 (38). Thus far we might consider A to be a function of z ; but we will now treat it as a constant. In the integration with respect to z the odd powers of z will disappear, and we get as the energy of the whole cylinder of radius a, length 21, and thickness...  Proceedings of the Royal Society of London - Page 115by Royal Society (Great Britain) - 1889Full view - About this book
 | John William Strutt Baron Rayleigh - 1894 - 516 pages
...-jZ (*»-«)• V / J o + /( a{(Aa + B.*y + (A.'a + BJzf\ + S (« s - 1 Y (B, 1 + 5/ 2 ) . - -(12). Thus far we might consider A to be a function of z...get as the energy of the whole cylinder of radius a, leugth 21, and thickness 2/¿, = ¡ + J -¡Jo in which s = 2, 3, 4,.... , tt , .................. (13),... | |
 | John William Strutt Baron Rayleigh - 1894 - 516 pages
...+ n a{{A,a + B,zy + {AJa + B^zf) + 2 («»- 1 f (B,* + B t '*) ..(12). Thus far we might consider h to be a function of z; but we will now treat it as...cylinder of radius a, length 21, and thickness 2h, 7=j _ J o Uad+d, = -^ 2 (s- iy ^ - - |A< + A* + 2-(B t *+B t *)\+B/ + % P )J + fl.' + fl;«l in which... | |
 | John William Strutt Baron Rayleigh - 1902 - 622 pages
...L/aad) =—-=— 3a m vi + v a 2 -2 (*=-*)» {(A,a + B.*)* + (A,'a + B.'zf] + S (# - l) s (B* + 5/»)l. ...(38) Thus far we might consider A to be a function...whole cylinder of radius a, length 21, and thickness 1h, HirnhH 3a in which s = 2, 3, 4, 2(s 2 -l) 2 V=j I Uad$dz ^{^+^+»w+w .(39) * From Mr Love's general... | |
 | John William Strutt Baron Rayleigh - 1926 - 522 pages
...s<f>. Accordingly /•' Jo 4frrnh 3 f m 1 = - - -: 3a [m + na? ...(12). Thus far we might consider h to be a function of z ; but we will now treat it as...whole cylinder of radius a, length 21, and thickness 2/<, l +t F" TT iu 8irnh*l~, ^Jm.^(. J -i Jo 3a \_m + n ( Uadfydz = — — 2 (s"- - 1)- - lA* + A?... | |
 | John William Strutt Baron Rayleigh, Robert Bruce Lindsay - 1945 - 548 pages
...1(A,a + Bz)' + (A.'a + B.'z)') + ¿ (a'— 1)' (B¿+ Ba”)] .. (12). Thus far we might consider I to be a function of z; but we will now treat it as...whole cylinder of radius a, length 21, and thickness 2k, +15,, 8irnA'i ma' veeJf Uad4,dzen—-¿--- ¿(a'_1)'[—¿_¿,{A.'+A.” + ¿t (B,' + B.'s)} +... | |
| |
