Dynamic simulation of constrained mechanical systems using recursive projection algorithm

Journal of the Brazilian Society of Mechanical Sciences and Engineering

Volumn 28, Issue 1, 2006, Pages 37-44

  Attia, Hazem A ^a,b  

^a QASSIM UNIVERSITY   (Saudi Arabia)

^b Fayoum University   (Egypt)

Author keywords

Dynamic simulation; Equations of motion; Mechanical systems; Mechanisms; Recursive projection

Indexed keywords

ALGORITHMS; ANGLE MEASUREMENT; COMPUTER SIMULATION; EQUATIONS OF MOTION; KINEMATICS; RECURSIVE FUNCTIONS; ROTATION;

CARTESIAN COORDINATES; MECHANICAL SYSTEMS; RECURSIVE PROJECTION; RIGID BODIES;

MECHANICAL CONTROL EQUIPMENT;

EID: 33645313759     PISSN: 16785878     EISSN: 18063691     Source Type: Journal    
DOI: 10.1590/S1678-58782006000100004     Document Type: Article

References (14)

1. Attia, H.A., 1993, A Computer-Oriented Dynamical Formulation with Applications to Multibody Systems, Ph.D. Dissertation, Department, of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University.
2. Attia, H.A., 1998, "Formulation of the equations of motion for the RRRR robot manipulator", Transactions of the Canadian Society for Mechanical Engineers, vol. 22, No. 1, pp. 83-93.
3. Attia, H.A., 2004, "Equations of motion of planar mechanical systems based on particle dynamics and a recursive algorithm", Proceedings of the Institution of Mechanical Engineers (IMechE) Part K: Journal of Multi-body Dynamics, Vol. 218, No. 1, pp. 31-38.
4. Denavit, J., Hartenberg, R.S., 1955, "A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices", ASME Journal of Applied Mechanics, pp. 215-221.
5. De Jalon, J.G., Unda, J., Avello, A., and Jimenez, J.M., 1986, "Dynamic analysis of three-dimensional mechanisms in 'Natural' coordinates", ASME Paper No. 86-DET-137.
6. De Jalon, J.G. and Bayo, E., 1994, "Kinematic and dynamic simulation of multibody systems", Springer-Verlag.
7. Goldstein, H., 1950, Classical mechanics, Addison-Wesley, Reading, Mass.
8. Gear, C.W., 1988, "Differential-algebraic equations index transformations", SIAM Journal of Scientific and Statistical Computing 9, pp. 39-47.
9. Kim S.S., And Vanderploeg, M.J., 1968, "A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformation", ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, No. 2, pp. 176-182, 1986.
10. Nikravesh P.E., 1988, Computer Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, N.J..
11. Nikravesh, P.E., and Gim, G., 1989, "Systematic Construction of the Equations of Motion for Multibody Systems Containing Closed Kinematic Loop", ASME Design Conference.
12. Nikravesh, P.E. and Attia, H.A., 1994, "Construction of the equations of motion for multibody dynamics using point and joint coordinates," Computer-Aided Analysis of Rigid and Flexible Mechanical Systems, Kluwer Academic Publications, NATO AST, Series E: Applied Sciences-vol. 268, pp. 31-60.
13. Orlandea, N., Chace, M.A., And Calahan, D.A., 1977, "A Sparsity-Oriented Approach to Dynamic Analysis and Design of Mechanical Systems, Part I and II", ASME Journal of Engineering for Industry, Vol. 99, pp. 773-784.
14. Sheth P.N. and Uicker, Jr.JJ., 1972, "IMP (Integrated Mechanisms Program), A Computer-Aided Design Analysis System for Mechanisms Linkages", ASME Journal of Engineering for Industry, Vol. 94, pp. 454-468.