ME5659_LecSuppl_DynSysReview_ExampleCaseStudy1

ME5659_LecSuppl_DynSysReview_ExampleCaseStudy1 - Clemson...

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ME 305 Lecture Supplement Dr. Jalili 1 Clemson University Department of Mechanical Engineering ME 305 Sample Modeling, Laplace Transform, etc.…. (A Complete Picture) Fall 2006 Dr. Nader Jalili MODELING &ANALYSIS OF AN SPEAKER SYSTEM: AN EXAMPLE CASE STUDY The basic concept of a speaker is illustrated in Figure 1-a . A coil that is attached to a diaphragm is allowed to move relative to a permanent magnet. The current in the coil is produced from a stereo or radio amplifier. As the current changes, a varying magnetic force is produced on the coil and causes diaphragm to move. The diaphragm's motion produces air pressure waves, which is sound. Figure 1-b shows a simplified model of the mechanical and electrical subsystems of the speaker. The mass m represents the combined mass of the diaphragm and the coil. The spring k and equivalent viscous damping c depend on the material properties of the diaphragm. The magnetic force f is related to the coil current i by i K f f = , where f K is the magnetic field constant. The coil's inductance and resistance are L and R , respectively. The coil experiences a back electromotive force (emf), just like the armature circuit in a DC motor. This back emf is given by x K v e
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This note was uploaded on 05/26/2010 for the course ME 5659 taught by Professor Jalili during the Spring '10 term at Northeastern.

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ME5659_LecSuppl_DynSysReview_ExampleCaseStudy1 - Clemson...

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