 The frequency depends upon the wave-length parallel to the axis, and not upon the radius of the cylinder. The remaining roots of (25) correspond to motions for which V= 0, or which take place in planes through the axis. The general character of these...  Proceedings of the Royal Society of London - Page 450by Royal Society (Great Britain) - 1889Full view - About this book
 | John William Strutt Baron Rayleigh - 1894 - 516 pages
...purely torsional ones represented by m=0, v = sin ( jzja) cos pt, w = 0 (38), where V* = —,\ (39). The frequency depends upon the wave-length parallel...the radius of the cylinder. The remaining roots of (37) correspond to motions for which V=0, or which take place in planes passing through the axis. The... | |
 | John William Strutt Baron Rayleigh - 1894 - 516 pages
...purely torsional ones represented by where cos^i, w = 0 ............ (38), I» 1 1 pa 1 n- = — (39). The frequency depends upon the wave-length parallel...the radius of the cylinder. The remaining roots of (37) correspond to motions for which F=0, or which take place in planes passing through the axis. The... | |
 | John William Strutt Baron Rayleigh - 1902 - 622 pages
...vibrations are the purely torsional ones represented by v = sin fiz cos pt, (26) where p' = n(j?/p (27) The frequency depends upon the wave-length parallel...these vibrations may be illustrated by the case where n is small, or the wave-length a large multiple of the radius of the cylinder. We find approximately... | |
 | John William Strutt Baron Rayleigh - 1926 - 522 pages
...are the purely torsional ones represented by w = 0, v = sm(jz/a)cospt, «> = 0 (38), where pa* (39). The frequency depends upon the wave-length parallel...the radius of the cylinder. The remaining roots of (37) correspond to motions for which V=0, or which take place in planes passing through the axis. The... | |
 | John William Strutt Baron Rayleigh, Robert Bruce Lindsay - 1945 - 548 pages
...v=sin(jz/a)cospt, w—0. (38), where p8_¿ (39). The frequency depends upon the wave-length parallel to the axi6, and not upon the radius of the cylinder. The remaining roots of (37) correspond to motions for which V- 0, or which take place in planes passing through the am The... | |
| |
