10 notes- Dynamic Systems- masses and springs.pptx

Dynamical systems mass spring systems how do we hear

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Dynamical Systems Mass Spring Systems How do we hear? Every vibrating object has its own preferred frequency depends on its mass and stiffness
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Dynamical Systems Basilar Membrane: mass + elasticity Different frequencies because membrane has different stiffnesses high k very stiff low k very loose
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Dynamical Systems Mass Spring Systems What are we hearing? Air mass + elasticity Vocal Cord Vibration mass + elasticity
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Dynamical Systems Mass Spring Systems Mass: keeps going Spring/Elasticity: returns to original position higher frequency if mass decreases or k increases Oscillation requires mass+spring Sound Hearing: Basilar Membrane Speaking: Vocal Cord Vibration Coarticulation mathematical modeling for movement towards goals in time
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