Coupled systems mechanics

  • 제2권1호
  • /
  • Pages.23-51
  • /
  • 2013
  • /
  • 2234-2184(pISSN)
  • /
  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Analytical model for estimation of digging forces and specific energy of cable shovel

  • Stavropoulou, M. (Department of Dynamic, Tectonic and Applied Geology, Faculty of Geology and Geoenvironment, University of Athens) ;
  • Xiroudakis, G. (Mining Engineering Design Laboratory, Department of Mineral Resources Engineering, Technical University of Crete) ;
  • Exadaktylos, G. (Mining Engineering Design Laboratory, Department of Mineral Resources Engineering, Technical University of Crete)
  • 투고 : 2012.06.10
  • 심사 : 2013.03.06
  • 발행 : 2013.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

An analytical algorithm for the estimation of the resistance forces exerted on the dipper of a cable shovel and the specific energy consumed in the cutting-loading process is presented. Forces due to payload and to cutting of geomaterials under given initial conditions, cutting trajectory of the bucket, bucket's design, and geomaterial properties are analytically computed. The excavation process has been modeled by means of a kinematical shovel model, as well as of dynamic payload and cutting resistance models. For the calculation of the cutting forces, a logsandwich passive failure mechanism of the geomaterial is considered, as has been found by considering that a slip surface propagates like a mixed mode crack. Subsequently, the Upper-Bound theorem of Limit Analysis Theory is applied for the approximate calculation of the maximum reacting forces exerted on the dipper of the cable shovel. This algorithm has been implemented into an Excel$^{TM}$ spreadsheet to facilitate user-friendly, "transparent" calculations and built-in data analysis techniques. Its use is demonstrated with a realistic application of a medium-sized shovel. It was found, among others, that the specific energy of cutting exhibits a size effect, such that it decreases as the (-1)-power of the cutting depth for the considered example application.

키워드

참고문헌

  1. Awuah-Offei, K. and Frimpong, S. (2007), "Cable shovel digging optimization for energy efficiency", Mech. Mach. Theory, 42(8), 995-1006. https://doi.org/10.1016/j.mechmachtheory.2006.07.008
  2. Awuah-Offei, K. and Frimpong, S. (2011), "Efficient cable shovel excavation in surface mines", Geotech. Geol. Eng., 29(1), 19-26. https://doi.org/10.1007/s10706-010-9366-9
  3. Blouin, S., Hemami, A. and Lipsett, M. (2001), "Review of resistive force models for earthmoving processes", J. Aerospace Eng., 14(3), 102-111. https://doi.org/10.1061/(ASCE)0893-1321(2001)14:3(102)
  4. Chen, W.F. (1975), Limit analysis and soil plasticity, Elsevier Scientific Publishing Company, Amsterdam.
  5. Detournay, E. and Atkinson, C. (2000), "Influence of pore pressure on the drilling response in low-permeability shear-dilatant rocks", Int. J. Rock Mech. Min., 37(7), 1091-1101. https://doi.org/10.1016/S1365-1609(00)00050-2
  6. Exadaktylos, G. and Xiroudakis, G. (2009), "A G2 constant displacement discontinuity element for analysis, of crack problems", Comput Mech, 45(4), 245-261.
  7. Exadaktylos, G. and Xiroudakis, G. (2010a), "The G2 constant displacement discontinuity method. - Part I: Solution of plane crack problems", Int. J. Solids Struct., 47(18-19), 2568-2577. https://doi.org/10.1016/j.ijsolstr.2010.05.016
  8. Exadaktylos, G. and Xiroudakis, G. (2010b), "The G2 constant displacement discontinuity method - Part II: Solution of half-plane crack problems", Int. J. Solids Structures, 47(18-19), 2578-2590. https://doi.org/10.1016/j.ijsolstr.2010.05.014
  9. Frimpong, S. and Hu, Y. (2004), "Parametric Simulation of Shovel-Oil Sands Interactions During Excavation", Int. J. of Surface Mining, Reclamation and Environment, 18(3), 205-219. https://doi.org/10.1080/13895260412331315553
  10. Hadjigeorgiou, J. and Scoble M.J. (1988), "Prediction of digging performance in mining", Int. J. Surface Mining, 2(4), 237-244
  11. Hemami, A., Goulet, S. and Aubertin, M. (1994), "Resistance of particulate media excavation: application to bucket loading", Int. J. Surface Mining, 8(3),125-129.
  12. Hendricks, C. and Scoble, M. (1990), "Post-blast evaluation through shovel performance monitoring", Proceedings of the Conference on Explosive and Blasting Technique, Canada Centre for Mineral and Energy Technology, 227-243.
  13. Hustrulid, W. and Kuchta, M. (1995), Open Pit Mine Planning and Design, A.A. Balkema: Rotterdam.
  14. Karpuz, C., Ceylanoglu, A. and Pasamehmetoglu, A.G. (1992), "An investigation on the influence of depth of cut and blasting on shovel digging performance", Int. J. Surface Mining , 6(4), 161-167.
  15. Lipsett, M.G. and Moghaddam, R.Y. (2011), Modeling excavator-soil interaction, Bifurcations, Instabilities and Degradations in Geomaterials, Springer Series in Geomechanics and Geoengineering, 347-366.
  16. Maciejewski, J. and Jarzebowski, A. (2002), "Laboratory optimization of the soil digging process", J. Terramechanics, 39(3), 161-179. https://doi.org/10.1016/S0022-4898(02)00022-8
  17. Palmer, A.C. and Rice, J.R. (1973), "The growth of slip surfaces in the progressive failure of over-consolidated clay", Proc. Roy. Soc. Lond. A., 332, 527-548. https://doi.org/10.1098/rspa.1973.0040
  18. Paraszczak, J., Planeta, S. and Szymanski, J. (2000), "Performance and efficiency measures for mining equipment", MPES 2000: Proceedings of the 9th Int. Symp. on Mine Planning and Equipment Selection, Athens, Greece, 6-9 November.
  19. Parker, A.P. (1981), The Mechanics of Fracture and Fatigue: An Introduction, E. & F. Spon in association with Methuen, Inc., New York.
  20. Shi, N. and Joseph, T.G. (2006), "A new Canadian shovel dipper design for improved performance", CIM Bulletin, 99, Volume 1 No. 2, March/April 2006, 6 pages.
  21. Stavropoulou, M. (2006), "Modeling of small-diameter rotary drilling tests on marbles", Int. J. Rock Mech. Min., 43(7), 1034-1051. https://doi.org/10.1016/j.ijrmms.2006.03.008

피인용 문헌

  1. Particle flow mechanism into cable shovel dippers vol.64, 2016, https://doi.org/10.1016/j.jterra.2015.12.003
  2. Rigid multi-body kinematics of shovel crawler-formation interactions vol.30, pp.4, 2016, https://doi.org/10.1080/17480930.2015.1093761
  3. Energy-minimum optimization of the intelligent excavating process for large cable shovel through trajectory planning vol.58, pp.5, 2018, https://doi.org/10.1007/s00158-018-2011-6