Steady State Forced Vibrations On the page Ref..Forced Vibrations covering vibration of a mass (m) with a k spring stiffness and c viscous damping
subject to a sinusoidal force of P cosω t.
The modulus A was shown to be The phase angle φ was shown to be using the following derived relationships.. The dimensionless relationship between the Static displacement P/k (= X The phase angle can be related to the driving frequency and the natural frequency Rotating Unbalanced MassFor the case of a mass M supported on springs k with viscous damping c which is supporting a rotating
unbalanced load of mass m rotating with and angular frequency ω at a radius r .
The peak amplitude and phase are provided by the following dimensionless expressions Excitation of BaseFor the case of a mass m supported on springs k with viscous damping c on a base which is moving
with an excitation of form y = Y sin ω t . The ratio of peak ampltude of the mass and the base and the phase are provided by the following dimensionless expressions |

- Damped Forced Vibrations Tool...Java applet providing visual display or forced vibrations
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