K2 (N/m)
K1(N/m)
M2 (kgm)
M1(kgm)
Optinet Inc. Sizing Tools
X0 (m)
X1 (m)
X2 (m)
Fn1 (Hz)
Fn2 (Hz)
Input Variables
w (Hz)
Results
F0 (N)
w1 (Hz)
w2 (Hz)
RETURN
The Vibration Absorber Problem
Given mass M1 mounted on a spring K1 and excited by harmonic disturbance of force F which reciprocates at amplitude F0 and frequency w.
The problem is to design a vibration absorber with mass M2 which will be mounted on mass M1 by spring K2 such that the amplitude of vibration of M1 is 0.
Vibration Absorber
The solution is to choose M2 and K2 such that w2 will equal w. The resulting system will have two resonant frequencies Fn1 and Fn2. M1 will be stationary and M2 will oscillate at frequency w and amplitude X2 such that the force it applies on M1 is equal and opposite to the force F0 applied by the harmonic resonator.
X0 is shown as reference of the static displacement of M1 under force F0. w1 and w2 are the natural frequencies of M1 and M2 respectively when oscillating independent of each other
To use Optinet sizing tool for the design, enter M1,K1,F0 and w. Then estimated M2 and K2 to fit other considerations and iterate until w2 in the bottom of the results equal w at the bottom of the input variables. Click EXAMPLE then CALCULATE to see an example.