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Chapter
Derivation of Acoustic Wave Equation
In the analysis of acoustics, sound waves are typically formulated as the additions of series of harmonic functions such as cosine and sine functions. Each harmonic function is a solution of an acoustic wave e...
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Chapter
Acoustic Intensity and Specific Acoustic Impedance
In the previous chapter, we constructed the sound pressures p(x, t) of both traveling waves and standing waves based on the acoustic wave equation. In this chapter, you will learn how to calculate flow velocity u
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Chapter
Acoustic Waves from Spherical Sources
In the previous chapter, formulas for sound pressure, flow velocity, acoustic intensity, and specific acoustic impedance were formulated in spherical coordinates. Note that in the previous chapter, the formula...
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Chapter
Acoustic Waveguides
In the previous chapter, resonance in rectangular cavities was formulated as standing waves as a result of the addition of a forward traveling wave (pre-reflection) and a backward traveling wave (post-reflecti...
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Chapter
Power Transmission in Pipelines
This chapter and the next chapter introduce both analytical and numerical methods for filter designs. This chapter will focus on develo** formulas of pressure and acoustic impedance in pipelines. These formu...
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Chapter
Complex Numbers for Harmonic Functions
Sound waves are typically described as simple harmonic motions. Simple harmonic motion can be extended to describe any motion (of the sound wave) by adding a series of simple harmonic motions such as a Fourier...
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Chapter
Solutions of Acoustic Wave Equation
In this chapter, you will learn how to construct both traveling waves and standing waves by solving the acoustic wave equation derived in the previous chapter. We will limit the scope of this chapter to only o...
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Chapter
Solutions of Spherical Wave Equation
In the previous chapter, formulas for sound pressure, flow velocity, acoustic intensity, and specific acoustic impedance of plane waves were formulated in Cartesian coordinates. In this chapter, formulas for t...
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Chapter
Resonant Cavities
In the previous chapters, when we calculated the sound pressure radiated from a vibrating surface, we only considered forward waves but not returning waves. This is because we have not considered any reflectin...
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Chapter
Room Acoustics and Acoustical Partitions
This chapter introduces room acoustics and acoustical partitions. Room acoustics studies the change of energy density at different locations due to the conditions of direct and reflected sound. Acoustical part...
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Chapter
Sound Pressure Levels and Octave Bands
In the field of noise control, noise is quantified by sound pressure level (SPL). SPL can be either unweighted or weighted. In this chapter, you will learn how to calculate both unweighted SPL and weighted SPL...
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Chapter
Filters and Resonators
In the previous chapter, we defined and derived formulas of complex amplitudes, acoustic impedance, and power transmission in the pipeline. In this chapter, we will extend the analysis of pipelines (pipes with...
