Control of natural frequency of beams using different pre-tensioning cable patterns

Document Type : Article

Authors

Department of Civil Engineering, K.N. Toosi University of Technology, Tehran, Iran

Abstract

Steel cable is utilized in this research to control the natural frequency of beam due to its important advantages such as low weight, small cross-sectional area and high tensile strength. In this study, for the first time, theoretical relations are developed to calculate the increase in pre-tensioning force of steel cables under external loading based on the method of least work. Moreover, the natural frequency of steel beams with different support conditions without cable and with different patterns of cable is calculated based on Rayleigh’s method. To verify the theoretical relations, the steel beam is modeled in the finite element ABAQUS software with different support conditions without cable and with different cable patterns. The obtained results show that the theoretical relations can appropriately predict the natural frequency of beams with different support conditions and different cable patterns. In this study, simply supported as well as fixed supported beams are pre-stressed with v-shaped and modified v-shaped patterns of the cable. According to the obtained results, the modified v-shaped pattern of the cable is more efficient than the v-shaped pattern one. Furthermore, the effects of the length of horizontal cables on the natural frequency are studied.

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References

Refrences:
1. Razavi, M. and Sheidaii, M.R. Seismic performance of  cable zipper-braced frames", Journal of Constructional  Steel Research, 74, pp. 49{57 (2012).  
2. Hou, X. and Tagawa, H. Displacement-restraint bracing  for seismic retro_t of steel moment frames", Journal  of Constructional Steel Research, 65, pp. 1096{  1104 (2009).  
3. Fanaie, N., Aghajani, S., and Afsar Dizaj, E. Theoretical  assessment of the behavior of cable bracing system  with central steel cylinder", Advances in Structural  Engineering, 19(3), pp. 463{472 (2016).  
4. Fanaie, N., Aghajani, S., and Afsar Dizaj, E.  Strengthening of moment-resisting frame using cablecylinder  bracing", Advances in Structural Engineering,  19(11), pp. 1{19 (2016).  5. Giaccu, G.F. An equivalent frequency approach for  determining non-linear e_ects on pre-tensioned-cable  cross-braced structures", Journal of Sound and Vibration,  422, pp. 62{78 (2018).  
6. Troitsky, M.S., Prestressed Steel Bridges-Theory and  Design, Van Nostrand Reinhold, New York (1990).  
7. Le, T.D., Pham, T.M., Hao, H., et al. Flexural behaviour  of precast segmental concrete beams internally  prestressed with unbonded CFRP tendons under fourpoint  loading", Engineering Structures, 168, pp. 371{  383 (2018).  
8. Pisani, M.A. Behaviour under long-term loading of  externally prestressed concrete beams", Engineering  Structures, 160, pp. 24{33 (2018).  
9. Lou, T., Lopes, S.M.R., and Lopes, A.V. E_ect of  linear transformation on nonlinear behavior of continuous  prestressed beams with external FRP cables",  Engineering Structures, 147, pp. 410{424 (2017).  
10. Nie, J.G., Cai, C.S., Zhou, T.R., et al. Experimental  and analytical study of prestressed steel-concrete  composite beams considering slip e_ect", Journal of  Structural Engineering, 133(4), pp. 530{540 (2007).  
11. Zhou, H., Li, S., Chen, L., et al. Fire tests on composite  steel-concrete beams prestressed with external  tendons", Journal of Constructional Steel Research,  143, pp. 62{71 (2018).  
12. Belletti, B. and Gasperi, A. Behavior of prestressed  steel beams", Journal of Structural Engineering,  136(9), pp. 1131{1139 (2010).  2774 N. Fanaie and F. Partovi/Scientia Iranica, Transactions A: Civil Engineering 27 (2020) 2752{2774  
13. Park, S., Kim, T., Kim, K., et al. Flexural behavior  of steel I-beam prestressed with externally unbonded  tendons", Journal of Constructional Steel Research,  66, pp. 125{132 (2010).  
14. Kambal, M.E.M. and Jia, Y. Theoretical and experimental  study on exural behavior of prestressed  steel plate girders", Journal of Constructional Steel  Research, 142, pp. 5{16 (2018).  
15. Zhang, W.F. Symmetric and antisymmetric lateraltorsional  buckling of prestressed steel I-beams", Thin-  Walled Structures, 122, pp. 463{479 (2018).  
16. Noble, D., Nogal, M., O'Connor, A., et al. Dynamic  impact testing on post-tensioned steel rectangular hollow  sections; An investigation into the compressionsoftening"  effect", Journal of Sound and Vibration,  355, pp. 246{263 (2015).  
17. Cao, L., Liu, J., and Chen, Y.F. Vibration performance  of arch prestressed concrete truss girder under  impulse excitation", Engineering Structures, 165, pp.  386{395 (2018).  18. Miyamoto, A., Tei, K., Nakamura, H., et al. Behavior  of prestressed beam strengthened with external tendons",  Journal of Structural Engineering, 126(9), pp.  1033{1044 (2000).  
19. Park, Y.H., Park, C., and Park, Y.G. The behavior of  an in-service plate girder bridge strengthened with external  prestressing tendons", Engineering Structures,  27, pp. 379{386 (2005).  
20. American Institute of Steel Construction (AISC)  ANSI/AISC360|10, Specification for Structural Steel  Buildings, Chicago, IL (2010).  
21. American Society for Testing and Materials (ASTM),  Standard Specification for Low-Relaxation, Seven-Wire  Steel Strand for Prestressed Concrete (ASTM A416M),  Philadelphia, Pa (2018).
Scientia Iranica
Volume 27, Issue 6 - Serial Number 6
Transactions on Civil Engineering (A)
November and December 2020
Pages 2752-2774

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