Mechanics of Solids, 2nd Edition

CHAPTER 17

Vibrations

17.1 Vibrations Types

Vibration is the motion of a constrained body about a central position and in its simplest form this to-and-fro motion will be in a straight line. Apparently the body moves between two extreme positions where its velocity becomes zero and all its energy is potential. At mean position all its energy is kinetic. This kind of motion presents classic example of constant energy and any loss of kinetic energy will be the gain of potential energy. The potential energy is in fact the strain energy since the body will be deforming. In its mean position the deformation will vanish but kinetic energy will be possessed by the body and hence it will continue to move.

Vibration as described above will require initial ...