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Quadratic Volterra 모델을 이용한 자유지지 라이저의 동적 응답 시계열 예측

Time Series Prediction of Dynamic Response of a Free-standing Riser using Quadratic Volterra Model

  • 김유일 (인하대학교 공과대학 조선해양공학과)
  • Kim, Yooil (Department of Naval Architecture and Ocean Engineering, College of Engineering, INHA University)
  • 투고 : 2013.08.13
  • 심사 : 2014.04.28
  • 발행 : 2014.08.20

초록

Time series of the dynamic response of a slender marine structure was predicted using quadratic Volterra series. The wave-structure interaction system was identified using the NARX(Nonlinear Autoregressive with Exogenous Input) technique, and the network parameters were determined through the supervised training with the prepared datasets. The dataset used for the network training was obtained by carrying out the nonlinear finite element analysis on the freely standing riser under random ocean waves of white noise. The nonlinearities involved in the analysis were both large deformation of the structure under consideration and the quadratic term of relative velocity between the water particle and structure in Morison formula. The linear and quadratic frequency response functions of the given system were extracted using the multi-tone harmonic probing method and the time series of response of the structure was predicted using the quadratic Volterra series. In order to check the applicability of the method, the response of structure under the realistic ocean wave environment with given significant wave height and modal period was predicted and compared with the nonlinear time domain simulation results. It turned out that the predicted time series of the response of structure with quadratic Volterra series successfully captures the slowly varying response with reasonably good accuracy. It is expected that the method can be used in predicting the response of the slender offshore structure exposed to the Morison type load without relying on the computationally expensive time domain analysis, especially for the screening purpose.

키워드

참고문헌

  1. Bedrosian, E., Rice, S.O., 1971. The Output Properties of Volterra Systems Driven by Harmonic and Gaussian Inputs. Proceedings IEEE, 59(12), pp.1688-1707. https://doi.org/10.1109/PROC.1971.8525
  2. Billings, S.A. & Tsang, K.M., 1989. Spectral Analysis for Nonlinear System, part I : Parametric non-Linear Spectral Analysis. Mechanical Systems and Signal Processing, 3(4), pp.319-339. https://doi.org/10.1016/0888-3270(89)90041-1
  3. Chance, J.E. Worden, K. & Tomlinson, G.R., 1998. Frequency Domain Analysis of NARX Neural Networks. Journal of Sound and Vibration, 213(5), pp.915-941. https://doi.org/10.1006/jsvi.1998.1539
  4. Hong, N.S., 1999. Nonlinear Dynamic Analysis of Deep Water Riser by the Utilization on the Kinematic Constraint Condition. Journal of the Computational Structural Engineering Institute of Korea, 12(3), pp.459-508.
  5. Hong, Y.P. & Koterayama, W., 2004. An experimental and numerical study on dynamics of a flexible riser. Proceedings of the Annual Autumn Meeting of the Society of Naval Architects of Korea, Sancheong, 20-22 October 2004, pp.652-661.
  6. Hosseini Kordkheili, S.A. Bahai, H. & Mirtaheri, 2011. An updated Lagrangian Finite Element Formulation for Large Displacement Dynamic Analysis of Three-Dimensional Flexible Riser Structures. Ocean Engineering, 38(5), pp.793-803. https://doi.org/10.1016/j.oceaneng.2011.02.001
  7. Kim, H.J. Hong, S.Y. & Kim, J.H., 2002. Experimental Study on Slow Drift Motion Damping. Journal of the Society of Naval Architecture of Korea, 39(4), pp.24-31. https://doi.org/10.3744/SNAK.2002.39.4.024
  8. Lee, S.C. Goo, J.S. Ha, Y.R. & Jo, H.J., 2012. A Dynamic Structural Response Analysis of Tension Leg Platforms in Current and Waves. Journal of the Korean Society for Power System Engineering, 16(1), pp.65-71. https://doi.org/10.9726/kspse.2012.16.1.065
  9. Low, Y.M. & Langley, R.S., 2008. A Hybrid Time/Frequency Domain Approach for Efficient Coupled Analysis of Vessel/ Mooring/ Riser Dynamics. Ocean Engineering, 35(5), pp.433-446. https://doi.org/10.1016/j.oceaneng.2008.01.001
  10. Low, Y.M., 2011. Extending a Time/Frequency Domain Hybrid Method for Riser Fatigue Analysis. Applied Ocean Research, 33(2), pp.79-87. https://doi.org/10.1016/j.apor.2011.02.003
  11. Mackay, D.J.C., 1992. Bayesian Interpolation. Neural Computation, 4, pp.415-447. https://doi.org/10.1162/neco.1992.4.3.415
  12. Mazaheri, S. & Downie, M.J., 2004. Response-based Method for Determining the Extreme Behavior of Floating Offshore Platforms. Ocean Engineering, 32(3), pp.363-393.
  13. Peng, Z.K. Lang, Z.Q. Wolters, C. Billings, S.A. & Worden, K., 2010. Feasibility Study of Structural Damage Detection using NARMAX Modeling and Nonlinear Output Frequency Response Function based Analysis. Mechanical Systems and Signal Processing, 25(3), pp.1045-1061.
  14. Pina, A.C. Pina, A.A. Albrecht, C.H. Lima, B.S.L.P. & Jacob, B.P., 2013. ANN-based Surrogate Models for the Analysis of Mooring Lines and Risers. Applied Ocean Research, 41, pp.76-86. https://doi.org/10.1016/j.apor.2013.03.003
  15. Rodrigues, M.V. Correa, F.N. & Jacob, B.P., 2007. Implicit Domain Decomposition Methods for Coupled Analysis of Offshore Platform. Communications in Numerical Methods in Engineering, 23(6), pp.599-621.
  16. Vazquez-Hernandez, A. Ellwanger, G. & Sagrilo, L., 2011. Long-Term Response Analysis of FPSO Mooring Systems. Applied Ocean Research, 33(4), pp.375-383. https://doi.org/10.1016/j.apor.2011.05.003
  17. Wray, J. & Green, G.G.R., 1994. Calculation of the Volterra Kernels of Nonlinear Dynamic System using an Artificial Neural Network. Biological Cybernetics, 71(3), pp.187-195. https://doi.org/10.1007/BF00202758
  18. Yasseri, S.F. Bahai, H. Bazargan, H. & Aminzadeh, A., 2010. Prediction of Safe Sea-State using Finite Element Method and Artificial Neural Network. Ocean Engineering, 37(2), pp.200-207. https://doi.org/10.1016/j.oceaneng.2009.11.006