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Unformatted text preview: atural frequency
of the absorber system alone: (ω = ωa = K 2 / M2 )
then at steady-state, the main mass motion, x1(t), is zero, and the absorber mass motion, x2(t) is given by: F
x 2 ( t ) = − o sin(ω t )
In the analysis, a sinusoidal force, of unit amplitude, is approximated by entering discrete values in an array and
specifying the array in a dynamic load definition. An initial velocity is provided to the absorber mass, corresponding
to the steady-state condition. The resulting motion agrees with the theory of the vibration absorber. The system
parameters were selected arbitrarily, resulting in a natural frequency for the absorber system alone of 10 radians
per second. This is the required absorber natural frequency for eliminating main mass motion if the input frequency
is also 10 radians per second. Also, the chosen parameters result in a steady-state absorber mass response
amplitude of 0.01 m. ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 3–8 VME4 Results Comparison
Target ANSYS Ratio Amplitude of Absorber Deflection 0.01 0.01 1.000 Maximum Main Mass Defl...
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- Spring '09
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