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Synthesizing Uncorrelated Drive Files for MIMO Transmissibility Measurements on Road Simulators

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Abstract

Traditionally, road simulators have been used for durability and NVH testing of automobiles which involve estimation of simulated road inputs. The responses (ride files) are measured during actual road testing at a number of locations over different terrains which lead to the generation of the simulated road inputs by utilizing an iterative process. The process generally involves an inverse calculation so that the response measured in the actual road test of the vehicle for a given type of terrain can be replicated very closely by estimating the inputs to the four axes of the road simulator. The numerical estimation procedure of the inputs is based upon the characteristics and limitations of the specific four axis road simulator being used but it does not constrain these inputs (drive files) to the individual hydraulic actuators to be uncorrelated. The drive files to the four axis road simulators more often than not are significantly correlated which is a big hindrance to MIMO transmissibility measurements. Thus synthesis of uncorrelated drive files using the estimated correlated drive files by the way of a MATLAB® based interface is the focus of this research. The analysis shows that the auto power spectra is equivalent for the synthesized uncorrelated drive files compared to the original correlated drive files. These results are further corroborated by the experimental results obtained from the measurements done on the MTS four axis road simulator at UC-SDRL. These same methods should also be useful in estimating FRFs from drive files if the input forces can be measured.

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Abbreviations

F EQ :

Equivalent or driving force

\( R \) :

Actual input (reference)

F T :

Transmitted force

X :

Actual output

F max :

Maximum frequency that can be observed in a Spectrum

T pq :

Transmissibility function of output p with respect to reference q

F samp :

Sampling frequency of the DSA

[G XX ]:

Output output cross spectra matrix

\( {\widehat{X}}_p \) :

Spectrum of p-th output, measured

[G XR ]:

Output reference cross spectra matrix

\( {\widehat{R}}_q \) :

Spectrum of q-th reference, measured

[G RR ]:

Reference reference cross spectra matrix

\( {\nu}_q \) :

Spectrum of noise portion of reference

\( {\eta}_p \) :

Spectrum of noise portion of output

References

  1. Tse, F.S., Morse, I.E., Hinkle, R.T.: Mechanical vibrations theory and applications. Allyn and Bacon, Inc, Boston, MA (1963)

    Google Scholar 

  2. Godbole, U.N.: Vehicle road test simulation, University of Cincinnati, MS Thesis (2005).

    Google Scholar 

  3. Cryer, B.W., Nawrocki, P.E., Lund, R.A.: A road simulation system for heavy duty vehicles, SAE Technical Paper 760361 (1976).

    Google Scholar 

  4. Kim, M.G., Kim, K.S., Yoo, W.S.: Modified road profile generation using road-wheel FRF and simulation of dynamic load transfer in vehicle suspension. In: SAE International Congress and Exposition, Detroit (1999).

    Google Scholar 

  5. Bendat, J.S., Piersol, A.G.: Random data: analysis and measurement procedures. Wiley, New York (1971)

    Google Scholar 

  6. Allemang, R.J.: Investigation of some multiple input/output frequency response function experimental modal analysis techniques, University of Cincinnati, PhD Dissertation (1980).

    Google Scholar 

  7. Allemang, R.J.: Vibrations: experimental modal analysis, University of Cincinnati, UC-SDRL-CN-20-263-663/664 (2007).

    Google Scholar 

  8. Rost, R.W.: Investigation of mulitple input frequency response function estimation techniques for experimental modal analysis, University of Cincinnati, PhD Dissertation (1985).

    Google Scholar 

  9. Allemang, R.J., Phillips, A.W., Allemang, M.R.: Application of principal compenent analysis methods to experimental structural dynamics. In: Proceedings of the International Modal Analysis Conference-XXVIII, Jacksonville (2010).

    Google Scholar 

  10. Strang, G.: Linear algebra and its applications, Thomson Brooks/Cole (2006).

    Google Scholar 

  11. UC-SDRL.: Singular value decomposition concepts, University of Cincinnati, Course Notes, (2008).

    Google Scholar 

  12. Yee, A.K.; Using group transmissibility concepts to compare dissimilar vehicle platforms, University of Cincinnati, MS Thesis (2009).

    Google Scholar 

  13. Allemang, M.R.: Comparison of automotive structures using transmissibility functions and principal component analysis, University of Cincinnati, MS Thesis (2013).

    Google Scholar 

  14. Deshmukh, S.S.: Synthesizing uncorrelated drive files for MIMO transmissibility measurements on road simulators, University of Cincinnati, MS Thesis (2015).

    Google Scholar 

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Correspondence to Shounak S. Deshmukh .

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© 2016 The Society of Experimental Mechanics, Inc.

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Deshmukh, S.S., Allemang, R.J., Phillips, A.W. (2016). Synthesizing Uncorrelated Drive Files for MIMO Transmissibility Measurements on Road Simulators. In: Wee Sit, E. (eds) Sensors and Instrumentation, Volume 5. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-29859-7_6

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  • DOI: https://doi.org/10.1007/978-3-319-29859-7_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-29858-0

  • Online ISBN: 978-3-319-29859-7

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