lect_2_9 - ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS...

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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 13.811 Advanced Structural Dynamics and Acoustics
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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 The Acoustic Equation of Motion Perturbation 1D equation of motion Other Coordinates Equation of Motion
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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 The Acoustic Wave Equation Conservation of Mass Equation of Motion Constitutive Equation Speed of Sound Linearly Elastic Fluid Pressure Wave Equation Particle Velocity Wave Equation
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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Potential Wave Equations Pressure Wave Equation Particle Velocity Wave Equation Wavefield Potentials Velocity Potential Displacement Potential ρ constant
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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Solution of the Wave Equations
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ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Helmholtz Equation Frequency-Time Fourier Transform Solution of Helmholtz Equation
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Unformatted text preview: ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Helmholtz Equation Homogeneous Media R z x y V S k = (k ,k ,k ) | k | = k = /c x y z Wavefronts k Wavevector k r = const Wavevector k determines propagation direction of plane waves Plane Waves Laplacian in Cartesian Coordinates Helmholts Equation ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Helmholtz Equation Homogeneous Media R z x y V S ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Radiation of Sound The Point Source Unbounded Homogeneous Medium U(t) r a Simple Point Source ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Greens Function ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Greens Theorem z x y V S r f(r) ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS 13.811 Lecture 2 Source in Infinite Medium Radiation Condition...
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This note was uploaded on 02/24/2012 for the course MECHANICAL 2.067 taught by Professor Davidbattle during the Spring '04 term at MIT.

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lect_2_9 - ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS...

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