441 



APPENDIX A 



Definitions of the Operators Dj^i^ and B-[-\, and the 



Matrix Elements A^^p* and C^?^^ 

 ik 11 



For the convenience of the reader we repeat here the definitions 

 of the shell operators D., and the buckling operator B of OSRD 378o2/ 

 and the corresponding matrix elements A •. and C •, ■, , The symbols to be 

 used are defined as follows: 



Symbol Definition 



«-2 aVl2R^ 



^ TfR^/L 



*^ 1/(1-V) 



a Shell thickness 



R Mean radius of cylinder 



L Length of cylinder 



(r,6, z) Cylindrical coordinates with the origin at one end of 



the cylinder and 'rfith the _z-aXLs coincident with the 

 axis of the cylinder 



Poisson'3 ratio 



n,£. Defined by Eqs. (7) 



The definitions of Epstein shell operators D^j^ and the buckling 



operator By^are 



^i=--4 -T ^ -^• 





°i2 ae 



16 



