|
EM 523 - Structural Stability (Estabilidade Estrutural)
Elastic columns. Differential formulation using equations of second and fourth order. Analytical examples. Formulation by the finite difference method. Examples. Elastic columns. Variational formulation. Principle of minimum potential energy. Rayleigh-Ritz method. Approximations by polynomials and trigonometric functions. Finite element method. Nonelastic columns. Theories of tangent modulus and reduced modulus. Comparison with the codes. Beam columns. Differential formulation. Formulations by the finite difference method. Variational formulation. Ragleigh-Ritz method. Examples. Plane frames. Formulation by the finite element method. General formulation of an elastic stability problem. Second order deformation. Geometric matrix. Formulation as an eigenvalue problem. Formulation of a non-linear problems. Methods of solution. Objectives Structural stability of columns, beam-columns and frames. General formulation via finite elements. |