Lecture 1 - General Introduction and Modelling of Dynamic Systems
Lecture 2 - Time Domain Analysis of Linear System - Harmonic input
Lecture 3 - Time Domain Analysis of Linear System - Arbitrary Input
Lecture 4 - Transformed technique in vibration of linear system
Lecture 5 - Formulation of problem: Equilibrium Approach
Lecture 6 - Formulation of problem by Energy Principle
Lecture 7 - Hamilton's principles for formulating vibration problems
Lecture 8 - Lagrange's equation for formulating vibration problems
Lecture 9 - One Dimensional Wave Equation
Lecture 10 - D-Alembert's Solution of the Wave Equation
Lecture 11 - Transverse Vibration of String
Lecture 12 - Forced Transverse Vibration of String
Lecture 13 - Axial Vibration of Bar
Lecture 14 - Torsional Vibration of Bar
Lecture 15 - Some typical problems in axial and torsional vibrations
Lecture 16 - Transverse vibration of beams
Lecture 17 - Natural frequencies and mode shapes of beams with various end conditions
Lecture 18 - Free damped transverse vibration analysis of beam
Lecture 19 - Forced damped vibration analysis of Euler Bernoulli beam
Lecture 20 - Vibration of beams subjected to moving load
Lecture 21 - Some special topics on the transverse vibration of beam
Lecture 22 - Combination of continuous and lumped parameter system
Lecture 23 - State space solutions in vibration problems
Lecture 24 - Beam with moving oscillator, pulstating force and rolling mass
Lecture 25 - Vibration of membrane
Lecture 26 - Vibration of Circular membrane
Lecture 27 - Vibration of Rectangular plate
Lecture 28 - Free vibration of rectangular plates
Lecture 29 - Forced vibration of rectangular plates
Lecture 30 - Approximate method for vibration analysis
Lecture 31 - Rayleigh-Ritz method for vibration analysis
Lecture 32 - Gallerkin's method and Finite difference method
Lecture 33 - System subjected to support excitation
Lecture 34 - Response of continuous systems to transient excitations
Lecture 35 - Shock spectrum due to half sine pulse
Lecture 36 - Numerical Evaluation of Duhamel Integral
Lecture 37 - Direct Integration Methods
Lecture 38 - Spectral Analysis of structures for earthquake excitation
