Resonance and Closed Pipe

Resonance If the natural frequency of the body is equal to natu- ras frequency of the body un- der forced Vioration ,then two bodies are in resonance Then the body under forced cibrati- on will to viorates with max- imum amplitude. Josed pipe Fundamental frequency- Ist mode, Ist segament, Ist harmonic 1/4 l= a l 4 f1= = V A a = 41 fi = V 41 2nd mode, 2ndseg- ment, 1st overtone, 3rd harmonics I 37 37 4 -4 2=61 3

f2 V f2 =V 41 3 f2 = 3V 41 3ramode, 3rd segment, 2nd overton, 5th h- armonics f3 = 5V 4l F3 = 5f, Ath add harmonics are prese nt fiffif = 1:3:5 nth mode (2n- 7th harmonics f= = (2n-1)v 4l nth harmonis, f= nv 41 nth overtone (2n+1)th harm- onics f= (2n+1)v 4l