506 



- 22 



It will be noted that each is the priauct of an x and y factor and there is assumed to be no 

 essential difference between the x and y direction. We shall further assume that the load and 

 therefore tfie resulting displacements are symmetrical so that: 



F (5), F (i) are even functions of ~ 

 1 -1 3 a ^ 



F, (-) is an odJ fjncticn of 2 

 2 a a 



(113) 



Also from (7) and (llO) we choose: 

 (1 



h 



F^ (r) ar = i 



(lu) 



so that W is identifioJ with the mean Jeflection an3 similarly withcut less of generality we may 

 talte: 



F^ (-1) - - F^d) = 1 



F^(r) dt = 1 



(115) 



which implies that U and V are identified with the mean pull-in along the two pairs of opposite edges. 

 Substituting In (9) and (l3) from (lio), (ill) and (ll2), we then find after simplification: 



^1^ 



= 1 = ''■^ 



A^ = uab K^' 



82=0^= uab Kj K^ 



(116) 



where: 



[ Fi(r) ] dr 



[ F'^(r) ] dr 



[ Fjtr) 



[ F^(r) ] dr 



(117) 



From (26) and (116) we then obtain: 



-, = iiLil 



^ K K 



(118) 



