- #1

Master1022

- 611

- 117

- Homework Statement
- If we have an applied force of [itex] F(t) = A \sin(\omega t) [/itex]. If [itex] \omega_n = 1 [/itex], then what value of [itex] \omega [/itex] may show beating?

- Relevant Equations
- [itex] f = \abs{f_2 - f_1} [/itex]

This is for a standard mass-spring-damper system which is being modeled in MATLAB.

I have done some research on the internet and it just says that the frequencies should be close to show the beating phenomenon. Is there a general rule of thumb that I should follow to know how close the frequencies should be?

I have just been plugging in random values, but I am unable to really see an ouput that looks like any of the examples on the internet, nor am I able to justify why I have chosen said values.

Would appreciate it if someone could explain this idea of the frequencies being 'close' (and perhaps quantify that) or point me in the right direction, then I would appreciate that very much.

Thanks in advance.

I have done some research on the internet and it just says that the frequencies should be close to show the beating phenomenon. Is there a general rule of thumb that I should follow to know how close the frequencies should be?

I have just been plugging in random values, but I am unable to really see an ouput that looks like any of the examples on the internet, nor am I able to justify why I have chosen said values.

Would appreciate it if someone could explain this idea of the frequencies being 'close' (and perhaps quantify that) or point me in the right direction, then I would appreciate that very much.

Thanks in advance.