Finite Element Modeling And Free Vibration Analysis Of Single Double Delamination Composite Beams

The requirement for accurate analysis tools to predict the behaviour of delaminated compositesrnhas grown and will continue to grow into the future, due to the high demand of these materialsrnon major structural components. In the following, a detailed analysis of single and doubledelaminatedrnbeams is made, using traditional finite element techniques, as well as two dynamicrnelement-based techniques. The Dynamic Stiffness Matrix (DSM) and Dynamic Finite Elementrn(DFE) techniques introduce the concept of frequency-dependent stiffness matrices and shapernfunctions, respectively, and have been documented to exhibit excellent convergence qualitiesrnwhen compared to traditional finite elements. Current trends in the literature are criticallyrnexamined, and insight into different types of modeling techniques and constraint types arernintroduced. In particular, the continuity (both kinematic and force) conditions at delaminationrntips plays a large role in each model’s formulation. In addition, the data previously availablernfrom a commercial finite element suite are also utilized to validate the natural frequencies of thernsystems analyzed here. Beam element-based techniques are used and the results are compared tornthose obtained using the dynamic element techniques and data from the literature. In each case,rnexcellent agreement between different techniques was observed. In addition, The CommercialrnSoftware (ANSYS®12) based on FEM modeling approach analyzed here is general andrnaccurately predicts delamination effects on the frequency response of beam structures. Based onrnan existing one-dimensional model, the investigation is extended to two-dimensional modelingrnfor single and double-delamination cases. In each case, clamped-clamped and cantileveredrndelaminated composite beam configurations, both centered and none-centered delaminationrnconditions are studied. The three-dimensional model is also developed for single delamination ofrna clamped-clamped delaminated composite beam. The results that obtained from simulationsrn(ANSYS®12) are excellent agreement with the data available in the literature. Finally,rnconclusion, recommendation and future works are made on the usefulness of the presentedrntheories, and some comments are made on the future work of this research path.

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