthotropic layers in symmetric and nonsymmetric configurations can be accomodated. In addition, the elements can impose a kinematic constraint on the entire beam or on individual layers within the beam. This study refers to elements which employ the latter approach as ""stacked elements""."

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Whitehouse, Stephen Robert

Contributors dc:contributor

• Miller, Robert E.

• Applied Mechanics

Statement dc:rights

• Copyright 1990 Whitehouse, Stephen Robert

Language dc:language

eng

Identifier

AAI9114462
(UMI)AAI9114462

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19143