Modeling of dynamic mass coupled system with Runge-Kutta fourth order
This paper shows the mathematical modeling process of a mechanical system of masses coupled by two springs and a shock absorber. The process of capture of movement of the mass system coupled with springs was done with software Tracker video analysis and modeling tool. The motion capture of the coupl...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2019
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/8726
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/8726
- Palabra clave:
- Initial value problems
MATLAB
Numerical methods
Shock absorbers
Coupled systems
Mass-spring models
Matlab- software
Mechanical systems
Modeling of dynamics
Motion capture
Numerical solution
Precision model
Runge Kutta methods
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| title |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| spellingShingle |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order Initial value problems MATLAB Numerical methods Shock absorbers Coupled systems Mass-spring models Matlab- software Mechanical systems Modeling of dynamics Motion capture Numerical solution Precision model Runge Kutta methods |
| title_short |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| title_full |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| title_fullStr |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| title_full_unstemmed |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| title_sort |
Modeling of dynamic mass coupled system with Runge-Kutta fourth order |
| dc.contributor.editor.none.fl_str_mv |
Castro Suarez J.R. |
| dc.subject.keywords.none.fl_str_mv |
Initial value problems MATLAB Numerical methods Shock absorbers Coupled systems Mass-spring models Matlab- software Mechanical systems Modeling of dynamics Motion capture Numerical solution Precision model Runge Kutta methods |
| topic |
Initial value problems MATLAB Numerical methods Shock absorbers Coupled systems Mass-spring models Matlab- software Mechanical systems Modeling of dynamics Motion capture Numerical solution Precision model Runge Kutta methods |
| description |
This paper shows the mathematical modeling process of a mechanical system of masses coupled by two springs and a shock absorber. The process of capture of movement of the mass system coupled with springs was done with software Tracker video analysis and modeling tool. The motion capture of the coupled masses A and B was made with a duration of 20 seconds. A comparison of the results of the movement of the two masses will be established as a first instance, by adjusting trajectories of curves in time using Matlab software and as a second instance a numerical solution of the Mass-Spring model will be established using the Runge Kutta method of 4 order. With this last method, it is expected to achieve a better precision modeling of the initial value problem. Finally, a comparison of the two mathematical models will be made analyzing. © Published under licence by IOP Publishing Ltd. |
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2019 |
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2019-11-06T19:05:11Z |
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2019-11-06T19:05:11Z |
| dc.date.issued.none.fl_str_mv |
2019 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Conferencia |
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publishedVersion |
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IOP Conference Series: Materials Science and Engineering; Vol. 519, Núm. 1 |
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1757-8981 |
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https://hdl.handle.net/20.500.12585/8726 |
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10.1088/1757-899X/519/1/012009 |
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Universidad Tecnológica de Bolívar |
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Repositorio UTB |
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IOP Conference Series: Materials Science and Engineering; Vol. 519, Núm. 1 1757-8981 10.1088/1757-899X/519/1/012009 Universidad Tecnológica de Bolívar Repositorio UTB |
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https://hdl.handle.net/20.500.12585/8726 |
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eng |
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eng |
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Atribución-NoComercial 4.0 Internacional |
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Recurso electrónico |
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Institute of Physics Publishing |
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Institute of Physics Publishing |
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Castro Suarez J.R.Rojas, L.Molina-Cardenas, M.Caballero, E.Rojas, C.Patiño Vanegas, Alberto2019-11-06T19:05:11Z2019-11-06T19:05:11Z2019IOP Conference Series: Materials Science and Engineering; Vol. 519, Núm. 11757-8981https://hdl.handle.net/20.500.12585/872610.1088/1757-899X/519/1/012009Universidad Tecnológica de BolívarRepositorio UTBThis paper shows the mathematical modeling process of a mechanical system of masses coupled by two springs and a shock absorber. The process of capture of movement of the mass system coupled with springs was done with software Tracker video analysis and modeling tool. The motion capture of the coupled masses A and B was made with a duration of 20 seconds. A comparison of the results of the movement of the two masses will be established as a first instance, by adjusting trajectories of curves in time using Matlab software and as a second instance a numerical solution of the Mass-Spring model will be established using the Runge Kutta method of 4 order. With this last method, it is expected to achieve a better precision modeling of the initial value problem. Finally, a comparison of the two mathematical models will be made analyzing. © Published under licence by IOP Publishing Ltd.Bolivar si Innova;CAMACOL Bolivar;Consejo Profesional Nacional de Ingenieria (COPNIA);Establecimiento Publico Ambiental (EPA);et al.;Renata ColombiaRecurso electrónicoapplication/pdfengInstitute of Physics Publishinghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2https://www2.scopus.com/inward/record.uri?eid=2-s2.0-85067041904&doi=10.1088%2f1757-899X%2f519%2f1%2f012009&partnerID=40&md5=b80cbcc8f2fd0e39a7a6351150bc65afScopus 57204839037Scopus 57209255267Scopus 57209242220Scopus 17233930700Scopus 57190688459Expotecnologia 2018: Research, Innovation and Development in Engineering, 31 October 2018 through 2 November 2018Modeling of dynamic mass coupled system with Runge-Kutta fourth orderinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionConferenciahttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_c94fInitial value problemsMATLABNumerical methodsShock absorbersCoupled systemsMass-spring modelsMatlab- softwareMechanical systemsModeling of dynamicsMotion captureNumerical solutionPrecision modelRunge Kutta methodsQi, C., Zhao, X., Gao, F., Li, H., Modeling and identification of nonlinear distributed parameter dynamics of the micro-cantilever (2014) Proceedings of the 33rd Chinese Control Conference, pp. 5924-5929Chen, Z., Qi, Q., Zhou, Y., Mathematical Model and Simulation for Motion of Underwater Vehicle 2013 (2013) Sixth International Symposium on Computational Intelligence and Design, pp. 293-296Wang, D., Turitsyn, K., Chertkov, M., DistFlow ODE: Modeling, analyzing and controlling long distribution feeder (2012) IEEE 51st IEEE Conference on Decision and Control (CDC), pp. 5613-5618Rath, G., Harker, M., 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