Browse > Article

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)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.7, 2004 , pp. 1086-1093 More about this Journal
Abstract
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.
Keywords
Dynamic Equilibrium; Constant Accelerated Motion; Constrained Multibody System; Modal Analysis; Relative Coordinate;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems /
[ Wehage,R.A.;Haug,E.J. ] / ASME Journal of Mechanical Design   DOI
2 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   DOI
3 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   DOI
4 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   DOI
5 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   DOI   ScienceOn
6 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   DOI   ScienceOn
7 LMSCADSI Inc., 2002, DADS User's Manual
8 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   DOI   ScienceOn
9 FunctionBay Inc., 2002, RecurDyn User's Manual Ver. 4
10 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   DOI
11 MSC. Software Corporation, 2003, ADAMS User's Guide
12 Nikravesh, P. E., 1988, Computer-Aided Analysis of Mechanical Systems, Prentice Hall, International Inc.
13 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   DOI
14 Paul, B., 1977, 'Dynamic Analysis of Machinery via Program DYMAC,' SAE Paper 770049, Warrendale, PA
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   DOI
16 Rosenberg, R. M., 1977, Analytical Dynamics of Discrete Systems, Plenum Press
17 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   DOI