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Oscillating Motions :

• The study of vibrations is concerned with the oscillating motion of elastic bodies and the force associated with them.
• All bodies possessing mass and elasticity are capable of vibrations.
• Most engineering machines and structures experience vibrations to some degree and their design generally requires consideration of their oscillatory motions.
• Oscillatory systems can be broadly characterized as linear or nonlinear.
  
  Linear systems :
      The principle of superposition holds
  • Mathematical technique available for their analysis are well developed.
  
  Nonlinear systems :
      The principle of superposition doesn't hold
  • The technique for the analysis of the nonlinear systems are under development (or less well known) and difficult to apply.
• All systems tend to become nonlinear with increasing amplitudes of oscillations.
• There are two general classes of vibrations– free and forced.

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