Abstract
A method is presented for the flexural analysis of clamped rectangular plates. The series solution converges more rapidly than the classical series solutions. (This is particularly true near the corners of the plate.) The analysis makes use of a series of Fadle (or biharmonic) eigenfunctions. The use of a representation in terms of a Fadle eigenfunction series is contingent on the ability to express arbitrary functions in terms of the series. An approximate expansion formula is developed and applied to the clamped rectangular plate problem. The particular example of a square plate supporting a uniform load is considered in detail, and the displacement profile is determined.
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