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Example 1.3

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The impulse response of a dynamic system is its output in response to a brief input pulse signal, called an impulse. The impulse response of the damped vibration of a one‐degree‐of‐freedom mass‐spring system of mass M, stiffness K, and coefficient of damping R (see Chapter 2 of this book) is given by


where A = (d)−1, α = R/2 M and λ = ωd is known as the damped “natural” angular frequency. Find the Fourier spectrum representation of this impulse response.

Engineering Acoustics

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