Abstract
The design of the neural network model and its adaptive wavelets (wavelet networks and wavenets) was used to estimate the wave-induced hydrodynamic inline force acting on a vertical cylinder. The data used to calibrate and validate the models were obtained from an experiment. In the brain, wavelet neural networks (WNNs) use wavelets to activate their hidden layers of neurons. In WNNs, both the position and dilation of the wavelets are optimized along with the weights. In one special approach to this kind of network construction, the position and dilation of the wavelets are fixed and only the weights of the network are optimized. In the present study, the neural network procedure and the above mentioned approach were employed to design a WNN, a so-called wavenet, using feed-forward neural network topology and its training method. Then, a comparison of these two methods was made. Numerical results demonstrate that both networks are capable of predicting hydrodynamic inline force. Furthermore, the combination of the neural network concept and the wavelet theory i.e. wavenet provides a more robust tool rather than standard feed-forward neural network, considering its more appropriate ability to predict any other data which the network had not experienced before. The results of this study can contribute to reducing the errors in future efforts to predict hydrodynamic inline force using WNNs, and thus improve the reliability of that prediction in comparison to the ANN and other methods. Therefore, this method can be applied to relevant engineering projects with satisfactory results.














Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Koterayama W, Matsumoto N (1982) Experimental study of hydrodynamic forces and wave forces exerted on a truss. Ocean Eng 9(3):221–234
Cook GR, Simiu E (1989) Hydrodynamic forces on vertical cylinders and the light hill correction. Ocean Eng 16(4):355–372
Chakrabarti SK, Cotter DC (1984) Hydrodynamic coefficients of a mooring tower. J Energy Resource Technol 106:449–458
Nakamura S, Saito K, Takagi M (1986) On the increased damping of a moored body during low-frequency motions in waves. 5th international OMAE symposium, Tokyo
Koterayama W, Nakamura M (1988) Hydrodynamic forces acting on a vertical circular cylinder oscillating with a very low frequency in waves. Ocean Eng 15(3):271–287
Morison JR, O’Brien MP, Johnson JW, Schaff SA (1950) The force on a submerged cylinder near a plane boundary. J Trans Am Inst Min Eng 189:149–154
Morison JR, Johnson JW, O’Brien M (1953) Experimental studies on wave force on piles. In: Proceedings of the fourth conference on coastal engineering. ASCE, New York
Mac Camy RC, Fuchs RA (1954) Wave force on piles: a diffraction theory. Tech. Memo. 69, US Army Corps of Engineers, Beach Erosion Board
Sarpkaya T (1976) Forces on cylinders near a plane boundary in a sinusoidally oscillating fluid. J Fluids Eng 98:499–505
Sundaravadivelu R, Sundar V, Rao TS (1997) Technical note: wave forces and moments on an intake well. Ocean Eng 26:363–380
Armenio V (1998) Dynamic loads on submerged bodies in a viscous numerical wave tank at small KC numbers. Ocean Eng 25(10):881–905
Zhu G, Borthwick AGL, Taylor ER (2001) A finite element model of interaction between viscous free surface waves and submerged cylinders. J Ocean Eng 28:989–1008
Zou J-F, Huang Y-O, Yin X-Y, Ren AL (2002) Simulation of gravity currents using VOF model. J China Ocean Eng 16:525–536
Zhao M, Teng B, Tan L (2004) A finite element solution of wave force on submerged horizontal circular cylinder. J China Ocean Eng 18:335–346
Deo MC, Naidu CS (1999) Real time wave forecasting using neural networks. Ocean Eng 26:191–203
Agrawal JD, Deo MC (2002) On-line wave prediction. Mar Struct 15:57–74
Makarynskyy O (2004) Improving wave predictions with artificial neural networks. Ocean Eng 31:709–724
Makarynskyy O, Pires-Silva AA, Makarynskyy D, Ventura-Soares C (2005) Artificial neural networks in wave predictions at the west coast of Portugal. Comput Geosci 31:415–424
Kazeminezhad MH, Etemad-Shahidi A, Mousavi SJ (2005) Application of fuzzy inference system in the prediction wave parameters. Ocean Eng 32:1709–1725
Mahjoobi J, Etemad-Shahidi A, Kazeminezhad MH (2008) Hindcasting of wave parameters using different soft computing methods. Appl Ocean Res 30:28–36
Gaur S, Deo MC (2008) Real-time wave forecasting using genetic programming. Ocean Eng 35:1166–1172
Etemad-Shahidi A, Mahjoobi J (2009) Comparison between M5-model tree and neural networks for prediction of significant wave height in Lake Superior. Ocean Eng 36:1175–1181
Jain P, Deo MC (2006) Neural networks in ocean engineering. Int J Ships Offshore Struct 1:25–35
More A, Deo MC (2003) Forecasting wind with neural networks. Mar Struct 16:35–49
Lotfollahi-Yaghin MA, Sanaaty B (2008) A new method in determining random wave-induced inline force. World Appl Sci J 3(4):674–683
Lotfollahi-Yaghin MA, Pourtaghi A, Sanaaty B, Lotfollahi-Yaghin A (2012) Artificial neural network ability in evaluation of random wave induced inline force on a vertical cylinder. China Ocean Eng 26(1):19–36
Chakrabarti SK, Cotter DC (1984) Hydrodynamic coefficients of a mooring tower. J Energy Resource Technol 106:449–458
Mackwood PR (1993) Wave and current flows around circular cylinders at large scale. LIP Project 10D
Wolfram J, Naghipour M (1999) On the estimation of Morison force coefficients and their predictive accuracy for very rough circular cylinders. Appl Ocean Res 21:311–328
Chakrabarti SK (1981) Hydrodynamic coefficients for a vertical tube in an array. Appl Ocean Res 3(1):2–12
Chakrabarti SK (1987) Hydrodynamics of offshore structures. Computational Mechanics Publications, New York
Isaacson M, (1979) Nonlinear Inertia Forces on Bodies Journal of the Waterway Port Coastal and Ocean Division, Vol. 105, No. 3, pp. 213-227
Chaplin JR (1984) Nonlinear forces on a horizontal cylinder beneath waves. J Fluid Mech 147:449–464
Sarpkaya T, Isaacson M (1981) Mechanics of wave forces on offshore structures. Van Nostrand Reinhold, New York. ISBN 0442254024
Sumer BM, Fredsoe J (2006) Hydrodynamics around cylindrical structures. Advanced Series on Ocean Engineering, vol 26 (revised ed.). World Scientific, ISBN 9812700390
Kim C-Y, Bae G-J, Hong SW, Park CH, Moonb HK, Shin HS (2001) Neural network based prediction of ground surface settlements due to tunneling. Comput Geotech 28:517–547
Kartam N, Flood I (1998) Artificial neural networks for civil engineers: fundamentals and applications. ASCE
Rumelhart DE, Hinton GE, McClellend JL (1986) A general framework for parallel distribution processing parallel distribution processing, vol 1. MIT Press, Cambridge
Hertz J, Krogh A, Palmer RG (1991) Introduction to the theory of neural computation. Addison-Wesley, California
Lekutai G (1997) Adaptive self-tuning neuro wavelet network controllers, Blacksburg
Thuillard M (2000) A review of wavelet networks, wavenet, fuzzy wavenets and their applications. ESIT, Aachen, pp 5–16
Oussar Y, Dreyfus G (2000) Initialization by selection for wavelet network training. Neurocomputing 34:131–143
Gholizadeh S, Salajegheh E, Torkzadeh P (2008) Structural optimization with frequency constraints by genetic algorithm using wavelet radial basis function neural network, J Sound Vibr, 312, 316–331
Tsai RT, Leu WM, Chen LY, Hu NT (2002) A reversibly dissociable ternary complex formed by XpsL, XpsM and XpsN of the Xanthomonas campestris pv. campestris type II secretion apparatus. Biochem J 367:865–871
Philippe DW (1997) Neural network models. Springer, London
Hecht-Nielson R (1987) Kolmogorov’s mapping neural network existence theorem. In: Proceedings of the first IEEE international joint conference on neural networks, vol 3, New York, pp 11–14
Rogers LL, Dowla FU (1994) Optimization of groundwater remediation using artificial neural networks with parallel solute transport modeling. Water Resource Res 30(2):457–481
Author information
Authors and Affiliations
Corresponding author
About this article
Cite this article
Pourtaghi, A., Lotfollahi-Yaghin, M.A. Hydrodynamic inline force prediction on vertical cylinders: a comparative study of neural network and its adaptive wavelets (wavenets). J Mar Sci Technol 18, 418–434 (2013). https://doi.org/10.1007/s00773-013-0218-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00773-013-0218-1