Solution approaches to differential equations of mechanical system dynamics: a case study of car suspension system

Terefe, Tesfaye O.; Lemu, Hirpa G

doi:10.12913/22998624/85662

Artykuł - szczegóły

Tytuł artykułu

Solution approaches to differential equations of mechanical system dynamics: a case study of car suspension system

Autorzy

Terefe Tesfaye O. , Lemu Hirpa G

Treść / Zawartość

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DOI

10.12913/22998624/85662

Warianty tytułu

Języki publikacji

Abstrakty

Solution of a dynamic system is commonly demanding when analytical approaches are used. In order to solve numerically, describing the motion dynamics using differential equations is becoming indispensable. In this article, Newton’s second law of motion is used to derive the equation of motion the governing equation of the dynamic system. A quarter model of the suspension system of a car is used as a case and sinusoidal road profile input was considered for modeling. The state space representation was used to reduce the second order differential equation of the dynamic system of suspension model to the first order differential equation. Among the available numerical methods to solve differential equations, Euler method has been employed and the differential equation is coded MATLAB. The numerical result of the second degree of freedom, quarter suspension system demonstrated that the approach of using numerical solution to a differential equation of dynamic system is suitable to easily simulate and visualize the system performance.

Słowa kluczowe

numerical method Euler method differential equation suspension system MATLAB mechanical system modeling

metoda numeryczna Metoda Eulera równanie różniczkowe zawieszenie MATLAB modelowanie układów mechanicznych

Wydawca

Lublin University of Technology
Polish Society of Ecological Engineering (PTIE), Branch of PTIE in Lublin

Czasopismo

Advances in Science and Technology. Research Journal

Rocznik

2018

Tom

Vol. 12, no 2

Strony

266--273

Opis fizyczny

Bibliogr. 21 poz., fig.

Twórcy

autor

Terefe Tesfaye O.

tesfitti2016@gmail.com

School of Mechanical Engineering, Jimma University, 378 Jimma, Ethiopia

autor

Lemu Hirpa G

Hirpa.g.lemu@uis.no

Faculty of Science and Technology, University of Stavanger, N-4036 Stavanger, Norway

Bibliografia

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8. Karnopp, D.C., Margolis, D.L. and Rosenberg, R.C., System dynamics: modeling, simulation, and control of mechatronic systems, 5th ed., 2012, John Wiley & Sons, NJ.
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13. Sharp, R. S. and Hassan, A. S., The relative performance capabilities of passive, active and semiactive car suspensions, Proceedings of Institution of Mechanical Engineers 20(D3), 1986, 219-228.
14. Sharp, R.S. and Crolla, D.A., Road vehicle suspension system design - a review, Vehicle System Dynamics, 16(3), 1987, 167 – 192.
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16. Spencer, B.F., Dyke, D.J., Sain, M.K. and Carlson, J,D., Phenomenological model of a magnetorheological damper. Journal of Engineering Mechanics, 123(3), 1997, 230–238.
17. Thohura, S. and Rahman, A., Numerical approach for solving stiff differential equations: A comparative study, Global Journal of Science Frontier Research Mathematics and Decision Sciences, 13, 2013.
18. Thoresson, M.J., Uys, P.E., Els, P.S. and Snyman, J.A., Efficient optimisation of a vehicle suspension system using a gradient based approximation method, Part 1: Mathematical modelling. Mathematical and Computer Modelling, 50, 2009, 1421 – 1436.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).

Typ dokumentu

Bibliografia

Identyfikator YADDA

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