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The damping range of underdamping is
Underdamping damping range is 0 to 1.

When the underdamping is 0- 1, the solution is a pair of yoke roots with negative real parts. Time format recovery is characterized by oscillation, which is called underdamped condition. When critical damping = 1, the solution is a pair of real roots, and the damping mode of the system is called critical damping.

In real life, the doors of many houses or shower rooms in buildings are equipped with torsion springs that automatically close stores, and correspondingly equipped with damping door hinges, so that the damping of the doors is close to critical damping, so that when the shops are closed or the doors are gently blown open by the wind, people will not easily make a lot of noise.

When the overdamping is 1, the solution is a pair of different real roots, and the damping mode of the system is called overdamping. When the damping door hinge installed on the frame of the automatic door makes the damping of the door too large, the automatic store must be closed for a longer time. Extended information: the physical meaning of damping is the loss of force or mechanical energy of the object in the theme activity.

Simply put, it is to prevent the object from moving again. When an object vibrates under the action of external force, it will establish a reaction force that consumes external force, which is called damping force.