Browse > Article

Dynamic Analysis of Multi-body Systems Considering Probabilistic Properties  

Choi, Dong-Hwan (School of Mechanical Engineering, Hanyang University)
Lee, Se-Jeong (Department of Mechanical and Information Engineering, University of Seoul)
Yoo, Hong-Hee (School of Mechanical Engineering, Hanyang University)
Publication Information
Journal of Mechanical Science and Technology / v.19, no.spc1, 2005 , pp. 350-356 More about this Journal
Abstract
A method of dynamic analysis of mechanical systems considering probabilistic properties is proposed in this paper. Probabilistic properties that result from manufacturing tolerances can be represented by means and standard deviations (or variances). The probabilistic characteristics of dynamic responses of constrained multi-body systems are obtained by two ways : the proposed analytical approach and the Monte Carlo simulation. The formerpaper, necessitates sensitivity information to calculate the standard deviations. In this a direct differentiation method is employed to find the sensitivities of constrained multi-body systems. To verify the accuracy of the proposed method, numerical examples are solved and the results obtained by using the proposed method are compared to those obtained by Monte Carlo simulation.
Keywords
Manufacturing Tolerance; Multibody System; Probabilistic Property; Monte Carlo Method; Direct Differentiation Method (DDM);
Citations & Related Records
연도 인용수 순위
  • Reference
1 Serban, R. and Freeman, J. S., 1996, Direct Differentation Methods for the Design Sensitivity of Multibody Dynamic Systems, The 1996 ASME Design Engineering Technical Conferences and Computers in Engineering Conference August 18-22, DETC/DAC-1087
2 Stoenescu, E. D. and Marghitu, D. B., 2003 Dynamic Analysis of a Planar Rigid-link Mec hanism with Rotating Slider Joint and Clearance, Journal of Sound and Vibration, Vol. 266 pp.394-404   DOI   ScienceOn
3 Lee, S. J., 1989, Performance Reliability and Tolerance Allocation of Stochastically Defined Mechanical Systems, Ph.D. Dissertation, The Pennsylvania State University
4 Ravn P. A., 1998, Continuous Analysis Method for Planar Multibody Systems with Clearance, Multibody System Dynamics, Vol. 2, pp.1-24   DOI
5 Rubinstein, R. Y., 1981, Simulation and Monte Carlo Method, John Wiley and Sons
6 Garret, R. E. and Hall, A. S., 1969, Effects of Tolerance and Clearance in Linkage Design, Journal of Engineering for Industry, ASME, Vol. 91, pp. 198-202
7 Gilmore, B. J. and Cipra, R. J., 1991, Simulation of Planar Dynamic Mechanical Systems with Changing Topologies: Part I - Characterization and Prediction of the Kinematic Constraint Changes, Part II - Implementation Strategy and Simulation Results for Example Dynamic System, Journal of Mechanical Design, ASME, Vol. 113, pp.70-83
8 Hartenberg, R. S., and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York
9 Haug, E. J., 1987, Design Sensitivity Analysis of Dynamic Systems, Computer-Aided Design: Structural and Mechanical Systems, C. A. Mota-Soares, Ed., Springer-Verlag, Berlin
10 Dobowsky, S., 1974, On Predicting the Dynamic Effects of Clearances in Planar Mechanisms, Journal of Engineering for Industry, ASME, Vol. 96, No.1, pp. 317-323
11 Dobowsky, S., Deck, J. F. and Costello, H., 1987, The Dynamic Modeling of Flexible Spatial Machine Systems with Clearance Connections, Journal of Mechanisms, Transmissions and A utomation in Design, ASME, Vol. 109, pp. 87-94   ScienceOn
12 Farahanchi, F. and Shaw, S. W., 1994, Chaotic and Periodic Dynamics of A Slider-Crank Mechanism with Slider Clearance, Journal of Sound and Vibration, Vol. 177, No.3, pp. 307-324   DOI   ScienceOn
13 Choi, J. H., Lee, S. J. and Choi, D. H., 1998, Stochastic Linkage Modeling for Mechanical Error Analysis of Planar Mechanisms, Mechanics of Structures and Machines, Vol. 26, No. 3, pp.257-276
14 Dobowsky, S. and Freudenstein, F., 1971, Dynamic Analysis of Mechanical Systems with Clearances, Part 1 : Formulation of Dynamic Model, Journal of Engineering for Industry, ASME, Vol. 90, No.1, pp. 305-316
15 Brenan, K. B., Campbell, S. L. and Petzold, L. R., 1989, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, North Holland Publishing Co., New York, N.Y.