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Probabilistic assessment of beams rested on an elastic foundation

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This article deals with the application of the Method of Initial Parameters (MIP) for a straight beam rested along its entire length on an elastic foundation. It presents the derivation of relationships and analytical solutions for one example according to the 1st-order theory (i.e. bending and thermal stress). A deterministic and probabilistic approach is implemented – i.e. the application of the Simulation-Based Reliability Assessment (SBRA) Method (Monte Carlo simulations and probabilistic reliability assessment).
Rocznik
Strony
118--125
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
  • Department of Mechanics of Materials, Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, Ostrava, Czech Republic
autor
  • Department of Mechanics of Materials, Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, Ostrava, Czech Republic
autor
  • Department of Mechanics of Materials, Faculty of Mechanical Engineering, VSB - Technical University of Ostrava, Ostrava, Czech Republic
Bibliografia
  • 1.Frydrýšek, K.: Beams and frames on elastic foundation 1 (Nosníky a rámy na pružném podkladu 1). Ostrava: VŠB - Technical University of Ostrava, 2006, p. 1 -463.
  • 2.Frydrýšek, K, Jančo, R., et al: Beams and frames on elastic foundation 2 (Nosníky a rámy na pružném podkladu 2). Ostrava: Technical University of Ostrava, 2008,p. 1 - 516.
  • 3.Frydrýšek, K., Nikodým, M., et al: Beams and frameson elastic foundation 3 (Nosníky a rámy na pružném podkladu 3). Ostrava: VŠB - Technical University ofOstrava, 2010, p. 1 - 611.
  • 4.Marek, P., Guštar, M., Pustka, D., et al: Simulation based reliability assessment [online]. Available from: <http://www.sbra-anthill.com/>
  • 5.Frydryšek, K.: Probabilistic calculations in mechanics 1 (Pravděpodobnostní výpočty v mechanice 1). Ostrava: , VŠB - Technical University of Ostrava, 2010, p. 1 -149.
  • 6.Marek, P., Brozetti, J., Guštar, M., Tikalsky, P., et al: Probabilistic assessment of structures using Monte Carlo simulation (2ndedition). Praha: Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, 2003, p. 1 - 471 (CD attached).
  • 7.Hetényi, M.: Beams on elastic foundation. Ann Arbor, University of Michigan Studies, 1946.
  • 8.Frydrýšek. K., Tvrdá, K., Jančo, R., et al: Handbook of structures on elastic foundation. Ostrava: VŠB- Technical University of Ostrava, 2013, p. 1 -1691.
  • 9.Frydrýšek, K.: Monte Carlo approach applied in the design of machine parts and structure. “International Journal of Mechanics” 2012, Vol. 6, Iss. 4, p. 222 - 229.
  • 10.Jones, G.. Analysis of beams on elastic foundations using finite difference theory. London: Thomas Telford Publ. 1997, p. 1 - 164.
  • 11.Frydrýšek, K., Fries, J.: Application of structureson elastic foundations (Aplikace konstrukcí na pružném podkladu). Ostrava: VŠB - Technical University of Ostrava, 2010, p. 1 - 204.
  • 12.Marek, P., Guštar, M., Anagnos, T.: Simulation-based reliability assessment for structural engineers. Boca Raton: CRC Press, 1995.
  • 13.Frydrýšek, K., Jančo, R. , Gondek, H.: Solutions of beams, frames and 3D structures on elastic foundation using FEM. “International Journal of Mechanics” 2013, Vol. 7, Iss. 4, p. 362 - 369.
  • 14.Winler, E.: Die Lehre von der Elastizitat und Festigkeit (The Theory of Elasticity and Stiffness). Prague: H. Dominius, 1867.
  • 15.Frydrýšek K.: Biomechanics - probabilistic reliability assessment of femoral screws. In: Book of Abstracts 6th International Conference on New Methods of Damage and Failure Analysis of Structural Parts. Ostrava 2014, p. 33 - 34.
  • 16.Frydrýšek, K., Jořenek J., Učeň, O., Kubín, T., Žilka, L., Pleva, L.: Design of external fixators used in traumatology and orthopaedics – treatment of fractures of pelvis and its acetabulum. “Procedia Engineering” 2012, Vol. 48, p. 164 - 173.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-03d59238-9eb2-400e-a98b-a8e4bd0b9ecf
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