4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub- jected to a vibrating base. For some applications, such as an automotive suspension, the magnitude of the response is not the critical factor, but rather the net force to which the mass is subjected. 1. Determine an expression for the force to which the mass illustrated in Figure 4.18 is subjected. 2. Manipulate the expression for the force so that it is in the form of f=−khMƒcos(wt+p). Explain the interpretation of the term Mƒ, which is called the force transmissi- bility. Plot Mf as a function of w/wn for various damping ratios to make a plot similar to Figure 4.20.

Elements Of Electromagnetics
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4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub- jected to a vibrating base. For some applications, such as an automotive suspension, the magnitude of the response is not the critical factor, but rather the net force to which the mass is subjected. 1. Determine an expression for the force to which the mass illustrated in Figure 4.18 is subjected. 2. Manipulate the expression for the force so that it is in the form of f =−khMfcos(ωt+φ). Explain the interpretation of the term Mf , which is called the force transmissi- bility. Plot Mf as a function of ω/ωn for various damping ratios to make a plot similar to Figure 4.20.
x(t)
V
b
m
wwww
k
▲ y(t)
2
h
Transcribed Image Text:x(t) V b m wwww k ▲ y(t) 2 h
4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub-
jected to a vibrating base. For some applications, such as an automotive suspension,
the magnitude of the response is not the critical factor, but rather the net force to
which the mass is subjected.
1. Determine an expression for the force to which the mass illustrated in Figure 4.18
is subjected.
2. Manipulate the expression for the force so that it is in the form of
f = -khMfcos(wt+p).
Explain the interpretation of the term Mf, which is called the force transmissi-
bility. Plot Mƒ as a function of w/wn for various damping ratios to make a plot
similar to Figure 4.20.
Transcribed Image Text:4.12. Figure 4.20 plots the magnitude of the steady-state oscillation of a mass sub- jected to a vibrating base. For some applications, such as an automotive suspension, the magnitude of the response is not the critical factor, but rather the net force to which the mass is subjected. 1. Determine an expression for the force to which the mass illustrated in Figure 4.18 is subjected. 2. Manipulate the expression for the force so that it is in the form of f = -khMfcos(wt+p). Explain the interpretation of the term Mf, which is called the force transmissi- bility. Plot Mƒ as a function of w/wn for various damping ratios to make a plot similar to Figure 4.20.
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