Lecture 7 Notes

7 undamped mass spring mx kx 0 mr 0 k k r i m 2 xt

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Unformatted text preview: exponential decay in the solutions. • Dashpot - mechanical element that adds friction. - sometimes an abstraction that accounts for energy loss. Kelvin-Voigt model shock absorber Applications - vibrations (3.7) • So far, no x’ term so no exponential decay in the solutions. • Dashpot - mechanical element that adds friction. - sometimes an abstraction that accounts for energy loss. Kelvin-Voigt model shock absorber Applications - forced vibrations (3.8) Applications - forced vibrations (3.8) • light hitting a molecular bond Applications - forced vibrations (3.8) • light hitting a molecular bond • earthquake hitting a building Applications - forced vibrations (3.8) • light hitting a molecular bond • earthquake hitting a building • pressure waves (sound) hitting a turning fork. Applications - vibrations (3.7) • Undamped mass spring mx + kx = 0 ￿￿ Applications - vibrations (3.7) • Undamped mass spring mx + kx = 0 ￿￿ mr + k = 0 2 Applications - vibrations (3.7) • Undamped mass spring mx + kx = 0 ￿￿ mr +￿ = 0 k k r=± i m 2 Applicati...
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