RELAY AHMATIKK REBOUND ANALYSIS 



173 



magnetic characteristics. Analysis in this paper will be directed towards 

 relay armature systems, but it is also applicable to rebound in similar 

 mechanisms. 



II. STATEMENT OF PROBLEM 



Analysis will be restricted to planar motion of armature systems 

 having one, two, and three degrees of freedom as depicted in Figs. 1, 

 2, and 3. Generally one stop must be provided for each degree of free- 

 tlom, although in the three-degree-of-freedom system of Fig. 3, two of 

 the stops have been combined. 



Applied forces Fi, Fi , Fz , have been chosen so as to be most easily 

 correlated with actual relay designs. 



The initial condition in all cases will be a pure rotation about the 

 "heel" just prior to a "zero" impact at the "front" of the armature. 

 The "zero" impact will be followed by rebound motion and impacts at 

 the various stops eventually bringing the armature to rest. The object 



FRONT STOPV 



FRONT STOP 



Fig. 1 — Solidly hinged armature — 

 one degree of freedom. 



Fig. 2 — Loosely hinged armature — 

 two degrees of freedom. 



^CORE AND RETURN 

 PATH STRUCTURE 



[a) 



} 



CENTER OF 



GRAVITY 



OF ARMATURE 



(b) 



Fig. 3— Armature system — three degrees of freedom. 



