Análisis de vibración libre de vigas laminadas de materiales compuestos utilizando el método de elementos finitos
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Advisors
Arciniega Alemán, Román AugustoIssue Date
2021-06-08Keywords
VigasTeoría de vigas Timoshenko
Principio de Hamilton
Beams
Timoshenko beam theory
Hamilton's principle
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Free Vibration Analysis of Laminated Beams of Composite Materials Using the Finite Elements MethodAbstract
Se presenta un modelo de elementos finitos que describe el comportamiento de vibración de libre de vigas compuestas laminadas. Se desarrolla el modelo utilizando el principio de Hamilton y la teoría de vigas Timoshenko que incluye deformaciones por corte. Se asume interpolaciones de alto orden para la aproximación de las variables fundamentales. Los laminados compuestos son ortotrópicos con fibras orientadas en diferentes direcciones. Se implementa un programa para materiales compuestos laminado en MATLAB. Se comparan resultados con otros obtenidos en la literatura para validar el modelo. Se realiza un estudio de convergencia y paramétrico con un mismo número de lámina y diferentes direcciones. Se verifica que la formulación que es bastante precisa con resultados satisfactorios en la investigación.In this work, is presented a finite element model that describes the free vibration behavior of laminated composite beams. The model is developed by the Hamilton principle and the Timoshenko theory that includes shear deformations. Composite laminates are assumed to be orthotropic with fibers oriented in different directions, such as Angle Ply and Cross Ply cases. This investigation works out on a MAPLE program for laminated composites materials that will be completed all in MATLAB program. In order to validate the model, the results are compared with different literatures, also verify the formulation that is quite accurate and obtain quite satisfactory results in the investigation. High order interpolations are assumed to approximate fundamental variables. A convergence study and parametric study will be carried out with the same number of laminas in different directions.
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info:eu-repo/semantics/bachelorThesisRights
info:eu-repo/semantics/openAccessAttribution-NonCommercial-ShareAlike 4.0 International
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spaCollections
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- Creative Commons