Free and forced vibrations of SDOF systems, time and frequency domain approaches - Formulation of equations of motion, Hamilton's principle, Lagrange equations of motions, continuous and discrete systems Study of MDOF - systems - Rayleigh - Ritz, Stodola and Holzer methods - Matrix methods for dynamic analysis, Eigen solution - Mode superposition. Vibrations of structures involving fluid - structure - solid interaction, dynamic behaviour of offshore towers - stochastic dynamics of offshore structures, frequency domain response - Narrow band systems, fatigue predictions - Response to wave, and earthquake loadings.