### ASA 124th Meeting New Orleans 1992 October

## 1aPA8. Interport relations for the infinite elastic plate.

**Anthony J. Rudgers
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*Naval Res. Lab., Underwater Sound Reference Detachment, P.O. Box 568337,
Orlando, FL 32856-8337
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For a reciprocal linear system, a set of reciprocity equalities relates
dual variables at pairs of system ports. These equalities arise from the
symmetry properties that characterize the immittance matrices of reciprocal
linear systems. It has been proven previously that the infinite elastic plate,
as described by the equations of linear elasticity theory, is a nonreciprocal
linear system. Since the plate is a nonreciprocal system, which is
characterized by nonsymmetric immittance matrices, reciprocity equalities of
the usual kind do not exist for it. There is, however, a set of equations, here
termed the ``interport relations,'' that relates dual variables at pairs of
ports in the infinite-plate problem. The plate interport relations, which are
the counterpart of the set of the reciprocity equalities that hold for a
reciprocal linear system, are described in this paper. [Work supported by
ONR.]