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Understanding Acoustics

Understanding Acoustics: An Experimentalist’s View of Sound and Vibration

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Categories: Chemistry, Mathematics, Physics Tags: “Imperfect” Boundary Conditions, 7 Ideal Gas Laws, A 500-mL Boiling Flask, A Characteristic Speed, A Simple Pendulum, Abrupt Discontinuities and the Acoustic Admittance, Accuracy, Acoustic Energy Density and Intensity, Acoustic Levitation in Standing Waves, Acoustical Compliance, Acoustical Compliance and the Continuity Equation, Acoustical Inertance, Acoustical Mass, Adiabatic Compression Within a Bounded Volume, Adiabatic Equation of State for an Ideal Gas, Adiabatic Invariance, Adiabatic Invariance and the Levitation Force, Adiabatic Temperature Change, Adiabatic vs. Isothermal Propagation in an Ideal Gas, Algebraic Operations with Complex Numbers, An “Effective Length” Correction, An Algebraic Approximation for the Mass-Loaded String, An Almost Correct Expression for Viscous, An Efficient Driver/Load Interaction, An Impedance Matching Antireflective Layer, and Error Propagation, and Filters, and Hooke’s Law, and Microphones, and Refraction, Anisotropic (Crystalline) Elasticity, Anomalous Distortion, Anthropomorphic Frequency Weighting of Sound Levels, Attenuation, Attenuation due to Internal Relaxation Times, Attenuation from Thermoviscous Boundary Losses, Attenuation of Sound, Baffled Piston, Bar Sample Size and Preparation, Beam Steering and Shading, Beranek’s Box Driven by a Constant Volume Velocity, Best-Fit to Models with More Than Two Adjustable Parameters, Beyond the Linear Approximation, Bodine’s “Sonic Hammer”, Branches, Bubble Resonance, Buckling, Bulk Modulus, Bulk Thermoviscous Attenuation in Fluids, Cardioid (Unidirectional) Radiation Pattern, Caveat for Data Sets with Small N*, Circular Membranes, Classical Thermoviscous Attenuation, Closure with the Equation of State, Coil Springs, Comfort for the Computationally Crippled, Compact Monopole Acoustic Transfer Impedance, Compact Monopole Radiation Impedance, Complex Stiffnesses and Moduli, Consonance and Dissonance, Consonant Triads and Musical Scales, Constant Gradient’s Equivalence to Solid Body Rotation, Constant Sound Speed Gradients, Continuous Line Array, Convenience (Complex) Numbers, Coupled Equations for Identical Masses and Springs, Coupled Helmholtz Resonators, Coupled Oscillators, Creating planewave.out, Critical Damping, Critical Distance and the Schroeder Frequency, Cylindrical Waveguide, Damping and Free-Decay, Damping of Bubble Oscillations, Decibel Scales, DELTAEC Software, Density of Modes, Dimensionless Π-Groups, Dipole Radiation, Directionality and Directivity, Dispersion, Displacement-Driven Finite String, Displacement-Driven SHO and Transmissibility, Dissipative Hydrodynamics, Download DELTAEC, Driven Oscillators Level Repulsion and Beating, Driven Plane Wave Resonators, Driven Systems, Driven Waveguide, Duct Constriction/Expansion Low-Pass Filters, Effective Length Correction for Transducer Mass, Effective Modulus, Effective Piston Area for a Vibrating Membrane, Elasticity of Solids, Electret Condenser Microphone, Electroacoustic Transducer Sensitivities, Electrodynamic (Moving-Coil) Microphone, Electrodynamic Source Coupling Optimization, Emergency, Emergency care, Energy, Energy Loss in the Thermal Boundary Layer, Equilibrium, Equilibrium Stability and Hooke’s Law, Error Propagation and Covariance, Extensions, Finding the Resonance Frequencies of plane-wave.out, Flashback, Flatland, Flexural Standing Wave Frequencies, Flexural Standing Wave Mode Shapes, Flexural Wave Functions, Flexural Waves in Thin Bars, Flexure Springs, Force-Driven Finite String, Force-Driven SHO, Forced Motion of a Finite String, Forced Motion of a Semi-Infinite String, Free-Decay Frequency and Quality Factor, Frictional (Coulomb) Damping*, General Multipole Expansion, General Solutions for Two Masses and Three Springs, General Solutions to the Wave Equation, Geometrical Interpretation on the Argand Plane, Geometrical Resonance (Phase Matching), Getting Started with DELTAEC, Gravitational Offset, Harmonic Analysis, Harmonic Plane Waves and Characteristic Impedance, Health, Heavy Chain Pendulum (Nonuniform Tension), Helmholtz Resonator Network Analysis, Higher Harmonic Generation, Hooke Young Poisson and Fourier, Horns of Finite Length, Hospital, Hydrostatic Pressure, Idealized Boundary Conditions, In Situ Reciprocity Calibration, Incremental Plotting and the .ip File, Inertance and the Linearized Euler Equation, Initial Conditions, Initial Conditions and the Phasor, Integration and Differentiation of Complex Exponentials, Intermodulation Distortion and the Parametric End-Fire Array, Interpreting the .out File, Isotropic Elasticity, Junctions, Kinetic Theory of Thermal and Viscous Transport, Kramers-Kronig Relations, Least-Squares Fitting and Parameter Estimation, Levitation Superstability (“Acoustic Molasses”), Limits on Polarizing Voltages and Electrostatic Forces, Limp Diaphragm Separating Two Gases, Linear Correlation Coefficient, Linear Superposition, Linearized Continuity Equation, Linearized Least-Squares Fitting, Logarithmic Differentiation, Longitudinal Waves in Bulk Solids, Longitudinal Waves in Thin Bars, Loudspeaker-Driven Bass-Reflex Enclosure, Lumped Elements, Mass-Loaded String in the Impedance Model, Mean Free Path, Measured Resonance Spectra, Medical, Medicine, Membranes, Microscopic Models, Modal Degeneracy, Modal Degeneracy and Mode Splitting, Modal Energy, Modal Frequencies and Density for a Circular Membrane, Mode Characterization, Mode Excitation, Mode Similarities Illustrating, Mode-Selective Electrodynamic Excitation and Detection, Modes in Non-separable Coordinate Geometries, Modes of a Cylindrical Enclosure, Modes of a Rectangular Membrane, Modes of a Rigid-Walled Toroidal Enclosure, Modes of a Viscoelastic Bar, Modes of Bars, Modifying plane-wave.out to Create Flask500.out, Modulus of Unilateral Compression, Monatomic (Noble) Gases, Multiple Scattering in the “Effective Medium” Approximation, N-Element Discrete Line Array, Nature Is Efficient, Non-zero Time-Averaged Effects, Nondissipative Lumped Elements, Nonlinear Acoustics, Normal Error Function or the Gaussian Distribution, Normal Incidence, Normal Mode Frequencies of Tympani, Normal Modes and Normal Coordinates, Normal Modes and Standing Waves, Normal Modes of a Clamped Circular Plate, Normal Modes of Wedges and Annular Membranes, Not a Total Loss, Ohm’s Law and Electrical Resistivity, On-Axis Near-Field Pressure from a Circular Baffled Piston, One-Dimensional Propagation, Optimal Backplate Radius, Oscillations About Equilibrium, Other Initial Conditions, Phase Speed and Group Speed, Phasor Notation, Phasor Notation Algebraic Operations with Complex Numbers, Phenomenological Models, Plates, Point Mass Perturbation, Poiseuille Flow in a Pipe of Circular Cross-Section, Polyatomic Gases, Potentials and Forces, Power Dissipation the Decibel and Resonance Bandwidth, Power Flow and Dissipation in the 500 Ml Boiling Flask, Prandtl Number of an Ideal Gas and Binary Gas Mixtures, Precision, Precision Accuracy and Error Propagation, Pressure Field Within a Rigid Cylinder and Normal Modes. Modal Density Within a Rigid Cylinder, Pressure Gradient Microphones, Pressure-Driven Circular Membranes, Pressure-Released Spherical Resonator, Propagation Delay, Pulse Reflections at a Boundary and the Utility of Phantoms, Quality Factor in a Standing Wave Resonator, Quality Factors for a Helmholtz Resonator, Quantum Mechanical Manifestations in Classical Mechanics, Quasi-One-Dimensional Propagation (Horns), Radial Modes of Spherical Resonators, Radiation and Scattering, Radiation Impedance of a Baffled Circular Piston, Radiation Impedance of a Baffled Rectangular Piston, Radiation Impedance of an Unbaffled Piston, Radiation Pressure, Random Errors (Noise) and Relative Uncertainty, Rayleigh Resolution Criterion, Rayleigh Waves, Rayleigh’s Method, Real Springs, Reciprocity Calibration in Other Geometries, Rectangular Membranes, Rectangular Waveguide, References, Reflection, Relative Error in the Slope, Relaxation Attenuation in Fresh and Salt Water, Relaxation Attenuation in Gases and Gas Mixtures, Representation, Resistance, Resonance Frequency in Closed-Open Tubes, Resonance Tracking and the Phase-Locked Loop*, Resonant Determination of Elastic Moduli, Resonant Mode Conversion, Resonant Ultrasound Spectroscopy, Resonator-Transducer Interaction, Response of a Condenser Microphone, Rigid-Walled Rectangular Room, Rigid-Walled Spherical Resonator, Rubber Springs, Rubber-to-Glass Transition (Type I and Type II Rubbers), Running plane wave.out, Salmon Horns, Scattering from a Compact Compressibility Contrast, Scattering from a Compact Density Contrast, Scattering from a Single Bubble or a Swim Bladder, Semi-infinite Exponential Horns, Separation of Variables in Cartesian Coordinates, Series and Parallel Combinations of Several Springs, Series Solution to the Circular Wave Equation, Shear Modulus, Short and Very Short Wavelengths, Significant Figures, Similitude and the Buckingham Π-Theorem (Natural Units), Similitude Summary, Snell’s Law and Fermat’s Principle, So Much More Utility in DELTAEC, Solids as Springs, Sound Channels, Sound Focusing, Sound Radiation and the “Causality Sphere”, Specific Heats of Ideal Gases, Speed of Sound in Ideal Gases and Gas Mixtures, Speed of Sound in Liquids, Spherically Diverging Sound Waves, Stability, Stable Sawtooth Waveform Attenuation, Standard (SI) Units and Dimensional Homogeneity, Standard Linear Model (SLM) of Viscoelasticity, Standing Wave Modes for M/ms ¼ 5, Standing Waves in Rigidly Terminated Tubes, State Variable Plots (.sp), Statistical Energy Analysis, String of Pearls, String Theory, Stub Tuning, Superposition and Fourier Synthesis, Superposition of Sound Levels (Rule for Adding Decibels), Surf’s Up, Systematic Errors (Bias), Taylor Series, The “Mass Law” for Sound Transmission Through Walls, The (Nondissipative) Nonlinear Wave Equation, The Absence of Rigorous Mathematics, The Bass-Reflex Loudspeaker Enclosure, The Bernoulli Pressure, The Concept of Linearity, The Continuity Equation, The DIFAR Directional Sonobuoy, The Dispersion Relation (Phase Speed), The Electrodynamic Loudspeaker, The Entropy Equation, The Five Most Useful Math Techniques, The Fundamental Equations of Hydrodynamics, The Gas Spring, The Gol’dberg Number, The Grüneisen Parameter, The Helmholtz Resonance Frequency, The Linearized Euler Equation, The Loss of Time Reversal Invariance, The Lumped-Element Approximation, The Maxwell (Relaxation Time) Model, The Method of Images, The Navier-Stokes (Euler) Equation, The Not-So-Simple (?) Harmonic Oscillator, The Order Expansion, The Phenomenological Model, The Principle of Reciprocity, The Product Rule or Integration by Parts, The Quartz Crystal Microbalance, The Rayleigh Disk, The Rayleigh Reflection Coefficient, The Resistance-Loaded String, The RPN Segment, The Sabine Equation, The Second-Order Pressure in an Adiabatic Compression, The Simple Harmonic Oscillator, The Thermal Boundary Layer, The Time-Dependent Equation of State, The Transition from Lumped Elements to Waves in Fluids, The Undamped Harmonic Oscillator, The Venturi Tube, The Virial Expansion and B/2A, The Virial Theorem, The Viscous Boundary Layer, The Wave Equation, There Is More to Stiffness Than Just “K”, Thermal Conductivity and Newton’s Law of Cooling, Thermal Conductivity of an Ideal Gas, Thermal Equilibrium and Fluctuations, Thermophysical Properties, Three Media, Three Simple Examples, Three-Dimensional Enclosures, Time Averages of Complex Products (Power), Torsional Springs, Torsional Waves in Thin Bars, Total Internal Reflection, Total Modal Energy, Transient Response, Translational Oscillations of an Incompressible Sphere, Transmissibility of Rubberlike Vibration Isolators, Transmission, Transmission Loss, Triangularly Tapered Cantilever Spring, Trigonometric Expansion of the Earnshaw Solution, Tuned Band-Stop Filter, Two Identical Masses with Three Identical Springs, Two In-Phase Monopoles, Two Moduli Provide a Complete (Isotropic) Description, Two Out-Of-Phase Compact Sources (Dipoles), Two Ways of Knowing—Phenomenology andMicroscopics, Under Ice Propagation, Very Long Wavelengths, Vibration Sensors, Vibrations, Vibrations of a Stiff String, Vibrations of Thin Plates, Viscoelasticity, Viscosity, Viscosity of an Ideal Gas, Viscous Damping and Mechanical, Viscous Drag in the Neck of a Helmholtz Resonator, Waveguides, Waves in Fluids, Waves on a Flexible String, Weak Shock Theory and Harmonic Distortion, Windscreen Noise

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