This course introduces modeling of mechanical and structural systems for vibration analysis. The contents include free and forced vibration of single degree-of-freedom (SDOF) system, such as response due to harmonic, periodic and non-periodic excitations. Multiple degree-of-freedom (MDOF) systems and continuous systems will also be covered. There are four types of vibration analyses, including modal, harmonic, transient and spectrum response analyses. Numerical methods in solving vibration problems are treated.