Nell'ambito del corso di Dottorato in Ingegneria Strutturale, Geotecnica e Rischio Sismico (XXXVI ciclo), nei giorni 8-11, 15-18 giugno 2020 (ore 9:00-12:00) 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 f.marmo@unina.it.

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.