SOLVING DIFFERENTIAL ALGEBRAIC EQUATIONS FOR SLIDER-CRANK MECHANISMS

Authors

  • ABDELOUAHAB ZAATRI Université des Frères Mentouri Constantine 1
  • NORELHOUDA AZZIZI Université des Frères Mentouri Constantine 1

Keywords:

DAE, ODE, Euler-Lagrange systems, dynamic modeling, multibody systems

Abstract

The paper deals with the simulation of  dynamical models of  constrained multibody systems which can be formulated as a set of  Differential Algebraic Equations (DAEs). We consider the general dynamical model resulting from Euler-Lagrange formulation. We investigate the solution with the index reduction method. We illustrate our analysis by the example of the slider-crank mechanism. Among many possible representations, we derive a dynamical model based on two variables offering an easier analysis and implementation. We solve the DAE problem with a Matlab function (ode15s) which is dedicated to solve stiff Ordinary Differential Equations (ODEs). Concordant simulation results have been obtained in comparison to other methods proving an acceptable stability and accuracy of the used method for solving this problem.

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Author Biographies

ABDELOUAHAB ZAATRI, Université des Frères Mentouri Constantine 1

Département de Génie mécanique, Faculté des sciences de l'ingénieur

NORELHOUDA AZZIZI, Université des Frères Mentouri Constantine 1

Département de mathématiques, faculté des Sciences exactes

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Published

2018-06-30

How to Cite

ZAATRI, A., & AZZIZI, N. (2018). SOLVING DIFFERENTIAL ALGEBRAIC EQUATIONS FOR SLIDER-CRANK MECHANISMS. Sciences & Technology. A, Exactes Sciences, (47), 9–14. Retrieved from https://revue.umc.edu.dz/a/article/view/2801

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