| 1 |
Sample Physical Origins of Wave Motion
Taut String
Elastic Rod
Blood Flow in Arteries
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Problem set 1 out |
| 2 |
Sample Physical Origins of Wave Motion (cont.)
Sound in a Pipe
Beam on an Elastic Foundation
Traffic Flow on a Freeway
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Problem set 1 due |
| 3 |
Sample Physical Origins of Wave Motion - Visit to the Nondestructive Evaluation Laboratory
Long Waves in Shallow Seas, Linearization
One Dimensional Propagation
General Solution, Branching of Arteries, Impedance
Waves in an Infinite Domain, D'Alembert's Theory
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Problem set 2 out |
| 4 |
One Dimensional Propagation
Characteristics
Semi-infinite Domain and Reflection
Forced Waves in an Infinite Domain
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Problem set 2 due |
| 5 |
One Dimensional Propagation (cont.)
String in an Elastic Surrounding, Dispersion
Group Velocity and Energy Transport
Transient Dispersion, Method of Stationary Phase
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Problem set 3 out |
| 6 |
One Dimensional Propagation (cont.)
Method of Stationary Phase
Scattering and Radiation of Harmonic Waves, Weak Scattering
Strong Scattering of Long Water Waves by Depth Discontinuity
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Problem set 3 due |
| 7 |
One Dimensional Propagation (cont.)
Radiation Condition, Green's Function
General Identities, Green Theorem
Reflection in a Slowly Varying Medium, WKB Approximation
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Mid-term exam out |
| 8 |
Two Dimensional Propagation
Reflection and Transmission of Plane Waves at an Interface
Angle of Incidence, Reflection Coefficient in the Complex Wave
Elastic Wave in Solid, Governing Equations
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Mid-term exam due |
| 9 |
Two Dimensional Propagation (cont.)
Free Waves in Infinite Space, Plane Elastic Waves
Reflection of Elastic Waves from a Plane Boundary
P and SV Waves
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Problem set 4 out |
| 10 |
Two Dimensional Propagation (cont.)
SH Waves
Scattering of SH Waves
The Optical Theorem on Scattering
Scattering of SH Waves by a Circular Cavity
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Problem set 4 due |
| 11 |
Two Dimensional Propagation (cont.)
Diffraction of SH Waves by a Line Crack - Parabolic Approximation
Rayleigh Surface Waves in a Half Space
Elastics Waves due to a Line Load Traveling on The Ground Surface
Supersonic, Transonic, and Subsonic
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Problem set 5 out |
| 12 |
Waves in the Sea
Linearized Equations
Progressive Waves in Sea of Constant Depth. Dispersion and Flow Field. Particle Orbit and Energy Transport
Wave Resistance of a Two Dimensional Obstacle
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Problem set 5 due |
| 13 |
Waves in the Sea (cont.)
Narrow Banded Dispersive Waves. The Schrodinger Equation for the Wave Envelope
Radiation of Surface Waves Forced by an Oscillating Line Pressure on the Surface
Kelvin Ship Waves
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Final exam out |
| 14 |
Waves in the Sea (cont.)
Internal Waves in a Stratified Fluid. Dispersion Relation
Internal Waves in an Unbounded Fluid, St. Andrew's Cross
Dispersive Waves in Random Media
Localization by Disorder
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Final exam due |
| 15 |
If time permits and if there is class interest:
Waves Through Laminated Media
Effective Equation for Thin Laminates
Effective Equation for Thick Laminates
or
Nonlinear Waves
Traffic Waves. Green and Red Lights
Shocks and Traffic Jam
Bores and Hydraulic Jumps
Bore from the Breaking of a Dam
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