Is there a mathematical process for calculating an objects resonance?

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Discussion Overview

The discussion revolves around the mathematical processes for calculating an object's resonance, focusing on methods applicable to various shapes and sizes. Participants explore theoretical approaches, practical applications, and resources for further information.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Homework-related

Main Points Raised

  • Some participants inquire about methods to calculate resonance based on size and weight.
  • One participant suggests using Modal analysis through Finite Element Analysis, noting the high cost of software and hardware required for such analysis.
  • Another participant mentions that calculations can be performed by hand for simple shapes.
  • There is a request for examples or links to information on hand calculations for resonance.
  • A specific resource is provided: "Robert D. Blevins. Formulas for Natural Frequency and Mode Shape, Krieger Pub Co (January 1, 2001)." as a potential reference for further exploration.
  • Participants express interest in visual aids, such as drawings of the objects in question, to facilitate understanding.

Areas of Agreement / Disagreement

Participants generally agree that resonance calculations can be performed for simple shapes, but there is no consensus on the best method or resources available for more complex shapes.

Contextual Notes

The discussion does not resolve the limitations of the methods mentioned, such as the assumptions required for hand calculations versus more complex analyses, nor does it clarify the scope of shapes that can be analyzed using the suggested resources.

Who May Find This Useful

This discussion may be useful for students, engineers, and researchers interested in resonance calculations and methods for analyzing the vibrational characteristics of objects.

Qaiphyx
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^^^ Any way to get to it by using size / weight / etc.?
 
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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.
 
If the object is a simple shape, you can do that calculation by hand.
 
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?
 
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.
 

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