The vibrational and acoustic behavior of direct-radiator loudspeaker cones was investigated. A finite-element model of the cone structure was coupled to analytical models of the acoustic environment and electromechanical voice coil, producing a model that required far less computer storage than wholly finite-element programs. Acoustic loading was simulated by a distributed load on the surface of the cone, the load being a function of the surface vibrational pattern. Thus acoustic loading was represented as interelement coupling in the structural finite-element model. The model was validated by comparison with other independent solutions of simple cases. Performance characteristics of a popular mass-produced loudspeaker were predicted with accuracy, and the flexibility of the model in providing design information was demonstrated.
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