The Probabilistic Method for Determination the Inertia Characteristics of 3D Bodies with Monte Carlo Algorithms

  • Marius BOTIȘ Transilvania University of Brasov, Department of Civil Engineering, Romania
  • Costel PLEȘCAN Transilvania University of Brasov, Department of Civil Engineering, Romania
DOI: https://doi.org/10.35219/mms.2022.3.07
Keywords: Monte Carlo method, moments of inertia of three-dimensional bodies, probabilistic algorithms

Abstract

This study determines the inertial characteristics of bodies with probabilistic algorithms of the Monte Carlo type. To determine the mechanical moments of inertia in the case of three-dimensional bodies, the bodies are decomposed into simple bodies for which the moments of inertia are calculated, which are added to Steiner's relations. If the bodies have complex shapes to determine the moments of mechanical inertia, numerical or probabilistic algorithms can be used. This paper presents the main stages in the use of probabilistic algorithms for calculating moments of inertia and finally a program in MATLAB that allows determining the moments of inertia for bodies.

Creative Commons License

References

[1]. Billingsley J., Essentials of Dynamics and Vibration, Publishing House Springer, 2018.
[2]. Barbu A., Zhu S., Monte Carlo Methods, Publishing House Springer, 2020.
[3]. ***, https://www.mathworks.com/products/matlab.html, accessed: 22.00.2021.
[4]. ***, https://www.youtube.com/watch?v=SbTSATs-DBA.
[5]. Botiș M., Pleșcan C., Matlab Program for Determining the Inertia Characteristics of Flat Surfaces with Monte Carlo Algorithms, The Annals of “Dunarea De Jos” University of Galati, p. 22-26, June 2022.
Published
2022-09-15
How to Cite
1.
BOTIȘ M, PLEȘCAN C. The Probabilistic Method for Determination the Inertia Characteristics of 3D Bodies with Monte Carlo Algorithms. The Annals of “Dunarea de Jos” University of Galati. Fascicle IX, Metallurgy and Materials Science [Internet]. 15Sep.2022 [cited 25Apr.2024];45(3):33-6. Available from: https://www.gup.ugal.ro/ugaljournals/index.php/mms/article/view/5502
Issue
Vol 45 No 3 (2022)
Section
Articles

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.