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Computational methods in nonlinear analysis of structures
Friday, 08 May 2020 09:28


Nell'ambito del corso di Dottorato in Ingegneria Strutturale, Geotecnica e Rischio Sismico (XXXVI ciclo), nei giorni 8-11 giugno 2020 il Dott. Ing. FRANCESCO MARMO terrà, in modalità telematica su piattaforma MS TEAMS, il corso breve Computational methods in nonlinear analysis of structures. Per iscrizioni scrivere all'indirizzo This e-mail address is being protected from spambots. You need JavaScript enabled to view it .



  • Numerical strategies for the nonlinear analysis of frames: Static analysis: Newton method, with load, displacement and Arc-length controls. Dynamic analysis: Central difference method, Newmark method.
  • Beam elements based on stiffness formulation: Principle of virtual displacements. Kinematic assumptions. Evaluation of strains and stresses. Shape functions. Stiffness matrix and load vector.
  • Beam elements based on flexibility formulation: Equilibrium of beams. Principle of virtual forces. Elimination of rigid-body modes. Interpolation of nodal forces. Flexibility matrix and nodal displacement increments.
  • Element state determination. Elimination of iterations at the element level. Recovery of the displacement field.
  • Numerical issues: Quadrature rules for the evaluation of element integrals. Localization and size effects.
  • Evaluation of section response: Uniaxial stress strain laws for steel and concrete. Evaluation of sectional forces and stiffness matrix. Numerical quadrature. Formulas for polygonal sections.
  • Sectional analysis: Ultimate Limit State analysis of reinforced concrete sections subject to axial force and biaxial bending. Strength domains of RC sections.

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