Application of non-classical operational calculus to indicate hazards in numerical solutions of engineering problems

• Autorzy: Mieloszyk Eligiusz , Wyroślak Mariusz

Identyfikatory

DOI

10.2478/sgem-2019-0047

• Języki publikacji: EN

Abstrakty

EN

The article addresses the application of non-classical operational calculus to approximative solutions of engineering problems. The engineering-sound examples show that a continuous–discrete problem transformation from differential unequivocal problem to a differential wildcard problem, triggering a change in solution quality. A number of approximative methods are capable to alter both quantitative and qualitative solution effects.

Słowa kluczowe

EN

approximative computation; non-classical operational calculus; quantity analysis

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2020
• Tom: Vol. 42, nr 3
• Strony: 242--247
• Opis fizyczny: Bibliogr. 18 poz., rys.

Twórcy

autor

Mieloszyk Eligiusz

• Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland

autor

Wyroślak Mariusz

• Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

• [1] M. Abramski, E. Mieloszyk, A. Milewska, Analysis of compressive forces in cylindrical pillars and their coatings using laboratory tests and metric spaces, (2018) (in preparation).
• [2] M. J. Afshari, M. Gholhaki, Shear degradation of steel plate shear walls with optional located opening, Arch. Civ. Mech. Eng., 18 (2018) 1547-1561.
• [3] API6S3, Tank inspection, repair, alternation and reconstruction, American Petroleum Institute, Washington, USA, 2005.
• [4] T. Dahlberg, B. Aakesson, S. Westberg, Modelling the dynamic interaction between train and track, Railway Gazette International, 149 (1994).
• [5] G. Diana, F. Cheli, S. Bruni, and A. Collina, Interaction between railroad superstructure and railway vehicles, Vehicle System Dynamics, 23 (1994).
• [6] I. Herle, Constitutive Modelling of Granular Materials, Chapter: Numerical predictions and reality, Springer, (2003) 333-351.
• [7] G. Li, Stress analysis of stepped shell wall and bottom plate of large cylindrical storage, Mechanics and Practise, 1(4) (1979).
• [8] E. Mieloszyk, Application of non-classical operational calculus to solving some boundary value problem, Integral Transforms and Special Functions, 9 (4) (2000) 287-292.
• [9] E. Mieloszyk, Non-classical operational calculus in application to generalized dynamical systems, Polish Academy of Science, Scientific Publishers, (2008).
• [10] E. Mieloszyk, S. Grulkowski, Generalized Taylor formula and shell structures for the analysis of the interaction between geosynthetics and engineering structures of transportation lines, CRC Press Taylor & Francis Group, (2017) 561-564.
• [11] E. Mieloszyk, W. Koc, General dynamic method for determination transition curve equations, Rail International, 22 (10) (1991) 32-40.
• [12] A. Milewska, A solution of non-linear differential problem with application to selected geotechnical problems, Archives of Civil Engineering, LVIII (2) (2011) 187-197.
• [13] M. Moravčik, Experimental investigation of the vehicle-rail interaction, TESE Proceedings, 1 (1994) 73-78.
• [14] E. Selig, J. Waters, Track Geotechnology and Substructure Management, University of Massachusetts (1994).
• [15] S. K. Shukla, S. Chandra, A study on a new mechanical model for foundations and its elastic settlement response, International Journal for Numerical Methods in Geomechanics, 20 (1996) 594-604.
• [16] S. Timoshenko, S. Woinowsky-Krieger, Theory of plates and shells, McGraw-Hill, Incorporated (1959).
• [17] T. Wu, More accurate method devised for tank-bottom annular plate design, Oil Gas Journal, 94 (21) (1996).
• [18] T. Y. Wu, G. R. Liu, Comparison of design method for a tank-bottom annular plate and concrete ringwall, International Journal of Pressure Vessels and Piping, 77 (2000) 511-517.