DOI QR코드

DOI QR Code

Statistical Performance Estimation of a Multibody System Based on Design Variable Samples

설계변수 표본에 근거한 다물체계 성능의 통계적 예측

  • 최찬규 (한양대학교 대학원 기계공학과) ;
  • 유홍희 (한양대학교 기계공학부)
  • Published : 2009.12.01

Abstract

The performance variation of a multibody system is affected by a variation of various design variables of the system. And the effects of design variable variations on the performance variation must be considered in design of a multibody system. Accordingly, a variation analysis of a multibody system needs to be conducted in design of a multibody system. For a variation analysis of a performance, population mean and variance which are called statistical parameters of design variables are needed. However, an evaluation of statistical parameters of design variables is impossible in many practical cases. Therefore, an estimation of statistical parameters of the performance based on sample mean and variance which are called statistic of design variables is needed. In this paper, the variation analysis method for a multibody system based on design variable samples was proposed. And, using the proposed method, a variation analysis of the vehicle ride comfort based on sample statistic of design variables was conducted.

Keywords

Variation Analysis;Sensitivity;Statistical Parameter;Sample;Confidence Interval

References

  1. Hartenberg, R. S. and Denavit, J., 1964, Kinematic Synthesis of Linkages, McGraw-Hill, New York
  2. Garrett, R. E. and Hall, A. S., 1969, "Effect of Tolerance and Clearance in Linkage Design," ASME Journal of Engineering for Industry, Vol. 91, pp. 198~202 https://doi.org/10.1115/1.3591516
  3. David D. Grossman, 1976, "Monte Carlo Simulation of Tolerancing in Discrete Parts Manufacturing and Assembly," Tech. Rep. STAN0CS-76-555, Stanford AI laboratory
  4. Lee, S. J. and Gilmore, B. J., 1991, "The Determination of the Probabilistic Properties of Velocities and Accelerations in Kinematic Chains with Uncertainty," ASME Journal of Mechanical Design, Vol. 113, pp. 84~90 https://doi.org/10.1115/1.2912755
  5. Choi, D. H., 2005, "Statistical Tolerance Analysis and Modal Analysis of Multibody Systems," Hanyang University, Ph. D. Thesis
  6. Serban, R. and Freeman, J. S., 1996, "Direct Differentiation Methods for the Design Sensitivity of Multibody Dynamic Systems," The 1996 ASME Design Engineering Technical Conferences and Computers in Engineering Conference, DETC/DAC-1087
  7. Hyungho Chun, Sang Jik Kwon and Taeoh Tak, 2008, "Multibody Approach for Tolerance Analysis and Optimization of Mechanical Systems," Journal of Mechanical Science and Technology, Vol.22, pp.276~286 https://doi.org/10.1007/s12206-007-1024-7
  8. Ronald E. Walpole, Raymond H. Myers, Sharon L Myers, Keying Ye, 2002, Probability & Statistics for Engineers & Scientists, Prentice-Hall, Inc., New Jersey, pp. 230~265
  9. International Organization for Standardization, ISO 2631-1, 1997, Evaluation of Human Exposure to Whole-body Vibration-part 1: General Requirements