Standing Waves and Resonance in Fixed-End Transverse String Vibration

[ofeyrpf]

Hi,
Considering a transverse wave on a string fixed at both ends... I understand that a wave summed with its reflection will produce a standing wave at any frequency.
Is it correct that this standing wave is resonating only when that standing wave has nodes at each end?
(Well not necessarily node, could be antinodes for a sound way and an open pipe.)
Any help would be greatly appreciated,
Thanks,
Shane

 

[zoki85]

This video is good for a start:

 

[Philip Wood]

If the string is fixed at both ends, it's bound to have nodes at both ends. That quantises the frequencies at which it can vibrate. I wouldn't talk about resonating unless you really mean that the string is absorbing energy from an external 'driver' (such as a tuning fork) which is oscillating at one of the string's natural frequencies.