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Engineering Acoustics by Abigail Bean
Engineering Acoustics by Abigail Bean
Date: 21 April 2011, 10:39

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Table of Contents
1. Lumped Acoustical Systems
2. One-Dimensional Wave Motion
3. Non-Linear Waves
4. Applications
.............................................Forced Oscillations (Simple Spring-
Mass System)
In the previous section, we discussed how adding a damping component (e.
g. a dashpot) to an unforced, simple spring-mass system would affect the
response of the system. In particular, we learned that adding the dashpot to
the system changed the natural frequency of the system from to a new
damped natural frequency , and how this change made the response of the
system change from a constant sinusoidal response to an exponentiallydecaying
sinusoid in which the system either had an under-damped, overdamped,
or critically-damped response.
In this section, we will digress a bit by going back to the simple (undamped)
oscillator system of the previous section, but this time, a constant force will
be applied to this system, and we will investigate this system’s performance
at low and high frequencies as well as at resonance. In particular, this
section will start by introducing the characteristics of the spring and mass
elements of a spring-mass system, introduce electrical analogs for both the
spring and mass elements, learn how these elements combine to form the
mechanical impedance system, and reveal how the impedance can describe
the mechanical system’s overall response characteristics........

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