Table Of Contents Fundamental of Vibrations Introduction Definitions Vect6z method of representing harmonic motion Addi!,nn of two simple harmonic motions of the same frequency Pheromelion of beats Complex method of representing harmonic motion Work done by a harmonic force on a harmonic motion Fourier series and harmonic analysis Analytical method for harmonic analysis Numerical method for harmonic analysis Notes on certain type of functions Practice Problems Undamped Free Vibrations of Single Degree of Freedom System Introduction Derivations of differential equation Solution of differential equation Torsional vibrations Equivalent stiffness of spring combinations Spring in series Springs in parallel Inclined springs Rayleigh's energy method Practice Problems Damped Free Vibrations of Single legree of Freedom Systems Introduction Different types of damping Free vibrations with viscous damping Over ? damped system Critically ? damped system Under ? damped system Logarithmic decrement Viscous dampers Fluid dashpot Eddy current damping Dry friction or coulomb damping Frequency of damped oscillations Rate of decay of oscillations Solid or structura