Abstract
We present the use of piezoelectric disk buzzers, usual in stringed musical instruments to acquire sound as a voltage signal, for experimental modal analysis. These transducers helped in extracting natural frequencies and mode shapes of an aluminium beam and a steel arch in the laboratory. The results are compared with theoretical predictions and experimental values obtained by accelerometers and a laser displacement transducer. High accuracy, small dimensions, low weight, easy usage, and low cost, make piezoelectric pickups an attractive tool for the experimental modal analysis of engineering structures.
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References
De Silva CW (2000) Vibration. CRC Press, Boca Raton, Fundamentals and Practice
Ewins DJ (2000) Modal testing: theory, practice and application, 2nd edn. Research Studies Press, Baldock
Fu Z-F, He J (2001) Modal Analysis. Butterworth-Heinemann, Oxford
Hillary B, Ewinns DJ (1984) The use of strain gauges in force determination and frequency response function measurement, In: Proceedings of the 2nd IMAC, pp 627–634
YI S, Kong FR, Chang YS (1984) Vibration modal analysis by means of impulse excitation and measurement using strain gauges, In: Proceedings of the IMechE C308/84, pp 391–396
Stacker C (1985) Modal analysis efficiency improved via strain frequency response functions, In: Proceedings of the 3rd IMAC, pp 612–617
Song T, Zhang PQ, Feng WQ, Huang TC (1986) The application of the time domain method in strain modal analysis, In: Proceedings of the 4th IMAC, pp 31–37
Debao L, Hongcheng Z, Bo W (1989) The principle and techniques of experimental strain modal analysis, In: Proceedings of the 7th IMAC, pp 1285–1289
Bernasconi O, Ewins DJ (1989) Application of strain modal testing to real structures, Proceedings of the 7th IMAC, pp 1453–1464
Bernasconi O, Ewins DJ (1989) Modal strain/stress fields. Int J Anal Exp Modal Anal 4(2):68–79
Yam LH, Leung TP, Li DB, Xue KZ (1996) Theoretical and experimental study of modal strain analysis. J Sound Vib 191(2):251–260
Rovšček D, Slavič J, Boltežar M (2013) The use of strain sensors in an experimental modal analysis of small and light structures with free-free boundary conditions. J Vib Control 19(7):1072–1079
Kranjc T, Slavič J, Boltežar M (2013) The mass normalization of the displacement and strain mode shapes in a strain experimental modal analysis using the mass-change strategy. J Sound Vib 332:6968–6981
Mucchi E, Dalpiaz G, (2014) On the use of piezoelectric strain sensors for experimental modal analysis. In: Menghetti U, Maggiore A, Parenti Castelli V (eds) Settima giornata di studio Ettore Funaioli, 19 luglio 2013. Quaderni del DIEM—GMA—Atti di giornate di studio vol 7, Società Editrice Esculapio, Bologna, pp 293–301 (http://amsacta.unibo.it/4064/)
Lofrano E, Paolone A, Romeo F, (2014) Damage identification in a parabolic arch through the combined use of modal properties and empirical mode decomposition. In: Proceedings of the 9th international conference on structural dynamics, EURODYN 2014, Porto, Portugal, 30 June–2 July 2014
Romeo F, Lofrano E, Paolone A (2014) Damage identification in a parabolic arch via orthogonal empirical mode decomposition, In: Proceedings of the ASME (IDETC/CIE/VIB) international conference, ASME 2014, Buffalo, USA, 17–20 August 2014
Piana G, Brunetti M, Carpinteri A, Malvano R, Manuello A, Paolone A (2016) On the use of Piezo-electric sensors for experimental modal analysis. In: Song et al. (eds) Dynamic behavior of materials, volume 1. In: Proceedings of the 2015 annual conference on experimental and applied mechanics, Springer, 2016
Galef AE (1968) Bending frequencies of compressed beams. J Acoust Soc Am 44(8):643
Bokaian A (1988) Natural frequencies of beams under compressive axial loads. J Sound Vib 126(1):49–65
Bokaian A (1990) Natural frequencies of beams under tensile axial loads. J Sound Vib 142(3):481–498
Clough RW, Penzien J (1975) Dynamics of structures. McGraw-Hill, New York
Virgin NL (2007) Vibration of axially loaded structures. Cambridge University Press, New York
Bažant ZP, Cedolin L (1991) Stability of structures. Oxford University Press, Oxford
Blevins RD (1979) Formulas for natural frequencies and mode shapes. Van Nostrand Rheinhold, New York
Chapra SC, Canale RP (2010) Numerical methods for engineers, 6th edn. McGraw-Hill, New York
Allemang RJ, Brown DL, (1982) A Correlation coefficient for modal vector analysis,In: Proceedings of the 1st IMAC, Orlando, Florida, 1982
Maya NMM, Silva JMM (eds) (1997) Theoretical and experimental modal analysis. Research Studies Press, Taunton
Pau A, Greco A, Vestroni F (2011) Numerical and experimental detection of concentrated damage in a parabolic arch by measured frequency variations. J Vib Control 17(4):605–614
Dessi D, Camerlengo G (2015) Damage identification techniques via modal curvature analysis: overview and comparison. Mech Syst Signal Process 52–53:181–205
Acknowledgments
We gratefully acknowledge the support of institutional grants of the University “La Sapienza”, Rome. Special thanks also to Eng. M. Tonici for the needful cooperation provided in many phases of this study.
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Piana, G., Lofrano, E., Carpinteri, A. et al. Experimental modal analysis of straight and curved slender beams by piezoelectric transducers. Meccanica 51, 2797–2811 (2016). https://doi.org/10.1007/s11012-016-0487-y
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DOI: https://doi.org/10.1007/s11012-016-0487-y