A new, flexural wave solution is derived for the Kirchhoff, thin plate equation on a semi-infinite domain with a free edge. This wave is a freely propagating wave that travels parallel to the edge, i.e., the curves of constant phase are straight lines perpendicular to the edge, while the wave amplitude falls off exponentially with distance from the edge, so the curves of constant amplitude are straight lines parallel to the edge. For a fixed frequency its speed is proportional to that of the standard bending wave speed. The constant of proportionality depends on the Poisson ratio only. Its value is slightly less than 1.
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© 1998 Acoustical Society of America.
1998
Acoustical Society of America
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