Probabilistic Approach as a Method Used in the Solution of Engineering Design for Biomechanics and Mining

Authors: Karel Frydrýšek

Abstract:

This paper focuses on the probabilistic numerical solution of the problems in biomechanics and mining. Applications of Simulation-Based Reliability Assessment (SBRA) Method are presented in the solution of designing of the external fixators applied in traumatology and orthopaedics (these fixators can be applied for the treatment of open and unstable fractures etc.) and in the solution of a hard rock (ore) disintegration process (i.e. the bit moves into the ore and subsequently disintegrates it, the results are compared with experiments, new design of excavation tool is proposed.

Keywords: probabilistic approach, engineering design, traumatology, rock mechanics

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1070143

References:

[1] K. Frydr├¢┼íek, Pravd─øpodobnostn├¡ v├¢po─ìty v mechanice 1 (Probabilistic Calculations in Mechanics 1), written in Czech language, ISBN: 978-80- 248-2314-0, V┼áB - Technical University of Ostrava, 2010, pp. 1-149.
[2] K. FrydrÛšek, "Stochastic Solution and Evaluation of the Ore Disintegration Process", in Proceedings of the 2009 International Conference on Scientific Computing CSC2009, ISBN: 1-60132-098-1, CSREA Press, Las Vegas, USA, 2009, pp. 40-46.
[3] K. FrydrÛšek, P. Koštial, K. Barabaszova, J. Kukutschová, "New ways for Designing External Fixators Applied in Treatment of Open and Unstable Fractures", in journal World Academy of Science, Engineering and Technology, ISSN 2010-376X (print version) ISSN 2010-3778 (electronic version), vol. 7, issue 76, 2011, pp. 639-644.
[4] K. FrydrÛšek, P. Marek, "Probabilistic Solution and Reliability Assessment of the Hard Rock Disintegration Process" (Chapter: Structural Reliability and Design Codes - pp. 1443-1450), in book: R. Briš, C. G. Soares, S. Martorell (editors): Reliability, Risk and Safety: Theory and Applications (ESREL 2009), vol. 2, ISBN 978-0-415-55509- 8, Taylor Francis Group, London, 2010, UK.
[5] K. FrydrÛšek, M. NikodÛm, Beams and Frames on Elastic Foundation 3, ISBN 978-80-248-2257-0, VŠB - Technical University of Ostrava, Ostrava, Czech Republic, 2010, pp. 1-611.
[6] K. FrydrÛšek, L. Pleva, P. Koštiál, "New Ways for Designing External Fixators Intended for the Treatment of Open and Unstable Fractures", in Applied Mechanics 2010, 12th. International Scientific Conference (Proceedings), Department of Applied Mechanics, Faculty of Mechanical Engineering, Technical University of Liberec, Liberec, Czech Republic, ISBN 978-80-7372-586-0, 2010, pp. 43-47.
[7] A. Haldar, S. Mahadevan, Probability, Reliability and Statistical Methods in Engineering Design, John Willey & Sons, Inc, ISBN 0-471- 33119-8, New York, 2001, USA.
[8] Z. Kala, "Sensitivity Analysis of Steel Plane Frames with Initial Imperfections", in Engineering Structures, vol.33, no.8, 2011, pp. 2342- 2349.
[9] R. Madeja, L. Pleva, P. Vávrová, "Navigation in Traumatology", j. Úraz. chir., 17, no. 3, Czech Republic, 2009, pp. 1-6.
[10] P. Marek, J. Brozzetti, M. Guštar, P. Tikalsky, Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, (2nd extended edition), ISBN 80-86246-19-1, ITAM CAS, Prague, Czech Republic, 2003.
[11] P. Marek, M. Guštar, T. Anagnos, Simulation-Based Reliability Assessment For Structural Engineers, CRC Press, Boca Raton, USA, ISBN 0-8493-8286-6, 1995.
[12] L. Pleva, External Fixator for Treatment of Acetabulum Fractures, final report of the project IGA MZ ─îR, reg. ─ì. 3522-4, written in Czech language, FNsP - Ostrava-Poruba, Czech Republic, pp. 1-77, 1999.
[13] K. Rozum, External Fixators for the Treatment of Open Unstable Fractures, inaugural work written in Czech language, FME, VŠB - Technical University of Ostrava, Czech Republic, ISBN 978-80-248- 1670-8, pp. 1-43, 2008.
[14] J. TokarskÛ, P. Čapková, D. Rafaja, V. Klemm, M. Valášková, J. Kukutschová, V. Tomášek, "Adhesion of Silver Nanoparticles on the Clay Substrates; Modeling and Experiment", in Applied Surface Science, ISSN: 0169-4332, (2009), doi:10.1016/j.apsusc.2009.11.037.
[15] M. Val├í┼íkov├í, G. Simha Martynkov├í, V. Mat─øjka, K. Barabaszov├í, E. Plevov├í, D. M─øř├¡nsk├í, "Organovermiculite Nanofillers in Polypropylene", in Applied Clay Science, ISSN 0169-1317, 43, 2009, pp. 108-112.