Acoustics, Vibration, and Waves

  1. Fundamentals of Mechanical Waves
    1. Introduction to Waves
      1. Definition of a Wave
        1. Distinction Between Waves and Oscillations
          1. Energy and Momentum Transport by Waves
            1. Wave vs. Particle Motion
              1. Types of Mechanical Waves
                1. Transverse Waves
                  1. Particle Motion Perpendicular to Propagation
                    1. Polarization
                    2. Longitudinal Waves
                      1. Particle Motion Parallel to Propagation
                        1. Compression and Rarefaction
                        2. Torsional Waves
                          1. Rotational Motion in Medium
                          2. Surface Waves
                            1. Water Waves
                              1. Seismic Surface Waves
                          3. Mathematical Description of Waves
                            1. The Wave Function
                              1. General Form of a Traveling Wave
                                1. Sinusoidal Waves
                                  1. Wave Packets
                                  2. Wave Parameters
                                    1. Wavelength
                                      1. Wave Number
                                        1. Angular Frequency
                                          1. Period
                                            1. Amplitude
                                            2. Phase and Phase Velocity
                                              1. Definition of Phase
                                                1. Phase Difference
                                                  1. Phase Velocity Calculation
                                                    1. Group Velocity
                                                    2. The One-Dimensional Wave Equation
                                                      1. Derivation from Newton's Laws
                                                        1. Physical Meaning
                                                          1. General Solutions
                                                            1. D'Alembert's Solution
                                                          2. Wave Speed
                                                            1. Dependence on Medium Properties
                                                              1. Tension and Mass Density
                                                                1. Bulk Modulus and Density
                                                                  1. Young's Modulus and Density
                                                                    1. Shear Modulus Effects
                                                                    2. Wave Speed in Different Media
                                                                      1. Strings and Cables
                                                                        1. Fluids
                                                                          1. Solids
                                                                            1. Gases
                                                                            2. Dispersion
                                                                              1. Dispersive vs. Non-dispersive Media
                                                                                1. Phase Velocity vs. Group Velocity
                                                                              2. Superposition and Interference
                                                                                1. The Principle of Superposition
                                                                                  1. Linear Superposition
                                                                                    1. Constructive Interference
                                                                                      1. Destructive Interference
                                                                                        1. Partial Interference
                                                                                          1. Phasor Representation
                                                                                            1. Complex Representation of Waves
                                                                                              1. Addition of Phasors
                                                                                                1. Rotating Phasors
                                                                                                2. Beats
                                                                                                  1. Beat Frequency
                                                                                                    1. Beat Envelope
                                                                                                  2. Standing Waves
                                                                                                    1. Formation from Superposition
                                                                                                      1. Nodes and Antinodes
                                                                                                        1. Standing Wave Patterns
                                                                                                          1. Harmonics and Overtones
                                                                                                            1. Fundamental Frequency
                                                                                                              1. Higher Harmonics
                                                                                                                1. Harmonic Series
                                                                                                                2. Resonance in Bounded Media
                                                                                                                  1. Boundary Conditions for Standing Waves
                                                                                                                    1. Fixed Boundaries
                                                                                                                      1. Free Boundaries
                                                                                                                        1. Mixed Boundaries
                                                                                                                        2. Standing Waves in Strings
                                                                                                                          1. Standing Waves in Air Columns
                                                                                                                            1. Open Tubes
                                                                                                                              1. Closed Tubes
                                                                                                                                1. Partially Closed Tubes

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                                                                                                                            1. Fundamentals of Vibration and Oscillation

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                                                                                                                            3. Wave Propagation and Behavior