Factores geométricos para calcular a flexión engranajes cilíndricos rectos asimétricos con perfil evolvente - trocoide // Geometric factors for determining the bending strength of asymmetric spur gears with profile teeth involute-trochoid

Authors

  • Javier Antonio Cárdenas-Oliveros Universidad Politécnica Territorial de Aragua. Dpto. de Mecánica. Venezuela
  • Jorge Laureano Moya-Rodríguez Universidad Central de Las Villas. Facultad de Ingeniería Mecánica. Cuba
  • Daniel Hernández-Ochoa Universidad de Holguín. Facultad de Ingeniería. Cuba

Abstract

Resumen
Se propone un modo de cálculo analítico basado en el análisis del modelo gráfico del diente de los
engranajes cilíndricos rectos asimétricos con perfil de evolvente y trocoide, que permite obtener las
variables asociadas a la determinación de los factores geométricos de forma y de resistencia,
necesarios para el cálculo de la resistencia a flexión. Este tipo de procedimiento es empleado por
primera vez para obtener el parámetro geométrico de forma. Además, se establecen los
fundamentos que aportan la determinación del parámetro geométrico de resistencia J para estos
tipos de engranajes. Los resultados de la presente investigación permiten determinar el esfuerzo
máximo a la flexión a partir de los coeficientes geométricos de forma y resistencia, se construyeron
ecuaciones, tablas y diagramas representativos de estos parámetros. La aplicación práctica de este
enfoque de solución, permite la generalización del mismo en los mecanismos de transmisión con
engranajes cilíndricos de dientes rectos asimétricos de perfil evolvente trocoide.
.
Palabras claves: engranaje recto asimétrico, factores geométricos, resistencia a la flexión, CAD/CAE.

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Abstract
In this paper an analytical method of calculus based on computer analysis of the spur gears graphic
model with asymmetric teeth of involute profile and trochoid is proposed, it was estimated form
geometry factor and bending strength by a direct calculus method. This procedure is first used to
obtain form geometry factor. Furthermore, the factor J foundation for these types of gears was
established. The results of this research determinates analytically the maximum bending stress, using
the form geometry factor and bending geometry factor, built equations, tables and diagrams
representing these parameters. The practical application of this solution approach allows the
generalization of it in use in transmission mechanisms of cylindrical spur gears of asymmetric involute
trochoid profile.
.
Key words: asymmetric spur gear, geometry factors, bending strength, CAD/CAE.

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How to Cite

1.
Cárdenas-Oliveros JA, Moya-Rodríguez JL, Hernández-Ochoa D. Factores geométricos para calcular a flexión engranajes cilíndricos rectos asimétricos con perfil evolvente - trocoide // Geometric factors for determining the bending strength of asymmetric spur gears with profile teeth involute-trochoid. Ing. Mec. [Internet]. 2011 Aug. 31 [cited 2025 Sep. 13];14(3):230-44. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/25

Issue

Vol. 14 No. 3 (2011): september-december

Section

Original article

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