Journal of Mechanical Science and Technology

  • 제18권7호
  • /
  • Pages.1086-1093
  • /
  • 2004
  • /
  • 1738-494X(pISSN)
  • /
  • 1976-3824(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
권호 표지

Modal Analysis of Constrained Multibody Systems Undergoing Constant Accelerated Motions

  • Park, Dong-Hwan (School of Mechanical Engineering, Hanyang University) ;
  • Yoo, Hong-Hee (School of Mechanical Engineering, Hanyang University)
  • 발행 : 2004.07.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The modal characteristics of constrained multibody systems undergoing constant accelerated motions are investigated in this paper. Relative coordinates are employed to derive the equations of motion, which are generally nonlinear in terms of the coordinates. The dynamic equilibrium position of a constrained multibody system needs to be obtained from the nonlinear equations of motion, which are then linearized at the dynamic equilibrium position. The mass and the stiffness matrices for the modal analysis can be obtained from the linearized equations of motion. To verify the effectiveness and the accuracy of the proposed method, two numerical examples are solved and the results obtained by using the proposed method are compared with those obtained by analytical and other numerical methods. The proposed method is found to be accurate as well as effective in predicting the modal characteristics of constrained multibody systems undergoing constant accelerated motions.

키워드

참고문헌

  1. Bae, D. S. and Haug, E. J., 1987, 'A Recursive Formulation for Constrained Mechanical System Dynamics : Part Ⅰ. Open Loop Systems,' Mechanics of Structures and Machines, Vol. 15, No. 3, pp. 359-382 https://doi.org/10.1080/08905458708905124
  2. Bae, D. S. and Haug, E. J., 1987, 'A Recursive Formulation for Constrained Mechanical System Dynamics: PartⅡ. Closed Loop Systems,' Mechanics of Structures and Machines, Vol. 15, No. 4, pp. 481-506 https://doi.org/10.1080/08905458708905130
  3. FunctionBay Inc., 2002, RecurDyn User's Manual Ver. 4
  4. Haug, E. J., Wehage, R. A., Barman, N. C., 1982, 'Dynamic Analysis and Design of Constrained Mechanical Systems,' ASME Journal of Mechanical Systems, Vol. 104, pp. 778-784 https://doi.org/10.1115/1.3256436
  5. Kim, S. S., Vanderploeg, M. J., 1986, 'A General and Efficient Method for Dynamic Analysis of Mechanical Systems Using Velocity Transformations,' ASME Journal of Mechanisms, Transmissions and Automation in Design, Vol. 108, pp. 176-182 https://doi.org/10.1115/1.3260799
  6. LMSCADSI Inc., 2002, DADS User's Manual
  7. Lynch, A. G. adn Vanderploeg, M. J., 1995, 'A Symbolic Formulation for Linearization of Multibody Equation of Motion,' ASME Journal of Mechanical Design, Vol. 117, pp. 441-445 https://doi.org/10.1115/1.2826698
  8. MSC. Software Corporation, 2003, ADAMS User's Guide
  9. Nikravesh, P. E., 1988, Computer-Aided Analysis of Mechanical Systems, Prentice Hall, International Inc.
  10. Nikravesh, P. E. and Srinivasan, M., 1985, 'Generalized Coordinate Partitioning in Static Equilibrium Analysis of Large-Scale Mechanical Systems,' International Journal for Numerical Methods in Engineering, Vol. 21, pp. 451-464 https://doi.org/10.1002/nme.1620210306
  11. Orlandea, N., Chace, M. A., and Calahan, D. A., 1977, 'A Sparsity-Oriented Approach to The Dynamic Analysis And Design of Mechanical Systems,' ASME Journal of Engineering for Industry, Vol. 99, pp. 773-784 https://doi.org/10.1115/1.3439312
  12. Paul, B., 1977, 'Dynamic Analysis of Machinery via Program DYMAC,' SAE Paper 770049, Warrendale, PA
  13. Rosenberg, R. M., 1977, Analytical Dynamics of Discrete Systems, Plenum Press
  14. Sheth, P. N. and Uicker Jr., J. J., 1972, 'IMP(Integrated Mechanisms Program) : A Computer Aided Design Analysis System for Mechanisms and Linkages,' ASME Journal of Engineering for Industry, Vol. 94, pp. 454-464 https://doi.org/10.1115/1.3428176
  15. Sohoni, V. N. and Whitesell, J., 1986, 'Automatic Linearization of Constrained Dynamical Models,' ASME Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 108, pp. 300-304 https://doi.org/10.1115/1.3258730
  16. Wehage, R. A. and Haug, E. J., 1982, 'Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems,' ASME Journal of Mechanical Design, Vol. 104, No. 1, pp. 247-255 https://doi.org/10.1115/1.3256318
  17. ASME Journal of Mechanical Design v.104 no.1 Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems Wehage,R.A.;Haug,E.J. https://doi.org/10.1115/1.3256318