Finite Element Modeling and Free Vibration Analysis of Single Double Delamination Composite Beams
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Date
2015-01
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Addis Ababa University
Abstract
The requirement for accurate analysis tools to predict the behaviour of delaminated composites
has grown and will continue to grow into the future, due to the high demand of these materials
on major structural components. In the following, a detailed analysis of single and doubledelaminated
beams is made, using traditional finite element techniques, as well as two dynamic
element-based techniques. The Dynamic Stiffness Matrix (DSM) and Dynamic Finite Element
(DFE) techniques introduce the concept of frequency-dependent stiffness matrices and shape
functions, respectively, and have been documented to exhibit excellent convergence qualities
when compared to traditional finite elements. Current trends in the literature are critically
examined, and insight into different types of modeling techniques and constraint types are
introduced. In particular, the continuity (both kinematic and force) conditions at delamination
tips plays a large role in each model’s formulation. In addition, the data previously available
from a commercial finite element suite are also utilized to validate the natural frequencies of the
systems analyzed here. Beam element-based techniques are used and the results are compared to
those obtained using the dynamic element techniques and data from the literature. In each case,
excellent agreement between different techniques was observed. In addition, The Commercial
Software (ANSYS®12) based on FEM modeling approach analyzed here is general and
accurately predicts delamination effects on the frequency response of beam structures. Based on
an existing one-dimensional model, the investigation is extended to two-dimensional modeling
for single and double-delamination cases. In each case, clamped-clamped and cantilevered
delaminated composite beam configurations, both centered and none-centered delamination
conditions are studied. The three-dimensional model is also developed for single delamination of
a clamped-clamped delaminated composite beam. The results that obtained from simulations
(ANSYS®12) are excellent agreement with the data available in the literature. Finally,
conclusion, recommendation and future works are made on the usefulness of the presented
theories, and some comments are made on the future work of this research path.
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Mechanical Design Stream