TRANSIENTS IN MECHANICAL SYSTEMS 683 



Displacement mass x, x{t) 



Displacement base .n, Xi(t) 



Force on base F, F(l) 



Velocity of base v 



Acceleration of base (h , Xi 



Acceleration of mass m x, x{i), g{t) 



Maximum acceleration of the mass m Aq 



An 



Maximum acceleration ratio Xo = - 



Acceleration ratio X = ^^ 



Natural frequency of mass m (circular) co, )3o 



Circular (angular) displacement wt = do 



Frequency of sinusiode of which pulse consists (not pulse frequency) coo 



Peak pulse displacement a 



Pulse period (triangular) 2b] 



(sme pulse) — j ^ 



coo y 1 



(shifted cosine pulse) — 



COo 



Period of mass m T 



displacement during pulse period _ ^ _ * 



peak pulse am.plitude a 



amplitude steady state _ 



8a 



= T 



peak pulse amplitude 

 max. ampUtude steady state _ 

 peak pulse amplitude 

 elapsed time _ t t/ir t/lw t 



pulse length (interval) ' ' 26 ' coo ' ojo 'To 



pulse length (interval) To _ 



; • (p 



natural period of system T 

 Damping coefficient I, a 



Critical damping ratio — =»? 



Transform of x{t) = X{s) 



" xid) = X,(s) 



" F{i) = Fo(s) 



"/(O = ^ Fis) 



f(t) represents any function of /, without reference to its dimensional 

 magnitude. 



