1
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Sample Wave Problems
- Transverse Vibration of a Taut String
- Longitudinal Vibration of an Elastic Rod
- Traffic Flow on a Freeway
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Problem set 1 out
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2
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Sample Wave Problems (cont.)
- Wave Propagation in Arteries
- Shallow Water Waves and Linearization
- Sound in Fluids
- Flexural Waves in a Beam on an Elastic Foundation
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Problem set 1 due
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3
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One Dimensional Waves
- General Solution to Wave Equation
- Branching of Arteries
- Waves in an Infinite Domain due to Initial Disturbances
- Reflection from the Fixed End of a String
- Forced Waves in an Infinite Domain
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Problem set 2 out
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4
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One Dimensional Waves (cont.)
- String Embedded in an Elastic Surrounding
- Dispersion from a Localized Initial Disturbance
- Scattering of Sinusoidal Waves
- General Identities in Scattering by Arbitrary in Homogeneities
- Refraction in a Slowly Varying Medium
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Problem set 2 due
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5
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Two Dimensional Waves
- Reflection and Transmission of Sound at an Interface
- Equations for Elastic Waves
- Free Waves in Infinite Space
- Elastic Waves in a Plane
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Problem set 3 out
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6
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Two Dimensional Waves (cont.)
- Reflection of Elastic Waves from a Plane Boundary
- Scattering of Monochromatic SH Waves
- Diffraction of SH Wave by a Long Crack
- Rayleigh Surface Waves
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Problem set 3 due
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7
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Two Dimensional Waves (cont.)
- Elastic Waves due to a Load Traveling on the Ground Surface
- Partial Wave Expansion
- Approximate Evaluation of an Integral
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Mid-term quiz out
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8
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Waves in Water
- Governing Equations for Waves on the Sea Surface
- Progressive Waves on a Sea of Constant Depth
- Wave Resistance of a Two-dimensional Obstacle
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Mid-term quiz due
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9
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Waves in Water (cont.)
- Narrow-banded Dispersive Waves in General
- Radiation of Surface Waves Forced by an Oscillating Pressure
- The Kelvin Pattern of Ship Wave
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Problem set 4 out
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10
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Waves in Water (cont.)
- Basic Theory for Two-dimensional Internal Waves in a Stratified Fluid
- Internal Waves Modes for Finite N
- Internal Waves in a Vertically Unbounded Fluid
- Reflection of Internal Waves at Boundary
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Problem set 4 due
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11
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Wave Localization
- Wave Localization in a Random Medium
- References
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Problem set 5 out
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12
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Forced Dispersive Waves Along a Narrow Channel
- Free Wave Propagation Along a Narrow Waveguide
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Problem set 5 due
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13
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Forced Dispersive Waves Along a Narrow Channel (cont.)
- Forced Wave Propagation Along a Narrow Waveguide
- Initial Boundary Value Problem
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Final quiz out
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14
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Internal Waves in a Stratified Fluid
- Introduction
- Governing Equations for Incompressible Density-stratified Fluid
- The Buoyancy Frequency (Brunt-Vaisala Frequency)
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Final quiz due
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15
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Internal Waves in a Stratified Fluid (cont.)
- Internal Gravity Waves in Unbounded Stratified Fluid
- Waveguide Behavior
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