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Wave Phenomena

Wave Phenomena. Resonance. Resonance. Resonance - Maximum increase in amplitude as a result of interference between a wave and its reflections standing waves result can also occur when two identical waves pass through each other in opposite directions

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Wave Phenomena

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  1. Wave Phenomena Resonance

  2. Resonance Resonance- Maximum increase in amplitude as a result of interference between a wave and its reflections • standing waves result • can also occur when two identical waves pass through each other in opposite directions Fundamental Frequency – natural frequency of the wave which depends on the conditions under which the wave is produced (distance between boundaries, material, etc) • Longest wavelength and shortest frequency standing wave possible for the conditions Harmonics – series of standing waves that forms between boundaries

  3. End Conditions Fixed end – end that cannot move (node) Open end – end that can move (antinode)

  4. Fixed Ends 1st harmonic = fundamental frequency (½λ) nth harmonic = each consecutive ½λ standing wave that exists between the same boundaries Standing Waves, Medium Fixed At Both Ends

  5. Open Ends 1st harmonic = fundamental frequency (½λ) nth harmonic = each consecutive ½λ standing wave that exists between the same boundaries Standing Waves, Medium Open At Both Ends Fundamental 1 node, 2 antinodes 2nd harmonic 2 nodes, 3 antinodes 3rd harmonic 3 nodes, 4 antinodes

  6. One Fixed End, One Open End 1st harmonic = fundamental frequency (1/4 λ) nth harmonic = each consecutive ½λ standing wave that exists between the same boundaries Standing wave: One open end, one fixed end Fundamental 1 node, 1 antinodes 3rdharmonic 2 nodes, 2 antinodes 5thharmonic 3 nodes, 3 antinodes

  7. Tacoma Narrows Bridge Collapse "Gallopin' Gertie"

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