Structural Engineering and Mechanics

  • 제82권3호
  • /
  • Pages.355-367
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  • 2022
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Dynamic behavior of intake tower considering hydrodynamic damping effect

  • Uddin, Md Ikram (Department of Civil and Environmental Engineering, Kongju National University) ;
  • Nahar, Tahmina Tasnim (Department of Civil Engineering, Pabna University of Science and Technology) ;
  • Kim, Dookie (Department of Civil and Environmental Engineering, Kongju National University) ;
  • Kim, Kee-Dong (Department of Civil and Environmental Engineering, Kongju National University)
  • 투고 : 2021.05.26
  • 심사 : 2022.03.01
  • 발행 : 2022.05.10
⟨ 이전 논문 다음 논문 ⟩

초록

The effect of hydrodynamic damping on intake tower is twofold: one is fluid damping and another is structural damping. Fluid damping can be derived analytically from the governing equation of the fluid-structure-interaction (FSI) problem which yields a very complicated solution. To avoid the complexity of the FSI problem water-tower system can be simplified by considering water as added mass. However, in such a system a reconsideration of structural damping is required. This study investigates the effects of this damping on the dynamic response of the intake tower, where, apart from the "no water (NW)" condition, six other cases have been adopted depending on water height. Two different cross-sections of the tower are considered and also two different damping properties have been used for each case as well. Dynamic analysis has been carried out using horizontal ground motion as input. Finally, the result shows how hydrodynamic damping affects the dynamic behavior of an intake tower with the change of water height and cross-section. This research will help a designer to consider more conservative damping properties of intake tower which might vary depending on the shape of the tower and height of water.

키워드

과제정보

This work was supported by the research grant of the Kongju National University, Republic of Korea in 2021.

참고문헌

  1. ABAQUS 2016 Documentation (2016), Dassault Systemes Simulia Corporation, http://abaqus.software.polimi.it/v2016/books/hhp/default.htm?startat=pt02ch02s02.html.
  2. Alam, J., Kim, D. and Choi, B. (2019), "Seismic risk assessment of intake tower in Korea using updated fragility by bayesian inference", Struct. Eng. Mech., 69(3), 317-326. https://doi.org/10.12989/sem.2019.69.3.317.
  3. Alembagheri, M. (2016), "Dynamics of submerged intake towers including interaction with dam and foundation", Soil Dyn. Earthq. Eng., 84, 108-119. https://doi.org/10.1016/j.soildyn.2016.02.004.
  4. Alembagheri, M. (2017), "Frequency domain analysis of submerged tower-dam dynamic interaction", Soil Mech. Found. Eng., 54(4), 264-275. https://doi.org/10.1007/s11204-017-9468-y.
  5. Chen, X., Liu, Y., Zhou, B. and Yang, D. (2020), "Seismic response analysis of intake tower structure under near-fault ground motions with forward-directivity and fling-step effects", Soil Dyn. Earthq. Eng., 132, 106098. https://doi.org/10.1016/j.soildyn.2020.106098.
  6. Chakrabarti, S.K. (1987), Hydrodynamics of Offshore Structures, WIT Press.
  7. Chopra, A.K. (2011), Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, Upper Saddle River, New Jersey, USA.
  8. Cocco, L., Suarez, L.E. and Matheu, E.E. (2010), "Development of a nonlinear seismic response capacity spectrum method for intake towers of dams", Struct. Eng. Mech., 36(3), 321-341. http://doi.org/10.12989/sem.2010.36.3.321.
  9. Daniell, W. and Taylor, C. (2003), "Developing a numerical model for a UK intake tower seismic assessment", Proceedings of the Institution of Civil Engineers-Water and Maritime Engineering., 156(1), 63-72 https://doi.org/10.1680/wame.2003.156.1.63.
  10. Deng, Y., Guo, Q., Shah, Y.I. and Xu, L. (2019), "Study on modal dynamic response and hydrodynamic added mass of water-surrounded hollow bridge pier with pile foundation", Adv. Civil Eng., 2019, Article ID 1562753. https://doi.org/10.1155/2019/1562753.
  11. Du, X., Wang, P. and Zhao, M. (2014), "Simplified formula of hydrodynamic pressure on circular bridge piers in the time domain", Ocean Eng., 85, 44-53. https://doi.org/10.1016/j.oceaneng.2014.04.031.
  12. Fredsoe, J. and Justesen, P. (1986), "Turbulent separation around cylinders in waves", J. Waterw. Port Coastal Ocean Eng., 112(2), 217-233. https://doi.org/10.1061/(ASCE)0733-950X(1986)112:2(217).
  13. Goyal, A. and Chopra, A.K. (1989), "Earthquake analysis of intake-outlet towers including tower-water-foundation-soil interaction", Earthq. Eng. Struct. Dyn., 18(3), 325-344. https://doi.org/10.1002/eqe.4290180303.
  14. Goyal, A. and Chopra, A.K. (1989), "Simplified evaluation of added hydrodynamic mass for intake towers", J. Eng. Mech., 115(7), 1393-1412. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:7(1393).
  15. Goyal, A. and Chopra, A.K. (1989), "Earthquake analysis and response of intakeoutlettowers", Report, Earthquake Engrg. Res. Ctr., Univ. of California, Berkeley, CA, USA. (in Press)
  16. Jiang, H., Wang, B., Bai, X., Zeng, C. and Zhang, H. (2017), "Simplified expression of hydrodynamic pressure on deepwater cylindrical bridge piers during earthquakes", J. Bridge Eng., 22(6), 04017014. https://doi.org/10.1061/(ASCE)BE.1943-5592.0001032.
  17. Li, Q. and Yang, W. (2013), "An improved method of hydrodynamic pressure calculation for circular hollow piers in deep water under earthquake", Ocean Eng., 72, 241-256. https://doi.org/10.1016/j.oceaneng.2013.07.001.
  18. Liaw, C.Y. and Chopra, A.K. (1974), "Dynamics of towers surrounded by water", Earthq. Eng. Struct. Dyn., 3(1), 33-49. https://doi.org/10.1002/eqe.4290030104.
  19. Millan, M., Young, Y. and Prevost, J. (2009), "Seismic response of intake towers including dam-tower interaction", Earthq. Eng. Struct. Dyn., 38(3), 307-329. https://doi.org/10.1002/eqe.851.
  20. Morison, J.R., Johnson, J.W. and Schaaf, S.A. (1950), "The force exerted by surface waves on piles", J. Petrol. Technol., 2(5), 149-154. https://doi.org/10.2118/950149-G.
  21. Nahar, T.T., Rahman, M.M. and Kim, D. (2021), "Damage index based seismic risk generalization for concrete gravity dams considering FFDI", Struct. Eng. Mech., 78(1), 53-66. http://doi.org/10.12989/sem.2021.78.1.053.
  22. Penzien, J. and Kaul, M. (1972), "Response of offshore towers to strong motion earthquakes", Earthq. Eng. Struct. Dyn., 1(1), 55-68. https://doi.org/10.1002/eqe.4290010106.
  23. Pirhadi, P. and Alembagheri, M. (2019), "The influence of bridgetower interaction on the dynamic behavior of intake-outlet towers", SN Appl. Sci., 1(12), 1-11. https://doi.org/10.1007/s42452-019-1648-0.
  24. Rahman, M. and Bhatta, D. (1993), "Evaluation of added mass and damping coefficient of an oscillating circular cylinder", Appl. Math. Model., 17(2), 70-79. https://doi.org/10.1016/0307-904X(93)90095-X.
  25. Shah, C. (2002), "Mesh discretization error and criteria for accuracy of finite element solutions", Proceeding of the 4th ASEAN ANSYS Users Conference, Central Region, Singapore, November.
  26. Song, G.S., Min, K.U., Bea, J. and Lee, J. (2018), "Application of hydrodynamic pressure for threedimensional earthquake safety analysis of dam intake towers", J. Earthq. Eng. Soc. Korea, 22(3), 139-147. https://doi.org/10.5000/EESK.2018.22.3.139.
  27. Sumer, B.M. and Fredsoe, J. (1997), Hydrodynamics Around Cylindrical Structures, World Scientific, Singapore.
  28. USACE (2003), Structural Design and Evaluation of Outlet Works, USACE, Washington, DC.
  29. Vidot, A.L., Suarez, L.E., Matheu, E.E. and Sharp, M.K. (2004), "Seismic analysis of intake towers considering multiple-support excitation and soil-structure interaction effects", Report No. ERDC/GSL TR-04-16, U. S. A. C. o. Engineers, Engineer Research and Development Center.
  30. Wang, P., Zhao, M. and Du, X. (2018), "Analytical solution and simplified formula for earthquake induced hydrodynamic pressure on elliptical hollow cylinders in water", Ocean Eng., 148, 149-160. https://doi.org/10.1016/j.oceaneng.2017.11.019.
  31. Wang, P., Zhao, M., Du, X., Liu, J. and Chen, J. (2018), "Simplified evaluation of earthquake-induced hydrodynamic pressure on circular tapered cylinders surrounded by water", Ocean Eng., 164, 105-113. https://doi.org/10.1016/j.oceaneng.2018.06.048.
  32. Wang, P., Zhao, M. and Du, X. (2019), "Simplified formula for earthquake-induced hydrodynamic pressure on round-ended and rectangular cylinders surrounded by water", J. Eng. Mech., 145(2), 04018137. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001567.
  33. Westergaard, H.M. (1933), "Water pressures on dams during earthquakes", Tran. Am. Soc. Civil Eng., 98(2), 418-433. https://doi.org/10.1061/TACEAT.0004496.
  34. Yang, W. and Li, Q. (2013), "The expanded Morison equation considering inner and outer water hydrodynamic pressure of hollow piers", Ocean Eng., 69, 79-87. https://doi.org/10.1016/j.oceaneng.2013.05.008.