How Do You Add Angular Frequencies in Wave Simulations?

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To create a simulation of beats, the user needs to add angular frequencies sequentially to form a resultant frequency for a wave packet. The challenge lies in understanding how to combine these angular frequencies effectively, as existing resources primarily address amplitude displacement rather than the addition of frequencies. The user seeks clarification on the correct method to achieve this without focusing on beat frequency. Additional insights or guidance on this topic would be beneficial. The discussion highlights a need for clearer explanations regarding the addition of angular frequencies in wave simulations.
Ginny Mac
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I am working on creating a simulation of beats. I need to start with:

(where w is angular frequency),

w1 + w2 = w1,2
then
w1,2 + w3 = w1,2,3
then
w1,2,3 + w4 = w1,2,3,4
and so on, to create a wave packet where I will plot w1,2,3,4...n.

My problem is that I do not understand how to add the angular frequencies in order to arrive at the resultant frequencies! I have only found equations for amplitude displacement of the sound wave, nothing about adding angular frequencies. And I know that I am not supposed to find the beat frequency.

Any help pointing me in the right direction would be appreciated. Thank you!

Ginny
 
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I don't understand what you are trying to do. Can you elaborate?
 
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