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2.15. Frequency of Under Damped Forced Vibrations

58 Frequency of Under Damped Forced Vibrations Consider a system consisting of spring, mass and damper as shown in Fig. 22. Let the system is acted upon by an external periodic ( simple harmonic) disturbing force, Fx F cos .t where F = Static force, and = Angular velocity of the periodic disturbing force. When the system is constrained to move in vertical guides, it has only one degree of freedom. Let at sometime t, the mass is displaced downwards through a distance x from its mean position.

It is the ratio of maximum displacement of the forced vibration (x max ) to the deflection due to the static force F(xo). We have proved in the previous article that the maximum displacement or the amplitude of forced vibration, Fig.22 Relationship between magnification factor and phase angle for different values of .

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