Mechanical Vibrations By G.K. Grover

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 structural damping
• Slip or Interfacial damping
• Practice Problems