Comparative numerical analysis to determine the weight of industrial warehouses
Abstract
Through this article, an investigation about the application of numerical analysis to structural calculations is carried out based on a sample, in which some metrics that describe its behavior are determined, such as its weight, with these values a polynomial is obtained that describes the represented model on a curve, which can be obtained through interpolation or regression. To obtain the polynomial by interpolation, the numerical methods of: Newton's divided differences, Lagrange and tracers or splines were applied, they were graphed independently, then they were grouped to analyze their behavior. With the regression, the least-squares method was applied to obtain the polynomial and represent its curve. With all the polynomials obtained, all their curves were drawn, consolidating them in a single graph, in which the most recommended category and method of numerical analysis is detailed, taking into account the mistakes found.
Downloads
References
Araujo, E. (2017). Métodos numéricos y su uso para simulación en la ingeniería. Recuperado 7 de julio de 2021, de Esss.co website: https://www.esss.co/es/blog/metodos-numericos-para- simulacion-en-la-ingenieria/
Burden, R., Faires, J., & Burden, A. (2017). Análisis Numérico. 10 th ed: Cengage Learning Inc.
Chapra, S., & Canale, R. (2015). Métodos numéricos para ingenieros. 7 th ed: McGraw-Hill Companies, Inc.
Cortés, J.,González, M., Pinilla, V., Salazar, A., & Tovar, V. (2019a). Aproximación numérica y errores. Recuperado 7 de julio de 2021, website: https://www.ingenieria.unam.mx/pinilla/PE105117/pdfs/tema1/1_aproximacion_numerica_y_err ores.pdf
Cortés, J.,González, M., Pinilla, V., Salazar, A., & Tovar, V. (2019b). Interpolación con incrementos variables: Polinomio de Lagrange. Recuperado 7 de julio de 2021, website: https://www.ingenieria.unam.mx/pinilla/PE105117/pdfs/tema4/4-1_lagrange.pdf
Faure, O., Rougier, V., & Quiroga, G. (2018). Métodos numéricos en problemas de ingeniería. Mecánica Computacional, 36(22), 1029–1038. Recuperado 23 de noviembre de 2021, website: https://cimec.org.ar/ojs/index.php/mc/article/view/5602/5581
González, E. (2017). Funciones spline. Tesis de grado. Universidad de La Laguna, Tenerife.
González, C.(2000). Splines y superficies. Recuperado el 8 de julio de 2021, website: http://www.inf-cr.uclm.es/www/cglez/downloads/docencia/AC/splines.pdf
Guerrero, D. (2019). Análisis técnico y económico del diseño por desempeño de edificios con estructura de acero utilizando arriostramientos concéntricos. Gaceta Técnica, 20(1), 41-59. DOI: 10.13140/RG.2.2.20052.86409
Kiusalaas, J. (2009). Numerical Methods in Engineering with MATLAB. Cambridge University Press.
Loachamin, D., Freire, A., Guerrero, D., & Guerrón, M. (2021). Análisis técnico-económico de naves industriales mediante interpolación no lineal de Lagrange. Revista Técnica de la Facultad de Ingeniería Universidad del Zulia, 44(2), 104-116. DOI: 10.22209/rt.v44n2a05
Matlab. (2020). Versión (R2020a), Natick, Massachusetts: The MathWorks Inc. [en línea] disponible en: https://matlab.softonic.com
Mathews, J., & Fink, K. (2003). Numerical Methods using Matlab. 4 th ed: editorial Person. Muñoz, F. (2020). Métodos numéricos para ingenieros químicos con Matlab. Recuperado 7 de julio de 2021, website: https://www.researchgate.net/publication/344780662_METODOS_NUMERICOS_PARA_ING ENIEROS_QUIMICOS_CON_MATLAB
Palm III, W. (2019). Matlab for Engineering Applications. 4 th ed: McGraw-Hill Companies, Inc.
Roa, O. (2018). Reseña del libro “Métodos numéricos para ingenieros”. Investigatio, (10), 85-88. https://doi.org/10.31095/irr.v0i10.177
Copyright
The Revista de la Universidad del Zulia declares that it recognizes the rights of the authors of the original works published in it; these works are the intellectual property of their authors. The authors preserve their copyright and share without commercial purposes, according to the license adopted by the journal..
This work is under license:
Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)