y Yield strength of shell material 



m Number of half waves in longitudinal direction of 



buckled cylinder 



u(x,e);v(x,e);w(x,e) Additional displacements in axial, circumferential, 



and radial directions, respectively, for asymmetric 

 buckling 



S r R6 Circumferential coordinate along periphery of cylinder 



n Number of full waves in circumferential direction of 



buckled cylinder 



L^ Overall length of stiffened cylindrical shell 



If Moment of inertia of ring frame cross section 



Ixo Moment of inertia about longitudinal axis through 



centroid of ring frame 



^zo Moment of inertia about radial axis through centroid 



of ring frame 



