Advertisement

Optimal design method for force in vibration control of multi-body system with quick startup and brake

  • Tang Hua-ping Email author
  • Peng Ya-qing 
Article

Abstract

A kind of active vibration control method was presented through optimal design of driving load of multibody system with quick startup and brake. Dynamical equation of multi-body system with quick startup and brake was built, and mathematical model of representing vibration control was also set up according to the moving process from startup to brake. Then optimization vibration control model of system driving load was founded by applying theory of optimization control, which takes rigid body moving variable of braking moment as the known condition, and vibration control equation of multi-body system with quick startup and brake was converted into boundary value problem of differential equation. The transient control algorithm of vibration was put forward, which is the analysis basis for the further research. Theoretical analysis and calculation of numerical examples show that the optimal design method for the multi-body system driving load can decrease the vibration of system with duplication.

Key words

vibration multi-body system active control 

CLC number

TH137 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Seung B C, Chae C C. Vibration control of flexible linkage mechanisms using piezoelectric flims[J]. Mech Mach Theory, 1994, 29 (4): 535–546.CrossRefGoogle Scholar
  2. [2]
    ZHANG Xian-min. Investigation for the active control of flexible linkage mechanisms’ remaining vibration [J]. Journal of Vibration Engineering, 1999, 12 (3): 397–402. (in Chinese)Google Scholar
  3. [3]
    QU Wen-zhong, SUN Jin-cai, QIU Yang. Active control of vibration using a fuzzy control method. [J]. Journal of Sound and Vibration, 2004, 275 (3 – 5): 917–930.MathSciNetzbMATHGoogle Scholar
  4. [4]
    XIN Ming, Balakrishnan S N, HUANG Zhong-wu, Robust state dependent Riccati equation based robot manipulator control [A]. Proceedings of the 2001 IEEE International Conference on Control Applications [C]. Piscataway: IEEE, 2001. 369–374.Google Scholar
  5. [5]
    Kajiwara K, Hayatu M, Imaoka S, et al. Large scale active micro-vibration control system using piezoelectric actuators applied to semiconductor manufacturing equipment[J]. JSME, 1997, 63(3): 3735–3742.CrossRefGoogle Scholar
  6. [6]
    Sung C K, Chen Y C. Vibrations control of the elaste dynamic response of high-speed flexible linkage mechanisms[J]. Journal of Vibration and Acoustics, 1991, 113(1): 14–21.CrossRefGoogle Scholar
  7. [7]
    Liao C Y, Sung C K. Elastodynamic analysis and control of flexible linkages using piezoelectric sensors and actuators [J]. Journal of Mechanical Design, 1993, 115: 658–665.CrossRefGoogle Scholar
  8. [8]
    Thompson B S, Tao X. A note on the experimentally determined elastodynamic response of a slider-crank mechanism featuring a macroscopically smart connecting rod with ceramic piezoelectric actuators and gage sensors [J]. Journal of Sound and Vibration, 1995, 187(4): 718–723.CrossRefGoogle Scholar
  9. [9]
    Langlois R G, Anderson R J. Multi-body dynamics of very flexible damped systems[J]. Shock and Vibration Digest, 2000, 32 (1): 65.Google Scholar
  10. [10]
    Pan W, Haug E J. Flexible multi-body dynamic simulation using optimal lumped inertia matrices [J]. Computer Methods in Applied Mechanics and Engineering, 1999, 173 (1–2): 189–200.CrossRefGoogle Scholar
  11. [11]
    Nikravesh Parviz E, Ambrosio Jorge A C. Automatic construction of equations of motion for rigid-flexible multi-body systems[A]. Winter Annual Meeting of the American Society of Mechanical Engineers [C]. New York: ASME, 1992, 141: 125–132.Google Scholar
  12. [12]
    TANG Hua-ping, KONG Xiang-an. Tree-shaped multi-body system dynamics building model method of successively deducing group gather[J]. Journal of Southwest Jiaotong University, 1999, 34 (3):284–289. (in Chinese)Google Scholar
  13. [13]
    LI Qing-yang, GUAN Zhi, BAI Feng-bin. Compiling, Numerical Value Calculating Method[M]. Beijing: TsingHua University Press, 2000. (in Chinese)Google Scholar
  14. [14]
    Kim S S. Nordsieck form of multirate integration method for flexible multi-body dynamic analysis[J]. Polish Academy of Sciences, 2002, 9 (3): 391–403.zbMATHGoogle Scholar
  15. [15]
    Oskar W, Simon W. Flexible multi-body system applications using nodal and modal coordinates [A]. 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference[C]. Chicago: American Society of Mechanical Engineers, 2003, 21–28.Google Scholar
  16. [16]
    Rugi E. Integrated structure and controller systems: A design procedure for controlled multi-body flexible high performance mechanisms [A]. 9th European Space Mechanisms and Tribology Syposium [C]. Liege: European Space Agency, 2001. 239–248.Google Scholar
  17. [17]
    LIU Wei-jiu. Optimal boundary obstacle of the string vibration[A]. Proceedings of the 2000 IEEE International Conference on Control Applications[C]. Piscataway: Institute of Electrical and Electronics Engineers Inc, 2000. 959–964.Google Scholar

Copyright information

© Central South University 2005

Authors and Affiliations

  1. 1.School of Mechanical and Electrical EngineeringCentral South UniversityChangshaChina

Personalised recommendations