Skip to main content
Log in

Flexural performance correlation with natural bending frequency of post-tensioned concrete beam: experimental investigation

  • Original Paper
  • Published:
Journal of Civil Structural Health Monitoring Aims and scope Submit manuscript


This study examines results obtained experimentally from two post-tensioned concrete beams subjected to static and dynamic tests. The static tests results were used to evaluate the level of flexural performance in the beams. Data obtained from the dynamic tests were used to identify the change in modal parameters that occurred after different performance levels. Static and dynamic responses of the beams were measured using several instruments including accelerometers, displacement transducers, and strain gauges. A tendon cut was also applied to each beam to observe its influence in the flexural performance and assess the vibration responses produced at the severing moment. Outcomes of this study demonstrate the correlation between performance and cracks propagation in the beams, and also explain the influence of the flexural performance level on the natural bending frequencies.

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24

Similar content being viewed by others


  1. Quattrone A, Matta E, Zanotti Fragonara L, Ceravolo R, De Stefano A (2012) Vibration tests on dismounted bridge beams and effects of deterioration. J Phys Conf Ser 382 (012059)

    Google Scholar 

  2. Owolabo G, Swamidas A, Seshadri R (2003) Crack detection in beams using changes in frequencies and amplitudes of frequency response functions. J Sound Vib 265:1–22

    Article  Google Scholar 

  3. Rosales MB, Filipich CP, Buezas FS (2009) Crack detection in beam-like structures. Eng Struct 31:2257–2264

    Article  Google Scholar 

  4. Liu S, Zhang L, Chen Z, Zhou J, Zhu C (2016) Mode-specific damage identification method for reinforced concrete beams: concept, theory and experiments. Constr Build Mater 24:1090–1099

    Article  Google Scholar 

  5. Kim J-T, Ryu Y-S, Cho H-M, Stubbs N (2003) Damage identification in beam-type structures: frequency-based method vs mode-shape-based method. Eng Struct 25(1):57–67

    Article  Google Scholar 

  6. Unger JF, Teughels A, De Roeck G (2006) System identification and damage detection of a prestressed concrete beam. J Struct Eng 132:1691–1698

    Article  Google Scholar 

  7. Ma Y, Wang Y, Mao Z (2011) Creep effects on dynamic behavior of concrete filled steel tube arch bridge. Struct Eng Mech 37(3)

    Article  Google Scholar 

  8. Jacobs S. De Roeck G (2003) Dynamic testing of a pre-stressed concrete beam. In: The sixth national congress on theoretical and applied mechanics

  9. Limongelli MP, Siegert D, Merliot E, Waeytens J, Bourquin F, Vidal R, Le Corvec V, Gueguen I, Cottineau L (2016) Damage detection in a post tensioned concrete beam: experimental investigation. Eng Struct 128:15–25

    Article  Google Scholar 

  10. Hamad W, Owen JS, Hussein MF (2014) Modelling the degradation of vibration characteristics of reinforced concrete beams due to flexural damage. Struct Control Health Monit

  11. Neves A, Simões F, Pinto da Costa A (2016) Vibrations of cracked beams: discrete mass and stiffness models. Comput Struct 168:68–77

    Article  Google Scholar 

  12. Shiotani T, Oshima Y, Goto M, Momoki S (2013) Temporal and spatial evaluation of grout failure process with PC cable breakage using acoustic emission. Constr Build Mater 48:1286–1292

    Article  Google Scholar 

  13. Luna Vera OS, Kim CW, Oshima Y (2017) Energy dissipation and absorption capacity influence on experimental modal parameters of a PC girder. J Phys Conf Ser 842(1):012038

    Article  Google Scholar 

  14. Luna Vera OS (2018) Vibration-based performance assessment of prestressed concrete bridges. Dissertation, Kyoto University

  15. modalfit: Modal parameters from frequency-response functions. MathWorks, 2018. Accessed 30 June 2018

  16. Ozdemir AA, Gumussoy S (2017) Transfer function estimation in system identification toolbox via vector fitting. IFAC PapersOnLine 50(1):6232–6237

    Article  Google Scholar 

  17. Dilena M, Morassi A (2011) Dynamic testing of a damaged bridge. Mech Syst Signal Process 25(5):1485–1507

    Article  Google Scholar 

  18. Noble D, Nogal M, O’Connor AJ, Pakrashi V (2016) The effect of prestress force magnitude and eccentricity on the natural bending frequencies of uncracked prestressed concrete beams. J Sound Vib 365:22–44

    Article  Google Scholar 

  19. Richardson MH (1977) Derivation of mass, Stiffness and damping parameters from experimental modal data. Hewlett Packard Company, Santa Clara

    Google Scholar 

Download references


This study is partially sponsored by a Japanese Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (B) under project No. 19H02225, which is greatly appreciated.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Chul-Woo Kim.

Additional information

Publisher's Note

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

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Luna Vera, O.S., Oshima, Y. & Kim, CW. Flexural performance correlation with natural bending frequency of post-tensioned concrete beam: experimental investigation. J Civil Struct Health Monit 10, 135–151 (2020).

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: