sir, I have a question in embedded applications. QUESTION: THERE IS A STEEL ROD OF SOME LENGTH AND TWO VIBRATION SENSORS ARE ATTACHED TO ITS ENDS. THERE IS A TAP(SOMEONE HITS THE ROD AT SOME POINT), BY USING THE READINGS OF VIBRATION SENSORS WHICH ARE CALIBRATED IN DISTANCE, WE HAVE TO FIND THE EXACT LOCATION OF THE TAP. THANKYOU.
Vibrations travel through a material at the speed of sound of the material. So, if the dimensions of the rod and the speed of sound in steel are known, it should be a fairly simple matter:
There are two knowns t1 and t2 (times at which the vibration was detected at each end of the rod) and two unknowns, t0 and x (the time at which the rod was tapped, and the position).
It can probably be simplified to just one known (delta t, the time difference between the detections) and one unknown, x.