· MATHEMATICAL METHODS: Fourier series, Fourier transform, Integral theorem, Bessel functions, Spherical Bessel functions, Legendre functions, Stationary phase.
· RESPONSE OF DYNAMIC SYSTEMS: Time harmonic response, Transient response, Time harmonic power flow.
· ACOUSTIC EQUATIONS: Fundamental equations in acoustics, Euler's and Helmholtz equations, Plane wave solutions, Green’s functions in Cartesian coordinates, Green’s functions in cylindrical coordinates, Green’s functions in spherical coordinates, Arbitrary source distribution, Helmholtz integral equation.
· SCATTERING FROM HARD AND SOFT STRUCTURES: Planar surface, Spherical surface, Cylindrical surface, Axisymmetric slender body.
· ELASTICS CONSTITUTIVE EQUATIONS: Strain and stress, Fluid constants, Elastic constants, Anisotropic solids, Thin layered composite.
· ACOUSTICS OF SPHERICAL SHELL: Equations of motion, Mechanical excitation, Acoustical excitation, Directivity.
· ACOUSTICS OF THIN PLATE: Equations of motion, Mechanical excitation, Monopole excitation, Plane wave excitation, Transient sound radiation, Directivity.
· ACOUSTICS OF CYLINDRICAL SHELL: Equations of isotropic shell, Equations of anisotropic shell, Mechanical excitation, Monopole excitation, Plane wave excitation, Periodic Rib Stiffening, Directivity.
· SPHERICAL LAYERED MEDIA: Mechanical excitation, Acoustical excitation.
· PLANAR LAYERED MEDIA: Orthotropic elastic layer, Mechanical excitation, Monopole excitation, Plane wave excitation, Transient sound radiation.
CYLINDRICAL LAYERED MEDIA: Orthotropic elastic layer, Mechanical excitation, Monopole excitation, Plane wave excitation.
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