Why do we need forced vibration?
The vibration of a moving vehicle is forced vibration, because the vehicle's engine, springs, the road, etc., continue to make it vibrate. Forced vibration is when an alternating force or motion is applied to a mechanical system, for example when a washing machine shakes due to an imbalance.
How to Calculate Complementary Function?
Complementary Function calculator uses Complementary Function = Amplitude of Vibration*cos(Circular Damped Frequency-Phase Constant) to calculate the Complementary Function, The Complementary function formula is defined as a part of the solution for the differential equation of the under-damped forced vibrations. Complementary Function is denoted by x1 symbol.
How to calculate Complementary Function using this online calculator? To use this online calculator for Complementary Function, enter Amplitude of Vibration (A), Circular Damped Frequency (ωd) & Phase Constant (ϕ) and hit the calculate button. Here is how the Complementary Function calculation can be explained with given input values -> 2.527173 = 5.25*cos(6-0.785398163397301).