RELAY AHMATUllE REHOUXD AXALYiilS 1 <JU 



After 11 heel impacts y-i = Pn(\ + k)k'' and from Equations (19) 

 and (23) 



^-^^ = 1 - (1 - MrMl - k') - ]\h,(l - il/i2)(l + /v)'(l - /r") 



-10 



= ijl - 2Mnil + k)k"y, + M,,(l + kfk'" 



This may be solved for f/i = k — Mi2{l + k)(l — A;") and after the 

 front impact immediately following: 



^2 = Pio(l + k)k" - I\Al + k)[k - .!/,,(! + A:)(l - k")] 



The maximum front excursion now possible is that for a complete 

 series of heel impacts. The above value for y2 in Equation (24) yields 



2CYi = 1 - (1 - Mn)il - /oil + [k - .1/12(1 + A:)(l - A;")]'} 



- ilfi2(l - Mi2)(l + kf |l - A;'" (33) 



+ [k - k" - Mi2(l + A;)(l - A;")]^} 



Appendix IV 



SUMMARY OF NOTATION 



A = Cn -\- C12 + C12/ 

 B = C12 = C22 + Ci-zf 



Cn = C21 = [1 - rif2] 



Cl3 = C31 = flfs 

 C23 = C32 —12^2 



Fi = front tensioning force 



F2 = heel tensioning force 



A'l = coefficient of restitution at vertical front stop 



A'2 = coefficient of restitution at vertical heel stop 



