Skip to main content
Log in

Experimental and analytical studies on the vibration serviceability of long-span prestressed concrete floor

  • Technical Papers
  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

An extensive experimental and theoretical research study was undertaken to study the vibration serviceability of a long-span prestressed concrete floor system to be used in the lounge of a major airport. Specifically, jumping impact tests were carried out to obtain the floor’s modal parameters, followed by an analysis of the distribution of peak accelerations. Running tests were also performed to capture the acceleration responses. The prestressed concrete floor was found to have a low fundamental natural frequency (≈ 8.86 Hz) corresponding to the average modal damping ratio of ≈ 2.17%. A coefficients βrp is proposed for convenient calculation of the maximum root-mean-square acceleration for running. In the theoretical analysis, the prestressed concrete floor under running excitation is treated as a two-span continuous anisotropic rectangular plate with simply-supported edges. The calculated analytical results (natural frequencies and root-mean-square acceleration) agree well with the experimental ones. The analytical approach is thus validated.

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.

Similar content being viewed by others

References

  • Abeysinghe CM, Thambiratnam DP, and Perera NJ (2013), “Dynamic Performance Characteristics of an Innovative Hybrid Composite Floor Plate System under Human-induced Loads,” Composite Structures, 96: 590–600.

    Article  Google Scholar 

  • An Q, Ren QY, Liu HB, Yan XY, and Chen ZH (2016), “Dynamic Performance Characteristics of an Innovative Cable Supported Beam Structure-Concrete Slab Composite Floor System under Human-Induced Loads,” Engineering Structures, 117(15): 40–57.

    Article  Google Scholar 

  • Bachmann H, Ammann Wedited, Ji ZC, Ji WY translated (1990), Vibrations in Structures Induced by Man and Machines, Beijing: Building Science. (in Chinese)

    Google Scholar 

  • Brownjohn JMW, Pan TC, Middleton C, Tan SC, and Yang G (2016), “Floor Vibration Serviceability in a Multistory Factory Building,” Journal of Performance of Constructed Facilities, 30(1): 04014203.

    Article  Google Scholar 

  • Cao GX (1983), Vibration of elastic rectangular thin plate, Beijing: China architecture & building press. (in Chinese)

    Google Scholar 

  • Chen J, Li G, and Racic V (2016), “Acceleration Response Spectrum for Predicting Floor Vibration due to Occupants Jumping,” Engineering Structures, 112: 71–80.

    Article  Google Scholar 

  • Chen J, Xu RT, and Zhang MS (2014), “Acceleration Response Spectrum for Predicting Floor Vibration due to Occupant Walking,” Journal of Sound and Vibration, 333(15): 3564–3579.

    Article  Google Scholar 

  • Chen J, Wang HQ, and Wang L (2015), “Experimental Investigation on Single Person’s Jumping Load Model,” Earthquake Engineering and Engineering Vibration, 14: 703–714.

    Article  Google Scholar 

  • Chen X, Ding YL, Li AQ, Zhang ZQ, and Sun P (2012), “Investigations on Serviceability Control of Long-Span Structures under Human-Induced Excitation,” Earthquake Engineering and Engineering Vibration, 11: 57–71.

    Article  Google Scholar 

  • Chen YC (1999), “Finite Element Analysis for Walking Vibration Problems for Composite Precast Building Floors using ADINA: Modeling, Simulation, and Comparison,” Computers & Structures, 72(1-3): 109–126.

    Article  Google Scholar 

  • Chopra AK (1995), Dynamics of Structures Theory and Application to Earthquake Engineering (second edition), New York: A Simon & Schuster Company.

    Google Scholar 

  • Davis B, Liu D, and Murray TM (2014), “Simplified Experimental Evaluation of Floors Subject to Walking Induced Vibration,” Journal of Performance of Constructed Facilities, 28(5): 04014023.

    Article  Google Scholar 

  • Dai L, Yang N, Law SS, and Yang QS (2016), “Modal Parameter Identification and Damping Ratio Estimation from the Full-Scale Measurements of a Typical Tibetan Wooden Structure,” Earthquake Engineering and Engineering Vibration, 15: 681–695.

    Article  Google Scholar 

  • GB/T 4883 (2008), Statistical Interpretation of Data-Detection and Treatment of Outliers in Normal Sample, Beijing: Standards of press of China. (in Chinese)

    Google Scholar 

  • Hudson MJ, and Reynolds P (2012), “Implementation Considerations for Active Vibration Control in the Design of Floor Structures,” Engineering Structures, 44(44): 334–358.

    Article  Google Scholar 

  • Jarner K, Brandt A, and Olsson A (2015), “Vibration Properties of a Timber Floor Assessed in Laboratory and During Construction,” Engineering Structures, 82: 44–54.

    Article  Google Scholar 

  • Martinez JF, Hermanns L, De Lerma AF, and Alvarez EA (2016), “Jumping Load Models Applied on a Gymnasium Floor,” Engineering Structures, 125: 26–38.

    Article  Google Scholar 

  • Murray TM, Allen DE, and Ungar EE (1997), Steel Design Guide Series No. 11: Floor Vibrations due to Human Activity, Chicago: American Institute of Steel Construction, Inc.

    Google Scholar 

  • Nakamura SI, and Kawasaki T (2006), “Lateral Vibration of Footbridges by Synchronous Walking,” Journal of Constructional Steel Research, 62(11): 1148–1160.

    Article  Google Scholar 

  • Pavic A, Miskovic Z, and Reynolds P (2007), “Modal Testing and Finite-Element Model Updating of a Lively Open-plan Composite Building Floor,” Journal of Structural Engineering, 133(4): 550–558.

    Article  Google Scholar 

  • Rijal R, Samali B, Shrestha R, and Crews K (2016), “Experimental and Analytical Study on Dynamic Performance of Timber Floor Modules (Timber Beams),” Construction and Building Materials, 122: 391–399.

    Article  Google Scholar 

  • Silva SSD, and Thambiratnam, DP (2009), “Dynamic Characteristics of Steel-Deck Composite Floors under Human-induced Loads.” Computers & Structures, 87(17-18): 1067–1076.

    Article  Google Scholar 

  • Timoshenko S,·and Woinowsky-Krieger S (1959), Theory of Plates and Shells, New York: Mcgraw-Hill College.

    Google Scholar 

  • Van Nimmen K, Van den Broeck P, Verbeke P, Schauvliege C, Mallie M, Ney L, and De Roeck G (2017), “Numerical and Experimental Analysis of the Vibration Serviceability of the Bears’ Cage footbridge,” Structure and Infrastructure Engineering, 13(3): 390–400.

    Article  Google Scholar 

  • Veletsos AS, and Newmark NM (1956), “Determination of Natural Frequencies of Continuous Plates Hinged along Two Opposite Edges,” Journal of Applied Mechanics, 23(1): 97–102.

    Google Scholar 

  • Weckendorf J, Ussher E, and Smith I (2016), “Dynamic Response of CLT Plate Systems in the Context of Timber and Hybrid Construction,” Composite Structures, 157: 412–423.

    Article  Google Scholar 

  • Zhou XH, Cao L, Chen YF, Liu JP, and Li J (2016a), “Experimental and Analytical Studies on the Vibration Serviceability of Pre-Stressed Cable RC truss Floor Systems,” Journal of Sound and Vibration, 361: 130–147.

    Article  Google Scholar 

  • Zhou XH, Cao L, Chen YF, Liu JP, and Li J (2016b), “Acceleration Response of Prestressed Cable RC Truss Floor System Subjected to Heel-Drop Loading,” Journal of Performance of Constructed Facilities, 30(5): 04016014.

    Article  Google Scholar 

  • Zhou XH, Li J, and Liu JP (2016c), “Vibration of Prestressed Cable RC Truss Floor System due to Human Activity,” Journal of Structural Engineering, 142(5): 04015170.

    Article  Google Scholar 

  • Zhou XH, Li J, Liu JP, and Chen YF (2017a), “Dynamic Performance Characteristics of Pre-Stressed Cable RC Truss Floor System under Human-induced Loads,” International Journal of Structural Stability and Dynamics, 17(4): 1750049.

    Article  Google Scholar 

  • Zhou XH, Liu JP, Cao L, and Li J (2017b), “Vibration Serviceability of Pre-Stressed Concrete Floor System under Human Activity,” Structure and Infrastructure Engineering, 13(8): 967–977.

    Article  Google Scholar 

  • Zivanovic S, Pavic A, and Reynolds P (2005), “Vibration Serviceability of Footbridges under Human-Induced Excitation: a Literature Review,” Journal of Sound and Vibration, 279(1-2): 1–74.

    Article  Google Scholar 

Download references

Acknowledgment

The authors are grateful for the financial support provided by the National Natural Science Foundation of China (51438001) and the Fundamental Research Funds for the Central Universities (106112014CDJZR200001, 106112015CDJXZ208804), the Chongqing Basic and Frontier Research Project (cstc2014jcyjys30001) and the National Key Research and Development Program of China (Project N0. 2016YFC0701201). The authors also wish to express their gratitude to Dr. Y. Frank Chen (Professor at The Pennsylvania State University, USA) for providing valuable comments.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jiepeng Liu.

Additional information

Supported by: National Natural Science Foundation of China under Grant No. 51438001, Fundamental Research Funds for the Central Universities under Grant Nos. 106112014CDJZR200001 and 106112015CDJXZ208804, Chongqing basic and frontier research project under Grant No. cstc2014jcyjys30001 and National key research and development program of China under Grant No. 2016YFC0701201

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cao, L., Liu, J., Li, J. et al. Experimental and analytical studies on the vibration serviceability of long-span prestressed concrete floor. Earthq. Eng. Eng. Vib. 17, 417–428 (2018). https://doi.org/10.1007/s11803-018-0450-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-018-0450-0

Keywords

Navigation