Impulse response functions (IRFs) and frequency response functions (FRFs) are bases for modal parameter identification of single-input, single-output (SISO) and multiple-input, multiple-out (MIMO) systems, and the two functions can be transformed from each other using the fast Fourier transform and the inverse fast Fourier transform. An efficient iterative algorithm is developed in this work to directly and accurately calculate the IRFs of SISO and MIMO systems in the time domain using relatively short input and output data series. The iterative algorithm can avoid the time-consuming inversion of a large matrix in the conventional least-square method for calculating an IRF, greatly reducing the computation time. In addition, a fitting index and an error energy decreasing coefficient are introduced to evaluate the accuracy in calculating an IRF and to provide the termination criterion for the iterative algorithm. A new coherence function is also introduced to evaluate the accuracy of calculated IRFs and FRFs at different spectral lines. Two examples are given to illustrate the effectiveness and efficiency of the methodology.
Skip Nav Destination
e-mail: wzhu@umbc.edu
Article navigation
December 2011
Technical Briefs
An Efficient Iterative Algorithm for Accurately Calculating Impulse Response Functions in Modal Testing
J. M. Liu,
J. M. Liu
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
Search for other works by this author on:
W. D. Zhu,
W. D. Zhu
Department of Mechanical Engineering,
e-mail: wzhu@umbc.edu
University of Maryland
, Baltimore County, Baltimore, MD 21250
Search for other works by this author on:
Q. H. Lu,
Q. H. Lu
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
Search for other works by this author on:
G. X. Ren
G. X. Ren
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
Search for other works by this author on:
J. M. Liu
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
W. D. Zhu
Department of Mechanical Engineering,
University of Maryland
, Baltimore County, Baltimore, MD 21250e-mail: wzhu@umbc.edu
Q. H. Lu
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
G. X. Ren
Department of Mechanics,
Tsinghua University
, Beijing 100084, China
J. Vib. Acoust. Dec 2011, 133(6): 064505 (9 pages)
Published Online: November 28, 2011
Article history
Received:
April 5, 2011
Revised:
September 16, 2011
Accepted:
September 25, 2011
Online:
November 28, 2011
Published:
November 28, 2011
Citation
Liu, J. M., Zhu, W. D., Lu, Q. H., and Ren, G. X. (November 28, 2011). "An Efficient Iterative Algorithm for Accurately Calculating Impulse Response Functions in Modal Testing." ASME. J. Vib. Acoust. December 2011; 133(6): 064505. https://doi.org/10.1115/1.4005221
Download citation file:
Get Email Alerts
Cited By
Boundary-Element Analysis of the Noise Scattering for Urban Aerial Mobility Vehicles: Solver Development and Assessment
J. Vib. Acoust (October 2024)
Related Articles
Three Dimensional Absolute Nodal Coordinate Formulation for Beam Elements: Implementation and Applications
J. Mech. Des (December,2001)
Dynamic Analysis of Laminated Composite Coated Beams Carrying Multiple Accelerating Oscillators Using a Coupled Finite Element-Differential Quadrature Method
J. Appl. Mech (November,2009)
Mechanics of Deformable Solids: Linear and Nonlinear, Analytical and
Computational Aspects
Appl. Mech. Rev (November,2001)
Real-Time Transient Three Spool Turbofan Engine Simulation: A Hybrid Approach
J. Eng. Gas Turbines Power (September,2009)
Related Proceedings Papers
Related Chapters
Phase Estimation Based Channel Equalization Technique for 64-QAM Communication
International Conference on Computer and Automation Engineering, 4th (ICCAE 2012)
Fitting a Function and Its Derivative
Intelligent Engineering Systems Through Artificial Neural Networks, Volume 17
Supplementary Material
Vibrations of Linear Piezostructures