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In this case the excitation frequency is much higher than the natural frequency of the system and the magnification factor approaches zero i.e., the mass vibrates very little about the mean equilibrium position. In other words, the disturbance varies so fast that the inertia of the system cannot cope with it and kind of ‘gives up'. To be sure the motion is still sinusoidal with the forcing frequency but the amplitude is extremely small. The dynamic response is just about 4% of the static response! Again, in this regime, one needs to critically examine whether it is necessary to perform a full fledged dynamic analysis. It is of course to be noted that high frequency vibration could result in eventual fatigue failure and secondly that even though vibratory displacements are small, the velocity need not be small since for a sinusoid. |