12.2 Description in the Time Domain

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Three parameters are necessary to describe a shock in the time domain: its amplitude, its duration, t; and

its form.

The physical parameter expressed in terms of time is generally an acceleration, x€ðtÞ, but can be also a

velocity, vðtÞ; a displacement, xðtÞ, or a force, FðtÞ:

In the first case, which we will consider in particular in this chapter, the velocity change corresponding

to the shock movement is equal to (Table 12.1)

DV ¼

ðt

0

x€ðtÞdt ð12:1Þ

150

100

50

−50

−100

−150

0

0 2 4 6 8 10 12 14

Time (ms)

Acceleration (m/s2)

FIGURE 12.1 Example of a shock. (Source: Lalanne,

Chocs Mecaniques, Hermes Science Publications. With

permission.)

Mechanical Shock 12-3

© 2005 by Taylor & Francis Group, LLC

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