Is there a mathematical process for calculating an objects resonance?

In summary, the conversation discusses methods for performing a modal analysis using finite element analysis to determine the natural frequency and mode shape of an object. One option is to research published solutions for simple shapes, such as cylinders or square plates, or to do the calculation by hand. Another suggestion is to consult a book on the topic, such as "Formulas for Natural Frequency and Mode Shape" by Robert D. Blevins. Additionally, it is recommended to provide a drawing of the object for further assistance.
  • #1
Qaiphyx
92
0
^^^ Any way to get to it by using size / weight / etc.?
 
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  • #2
One way is to perform what's called a Modal analysis using Finite Element Analysis. Chances are you don't have $20k to buy the software and $6k for a good enough computer.

I suggest you google "Model analysis" and see if there are any published solutions for the more "canned" simple shapes. There may be closed solutions for shapes such as cylinders, square plates, etc.
 
  • #3
If the object is a simple shape, you can do that calculation by hand.
 
  • #4
russ_watters said:
If the object is a simple shape, you can do that calculation by hand.

Example or link to information on how to do this please?
 
  • #5
Qaiphyx said:
Example or link to information on how to do this please?

Robert D. Blevins. Formulas for Natural Frequency and Mode Shape, Krieger Pub Co (January 1, 2001).

You could post a drawing of the object.
 

Related to Is there a mathematical process for calculating an objects resonance?

1. What is resonance and why is it important?

Resonance is the tendency of an object to vibrate at its natural frequency. It is important because it can affect the stability, strength, and performance of structures and machines.

2. How is the natural frequency of an object determined?

The natural frequency of an object is determined by its physical properties, such as mass, stiffness, and damping. It can also be affected by external factors, such as applied forces or environmental conditions.

3. Is there a formula for calculating an object's resonance?

Yes, the formula for calculating an object's resonance is the equation for its natural frequency, which is: f = 1/2π * √(k/m), where f is the natural frequency, k is the stiffness of the object, and m is its mass.

4. Can resonance be harmful?

Resonance can be harmful if it occurs in a structure or machine that is not designed to withstand it. It can cause excessive vibrations, leading to structural damage or malfunctioning of equipment.

5. How can resonance be controlled or avoided?

Resonance can be controlled or avoided by designing structures and machines with appropriate stiffness and damping, and by avoiding or minimizing any external forces or conditions that could cause resonance.

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