Journal of Central South University

, Volume 22, Issue 1, pp 159–167 | Cite as

Stiffness identification of four-point-elastic-support rigid plate

  • Li-ping Peng (彭利平)
  • Chu-sheng Liu (刘初升)
  • Ji-da Wu (武继达)
  • shuai Wang (王帅)
Article
First Online:
Received:
Accepted:

Abstract

As the stiffness of the elastic support varies with the physical-chemical erosion and mechanical friction, model catastrophe of a single degree-of-freedom (DOF) isolation system may occur. A 3-DOF four-point-elastic-support rigid plate (FERP) structure is presented to describe the catastrophic isolation system. Based on the newly-established structure, theoretical derivation for stiffness matrix calculation by free response (SMCbyFR) and the method of stiffness identification by stiffness matrix disassembly (SIbySMD) are proposed. By integrating the SMCbyFR and the SIbySMD and defining the stiffness assurance criterion (SAC), the procedures for stiffness identification of a FERP structure (SIFERP) are summarized. Then, a numerical example is adopted for the SIFERP validation, in which the simulated tested free response data are generated by the numerical methods, and operation for filtering noise is conducted to imitate the practical application. Results in the numerical example demonstrate the feasibility and accuracy of the developed SIFERP for stiffness identification.

Key words

stiffness identification four-point-elastic-support rigid plate free response stiffness matrix disassembly 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    RIVIN E I. Passive vibration isolation [M]. New York: ASME Press, 2001.Google Scholar
  2. [2]
    VIRGIN L N, SANTILLAN S T, PLAUT R H. Vibration isolation using extreme geometric nonlinearity [J]. Journal of Sound and Vibration, 2008, 315(3): 721–731.CrossRefGoogle Scholar
  3. [3]
    CARRELLA A, BRENNAN M J, WATERS T P, SHIN K. On the design of a high-static-low-dynamic stiffness isolator using linear mechanical springs and magnets [J]. Journal of Sound and Vibration, 2008, 315(3): 712–720.CrossRefGoogle Scholar
  4. [4]
    PRAWOTO Y, IKEDA M, MANVILLE S K, NISHIKAWA A. Design and failure modes of automotive suspension springs [J]. Engineering Failure Analysis, 2008, 15(8): 1155–1174.CrossRefGoogle Scholar
  5. [5]
    LUO R K, WU W X. Fatigue failure analysis of anti-vibration rubber spring [J]. Engineering Failure Analysis, 2006, 13(1): 110–116.CrossRefGoogle Scholar
  6. [6]
    HOQUE E M, MIZUNO T, ISHINO Y, TAKASAKI M. A six-axis hybrid vibration isolation system using active zero-power control supported by passive weight support mechanism [J]. Journal of Sound and Vibration, 2010, 329(17): 3417–3430.CrossRefGoogle Scholar
  7. [7]
    SHYE K, RICHARDSON M. Mass, stiffness, and damping matrix estimates from structural measurements [C]// Proceedings of the Fifth International Modal Analysis Conference. London, 1987, 1: 756–761.Google Scholar
  8. [8]
    CHEN S Y, JU M S, TSUEI Y G. Estimation of mass, stiffness and damping matrices from frequency response functions [J]. Transactions of the ASME, Journal of Vibration and Acoustics, 1996, 118(1): 78–82.CrossRefGoogle Scholar
  9. [9]
    YANG T, FAN S H, LIN C S. Joint stiffness identification using FRF measurements [J]. Computers and Structures, 2003, 81(28/29): 2549–2556.CrossRefGoogle Scholar
  10. [10]
    ADHIKARI S, PHANI A S. Experimental identification of generalized proportional viscous damping matrix [J]. Transactions of the ASME, Journal of Vibration and Acoustics, 2009, 131(1): 0110081–01100812.CrossRefGoogle Scholar
  11. [11]
    OZGEN G O, KIM J H. Error analysis and feasibility study of dynamic stiffness matrix-based damping matrix identification [J]. Journal of Sound and Vibration, 2009, 320(1/2): 60–83.CrossRefGoogle Scholar
  12. [12]
    MEDINA L U, DIAZ S E, LLATAS I. Measurement uncertainty propagation in parameter identification of mechanical systems in frequency domain [C]// Proceedings of ISMA2010 Including USD2010. Leuven: Curran Associates, Inc., 2011: 5129–5141.Google Scholar
  13. [13]
    RAHMATALLA S, EUN H C, LEE E T. Damage detection from the variation of parameter matrices estimated by incomplete FRF data [J]. Smart Structures and Systems, 2012, 9(1): 55–70.CrossRefGoogle Scholar
  14. [14]
    ROEMER M J, MOOK D J. Mass, stiffness, and damping matrix identification: An integrated approach [J]. Transactions of the ASME, Journal of Vibration and Acoustics, 1992, 114(3): 358–363.CrossRefGoogle Scholar
  15. [15]
    XIAO H, BRUHNS O T, WALLER H, MEYERS A. An input/output-based procedure for fully evaluating and monitoring dynamic properties of structural systems via a subspace identification method [J]. Journal of Sound and Vibration, 2001, 246(4): 601–623.CrossRefGoogle Scholar
  16. [16]
    ZHAO X, XU Y L, LI J, CHEN J. Hybrid identification method for multi-story buildings with unknown ground motion: Theory [J]. Journal of Sound and Vibration, 2006, 291(1/2): 215–239.CrossRefGoogle Scholar
  17. [17]
    YANG J N, LEI Y, PAN S W, HUANG N. System identification of linear structures based on Hilbert-Huang spectral analysis, part 1: Normal modes [J]. Earthquake Engineering and Structural Dynamics, 2003, 32(9): 1443–1467.CrossRefGoogle Scholar
  18. [18]
    KHALIL M, ADHIKARI S, SARKAR A. Linear system identification using proper orthogonal decomposition [J]. Mechanical Systems and Signal Processing, 2007, 21(8): 3123–3145.CrossRefGoogle Scholar
  19. [19]
    WANG Bor-tsuen, CHENG Deng-kai. Modal analysis of mdof system by using free vibration response data only [J]. Journal of Sound and Vibration, 2008, 311(3/4/5): 737–755.CrossRefGoogle Scholar
  20. [20]
    WANG Bor-tsuen, CHENG Deng-kai. Modal analysis by free vibration response only for discrete and continuous systems [J]. Journal of Sound and Vibration, 2011, 330(16): 3913–3929.CrossRefGoogle Scholar
  21. [21]
    LEE H J, SCHIESSER W E. Ordinary and partial differential equation routines in C, C++, Fortran, Java, Maple, and MATLAB [M]. London: Chapman & Hall/CRC, 2004.Google Scholar
  22. [22]
    WANG Hong, LIU Chu-sheng, PENG Li-ping. Dynamic analysis of elastic screen surface with multiple attached substructures and experimental validation [J]. Journal of Central South University, 2012, 19(10): 2910–2917.CrossRefGoogle Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Li-ping Peng (彭利平)
    • 1
  • Chu-sheng Liu (刘初升)
    • 1
  • Ji-da Wu (武继达)
    • 1
  • shuai Wang (王帅)
    • 1
  1. 1.School of Mechanical and Electrical EngineeringChina University of Mining and TechnologyXuzhouChina

Personalised recommendations