Dynamic Response of Composite Beams Using Shear-Deformable Finite Elements
Abstract
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 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 and configurations can be accommodated. In addition, the elements can impose a kinematic constraint on the entire beam or individual layers within the beam. This study refers to elements which employ the latter approach as stacked elements.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1990
- Accession Number
- ADA227975
Entities
People
- Stephen R. Whitehouse
Organizations
- Air Force Institute of Technology