El modelado de una grieta de fatiga en una estructura plana y su detección mediante la transformada wavelet // Fatigue crack modeling in a planar truss and its detection using the wavelet transform.

Authors

  • Daniel José Isernia‐Trebols IUT Caripito, Estado de Monagas, Venezuela
  • Jorge Rodríguez‐Matienzo Departamento de Mecánica Aplicada, Facultad de Ingeniería Mecánica, Instituto Superior Politécnico José A. Echeverría, Calle 114 #11901 e/119 y 127. Marianao. La Habana. CP 19390. Cuba

Abstract

Se presenta el Análisis Modal realizado a varios Modelos de Elementos Finitos de una armadura
plana con el objeto de detectar la presencia de una grieta transversal en uno de sus elementos a
partir del análisis de los desplazamientos nodales del primer modo a flexión por medio de la
transformada de Wavelet. La grieta es representada por una zona de rigidez reducida calculada por
un proceso similar al desarrollado por Bovsunovsky y Matveev para una viga en voladizo en base a
criterios de la energía de deformación en la punta de la grieta. Se probaron varias funciones mother
wavelet para encontrar la mas adecuada para detectar discontinuidades producto de la grieta. Los
resultados teóricos muestran que es posible detectar una grieta transversal parcial en una armadura
plana con la transformada wavelet.


Palabras claves: pórticos planos, grietas, análisis modal, transformada wavelet.

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Abstract
The results of a modal analysis performed in several finite elements models of a planar truss with and
without a partial crack, and crack detection by the wavelet transform of nodal displacements in the
first mode are shown. The crack is represented by a zone with reduced bending stiffness, following
the idea developed by A P. Bovsunovsky and V. V. Matveev for a cantilever beam, using the concept
of strain energy in the crack tip. Several mother wavelet were used in order to find the most
appropriated for the detection of discontinuities produced by the crack, and its usefulness in crack
detection is probed.


Key words: planar truss, crack detection, modal analysis, wavelet transform.

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How to Cite

1.
Isernia‐Trebols DJ, Rodríguez‐Matienzo J. El modelado de una grieta de fatiga en una estructura plana y su detección mediante la transformada wavelet // Fatigue crack modeling in a planar truss and its detection using the wavelet transform. Ing. Mec. [Internet]. 2011 Jan. 1 [cited 2025 Oct. 15];14(1):74-86. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/9

Issue

Vol. 14 No. 1 (2011): january-april

Section

Original article

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