{"id":1053,"date":"2020-04-01T15:30:37","date_gmt":"2020-04-01T13:30:37","guid":{"rendered":"https:\/\/pans.krosno.pl\/pracownicy\/?page_id=1053"},"modified":"2025-05-19T09:32:46","modified_gmt":"2025-05-19T07:32:46","slug":"bogumil-wrana-najwazniejsze-publikacje","status":"publish","type":"page","link":"https:\/\/pans.krosno.pl\/pracownicy\/bogumil-wrana\/bogumil-wrana-najwazniejsze-publikacje\/","title":{"rendered":"prof. dr hab. Bogumi\u0142 Wrana – Najwa\u017cniejsze publikacje"},"content":{"rendered":"
\n

Ksi\u0105\u017cki<\/strong><\/p>\n

    \n
  1. W 1993 r. – Ustroje pr\u0119towe. Metoda element\u00f3w sko\u0144czonych. Statyka liniowa, Wyd. Polit.Krakowska.<\/li>\n
  2. W 2000 r. – Metoda kr\u0119pych element\u00f3w spektralnych i jej zastosowanie do analizy fundament\u00f3w pod turbozespo\u0142y, Nomografia 253, Politechnika Krakowska.<\/span><\/li>\n
  3. W 2005 r. – Mosty zintegrowane, Wyd. Komunikacji i \u0141\u0105czno\u015bci.<\/li>\n
  4. W 2012 r. – Dynamika gruntu. Modele obliczeniowe, Wyd. Politechnika Krakowska.<\/li>\n
  5. W 2014 r. – Lectures on Soil Mechanics, Wyd. Politechnika Krakowska.<\/li>\n
  6. W 2015 r. – Laboratory of Soil Mechanics, Wyd. Politechnika Krakowska.<\/li>\n
  7. W 2016 r. – Lectures on Foundation Design, Wyd. Politechnika Krakowska.<\/li>\n
  8. W 2016 r. – Soil Dynamics. Computations Models. Wyd. Politechnika Krakowska.<\/li>\n<\/ol>\n

    Wybrane artyku\u0142y<\/strong><\/p>\n

      \n
    1. R. Ciesielski, B. Wrana, Two methods for soil-structure interaction with seismic excitation, Progress in Earthquake Research and Engineering, Friedr. Vieweg and Sohn, 1992, A.A. Balkema, 1994.<\/li>\n
    2. R. Ciesielski, B. Wrana, Dynamic Properties of a Large Space Structure, Archives of Civil Engineering, XL (3-5), 1994, 309-317.<\/li>\n
    3. J. Orkisz, B. Wrana, Metoda obliczania warto\u015bci i wektor\u00f3w w\u0142asnych problemu Au=LBu w dowolnym pa\u015bmie widma, Mechanika i Komputer, Tom 5, Warszawa 1983, 97-106.<\/li>\n
    4. J. Orkisz, B. Wrana, O pewnej szybkozbie\u017cnej metodzie obliczania ekstremalnych warto\u015bci i wektor\u00f3w w\u0142asnych problemu Au=L Bu, Mechanika i Komputer, Tom 5, Warszawa 1983, 107-115.<\/li>\n
    5. B. Wrana, Macierz dynamiczna elementu tr\u00f3jwymiarowego stanu napr\u0119\u017cenia o o\u015bmiu w\u0119z\u0142ach, „Mechanika i Komputer”, Tom 9, 257-271, Warszawa 1989, IPPT PAN.<\/li>\n
    6. B. Wrana, Analiza wra\u017cliwo\u015bci ram p\u0142askich na problem w\u0142asny, Polska Akademia Nauk – Oddzia\u0142 w Krakowie, Komisja Budownictwa – Problemy In\u017cynierii L\u0105dowej, 1992, 49-58.<\/li>\n
    7. B. Wrana, \u201cBOMES\u201d – Pakiet program\u00f3w do oblicze\u0144 statycznych i dynamicznych konstrukcji pr\u0119towych, In\u017cynieria i Budownictwo, 1\u201993, 9-11.<\/li>\n
    8. B. Wrana, A. Zi\u0119ba, Odpowied\u017a gazoci\u0105gu podziemnego na wybrane typy obci\u0105\u017ce\u0144 udarowych, In\u017cynieria i Budownictwo, 9, 1995, 460-463.<\/li>\n
    9. B. Wrana, Non-linear Elastic-Plastic Model of Soil-Structure Interaction in Time Domain, Proc. 6th International Conference \u201cSoil Dynamic & Earthquake Engineering\u201d SDEE 93, 14-16\/06 1993, Bath U.K.<\/li>\n
    10. B. Wrana, Soil-Structure Interaction in Time Domain for Viscoplastic Material Using Damping Q-model. GAMM Cracow, April 1-5 1991, 1.2a.<\/li>\n
    11. B. Wrana, Spectral element and finite element of Thimoshenko beam, Tech. Univ. Budapest, Research News, 2000\/4, 20-29.<\/li>\n
    12. R. Ciesielski, B. Wrana, Specificity of dynamic analysis of reinforced concrete foundations under turbogenerators, Journal of Theoretical and Applied Mechanics, 2, 38, 2000, 247-258.<\/li>\n
    13. B. Wrana: A Discontinuous Galerkin Finite Element Method for Dynamic of Fully saturated soil, Archives of Civil Engineering, LVII, 1, 2011, 119-134.<\/li>\n
    14. B. Czado, B. Wrana: Bearing Capacity of Pile Foundation Based on CPT Results in Accordance to Polish Standards and Eurocode 7, AGH Journal of Mining and Geoeng. Vol. 36, No 2, 2012, 111-120.<\/li>\n
    15. M. Skrzycki, B. Wrana, Influence of Clay Mineral Content on Landfill Cap Cover with Special Attention to Swelling, AGH Journal of Mining and Geoengineering, Vol. 36, No 2, 2012, 269-277.<\/li>\n
    16. B. Wrana, N. Pietrzak, Influence of interia forces on soil settlement under harmonic load, Studia geotechnica et mechanica, No. 1(2013), 245-258.<\/li>\n
    17. B. Wrana, Dynamics coefficient for two-phase soil model, Studia geotechnica et mechanica, Vol. 36 (2014), No.2, 57-65.<\/li>\n
    18. B. Wrana, N. Pietrzak, Slope stability estimation of the Kosciuszko Mound in Cracow, Studia Geotechnica et Mechanica, Vol 37, No 2, 2015, 93-101.<\/li>\n
    19. B. Wrana, Pile load capacity \u2013 calculation methods, Studia Geotechnica et Mechanica, Vol 37, No 4, 2015, 83-93.<\/li>\n<\/ol>\n