Spring and Damper system for viabrations

[printz0r]

Hi,

This is a real life problem I am trying to find vibration effects.

I have 2 servo motors constantly going back and forth on a granite countertop. The two servo motors are moving two 75 KG masses.

I am trying to solve for the vibration effects that will happen on the granite countertop and all I read about is mass damper systems.

Is there a spring and damper value that I should assign to the granite table?

How do I solve the problem?

 

[Bobbywhy]

printzOr, So you want to find “the vibration effects that will happen”! I cannot tell you how to predict (solve) for them.

You might consider measuring the vibrations of the granite countertop with accelerometers, for example.

Cheers,
Bobbywhy

 

[AlephZero]

You need to explain what "vibration effects" you are interested in, before you will get much useful help here. Some diagrams or photos of the setup might be useful to explain what the problem is.

 

[LabGuy330]

Vibration studies are accomplished by modeling systems as "spring-mass-dampers." However it is vital to provide a diagram of your setup to see exactly what your talking about.

 

[alphy]

I would recommend approaching this problem by first understanding the fundamental principles of vibration and how it relates to the spring and damper system. The spring and damper system is a commonly used mechanical model for analyzing vibrations in various systems. In this case, the two servo motors and masses can be represented as a single mass-spring-damper system.

To solve for the vibration effects on the granite countertop, you would need to determine the natural frequency of the system, which is affected by the mass, stiffness of the spring, and damping coefficient of the damper. The natural frequency is the frequency at which the system will vibrate without any external forces applied.

Since the granite countertop is a rigid structure, it can be assumed that the spring stiffness will be very high. Therefore, the main factor to consider would be the damping coefficient of the damper. This value can be determined experimentally by measuring the amplitude of vibration at different frequencies and using the measured data to calculate the damping coefficient. Alternatively, you can also use simulation software to model the system and determine the damping coefficient.

Once you have the damping coefficient, you can then calculate the natural frequency of the system and determine the vibration effects on the granite countertop. It is important to note that the spring and damper values may vary depending on the specific setup and conditions, so it would be best to conduct further experiments or simulations to fine-tune the values for your specific system.

In summary, to solve this problem, you would need to determine the natural frequency of the system by considering the mass, spring stiffness, and damping coefficient. This can be done through experiments or simulations, and the values can be adjusted as needed to accurately predict the vibration effects on the granite countertop. I hope this helps and good luck with your research!