BASIC TERMINOLOGY IN VIBRATIONS
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  • It should be noted from equations (1.12-1.14) that when displacement is a SHM the velocity and acceleration are also harmonic motion with same frequency of oscillation (i.e. displacement). However, lead in phases occurs by 900 and 1800 respectively with respect to the displacement as shown in Figure 1.2.

    From equations (1.12) and (1.14) we find

    •                                                                                                                     (1.15)

  • In harmonic motion acceleration is proportional to the displacement and is directed towards the origin.
  • The Newton's second law of motion states that the acceleration is proportional to the force. Hence for a spring (linear), we write

    •                                                                                                                       (1.16)

    where FS is the spring force and k is the stiffness of the spring. It executes harmonic
    motion as force is proportional to the displacement. (animation)

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