[ Spring pendulum ] Centrifugal Force transmissibility

In summary, the conversation discusses the concept of a spring pendulum rotating at a hinge and the possibility of calculating force transmissibility in this scenario. The speaker also brings up the idea of quantifying the effect of rotation on the vibration of the spring. They also mention the use of centrifugal force in these calculations.
  • #1
nzur
2
0
Hey folks,

I just wonder how you guys think about this.

Assume that there is a spring pendulum rotating at hinge (Free swing or forced swing).

In this case, can I calculate force transmissibility (transmitted force amplitude to ground via spring devided by centrifugal force amplitude) ?

or is it not logical because centrifugal force is not excitation force to the system ?

The point is, if there is a rotation, spring would vibrate more than the case w/o rotation. So I want to quantify how much the rotation affect to the vibration.

Does it make sense to you?

Any kind of comment will be very appreciated. Thanks!
 
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  • #2
If you construct a pendulum so the usual string is replaced by a spring, you get what is more usually the case - a real pendulum string is a bit stretchy. The restoring force from the spring provides the tension keeping it on a curved path.

The other image that comes to mind is a rotor made from a mass on the end of a spring.

To both systems you could add oscillations.

If you wanted to know how the normal mass-on-a-spring oscillations are affected by being in a rotating system - then it would make sense to use centrifugal force (eg. if you did the mass-on-a-spring experiment inside a rotating space-station).
 

1. What is a spring pendulum?

A spring pendulum is a physical system consisting of a mass attached to a spring, which is then suspended from a fixed point. When the mass is pulled and released, it will oscillate back and forth due to the restoring force of the spring.

2. What is centrifugal force?

Centrifugal force is a fictitious force that appears to act on objects in circular motion. It is caused by the inertia of the object trying to move in a straight line, while the circular path constrains it to move in a curved path.

3. How is centrifugal force related to spring pendulums?

Centrifugal force is not directly related to spring pendulums, but it can affect the motion of the pendulum in certain cases. When the spring pendulum is in circular motion, the centrifugal force can play a role in determining the amplitude and frequency of the oscillations.

4. What is transmissibility in the context of a spring pendulum?

Transmissibility in spring pendulums refers to the ability of the system to transmit vibrations or oscillations from one point to another. It is typically measured by the ratio of the output amplitude to the input amplitude.

5. How is transmissibility affected by centrifugal force in a spring pendulum?

In a spring pendulum, the centrifugal force can have a significant impact on the transmissibility of the system. In some cases, it can increase the transmissibility, while in others it can decrease it. The exact effect depends on the specific parameters of the system, such as the mass, spring constant, and radius of circular motion.

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