CVEEN 7255 - Advanced Dynamics of Structures

The course presents analytical methods for multiple degree of freedom dynamic structural systems; topics include inelastic design spectrum; Rayleigh's method for natural vibration frequency; Lagrange's equation of motion; static condensation method; orthogonality of vibration modes; classical dumping; modal damping matrices; displacement superposition method; modal response contributions, modal expansion of excitation vector; modal equations and responses; response spectrum analysis; time stepping methods including Newmark's method and Wilson's method; influence of period and beam-to-column stiffness ratio on modal contribution factors; allowable ductility and ductility demand; base isolated buildings; structural dynamics in the building codes; comparison of building codes; and displacement-based design using elastic and inelastic design spectra.