Undergrad Physics -- Need help understanding the concept of resonance please

[danial3333]

I need help about the concept of resonance.
I will be thanksful if someone help me.

Please consider a system has two natural frequencies, and resonance will occur at two these natural frequencies. Now my question is what is different between these two renosances that has occurred? And Which property do have those two natural frequencies?

 

[lekh2003]

Hello Danial3333, welcome to the forum.

I think you need a little bit more studying to do with frequencies and resonances. Take a look at these links which will help you understand the concepts:

http://www.physicsclassroom.com/Class/sound/u11l4b.cfm#resonance

http://www.physicsclassroom.com/class/sound/Lesson-4/Fundamental-Frequency-and-Harmonics

You can read a little bit more about any other concepts you have trouble with on this website as well.

 

[FactChecker]

The response of a system to different frequencies can be handled separately and summed. It's not clear what you mean by "what is different" and "which property". A system can respond to different frequencies in the same axes, on different axes, or on overlapping sets of axes. The same can be said about the states of a system -- two resonant frequencies can affect the same states, different states, or overlapping sets of states. It can be analysed by looking at the eigenstructure of the (linearized) system.

 

[Herman Trivilino]

Please consider a system has two natural frequencies, and resonance will occur at two these natural frequencies. Now my question is what is different between these two renosances that has occurred?

Each is the frequency of a different mode of vibration.

And Which property do have those two natural frequencies?

Frequency of vibration is a property of the system. It doesn't make sense to say that frequency has a property.

 

[FactChecker]

A system will have certain properties at any frequency: gain and phase shift. The properties of a frequency are the frequency, wave length, and amplitude.
At a resonant frequency, it is important to know the system gain, which determines if it is stable or divergent. This includes frequency 0, which will either fade exponentially to 0 or grow exponentially to infinity. If the frequency is non-zero, the amplitude of the cycles will still grow or fade exponentially. One property that is nice to know is the "time to double", which tells you how much time there is to control any divergent behavior.

 

[danial3333]

Thanks for Helping