well done, would read again, A+++
I need to derive an equation of motion for how the ground resonates when a pneumatic drill is the driving force. The equation will use Newton's second law and I am totally stuck.
So the system isn't a damped driven harmonic oscillator?
Being driven at [A (cos wt)] ? Because that's what it sounds like to me.![]()
42.
Is this schoolwork?
Nerd alert!No it is for my own personal enjoyment.
Well, we know that the earth moves downward when Chuck Norris does push-ups, perhaps this helps?
If your equation is for the ground, the drill will simply provide a driving force like daz says.
The ground will be damped with a co-ordinate dependent damping co-efficent that lets the ground vibrate less as the square of the distance from the drill.
You need to consider each annuli seperatley, with its own damping co-efficent and its own mass, with each annuli being driven by the one next ot it. if you wanted to be fancy you could incorperate phase into it as well.