Effect of prestressing on the natural frequency of PSC bridges

- Journal title : Computers and Concrete
- Volume 17, Issue 2, 2016, pp.241-253
- Publisher : Techno-Press
- DOI : 10.12989/cac.2016.17.2.241

Title & Authors

Effect of prestressing on the natural frequency of PSC bridges

Shin, Soobong; Kim, Yuhee; Lee, Hokyoung;

Shin, Soobong; Kim, Yuhee; Lee, Hokyoung;

Abstract

Depending on the researcher, the effect of prestressing on the natural frequency of a PSC (prestressed concrete) structure appear to have been interpreted differently. Most laboratory tests on PSC beams available showed that the natural frequency is increased appreciably by prestressing. On the other hand, some other references based on field experience argued that the dynamic response of a PSC structure does not change regardless of the prestressing applied. Therefore, the deduced conclusions are inconsistent. Because an experiment with and without prestressing is a difficult task on a full size PSC bridge, the change in natural frequency of a PSC bridge due to prestressing may not be examined through field measurements. The study examined analytically the effects of prestressing on the natural frequency of PSC bridges. A finite element program for an undamped dynamic motion of a beam-tendon system was developed with additional geometric stiffness. The analytical results confirm that a key parameter in changing the natural frequency due to prestressing is the relative ratio of prestressing to the total weight of the structure rather than the prestressing itself.

Keywords

prestressing;natural frequency;PSC bridge;laboratory test;geometric stiffness;total weight;

Language

English

References

1.

Dall'Asta, A. (1996), "On the coupling between three dimensional bodies and slipping cables", Int. J. Solid. Struct., 33(24), 3587-3600.

2.

Dall'Asta, A. (2000), "Dynamics of elastic bodies prestressed by internal slipping cables", Int. J. Solid. Struct., 37(25), 3421-3438.

3.

Dall'Asta, A. and Leoni, G. (1999), "Vibrations of beams prestressed by internal frictionless cables", J. Sound. Vib., 222(1), 1-18.

4.

Falati, S. and Williams, M.S. (1998), Vibration tests on a model post-tensioned concrete floor: Interim report, Report No. OUEL 2155/98, University of Oxford, Dept. Eng. Sci., UK.

5.

Goremikins, V., Rocens, K., Serdjuks, D. and Gaile, L. (2013), "Experimental determination of natural frequencies of prestressed suspension bridge model", Constr. Sci., 14, 32-37.

6.

Grace, N.F. and Ross, B. (1996), "Dynamic characteristics of post-tensioned girders with web openings", J. Struct. Eng., 122(6), 643-650.

7.

Hamed, E. and Frostig, Y. (2006), "Natural frequencies of bonded and unbonded prestressed beamsprestress force effects", J. Sound. Vib., 295(1), 28-39.

8.

Hop, T. (1991), "The effect of degree of prestressing and age of concrete beams on frequency and damping of their free vibration", Mater. Struct., 24(3), 210-220.

9.

Jaiswal, O.R. (2008), "Effect of prestressing on the first flexural natural frequency of beams", Struct. Eng. Mech., 28(5), 515-524.

10.

James, M.L., Smith, G.M. and Lutes, L.D. (1964), "Dynamic properties of reinforced and prestressed concrete structural components", ACI J. Proc., 61(11), 1359-1381..

11.

Law, S.S. and Lu, Z.R. (2005), "Time domain responses of a prestressed beam and prestress identification", J. Sound. Vib., 288(4), 1011-1025.

12.

Liu, H.B., Wang, L.L., Tan, G.J. and Cheng, Y.C. (2013), "Prestress force effection on natural frequencies of simply supported beams", Appl. Mech. Mater., 275, 1172-1175.

13.

Materazzi, A.L., Breccolotti, M., Ubertini, F. and Venanzi, I. (2009), "Experimental modal analysis for assessing prestress force in PC bridges: a sensitivity study", Proceedings of the International Modal Analysis Conference (IOMAC 2009), June.

14.

Miyamoto, A., Tei, K., Nakamura, H. and Bull, J.W. (2000), "Behavior of prestressed beam strengthened with external tendons", J. Struct. Eng., 126(9), 1033-1044.

15.

Morassi, A. and Tonon, S. (2008), "Dynamic testing for structural identification of a bridge", J. Bridge Eng., 13(6), 573-585.

16.

Noh, M.H., Seong, T.R., Lee, J. and Park, K.S. (2015), "Experimental investigation of dynamic behavior of prestressed girders with internal tendons", Int. J. Steel Struct., 15(2), 401-414.

17.

Ren, W., Sneed, L.H., Yang, Y. and He, R. (2014), "Numerical simulation of prestressed precast concrete bridge deck panels using damage plasticity model", Int. J. Concrete Struct. Mater., 9(1), 45-54.

18.

Saiidi, M., Douglas, B. and Feng, S. (1994), "Prestress force effect on vibration frequency of concrete bridges", J. Struct. Eng., 120(7), 2233-2241.

19.

Shin, S. (1994), Damage detection and assessment of structural systems from measured response, Ph.D. Thesis, University of Illinois at Urbana-Champaign, Illinois.

20.

Shin, S., Koo, M.S., Lee, H.K. and Kwon, S.J. (2010), "Variation of eigen-properties of a PSC bridge due to prestressing force", Proceedings of the Fifth International IABMAS Conference, Philadelphia, July.

21.

Singh, B.P., Yazdani, N. and Ramirez, G. (2013), "Effect of a time dependent concrete modulus of elasticity on prestress losses in bridge girders", Int. J. Concrete Struct. Mater., 7(3), 183-191.

22.

Tedesco, J.W., McDougal, W.G. and Ross, C.A. (1999), Structural dynamics theory and applications, California, Addison-Wesley.

23.

Wang, T.H., Huang, R. and Wang, T.W. (2013), "The variation of flexural rigidity for post-tensioned prestressed concrete beams", J. Marine Sci. Tech., 21(3), 300-308.