525 



such as that of .G. I. Taylor-/ in Britain, and those led by 

 R. W. GoransonZ', by E. H. Kennardr/ and by J. G. KirkvoodZ' in the 

 United States. The work of the Kirkwood group has been connected 

 rather closely with that of the UERL suid, in addition to their general 

 calculations, they have made calculations which are specific for the 

 UERL damage gauge. 



Without going into the development of the Kirkwood CEilculations 

 which have already been reportedZ', it may be illustrative to cite the 

 result of some of their work made applicable to the UERL diaphragm 

 gauge. 



If the following assumptions, among others, are made: 



(1) that the diaphragm is affected only by the primary shock-wave 

 from an underwater explosion, 



(2) that "cavitation" does not occur in the water in front of the 

 diaphragm during the damage process, 



(3) that the profile of the plastically deformed diaphragm is 

 parabolic, then 



^ 103.^^ Pn. 9 /Ro \ /^ ^ 2R^^Yl/2 



( /> ^or'^ v ^° / \ ^ /" 



(1) 



206.8 /-oV/^ / iH^V/' , .1, 



In the above equations, 



Zqj is the final central deflection of the diaphragm 



a^ is the diaphragm thickness in inches 



Rq is the radius of the diaphragm, equal to 1.61»- in. 

 for this gauge. 



fl is the density of the diaphragm in gm/cm^ 



/^ is the density of the water in ga/car 



C^ is the yield stress of the diaphragm material in lbs/in. 



6/ G. I. Taylor, Sept. 1, 19^*2, S.W. 2k, 11-5-2799. 



7/ Lt.Cdr. R. W. Goranson, USHR, Axigust 19^3, Bureau of Ships, U.S. Navy, 



Underwater Explosion Report No. 19^-^. 

 8/ E. H. Kennard, March 19*^, Taylor Model Basin, U. S. Navy, Report 



No. 527. 

 9/ J. G. Kirkwood and J. M. Richardson, September 30, 1941+, OSRD ii200. 



