Journal of Mechanical Science and Technology

  • 제18권4호
  • /
  • Pages.550-559
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  • 2004
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  • 1738-494X(pISSN)
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  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

A Recursive Algorithm for Generating the Equations of Motion of Spatial Mechanical Systems with Application to the Five-Point Suspension

  • Attia, Hazem-Ali (Department of Mathematics, College of Science, King Saud University)
  • 발행 : 2004.04.01
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초록

In this paper, a recursive formulation for generating the equations of motion of spatial mechanical systems is presented. The rigid bodies are replaced by a dynamically equivalent constrained system of particles which avoids introducing any rotational coordinates. For the open-chain system, the equations of motion are generated recursively along the serial chains using the concepts of linear and angular momenta Closed-chain systems are transformed to open-chain systems by cutting suitable kinematic joints and introducing cut-joint constraints. The formulation is used to carry out the dynamic analysis of multi-link five-point suspension. The results of the simulation demonstrate the generality and simplicity of the proposed dynamic formulation.

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참고문헌

  1. Attia, H. A., 1993, A Computer-Oriented Dynamical Formulation with Applications to Multibody Systems, Ph.D. Dissertation, Deparment 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. Denavit, J., Hartenberg, R. S., 1955, 'A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices,' ASME Journal of Applied Mechanics, pp. 215-221
  4. De Jalon, J. G. and Bayo, E., 1994, 'Kinematic and Dynamic Simulation of Multibody Systems,' Springer
  5. Goldstein, H., 1950, Classical mechanics, Addison-Wesley, Reading, Mass
  6. Kim, S. S. and Vanderploeg, M. J., 1986, '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 https://doi.org/10.1115/1.3260799
  7. Nikravesh, P. E., 1988, Computer Aided Analysis of Mechanical Systems, Prentice-Hall, Englewood Cliffs, N.J
  8. Nikravesh, P. E. and Gim, G., 1989, 'Systematic Construction of the Equations of Motion for Multibody Systems Containing Closed Kinematic Loop,' ASME Design Conference
  9. Nikravesh, P. E. and Affifi, 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 ASI, Series E : Applied Sciences-Vol. 268, pp. 31-60
  10. 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 https://doi.org/10.1115/1.3439312
  11. Sheth, P. N. and Uicker, Jr. J. J., 1972, 'IMP (Integrated Mechanisms Program), A Computer-Aided Design Analysis System for Mechanisms Linkages,' ASME Journal of Engineering for Industry, Vol. 94, p. 454 https://doi.org/10.1115/1.3428176