Skip to main content
Log in

Validation of Model Order Assumption and Noise Reduction Method for the Impact Resonance Testing of Asphalt Concrete

  • Published:
Journal of Nondestructive Evaluation Aims and scope Submit manuscript

Abstract

The impact resonance test is a free vibration-based nondestructive test method that has been increasingly used in evaluation and characterization of asphalt concrete for the past two decades. The rheological modeling of the impact resonance test is conceptualized by a linear viscous damping mechanism having single degree of freedom whose equation of the motion is assumed to be second order. In this study, the second order equation of motion assumption in the modeling of the impact resonance test response was evaluated for asphalt concrete testing. A set of asphalt concrete specimens was tested with the impact resonance test, and the obtained signals at a range of temperatures were evaluated by means of the Hankel matrix method. The results showed that the assumption is violated for asphalt concrete testing especially at high temperatures, mainly due to the presence of noise in the obtained response. However, the Hankel method was employed to filter out the noise. It was seen that the assumption could be employed for asphalt concrete at a range of temperatures including high temperatures, provided that the filtering is performed on the obtained signal. The results also showed that the employed filtering procedure produced improvements for the impact resonance test material dependent responses, resonant frequency and especially damping ratio calculations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Boz, I., Solaimanian, M.: The effect of aspect ratio on the frequency response of asphalt concrete in impact resonance testing. J. Test. Eval. 44(1), 543–554 (2016)

    Article  Google Scholar 

  2. Kim, Y.R., Lee, Y.-C.: Interrelationships among stiffnesses of asphalt-aggregate mixtures (with discussion). J. Assoc. Asph. Paving Technol. 64, 575–609 (1995)

    Google Scholar 

  3. Kweon, G., Kim, Y.: Determination of asphalt concrete complex modulus with impact resonance test. Transp. Res. Rec. 1970, 151–160 (1970)

    Article  Google Scholar 

  4. LaCroix, A., Kim, Y.R., Sadat, M., Far, S.: Constructing the dynamic modulus mastercurve using impact resonance testing. J. Assoc. Asph. Paving Technol. 78, 61–92 (2009)

    Google Scholar 

  5. Gudmarsson, A., Rydén, N., Birgisson, B.: Application of resonant acoustic spectroscopy to asphalt concrete beams for determination of the dynamic modulus. Mater. Struct. 45(12), 1903–1913 (2012)

    Article  Google Scholar 

  6. Mounier, D., Di Benedetto, H., Sauzéat, C.: Determination of bituminous mixtures linear properties using ultrasonic wave propagation. Construct. Build. Mater. 36, 638–647 (2012)

    Article  Google Scholar 

  7. Mun, S., Lee, S.-J.: Bayesian method to determine the dynamic material characteristics of hot-mix asphalt. J. Mater. Civ. Eng. 27(4), 04014153 (2014)

    Article  Google Scholar 

  8. Kim, D., Kim, Y.R.: Determination of dynamic modulus values of asphalt mixtures using impact resonance testing of thin disk specimens. J. Test. Eval. 45(2), 509–520 (2016)

    Google Scholar 

  9. Ryden, N.: Resonant frequency testing of cylindrical asphalt samples. Eur. J. Environ. Civ. Eng. 15(4), 587–600 (2011)

    Article  Google Scholar 

  10. Daniel, J.S., Kim, Y.R.: Laboratory evaluation of fatigue damage and healing of asphalt mixtures. J. Mater. Civ. Eng. 13(6), 434–440 (2001)

    Article  Google Scholar 

  11. Tavassoti-Kheiry, P., Boz, I., Solaimanian, M., Qiu, T.: Evaluation of non-destructiveness of resonant column testing for characterization of asphalt concrete properties. J. Test. Eval. 46(2) (2018)

  12. Zhang, L., Li, T., Tan, Y.: The potential of using impact resonance test method evaluating the anti-freeze-thaw performance of asphalt mixture. Construct. Build. Mater. 115, 54–61 (2016)

    Article  Google Scholar 

  13. Solaimanian, M., Boz, I.: Characterizing rap binder properties through impact resonance testing of asphalt mixtures. J. Assoc. Asph. Paving Technol. 83, 271–293 (2015)

    Google Scholar 

  14. Boz, I., Solaimanian, M.: Investigating the effect of rejuvenators on low-temperature properties of recycled asphalt using impact resonance test. Int. J. Pavement Eng. 5, 1–10 (2016)

    Article  Google Scholar 

  15. Solaimanian, M., Boz, I.: Use of impact resonance test for determination of optimum rejuvenator content for recycled asphalt pavements. In: Proceedings of the International Road Federation, 1st Europe & Regional Congress (2015)

  16. Boz, I., Solaimanian, M.: The impact of specimen size and void content on the impact resonance testing of asphalt concrete. In: Transportation Research Board 93rd Annual Meeting, Number 14-5176 (2014)

  17. Steven, L.W., Kim, Y.R.: Determining asphalt concrete properties via the impact resonant method. J. Test. Eval. 22(2), 139–148 (1994)

    Article  Google Scholar 

  18. Gudmarsson, A., Ryden, N., Birgisson, B.: Characterizing the low strain complex modulus of asphalt concrete specimens through optimization of frequency response functions. J. Acoust. Soc. Am. 132(4), 2304–2312 (2012)

    Article  Google Scholar 

  19. Rao, S.S: Mechanical Vibrations. Pearson Education Inc., Prentice Hall (2004)

  20. Clough, R.W., Penzien, J.: Dynamics of Structures. McGraw-Hill Inc, New York (1993)

    MATH  Google Scholar 

  21. Ewins, D.J.: Modal Testing: Theory. Practice and Application. Research Studies Press, Letchworth (2000)

    Google Scholar 

  22. Wang, I.: An analysis of higher order effects in the half power method for calculating damping. J. Appl. Mech. 78(1), 014501 (2011)

    Article  Google Scholar 

  23. Wu, B.: A correction of the half power bandwidth method for estimating damping. Arch. Appl. Mech. 85(2), 315–320 (2015)

    Article  Google Scholar 

  24. Ayazoglu M.: Fast sparse subspace identification tools with applications to dynamic vision. PhD thesis, Northeastern University, Boston, MA, USA (2012)

  25. Bekiroglu, K., Lagoa, C.: Sznaier, M.: Low-order model identification of MIMO systems from noisy and incomplete data. In: 2015 54th IEEE Conference on Decision and Control (CDC), pp. 4029–4034. IEEE (2015)

  26. Fazel, M., Pong, T.K., Sun, D., Tseng, P.: Hankel matrix rank minimization with applications to system identification and realization. SIAM J. Matrix Anal. Appl. 34(3), 946–977 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  27. Björck, Å.: Numerical Methods in Matrix Computations. Springer, Berlin (2015)

    Book  MATH  Google Scholar 

  28. Lim, R.K., Longman, R.W.: State-space system identification with identified hankel matrix. Department of Mechanical and Aerospace Engineering Technical Report No. 3045, (3045):1–36 (1998)

  29. Cai, J.-F., Candès, E.J., Shen, Z.: A singular value thresholding algorithm for matrix completion. SIAM J. Optim. 20(4), 1956–1982 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  30. Gavish, M., Donoho, D.L.: The optimal hard threshold for singular values is \(4/\sqrt{3} \). IEEE Trans. Inf. Theory 60(8), 5040–5053 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  31. Bekiroglu, K., Ayazoglu, M., Lagoa, C., Sznaier, M.: An efficient approach to the radar ghost elimination problem. In: American Control Conference (ACC), 2016, pp. 3515–3520. American Automatic Control Council (AACC) (2016)

  32. Leskovec, J., Rajaraman, A., Ullman, J.D.: Mining of Massive Datasets. Cambridge University Press, New York (2014)

    Book  Google Scholar 

  33. De Moor, B.: Bart: the singular value decomposition and long and short spaces of noisy matrices. IEEE Trans. Signal Proces. 41(9), 2826–2838 (1993)

    Article  MATH  Google Scholar 

  34. Jensen, S.H., Hansen, P.C., Hansen, S.D., Sørensen, J.A.: Reduction of broad-band noise in speech by truncated QSVD. Speech Audio Process. IEEE Trans. 3(6), 439–448 (1995)

    Article  MATH  Google Scholar 

  35. AASHTO T166-13: Standard Method of Test for Bulk Specific Gravity (Gmb) of Compacted Hot-Mix Asphalt (HMA) Using Saturated Surface-Dry Specimens

  36. AASHTO T209-12: Standard Method of Test for Theoretical Maximum Specific Gravity (Gmm) and Density of Hot-Mix Asphalt (HMA)

  37. ASTM C 215 Standard Test Method for Fundamental Transverse, Longitudinal, and Torsional Resonant Frequencies of Concrete Specimens

  38. Menq, F.-Y.: Dynamic properties of sandy and gravelly soils. PhD thesis, University of Texas, Austin (2003)

  39. Brincker, R., Zhang, L., Andersen, P.: Modal identification from ambient responses using frequency domain decomposition. In: Proceedings of the 18th International Modal Analysis Conference (IMAC), San Antonio, Texas (2000)

Download references

Acknowledgements

This study was partially supported by Northeast Center for Excellence in Pavement Technology (NECEPT) of Penn State University and National Institutes of Health (NIH) Grant P50 DA039838, and National Science Foundation (NSF) Grants CNS-1329422 and ECCS-1201973, and the Republic of Singapore National Research Foundation through a grant to the Berkeley Education Alliance for Research in Singapore (BEARS) for the Singapore-Berkeley Building Efficiency and Sustainability in the Tropics (SinBerBEST) Program. The work described is the sole responsibility of the authors and does not necessarily represent the official views of NECEPT, NIH, and NSF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ilker Boz.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Boz, I., Bekiroglu, K., Solaimanian, M. et al. Validation of Model Order Assumption and Noise Reduction Method for the Impact Resonance Testing of Asphalt Concrete. J Nondestruct Eval 36, 58 (2017). https://doi.org/10.1007/s10921-017-0436-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10921-017-0436-2

Keywords

Navigation