Cálculo de ejes y momentos principales de inercia. // The calculation of main axes and inertia momentum.

Authors

  • L. O’connor Montero Unidad Docente Metalurgica. Facultad de Ingeniería Mecánica Instituto Superior Politécnico “José A. Echeverría” Calle 127, S/N, CUJAE, Marianao 15, Ciudad de la Habana, Cuba Telefono: 537-260-2267.
  • N. Pérez Pérez Unidad Docente Metalurgica. Facultad de Ingeniería Mecánica Instituto Superior Politécnico “José A. Echeverría” Calle 127, S/N, CUJAE, Marianao 15, Ciudad de la Habana, Cuba Telefono: 537-260-2267.

Abstract

Se describen cálculos clásicos para determinar ejes y momentos principales de inercia de un cuerpo, y se demuestra que se
pueden realizar cálculos con el mismo propósito mediante la aplicación del Cálculo Tensorial, la Teoría Espectral y el
Algebra Lineal. Esto permite justificar los términos del título del trabajo constituye una extensión del modelo tensorial a la
estática, que en correspondencia con los elementos que lo definen y según analogías con otras aplicaciones a la mecánica
dan lugar a introducir la noción de tensor de inercia de un cuerpo. Bien interpretado, el modelo puede contribuir a cambios
importantes en la enseñanza del álgebra en la Ingeniería.


Palabras claves: Tensor, cálculo tensorial, ejes y momentos principales de inercia, tensor de inercia.

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Abstract.
The tensors calculation and the spectral theory are applied to modelling the inertia state (main axes and momentum of
inertia) of a body. This makes possible to enrich static engineering calculations and to generalise tensorial models beyond
the materials resistance, fluids mechanic and the plastic deformation theory. Well interpretated, the model can lead to
important changes in algebra teaching for mechanical engineers.


Key words: Tension member, tension calculation, inertia main axes , principals inertia momentum, inertia
tension member.

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How to Cite

1.
O’connor Montero L, Pérez Pérez N. Cálculo de ejes y momentos principales de inercia. // The calculation of main axes and inertia momentum. Ing. Mec. [Internet]. 2001 Jul. 1 [cited 2025 Sep. 13];4(3):57-62. Available from: https://ingenieriamecanica.cujae.edu.cu/index.php/revistaim/article/view/318

Issue

Vol. 4 No. 3 (2001): july-september

Section

Original article

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