Skip to main content
Log in

Determination of Some Elastic Constants of Materials Using Impact Analysis

  • Original Paper
  • Published:
Journal of Vibration Engineering & Technologies Aims and scope Submit manuscript

Abstract

Materials with increased stiffness and lesser weight are widely used in aerospace, automotive and other manufacturing industries. Nondestructive testing (NDT) is used to identify elastic characteristics of materials such as Young’s modulus and stiffness. NDT is popular due to its several advantages over destructive testing methods. This paper presents an algorithm for determination of elastic constants using Thomson multi-tapered periodogram. A Thomson multi-tapered periodogram is used to estimate the fundamental frequency of the material under consideration. The experimental set up comprises of mechanical assembly for free ball impact testing along with data acquisition hardware. The impact induced vibration signal obtained is preprocessed and power spectral density is obtained using Thomson multi-tapered periodogram to estimate the fundamental frequency of the material. Elastic constants as Young’s modulus and stiffness are determined using the estimated fundamental frequency of the test specimen. The experimental results are validated using finite element method technique (ANSYS). The experimentation is carried out for two different materials stainless steel SA 240 Gr 304 and copper with varying test conditions such as change in weight of the ball, change in release height of the ball and change area of plate. The Average percentage error in estimating the fundamental frequency for SS is observed to be 1.72% and 3.86% or copper. Average percentage error for computing Young's modulus of SS is observed to be 2.62% and 7.75% for copper. The experimental analysis shows that the proposed technique is robust to noise. The proposed method has been successfully used to obtain some elastic constants.

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

Similar content being viewed by others

References

  1. Leiss AW (1973) The free vibration of rectangular plates. J Sound Vib 31(3):257–293

    Article  Google Scholar 

  2. Deobald LR, Gmson RF (1988) Determination of elastic constants of orthotropic plates a modal analysis technique. Sound Vib 124(2):269–283

    Article  Google Scholar 

  3. Hwang SF, Chang CS (2000) Determination of elastic constants of materials by vibration testing. Composite Struct 49(2):183–190

    Article  Google Scholar 

  4. Maletta C, Pagnotta L (2004) The determination of mechanical properties of composite laminates using genetic algorithms. Mech Mater Des 1(2):199–211

    Google Scholar 

  5. Alfano M, Pagnotta L (2005) Inverse procedure for determining the material constants of Isotropic square plates by impulse excitation of vibration. Appl Mech Mater 3–4.

  6. Giraudeau A, Pierron F, Guo B (2010) An alternative to modal analysis for material stiffness and damping identification from vibrating plates. Sound Vib 329(10):1653–1672

    Article  Google Scholar 

  7. Ablitzer F, Pézerat C (2014) Identification of stiffness and damping properties of plates by using the local equation of motion. Sound Vib 333(9):2454–2468

    Article  Google Scholar 

  8. Rikards R, Chate A, Steinchen W, Kessler A, Bledzki AK (2000) Method for identification of elastic properties of laminates based on experiment design. Inverse Problem Eng Mech 30(3):279–289

    Google Scholar 

  9. Acosta-Flores M, Jiménez-López E, Chávez-Castillo M, Molina-Ocampo A, Delfín-Vázquez JJ, Rodríguez-Ramírez JA (2019) Experimental method for obtaining the elastic properties of components of a laminated composite. Results Phys 12:1500–1505

    Article  Google Scholar 

  10. Lauwagie T, Sol H (2003) Mixed numerical–experimental identification of elastic properties of orthotropic metal plates. NDT & E Int 36(7):487–495

    Article  Google Scholar 

  11. Mandal A, Ray C, Haldar S (2020) Experimental and numerical free vibration analysis of laminated composite plates with arbitrary cut-outs. J Inst Eng (India) 101(2):281–289

    Google Scholar 

  12. Jadhav PV, Bhanuse VR, Patankar SS, Kulkarni JV, Gaikwad JA (2016) Determination of deformation of steel plate using vibration of impact testing. In: International conference on inventive computation technologies (ICICT), vol 1.

  13. Kunjir R, Bhanuse V, Kulkarni J, Patankar S (2017) Determination of deformation of composite material using harmonic analysis. In: Third international conference on sensing, signal processing and security (ICSSS).

  14. Bhanuse V, Kunjir R, Kulkarni J, Patankar S (2018) determination of deformation of steel plate using Welch's Periodogram estimate. In: Second international conference on intelligent computing and control systems (ICICCS).

  15. Matter M, Gmür T, Cugnoni J, Schorderet A (2009) Numerical-experimental identification of the elastic and damping properties in composite plates. Composite Struct 90(2):180–187

    Article  Google Scholar 

  16. Li WL (2004) Vibration analysis of rectangular plates with general elastic boundary supports. J Sound Vib 273(3):619–635

    Article  Google Scholar 

  17. Wang Z, Liu J (2022) Nondestructive measurements of elastic constants of thin rods based on guided waves. Mech Syst Signal Process 170:108842

    Article  Google Scholar 

  18. Bucciarelli F, Malfense Fierro GP (2019) A non-destructive method for evaluation of the out of plane elastic modulus of porous and composite materials. Appl Composite Mater. 26(3):871–896

    Article  Google Scholar 

  19. Yang J, Cheng J (2002) Determination of the elastic constants of a composite plate using wavelet transforms and neural networks. J Acoust Soc Am 111(3):1245–1250

    Article  Google Scholar 

  20. Li Y, Liu T (2019) Measurement of elastic constants using Halbach array enhanced EMAT. In: IEEE international ultrasonic symposium (IUS)

  21. Oppenheim AV, Schafer RW, Buck JR (1999) Discerete –Time Signal processing. NJ Prentice Hall, Upper saddle River

    Google Scholar 

  22. Babadi B, Brown EN (2014) A review of multi taper spectral analysis. IEEE Tans Biomed Eng 61(5):1555–1564

    Article  Google Scholar 

  23. Harris FJ (1978) On the use of windows for Harmonic Analysis with the Discrete Transform. Proc IEEE 66(1):56–83

    Article  Google Scholar 

  24. Thomoson DJ (1982) Spectrum estimation and harmonic analysis. Proc IEEE 70:1055–1096

    Article  Google Scholar 

  25. Warburton GB (1953) The vibration of rectangular plates. Proc Inst Mech Eng 168:371–384

    Article  MathSciNet  Google Scholar 

  26. Alfano M, Pagnotta L (2006) Determining the elastic constants of isotropic materials by modal vibration testing of rectangular thin plates. J Sound Vib 293:426–439

    Article  Google Scholar 

  27. Pouladkhan AR, Emadi J, Safamehr M, Habibolahiyan H (2011) The vibration of thin plates by using modal analysis. World Acad Sci Eng Technol 59:2880–2885

    Google Scholar 

  28. Bowman K (2005) Mechanical properties: elastic behaviour. Encycl Condens Matter Phys

  29. Prerau MJ, Brown RE (2017) Sleep neuro physiological dynamics through the lens of Multi taper spectral analysis. Physiology (Bethesda) 32(1):60–92

    Google Scholar 

  30. Guguloth GN (2019) Free vibration analysis of simply supported rectangular plates. Vibro Eng Proc. 29:270–273

    Article  Google Scholar 

  31. Nkounhawa PK, Ndapeu D, Kenmeugne B, Beda T (2020) Analysis of the behavior of a square plate in free vibration by FEM in ANSYS. World J Mech. 10(2):11–25

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jayant V. Kulkarni.

Ethics declarations

Conflict of interest

The contents of this manuscript are not submitted to any other journal. There are no conflicts of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bhanuse, V.R., Patankar, S.S. & Kulkarni, J.V. Determination of Some Elastic Constants of Materials Using Impact Analysis. J. Vib. Eng. Technol. 11, 3215–3227 (2023). https://doi.org/10.1007/s42417-022-00743-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42417-022-00743-1

Keywords

Navigation