Acoustical systems: analogies | Part 2: equivalent circuits

Eigenmodes

The nature of the terminations at the input and output of a wave guide influence the eigenmodes of an acoustical system.

A eigenmode characterises an oscillating system by a eigenfrequency and a mode shape.

  • The eigenfrequency is one of the resonant frequencies of the system, for which a tiny quantity of applied energy will cause oscillation of the system.

  • The mode shape is the spatial repartition of the physical quantities (pressure, volume velocity) at this frequency.

Illustrated examples of the natural frequencies and mode shapes are given in references [6] and [7].

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