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

Open access


When the dynamic study of a solid rigid body subjected to links is wanted to be performed, the main difficulty is that the differential equations of motion contain in their structure the constraint forces which are unknown. Therefore it is necessary to remove them from the differential equations that describe the motion of the rigid body. The case of a wheel climbing on an inclined plane has been presented in this paper. It is considered that the wheel is rolling without sliding on an inclined plane.

If the inline PDF is not rendering correctly, you can download the PDF file here.

  • [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

Journal information
All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 35 35 4
PDF Downloads 35 35 9