Análisis dinámico no lineal para pilotes de cimentación fundidos " in situ " // Non-linear dynamical analysis for foundation piles molten " in situ "

Authors

  • E. Fraga Guerra Dpto. Matemática, Dpto. Mecánica Aplicada Facultad de Ingeniería Mecánica Instituto Superior Politécnico José Antonio Echeverría, La Habana 19390, Cuba.
  • J. A. Alvarez Vasallo Dpto. Matemática, Dpto. Mecánica Aplicada Facultad de Ingeniería Mecánica Instituto Superior Politécnico José Antonio Echeverría, La Habana 19390, Cuba.
  • L. Baldoquín de la Peña Dpto. Matemática, Dpto. Mecánica Aplicada Facultad de Ingeniería Mecánica Instituto Superior Politécnico José Antonio Echeverría, La Habana 19390, Cuba.
  • Ma. L. Brito Vallina Dpto. Matemática, Dpto. Mecánica Aplicada Facultad de Ingeniería Mecánica Instituto Superior Politécnico José Antonio Echeverría, La Habana 19390, Cuba.

Abstract

En la actualidad existen diversas técnicas para controlar el estado técnico de los pilotes de cimentación, una de las más
utilizadas es mediante el estudio de sus vibraciones mecánicas, ya que este método resulta muy eficaz pues permite obtener
óptimos resultados sin detener el proceso productivo.
En el presente trabajo se estudia la influencia de la no linealidad en el sistema pilote-terreno, para lo cual se hace necesario
obtener las soluciones de modelos físico-matemáticos expresados a través de ecuaciones diferenciales ordinarias no lineales
necesarias a tales efectos. Por otra parte, debido a la presencia de un gran número de parámetros que intervienen en el modelo
se implementa la técnica de elementos finitos, considerando un modelo lineal, para determinar las características estáticas y
dinámicas del sistema para las condiciones planteadas en el problema.

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Abstract
There are several techniques nowadays to control the technical state of the foundation piles. One of the most used techniques is
the study of mechanical vibrations of the piles since this method turns out very efficient because it allows obtaining optimum
results without stopping the productive process.
Throughout this work, the influence of non-linearity in the ground-pile system is studied, such influence appears because of the
different characteristics and great variety of the soils, then, for this study, it is made necessary to obtain the solutions of
mathematics and physical models expressed through non-lineal ordinary-differential equations needed as well. On the other
hand, due to the presence of a great number of parameters acting in the model, the technique of finite element is implemented,
taking into account a lineal model to determine the static and dynamic characteristics of the system according for the conditions
stated in the mathematical problem.

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How to Cite

1.
Fraga Guerra E, A. Alvarez Vasallo J, Baldoquín de la Peña L, L. Brito Vallina M. Análisis dinámico no lineal para pilotes de cimentación fundidos " in situ " // Non-linear dynamical analysis for foundation piles molten " in situ ". Ing. Mec. [Internet]. 1998 Jan. 10 [cited 2025 Sep. 13];1(1):79-86. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/416

Issue

Vol. 1 No. 1 (1998): enero-diciembre

Section

Original article

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