I Resonant Frequency Formula for a given object

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The discussion centers on the challenge of determining the resonant frequency of various objects, such as cars, rocks, and water. While the formulas for continuous waves and springs are established, there is no single formula applicable to all objects. Instead, multiple resonant frequencies exist for different geometries, necessitating computer simulations to identify them. The Wave Equation is suggested as a common method for calculating resonant frequencies in simple geometries. Users are encouraged to explore resources, including videos, to better understand the Wave Equation.
btb4198
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I know the v = λf is the formula to find the resonance frequency of a single continuous wave and the formula for resonance frequency of a spring is: 1/2π∗sqrt(𝑘/𝑚)

but what about the Formula for a random object?
a car, or a rock, water ?

is there one Formula to rule them all? or do you have to develop an Formulae per object?
if so, how do you do that ?
 
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btb4198 said:
I know the v = λf is the formula to find the resonance frequency of a single continuous wave
Not really. That is the equation that relates the velocity of a traveling wave to its frequency and wavelength.

btb4198 said:
but what about the Formula for a random object?
a car, or a rock, water ?

is there one Formula to rule them all?
In general there will be many resonant frequencies of objects, and you will need to do computer simulations to try to figure out what they are.

One common way of calculating the resonant frequency of a simple geometry is to solve the Wave Equation:

https://en.wikipedia.org/wiki/Wave_equation

Are you familiar yet with the Wave Equation?
 
berkeman said:
Not really. That is the equation that relates the velocity of a traveling wave to its frequency and wavelength.In general there will be many resonant frequencies of objects, and you will need to do computer simulations to try to figure out what they are.

One common way of calculating the resonant frequency of a simple geometry is to solve the Wave Equation:

https://en.wikipedia.org/wiki/Wave_equation

Are you familiar yet with the Wave Equation?
I have hear of it before, but no I am not.
I use YouTube it and found these:
https://www.youtube.com/results?search_query=+Wave+Equation
I will watch these videos on it
 
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