SS-V: 2130 1D Damped Oscillator: Translation or Rotation
Test No. VM14Determine the frequency and damping rate
of a 1D damped oscillator.
Definition
The material properties are:
Steel or rigid body, m = 0.00784998 [kg], k = 1[ N/m], c = 0.1 [N·s/m],
Izz = 1.30833e-07 [kg·m2] , krot =
1[N·m/rad], crot = 6.0e-04 [N·m·s/rad]
Figure 1. Translation motion
Figure 2. Rotational motion
Modeling and
Results
The spring and damper is modeled with a bushing. To restrict
motion to one dimension, sliding conditions are applied on two sides of the
cube-shaped body for translational motion or on one side for rotational motion.
Frequency and rate of damping are compared to the values from the analytical
solution. The below results are for bushing.