Maestrelto and Linden 



The result of applying the Fourier transform to Eq, (1) is 



BZ^^W- ppU)^W= f +P2 - Pi (15) 



where 



f = F + 6p 



The first term in (15) may be evaluated using Green's theorem; 

 thus , 



A W = K W + ® d rg ^ [e (A W + K W)J (16a) 



Now, for a plate clamped on its edge to a rigid, plane support, the 

 following boundary conditions hold. 



W = 8nW = 

 2 > on edge 



8 w __afw_ ^ Q 



8s^ 8n 8s^ 

 where s is in the direction of the edge, i.e. , the tangent. Thus, 



A^W = K*W + A[ W] (16b) 



where 



A[W]=J.T,(0-UK.^,§)e-^- 



If more general boundary conditions are to be considered (e.g. 

 elastic foundation) the above expression miust be replaced by the 

 right side of 16a. From the Eq. (7b) and the equation prior to Eq. 

 (12) it is found that 



;^ = 1P2£!^1.£M)! w(K ) (17) 



From Eq. (5b) it is found that 



490 



