Dynamic loads and dynamic models of structures. Methods of derivation of equations of motions for structural systems (Equilibrium of forces, principle of virtual displacements, Hamilton’s, principle, Langrage equations). Damping (viscous, Coulomb, structural). Discretization of continuous systems. Free and forced vibrations of SDOF systems. The finite element method for beam structures. (plane and space trusses and frames). Rigid bodies in elastic structures. Axial constraints. Free vibrations of MDOF systems. Modal damping, proportional damping. Numerical evaluation of eigenfrequencies and mode shapes. Partially restrained structures. Forced vibrations of MDOF systems. The method of modal superposition. Modal participation, static correction method. Reduction of degrees of freedom (kinematic constraints, Ritz vectors). Support excitation. Response spectrum analysis (ABSSUM, CQC, SRSS). Nonlinear response of structures Numerical solution of the equations of motion in time domain. Dynamic analysis of multi-storey buildings. Base isolation. Applications to civil engineering structures.
- Teacher: Μαρία Νεραντζάκη