Record. 



XXXlll 



3u u 97V 

 where A = ^;; — |- — h ^=^5 and the problem consists in inte- 



grating the differential equations 



(2 



9 1 9 11^ u,\ 9hi. 



9'^w 



9r9z 







ii' 9 I 9w\ 9'^w 





where the function 

 (3) 



u, = u 



pco^ 



8(2/x + X) 



».3 



has been introduced in place of w. At the same time the 

 following surface conditions must be satisfied : 



I. Full disc (0 <r^B). 



rr = for r = JR, 



zz = for z = zh h, 



rz =0 for r =R and for z = d:h. 



II. Perforated disc (H^ <Cr<C Jin) . 



rr ^= for r = H^ and for r = li^, 



zz = for z = zt:h, 



rz ^=0 for 7' = i?j, for r = R^, and for z 



= =tA. 



It can be shown that the following- formulas 



(4) ,0 = 2 



k 



2(2/. +\) 



2 





P*^_e-^*^) 



k L. 



(e^*^-^-'^*") 



