13.811Advanced Structural Dynamics and AcousticsADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 213.811Advanced Structural Dynamics and AcousticsLectures: MW 2.30-4.00, Rm. 5-233Instructor: Prof. Henrik Schmidt, Rm. 5-226. E-mail: [email protected]. David Battle, Rm. 5-207E-mail: [email protected]: Mr. Hwee Min Charles Low, Rm 5-007E-mail: [email protected] hours: Thursday 4-5Textbook: Fourier AcousticsE.G. WilliamsAcademic Press, 1999.ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Dat e Lect ur er Lect ur e Topi c Chap. Hmwk. Due29- Mar I nt r oduct i on. Over vi ew of Ocean Acoust i cs 2. 1- 2. 3Schmi dt 31- Mar Acoust i c wave equat i on. Pl ane waves. 2. 4- 2. 6Schmi dt Wavenumber r epr esent at i on. 5- Apr Radi at i on f r om i nf i ni t e pl at e. 2- d wavenumber 2. 7- 2. 8Schmi dt space. Spher i cal waves f r om poi nt sour ce. 7- Apr Di r ect i vi t y f unct i on. Radi at i on f r om baf f l ed 2. 11. 1- 2. 11. 5Schmidt rectangular piston. 12- Apr Radi at i on f r om pl anar sour ces. 2. 11. 6, 2. 12- 2. 13Schmi dt14- Apr Radi at i on f r om el ast i c pl at es 2. 14- 2. 15 #1Schmi dt19-Apr No cl assesn/ a21- Apr Qui z26- Apr Spher i cal waves. Spher i cal har moni cs. 6. 1- 6. 4Battle28- Apr Spher i cal mul t i pol e r adi at i on 6. 5- 6. 6 #2Battle 3- May Scattering from Spheres 6.1Battle5- May Cyl i ndr i cal waves 4. 1- 4. 3 #3Battle10- May Hel i cal waves 4. 4Battle12- May Radi at i on fr om cyl i nder s 4. 5- 4. 7 #4BattleText: E.G. Williams, Fourier Acoustics. Academic Press, 1999Backgroud reading: Section 1.Spri ng 2004 Cl ass Schedul e13. 811ADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2The Acoustic Equation of MotionPerturbation1D equation of motionOther CoordinatesEquation of MotionADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2The Acoustic Wave EquationConservation of MassEquation of MotionConstitutive EquationSpeed of SoundLinearly Elastic FluidPressure Wave EquationParticle Velocity Wave EquationADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Potential Wave EquationsPressure Wave EquationParticle Velocity Wave EquationWavefield PotentialsVelocity PotentialDisplacement PotentialρconstantADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Solution of the Wave EquationsADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Helmholtz EquationFrequency-Time Fourier Transform Solution of Helmholtz EquationADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Helmholtz EquationHomogeneous Mediak = (k ,k ,k )|k| = k =ω/cxyzWavefrontskWavevectork r = constWavevector k determines propagation direction of plane wavesPlane WavesLaplacian in Cartesian CoordinatesHelmholts EquationADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Helmholtz EquationHomogeneous MediaADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Radiation of SoundThe Point SourceUnbounded Homogeneous Medium Simple Point SourceADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Green’s FunctionADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Green’s TheoremADVANCED STRUCTURAL DYNAMICS AND ACOUSTICS13.811Lecture 2Source in Infinite MediumRadiation
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