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BELL SYSTEM TECHNICAL JOURNAL 



0.5 and for several values of kb/ko . The peak values of the curves are the 

 same as given by equation (1.12.3). The curve marked kb/ko = 1 is the 

 sinusoid of the linear case with duration 



X2 



Gog 



TT 

 To = — . 

 COo 



(2.10.14) 



.5 



1.0 



1.5 



2.0 



3.0 



Fig. 2.10.1 — Acceleration-time curves for cushioning with bi-Unear elasticity. 

 d,/do = 0.5. See equations (2.10.11) and (2.10.12). 



As before, if the package does not rebound, the acceleration shown is mir- 

 rored in the time a.xis after each half cycle, to form a vibration of period 2x2 • 



It is useful to know the duration of the complete pulse {aa' in Fig. 2.10.1) 

 and also the duration of bottoming {bb' in Fig. 2.10.1). Calling the former 

 T2 and the latter tb , we have, from equations (2.10.11) and (2.10.12) 



