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Computational methods in nonlinear analysis of structures
Venerdì 08 Maggio 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 Questo indirizzo e-mail è protetto dallo spam bot. Abilita Javascript per vederlo. .

 

Programma

  • 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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