Abstract
Design of a pick-up device using the Coandă effect in a deep-sea mining robot is vital to develop a reliable and sustainable deep-sea mining system. One of the crucial performance metrics of this device is the collection efficiency since it affects the mining efficiency of the entire system. However, the collection efficiency is significantly affected by the uncertainties of shape, size and mass of manganese nodules on the seabed. In this study, reliability-based design optimization (RBDO) was performed to improve the reliability of the collection efficiency of the pick-up device under these environmental uncertainties. First, a computational model based on the Coandă effect that predicts the collection efficiency of the pick-up device was developed. Next, RBDO based on the Akaike information criterion method was employed to design the pick-up device by using this model. The results demonstrated that the proposed design methodology significantly improved the design of the pick-up device for the pilot mining robot.
Similar content being viewed by others
References
R. Sharma, Deep-sea mining: Economic, technical, technological, and environmental considerations for sustainable development, Marine Technology Society Journal, 45 (2011) 28–41.
A. B. Valsangkar, Deep-sea polymetallic nodule mining: challenges ahead for technologists and environmentalists, Marine Georesources and Geotechnology, 21 (2003) 81–91.
M. Lee, S. Cho, J. Choi, H. Kim, S. Hong and T. H. Lee, Metamodel-based multidisciplinary design optimization of a deep-sea manganese nodules test miner, Journal of Applied Mathematics, 2012 (326954) (2012) 1–18.
J. Oh, C. Lee, S. Hong, D. Bae, H. Cho and H. Kim, A study of the kinematic characteristic of a coupling device between the buffer system and the flexible pipe of a deep-seabed mining system, International Journal of Naval Architecture and Ocean Engineering, 6 (3) (2014) 652–669.
S. Yoon, T. Yeu, S. Hong and S. Kim, Basic control algorithm for parallel formation of multi-mining robots, Ocean and Polar Research, 36 (4) (2014) 465–473. (in Korean).
S. Min, S. Hong, S. Park, J. Choi, H. Kim and T. Yeu, Track velocity control of crawler type underwater mining robot through shallow-water test, Journal of Mechanical Science and Technology, 26 (10) (2012) 3291–3298.
J. Choi, S. Hong, S. Chi, H. Lee, C. Park, H. Kim, T. Yeu and T. H. Lee, Probability distribution for the shear strength of seafloor sediment in the KR5 area for the development of manganese nodule miner, Ocean Engineering, 38 (2011) 2033–2041.
S. Cho, J. Jang, S. Kim, S. Park, T. H. Lee, M. Lee, J. Choi, H. Kim and S. Hong, Nonparametric approach for uncertainty-based multidisciplinary design optimization considering limited data, Structural and Multidisciplinary Optimization, 54 (2016) 1671–1688.
H. O. Madsen, S. Krenk and N. C. Lind, Methods of Structural Safety, Prentice Hall, Englewood Cliffs, New Jersey, USA (1986).
B. D. Youn and K. K. Choi, An investigation of nonlinearity of reliability-based design optimization approaches, Journal of Mechanical Design, 126 (3) (2004) 403–411.
K. Breitung, Asymptotic approximations for multinormal integrals, Journal of Engineering Mechanics, 110 (3) (1984) 357–366.
M. Hohenbichler and R. Rackwitz, Improvement of second-order reliability estimates by importance sampling, Journal of Engineering Mechanics, 114 (12) (1988) 2195–2199.
S. Rahman and H. Xu, A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics, Probabilistic Engineering Mechanics, 19 (4) (2004) 393–408.
B. D. Youn, Z. Xi and P. Wang, Eigenvector dimension reduction (EDR) method for sensitivity-free probability analysis, Structural and Multidisciplinary Optimization, 37 (2008) 13–28.
J. Won, C. Choi and J. Choi, Improved dimension reduction method (DRM) in uncertainty analysis using kriging interpolation, Journal of Mechanical Science and Technology, 23 (5) (2009) 1249–1260.
W. Lim and T. H. Lee, Reliability-based design optimization using Akaike information criterion for discrete information, Transactions of the Korean Society of Mechanical Engineers A, 36 (8) (2012) 921–927.(in Korean).
W. Lim, J. Jang, S. Kim, T. H. Lee, J. Kim, K. Lee, C. Lee and Y. Kim, Reliability-based design optimization of an automotive structure using a variable uncertainty, Proceedings of the Institution of Mechanical Engineers Part D: Journal of Automobile Engineering, 230 (10) (2016) 1314–1323.
K. Min, J. Shim, S. Hong, J. Choi and H. Amann, Conceptual design of a hybrid pick-up device for deep ocean mining, Proc. of the Second Ocean Mining Symposium, Seoul, Korea (1997) ISOPE-M-97-016.
S. Hong, J. Choi, J. Kim and C. Yang, A note on design and operation of waterjet nodule lifter of manganese nodule collector, International Journal of Offshore and Polar Engineering, 11 (3) (2001) 237–239.
S. Hong, H. Kim, J. Choi, T. Yeu, S. Park, C. Lee and S. Yoon, A self-propelled deep-seabed miner and lessons from shallow water tests, Proc. of the ASME 29th International Conference on Ocean,Offshore and Arctic Engineering, Shanghai, China (2010) 75–86.
M. Lee, S. Hong, J. Choi, H. Kim, T. Yeu, C. Min, S. Cho and T. H. Lee, Design optimization of a hydraulic deep-sea manganese pick-up device using Coanda effect, Proc. of the KSME 2013 Spring Annual Meeting, Jeongsun-gun, Gang-won-do, Korea (2013) 1660–1665.
J. Oh, J. Jung and S. Hong, On-board measurement methodology for the liquid-solid slurry production of deep-seabed mining, Ocean Engineering, 149 (2018) 170–182.
I. Reba, Applications of the Coandă effect, Scientific American, 214 (6) (1966) 84–92.
D. Geropp and H.-J. Odenthal, Drag reduction of motor vehicles by active flow control using the Coanda effect, Experiment in Fluids, 28 (1) (2000) 74–85.
A. Mazumdar and H. H. Asada, Pulse width modulation of water jet propulsion systems using high-speed Coandă-effect valves, Journal of Dynamics Systems, Measurement and Control, 135 (5) (2013) 051019.
M. Benabed, Computational optimization of Coanda effect on film-cooling performance, Journal of Thermophysics and Heat Transfer, 29 (4) (2015) 757–765.
R. I. Ahmed, A. R. Abu Talib, A. S. Mohd Rafie and H. Djojodihardjo, Aerodynamics and flight mechanics of MAV based on Coandă effect, Aerospace Science and Technology, 62 (2017) 136–147.
H. Lee, S. Han, H. Lee, J. Jeon, C. Lee, Y. B. Kim, S. H. Song and H. R. Choi, Design optimization, modeling, and control of unmanned aerial vehicle lifted by Coandă effect, IEEE/ASME Transactions on Mechatronics, 22 (3) (2017) 1327–1336.
C. Gan, K. S. M. Sahari and C. Tan, Numerical investigation on Coanda flow over a logarithmic surface, Journal of Mechanical Science and Technology, 29 (7) (2015) 2863–2869.
B. E. Launder and W. Rodi, The turbulent wall jet, Progress in Aerospace Sciences, 19 (1979) 81–128.
L. C. Rodman, N. J. Wood and L. Roberts, Experimental investigation of straight and curved annular wall jets, AIAA Journal, 27 (8) (1989) 1059–1067.
H. B. Lee, W. Kim, Y. T. Ko, J. R. Oh and S. B. Chi, Status of manganese nodule samples in the library of marine samples (in Korean), Ocean Polar Research, 36 (4) (2014) 515–524.
J. H. Jung, Y. J. Kang, O. K. Lim and Y. Noh, A new method to determine the number of experimental data using statistical modeling methods, Journal of Mechanical Science and Technology, 31 (6) (2017) 2901–2910.
Y. J. Kang, Y. Noh and O. K. Lim, Development of a kernel density estimation with hybrid estimated bounded data, Journal of Mechanical Science and Technology, 32 (12) (2018) 5807–5815.
S. Kim, S. Cho, W. Lim, T. H. Lee, S. Park, S. Hong, H. Kim, C. Min, J. Choi, Y. Ko and S. Chi, Probability distribution for size and mass of a nodule in the KR5 area for the development of a manganese nodule miner, Ocean Engineering, 171 (2019) 131–138.
Y. Noh, K. K. Choi and L. Du, Reliability-based design optimization of problems with correlated input variables using a Gaussian Copula, Structural and Multidisciplinary Optimization, 38 (1) (2009) 1–16.
Y. Noh, K. K. Choi and I. Lee, Identification of marginal and joint CDFs using Bayesian method for RBDO, Structural and Multidisciplinary Optimization, 40 (1) (2010) 35–51.
R. B. Nelson, An Introduction to Copulas, Second Ed., Springer, New York, USA (2006).
H. Joe, Multivariate Models and Dependence Concepts, First Ed., Chapman & Hall, London, UK (1997).
Acknowledgements
This research was supported by a grant from the national R&D project of “Development of the Sea Test and Evaluation Technology for Marine System” funded by the Ministry of Oceans and Fisheries, Korea (PMS4090).
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Guest Editor Maenghyo Cho.
Saekyeol Kim received B.S. in Mechanical Engineering and M.S. in Automotive Engineering at the Hanyang University, Seoul, Korea, in 2014 and 2016, respectively, where he is currently working toward the Ph.D. degree in Automotive Engineering. His research interests include design optimization, reliability-based design optimization, surrogate modeling, uncertainty quantification, statistical model calibration and validation.
Tae Hee Lee is a Professor at the Department of Automotive Engineering, Hanyang University. He serves as the Executive Vice President of KSCM, General Council of IACM and Executive Committee of ASSMO. He received Awards for Academic Excellence in Mechanical Engineering (2013) and in CAE and Applied Mechanics (2016) from KSME, and KSCM Computational Mechanics Award (2018). He was a plenary lecturer of CJK-OSM 8 (2014), semi-plenary lecturer of WCCM XII (2016), and plenary lecturer of KSCM (2018). His research interests include design optimization, design under uncertainty, surrogate model-based optimization, design and analysis of computer experiments, and data-driven design.
Rights and permissions
About this article
Cite this article
Kim, S., Cho, Sg., Lee, M. et al. Reliability-based design optimization of a pick-up device of a manganese nodule pilot mining robot using the Coandă effect. J Mech Sci Technol 33, 3665–3672 (2019). https://doi.org/10.1007/s12206-019-0707-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-019-0707-1