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Modeling of forced vibration phenomenon by making an electrical analogy with ANSYS finite element software
Modelación del fenómeno de vibración forzada formulando una analogía eléctrica con el programa de elementos finitos “Ansys”
Keywords:
electric analogy, oscillating circuit, forced vibration, ANSYS, finite element, numeric modeling, CAE (en)analogía eléctrica, circuitos oscilantes, vibración forzada, Ansys, elementos finitos, modelación numérica, CAE (es)
Designing mechanical systems which are submitted to vibration requires calculation methods which are very different to those used in other disciplines because, when this occurs, the magnitude of the forces becomes secondary and the frequency with which the force is repeated becomes the most important aspect. It must be taken care of, given that smaller periodic forces can prompt disasters than greater static forces. The article presents a representative problem regarding systems having forced vibration, the mathematical treatment of differential equations from an electrical and mechanical viewpoint, an electrical analogy, numerical modeling of circuits using ANSYS finite element software, analysis and comparison of numerical modeling results compared to test values, the post-processing of results and conclusions regarding electrical analogy methodology when analysing forced vibration systems.
El diseño de sistemas mecánicos sometidos a vibraciones requiere métodos de cálculo muy diferentes a los que se utilizan en otras disciplinas, ya que cuando estas aparecen, la magnitud de las fuerzas pasa a ser secundaria y la frecuencia con que la fuerza se repite se convierte en el aspecto de mayor relevancia. Es necesario poner especial cuidado en ello, toda vez que fuerzas periódicas pequeñas pueden desatar más desastres que fuerzas estáticas de mayor magnitud. En este sentido, el artículo muestra un problema representativo de sistemas con vibración forzada, el tratamiento matemático de las ecuaciones diferenciales desde el enfoque mecánico y eléctrico, la analogía eléctrica, el proceso de modelación numérica de los circuitos empleando el programa de elementos finitos Ansys, el análisis y comparación de resultados de la modelación numérica respecto a valores analíticos, el posproceso gráfico de los resultados y las conclusiones fundamentales de la validez de la metodología de analogía eléctrica en el análisis de sistemas de vibración forzada.
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Copyright (c) 2009 Myriam Rocío Pallares Muñoz, Wilson Rodríguez Calderón
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