Lecture 17
The following topics are covered in this lecture
•
A damped sinusoid
•
Special cases of damped sinusoid
•
Example with damped sinusoidal input
•
Comparison with sinusoidal excitation
•
RLC circuit representation for damped sinusoidal
excitation
A Damped Sinusoid
Consider the damped sinusoid function
( )
cos(
)
t
m
v t
V e
t
σ
ω
θ
=
+
(19-1)
Plot of the function is given in the following figure
t
m
V e
σ
m
V
θ
v
t
Figure 19-1. A damped Sinusoid Function
In the figure above,
V
m
is the peak value of the damped sinusoid,
ω
is
the angular frequency (radian) of oscillation,
θ
is the shift (leading) of

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