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Improvement on optimal design of dynamic absorber for enhancing seismic performance of nuclear piping using adaptive Kriging method

  • Kwag, Shinyoung (Department of Civil and Environmental Engineering, Hanbat National University) ;
  • Eem, Seunghyun (School of Convergence & Fusion System Engineering, Major in Plant System Engineering, Kyungpook National University) ;
  • Kwak, Jinsung (Korea Atomic Energy Research Institute) ;
  • Lee, Hwanho (Korea Atomic Energy Research Institute) ;
  • Oh, Jinho (Korea Atomic Energy Research Institute) ;
  • Koo, Gyeong-Hoi (Korea Atomic Energy Research Institute)
  • Received : 2021.07.15
  • Accepted : 2021.11.14
  • Published : 2022.05.25

Abstract

For improving the seismic performance of the nuclear power plant (NPP) piping system, attempts have been made to apply a dynamic absorber (DA). However, the current piping DA design method is limited because it cannot provide the globally optimum values for the target design seismic loading. Therefore, this study proposes a seismic time history analysis-based DA optimal design method for piping. To this end, the Kriging approach is introduced to reduce the numerical cost required for seismic time history analyses. The appropriate design of the experiment method is used to increase the efficiency in securing response data. A gradient-based method is used to efficiently deal with the multi-dimensional unconstrained optimization problem of the DA optimal design. As a result, the proposed method showed an excellent response reduction effect in several responses compared to other optimal design methods. The proposed method showed that the average response reduction rate was about 9% less at the maximum acceleration, about 5% less at the maximum value of the response spectrum, about 9% less at the maximum relative displacement, and about 4% less at the maximum combined stress compared to existing optimal design methods. Therefore, the proposed method enables an effective optimal DA design method for mitigating seismic response in NPP piping in the future.

Keywords

Acknowledgement

This study was supported by the Ministry of Trade, Industry and Energy through KETEP (Korea Institute of Energy Technology Evaluation Planning) (No. 20181510102380). Also, this study was supported the National Research Foundation of Korea (NRF) grant funded by the Korea government (Ministry of Science and ICT) (No. 2020R1G1A1005510).

References

  1. S. Kwag, Y. Ryu, B.S. Ju, Efficient seismic fragility analysis for large-scale piping system utilizing Bayesian approach, Appl. Sci. 10 (4) (2020) 1515. https://doi.org/10.3390/app10041515
  2. M. Kunieda, T. Chiba, H. Kobayashi, Positive use of damping devices for piping systems-some experiences and new proposals, Nucl. Eng. Des. 104 (2) (1987) 107-120. https://doi.org/10.1016/0029-5493(87)90292-5
  3. Y. Park, G. DeGrassi, C. Hofmayer, P. Bezler, N. Chokshi, Analysis of Nuclear Piping System Seismic Tests with Conventional and Energy Absorbing Supports (No. BNL-NUREG-64173; CONF-970826-7), Brookhaven National Lab., Upton, NY (United States), 1997.
  4. K. Fujita, T. Kimura, Y. Ohe, Seismic response analysis of piping systems with nonlinear supports using differential algebraic equations, J. Pressure Vessel Technol. 126 (1) (2004) 91-97. https://doi.org/10.1115/1.1634589
  5. S.V. Bakre, R.S. Jangid, G.R. Reddy, Optimum X-plate dampers for seismic response control of piping systems, Int. J. Pres. Ves. Pip. 83 (9) (2006) 672-685. https://doi.org/10.1016/j.ijpvp.2006.05.003
  6. J. Jia, X. Shen, J. Du, Y. Wang, H. Hua, Design and mechanical characteristics analysis of a new viscous damper for piping system, Arch. Appl. Mech. 79 (3) (2009) 279-286. https://doi.org/10.1007/s00419-008-0231-8
  7. P. Kumar, R.S. Jangid, G.R. Reddy, Response of piping system with semi-active variable stiffness damper under tri-directional seismic excitation, Nucl. Eng. Des. 258 (2013) 130-143. https://doi.org/10.1016/j.nucengdes.2013.01.025
  8. P. Kumar, R.S. Jangid, G.R. Reddy, Comparative performance of passive devices for piping system under seismic excitation, Nucl. Eng. Des. 298 (2016) 121-134. https://doi.org/10.1016/j.nucengdes.2015.11.019
  9. S. Rechenberger, D. Mair, Vibration control of piping systems and structures using tuned mass dampers, 57953, in: Pressure Vessels and Piping Conference, American Society of Mechanical Engineers, 2017 July. V03BT03A035.
  10. J. Jiang, P. Zhang, D. Patil, H.N. Li, G. Song, Experimental studies on the effectiveness and robustness of a pounding tuned mass damper for vibration suppression of a submerged cylindrical pipe, Struct. Control Health Monit. 24 (12) (2017), e2027. https://doi.org/10.1002/stc.2027
  11. W. Wang, D. Dalton, X. Hua, X. Wang, Z. Chen, G. Song, Experimental study on vibration control of a submerged pipeline model by eddy current tuned mass damper, Appl. Sci. 7 (10) (2017) 987. https://doi.org/10.3390/app7100987
  12. J. Tan, M. Ho, S. Chun, P. Zhang, J. Jiang, Experimental study on vibration control of suspended piping system by single-sided pounding tuned mass damper, Appl. Sci. 9 (2) (2019) 285. https://doi.org/10.3390/app9020285
  13. S. Chang, W. Sun, S.G. Cho, D. Kim, Vibration control of nuclear power plant piping system using stockbridge damper under earthquakes, 2016, Sci. Technol. Nucl. Install. 12 (2016). Article ID 5014093.
  14. S. Kwag, J. Kwak, H. Lee, J. Oh, G.H. Koo, A numerical study on improvement in seismic performance of nuclear components by applying dynamic absorber, Journal of the Computational Structural Engineering Institute of Korea 32 (1) (2019) 17-27. https://doi.org/10.7734/COSEIK.2019.32.1.17
  15. S. Kwag, S. Eem, J. Kwak, H. Lee, J. Oh, G.H. Koo, Mitigation of seismic responses of actual nuclear piping by a newly developed tuned mass damper device, Nucl. Eng. Technol. 53 (8) (2021) 2728-2745. https://doi.org/10.1016/j.net.2021.02.009
  16. S.G. Cho, S. Chang, D. Sung, Application of tuned mass damper to mitigation of the seismic responses of electrical equipment in nuclear power plants, Energies 13 (2) (2020) 427. https://doi.org/10.3390/en13020427
  17. T.T. Tran, A.T. Cao, D. Kim, S. Chang, Seismic vulnerability of cabinet facility with tuned mass dampers subjected to high-and low-frequency earthquakes, Appl. Sci. 10 (14) (2020) 4850. https://doi.org/10.3390/app10144850
  18. J.P. Den Hartog, Mechanical Vibrations, MaGraw-Hill, 1956, p. 87, 1956.
  19. G.B. Warburton, Optimum absorber parameters for various combinations of response and excitation parameters, Earthq. Eng. Struct. Dynam. 10 (3) (1982) 381-401. https://doi.org/10.1002/eqe.4290100304
  20. T. Ioi, K. Ikeda, On the dynamic vibration damped absorber of the vibration system, Bulletin of JSME 21 (151) (1978) 64-71. https://doi.org/10.1299/jsme1958.21.64
  21. H.C. Tsai, G.C. Lin, Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems, Earthq. Eng. Struct. Dynam. 22 (11) (1993) 957-973. https://doi.org/10.1002/eqe.4290221104
  22. F. Sadek, B. Mohraz, A.W. Taylor, R.M. Chung, A method of estimating the parameters of tuned mass dampers for seismic applications, Earthq. Eng. Struct. Dynam. 26 (6) (1997) 617-635. https://doi.org/10.1002/(SICI)1096-9845(199706)26:6<617::AID-EQE664>3.0.CO;2-Z
  23. R. Rana, T.T. Soong, Parametric study and simplified design of tuned mass dampers, Eng. Struct. 20 (3) (1998) 193-204. https://doi.org/10.1016/S0141-0296(97)00078-3
  24. A.Y.T. Leung, H. Zhang, Particle swarm optimization of tuned mass dampers, Eng. Struct. 31 (3) (2009) 715-728. https://doi.org/10.1016/j.engstruct.2008.11.017
  25. S. Kwag, J. Kwak, H. Lee, J. Oh, G.H. Koo, Enhancement in the seismic performance of a nuclear piping system using multiple tuned mass dampers, Energies 12 (11) (2019) 2077. https://doi.org/10.3390/en12112077
  26. N.B. Desu, S.K. Deb, A. Dutta, Coupled tuned mass dampers for control of coupled vibrations in asymmetric buildings, Structural Control and Health Monitoring, The Official Journal of the International Association for Structural Control and Monitoring and of the European Association for the Control of Structures 13 (5) (2006) 897-916.
  27. G.C. Marano, R. Greco, F. Trentadue, B. Chiaia, Constrained reliability-based optimization of linear tuned mass dampers for seismic control, Int. J. Solid Struct. 44 (22-23) (2007) 7370-7388. https://doi.org/10.1016/j.ijsolstr.2007.04.012
  28. N. Hoang, Y. Fujino, P. Warnitchai, Optimal tuned mass damper for seismic applications and practical design formulas, Eng. Struct. 30 (3) (2008) 707-715. https://doi.org/10.1016/j.engstruct.2007.05.007
  29. S. Chakraborty, B.K. Roy, Reliability based optimum design of tuned mass damper in seismic vibration control of structures with bounded uncertain parameters, Probab. Eng. Eng. Mech. 26 (2) (2011) 215-221. https://doi.org/10.1016/j.probengmech.2010.07.007
  30. E. Mrabet, M. Guedri, M. Ichchou, S. Ghanmi, New approaches in reliability based optimization of tuned mass damper in presence of uncertain bounded parameters, J. Sound Vib. 355 (2015) 93-116. https://doi.org/10.1016/j.jsv.2015.06.009
  31. R. Greco, G.C. Marano, A. Fiore, Performance-cost optimization of tuned mass damper under low-moderate seismic actions, Struct. Des. Tall Special Build. 25 (18) (2016) 1103-1122. https://doi.org/10.1002/tal.1300
  32. H.Y. Zhang, L.J. Zhang, Tuned mass damper system of high-rise intake towers optimized by improved harmony search algorithm, Eng. Struct. 138 (2017) 270-282. https://doi.org/10.1016/j.engstruct.2017.02.011
  33. O. Lavan, Multi-objective optimal design of tuned mass dampers, Struct. Control Health Monit. 24 (11) (2017), e2008. https://doi.org/10.1002/stc.2008
  34. R. Kamgar, P. Samea, M. Khatibinia, Optimizing parameters of tuned mass damper subjected to critical earthquake, Struct. Des. Tall Special Build. 27 (7) (2018), e1460. https://doi.org/10.1002/tal.1460
  35. B. Li, K. Dai, H. Li, B. Li, S. Tesfamariam, Optimum design of a non-conventional multiple tuned mass damper for a complex power plant structure, Struct. Infrastruct. Eng. 15 (7) (2019) 954-964. https://doi.org/10.1080/15732479.2019.1585461
  36. L.S. Vellar, S.P. Ontiveros-Perez, L.F.F. Miguel, L.F. Fadel Miguel, Robust optimum design of multiple tuned mass dampers for vibration control in buildings subjected to seismic excitation, 2019, Shock Vib. (1) (2019). Article ID 9273714.
  37. M. Dadkhah, R. Kamgar, H. Heidarzadeh, A. Jakubczyk-Galczynska, R. Jankowski, Improvement of performance level of steel moment-resisting frames using tuned mass damper system, Appl. Sci. 10 (10) (2020) 3403. https://doi.org/10.3390/app10103403
  38. R.L. Iman, J.C. Helton, J.E. Campbell, An approach to sensitivity analysis of computer models: Part I-introduction, input variable selection and preliminary variable assessment, J. Qual. Technol. 13 (3) (1981) 174-183. https://doi.org/10.1080/00224065.1981.11978748
  39. J. Sacks, W.J. Welch, T.J. Mitchell, H.P. Wynn, Design and analysis of computer experiments, Stat. Sci. 4 (4) (1989) 409-423. https://doi.org/10.1214/ss/1177012413
  40. T.W. Simpson, J.D. Poplinski, P.N. Koch, J.K. Allen, Metamodels for computer-based engineering design: survey and recommendations, Eng. Comput. 17 (2) (2001) 129-150. https://doi.org/10.1007/PL00007198
  41. S. Kwag, D. Hahm, M. Kim, S. Eem, Development of a probabilistic seismic performance assessment model of slope using machine learning methods, Sustainability 12 (8) (2020) 3269. https://doi.org/10.3390/su12083269
  42. D. Hahm, J. Park, I.K. Choi, Seismic performance evaluation of piping system crossing the isolation interface in seismically isolated NPP, Journal of the Earthquake Engineering Society of Korea 18 (3) (2014) 141-150. https://doi.org/10.5000/EESK.2014.18.3.141
  43. KAERI, Ultimate-Level Seismic Performance Evaluation of a Piping System, KAERI/CM-1402/2010, Korea Atomic Energy Research Institute, Daejeon, Republic of Korea, 2010.
  44. USNRC RG 1.122, Development of Floor Design Response Spectra for Seismic Design of Floor-Supported Equipment or Components.
  45. USNRC RG 1.60, Rev. 2, Design Response Spectra for Seismic Design of Nuclear Power Plants.