Numerical Modeling of the Dynamics of the Motor Wheel.Case of Rolling Without Sliding

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Abstract

The wheel is a very important machine part. It is very often found in the construction of the vehicles. Therefore its dynamics must be studied properly. In the paper is presented the dynamical survey of a wheel which climbs on an inclined plane under the action of an active moment produced by an engine. The case of rolling without sliding was taken under consideration in the paper. The approach of the problem is a numerical one. The differential equations describing the movement of the motor wheel were written in matrix form. The paper also presents a method of removing of the constraint forces from the differential equations of motion.

[1] Vâlcovici V., Bălan Şt., Voinea R., Mecanica Teoretică, Bucureşti, Editura Tehnică, 1968.

[2] Voinea R., Voiculescu D., Ceauşu V., Mecanica, Bucureşti, Editura Didactică şi Pedagogică, 1983, pp.351-355.

[3] Ştefan Staicu, Aplicaţii ale calculului matriceal în mecanica solidelor, Bucureşti, Editura Academiei R.S.R, 1983.

[4] Kamman J.V., Houston R.L., Dynamics of Constraint Multibody Systems, 1984, ASME, Journal of Applied Mechanics, volume 51, pp. 899-903.

[5] Jorge Angeles, Sang Koo Lee, The Formulation of Dynamical Equations of Holonomic Mechanical Systems Using a Natural Orthogonal Complement, Journal of Applied Mechanics, March 1988, volume 55 pp. 243-244.

[6] Houston R.L., Methods of Analysis of Constrained Multibody Systems, 1989, Mechanics of Structures and Machines, volume 17, No.2, pp. 135-143

[7] Nikraves P.E., Systematic Reduction of Multibody Equations of Motion to a Minimal Set, 1990, International Journal of Non-Linear Mechanics, volume 25, pp. 143-151.

[8] Papastravidis J.P., Maggi’s Equations of Motion and the determination of Constrained Reactions, 1990, AIAA Journal of Guidance, Control and Dynamics.

[9] J.G. Papastavridis, On the Transitivity Equations of Rigid-Body Dynamics, Journal of Applied Mechanics, 1992, volume 59 pp. 955-962.

[10] W. Blajer, A Projection Method Approach to Constrained Dynamic Analysis, September 1992, Journal of Applied Mechanics, volume 59 pp. 643-649.

[11] W. Blajer, D. Bestle, W. Schiehlen, An Orthogonal Matrix Formulation for Constrained Multibody Systems, June 1994, Journal of Mechanical Design, volume 116 pp. 423-428.

[12] S.D. Muşat, Ecuaţii de tip Euler pentru solidul rigid deduse din ecuatiile lui Lagrange, 1995, A XIX-a Conferinţă de Mecanica Solidelor, volume 2 pp. 219-226.

[13] Ştefan Staicu, Mecanica Teoretică, Bucureşti, Editura Didactică şi Pedagogică R.A., 1998.

[14] Florin Bauşic, Mecanica Teoretică. Dinamica. Mecanica Analitică., Bucureşti, Editura Conspress, 2004.

[15] Wojchiech Blajer, On the Determination of Joint Reactions in Multibody Mechanisms, 2004, Journal of Mechanical Design, volume 126, pp. 341-350.

[16] Polidor Bratu, Mecanica Teoretică., Bucureşti, Editura Impulse, 2006.

[17] Staicu Şt., On the Determination of Joint Reactions in Multibody Mechanisms, September, 2009, Multibody Systems Dynamics, Springer, volume 22, No.2, pp. 115-132.

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