Analysis and optimization against buckling of beams interacting with elastic foundation

• Nikolay Banichuk ^[1] ; Alexander Barsuk ^[3] ; Svetlana Ivanova ^[1] ; Evgeni Makeev ^[1] ; Pekka Neittaanmäki ^[2] ; Tero Tuovinen ^[2]
  1. [1] Russian Academy of Sciences

     Russian Academy of Sciences

     Rusia

     
  2. [2] University of Jyväskylä

     University of Jyväskylä

     Jyväskylä, Finlandia

     
  3. [3] University of Moldova

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• Localización: Mechanics based design of structures and machines, ISSN 1539-7734, Vol. 46, Nº. 5, 2018, págs. 615-633
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We consider an innite continuous elastic beam that interacts with linearly elastic foundation and is under compression. The problem of the beam buckling is formulated and analyzed. Then the optimization of beam against buckling is investigated. As a design variable (control function) we take the parameters of cross-section distribution of the beam from the set of periodic functions and transform the original problem of optimization of innite beam to the corresponding problem dened at the nite interval. All investigations are on the whole founded on the analytical variational approaches and the optimal solutions are studied as a function of problems parameters.