Fundamentals of Acoustics by Lawrence E. Kinsler, Austin R. Frey, Alan B. Coppens, James

By Lawrence E. Kinsler, Austin R. Frey, Alan B. Coppens, James V. Sanders

The vintage acoustics reference! This widely-used booklet bargains a transparent remedy of the basic rules underlying the new release, transmission, and reception of acoustic waves and their software to various fields. The authors examine some of the forms of vibration of reliable our bodies and the propagation of sound waves via fluid media.

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Extra resources for Fundamentals of Acoustics

Example text

13) for the resultant speed of an oscillator with mechanical impedance Zm. 2. Ji = 1 N·s is the impulse. (a) Obtain the speed and displacement of the struck end by the Fourier transform technique. 1). 3. 3). Note the role b plays in reducing the upper limit of the integration to zero. 3) by allowing b -> 0. Explain physically why this result is acceptable even though in the limit the integration becomes improper. 4. Ji = 1 N·s is the impulse. Find the displacement and speed of the mass using Fourier transforms.

Plotted below are resonance curves for the same oscillator obtained at (I) a fast sweep rate and (II) a slow sweep rate. The horizontal scale is 1 Hz/ division. Give a qualitative explanation why curve (IU differs so radically from the expected response. 1. A mass m is fastened to one end of a horizontal spring of stiffness s, and a horizontal driving force Fsinwt is applied to the other end of the spring. (a) Assuming no damping, determine the equation giving the motion of the driven end of the spring as a function of time.

4) it is evident that the average power will be one-half of its resonance value whenever Z~ = 2R~. 8). 8) The sharpness of the resonance of the driven oscillator is directly related to the length of time it takes for the free oscillator to decay to 1 I e of its initial amplitude. Furthermore, the number of oscillations taken for this decay is (wdlwo)Qhr or about Ql 1r for weak damping. Thus, if an oscillator has a Q of 100 and a natural frequency 1000 Hz, it will take (100 I 1r) cycles or 32 ms to decay to 1 I e of its initial amplitude.

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