Characteristics of free and forced vibrations of elementary systems; Eigensolution techniques and undamped response analysis of multiple-degree-of-freedom systems; Eigensolution methods and response analysis for proportional and non-proportional damping; dynamic stiffness and energy methods for distributed mass systems; dynamic stiffness method for coupling vibration, elastic media and Pdeltal effect; consistent mass method of frames and finite elements; numerical integration methods and seismic response spectra for single- and multi-components seismic input; formulation and response analysis of 3-D building systems with walls and bracings; various hysteresis models of non-linear response analysis; static and dynamic lateral-force procedures and related effects in building codes of UBC-94, UBC-97, and IBC-2000; problems; solutions. Appendices: Lagrange's equation; derivation of ground rotation; vector analysis fundamentals; transformation matrix between JCS and GCS; transformation matrix between ECS and GCS for beam column; transformation matrix and stiffness matrix; of beams column with rigid zone; computer program for Newmark method; computer program for Wilson method; computer program for CQC method; Goel steel-bracing hysteresis model and computer program; Takeda model for RC columns and beams and computer program; Cheng-Mertz model for bending coupling with shear and low-rise shear walls and computer program; Cheng-Lou axial hysteresis model for RC columns and walls and computer program.