Abstract
The presence of structure-borne sound is a persistent problem in acoustics. Various noise control techniques, such as passive, active, or a combination of the two control techniques (hybrid), have been developed in different fields to reduce the noise. Among those techniques, the traditional passive noise reduction techniques are widely used in industries and commercial products. Passive control methods typically use absorptive materials or vibration absorbers to achieve noise reduction. They are proved to be very effective in the middle and high frequency ranges. However, in the low frequency range, passive noise control often makes noise elimination equipment very bulky and inefficient. For example, absorptive materials are not a practical means of attenuation at low frequencies because of the thickness requirement to absorb the large acoustic wavelengths. Similarly, damping materials typically are not effective in attenuating low-frequency vibrations and radiating sound. Thick and massive viscous materials are required, which again presents a practicality problem with implementing this traditional control technique to realistic applications. Efficient vibration and noise reduction approach in the low frequency range thus poses a challenging topic to noise control engineers.
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Problems
Problems
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P.1.1
Consider the three-mass–spring system shown in Fig. 1.1. If m 1 = 2 m 2 = m 3, k 1 = k 2 = k 3 = k 4 = 2 k 5 = 2 k 6, calculate the natural frequencies for this system.
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P.1.2
What is difference between active noise control (ANC) and active structural–acoustic control (ASAC)?
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P.1.3
What is the difference between feedforward and feedback controller? And when it is to be used?
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P.1.4
Assuming a rectangular thin plate with length L x , width L y , and thickness h, the velocity distribution of the plate is v(x, y), what is the volume velocity of this structure?
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P.1.5
Write a MATLAB function d = dsc(c) that takes a one-dimensional array of numbers c and returns an array d consisting of all numbers in the array c with all neighboring duplicated numbers being removed. For instance, if c = [0 4 5 5 1 1], then d = [0 4 5 1].
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P.1.6
Plot the graph of a sphere of radius r with center at (a, b, c) based on MATLAB function sphere.
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P.1.7
Write a MATLAB GUI program to display the graph in Problem 1.6. An example of interface of the GUI program is shown in Fig. 1.15.
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Mao, Q., Pietrzko, S. (2013). Introduction. In: Control of Noise and Structural Vibration. Springer, London. https://doi.org/10.1007/978-1-4471-5091-6_1
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DOI: https://doi.org/10.1007/978-1-4471-5091-6_1
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