All types of vibration control approaches-passive, semi-active and active- require analyzing the dynamics of vibrating systems. In other cases, eliminating vibrations may save human lives, a good example is the vibration control of civil engineering structures in an earthquake scenario. For example, passenger ride comfort in aircraft or automobiles is greatly affected by the vibrations caused by outside disturbances, such as aeroelastic effects or rough road conditions. Most of the time, however, the vibration of mechanical systems is undesirable as it wastes energy, reduces efficiency and may be harmful or even dangerous. There are cases when vibrations are desirable, such as in certain types of machine tools or production lines. Vibrations are mechanical oscillations about an equilibrium position.
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