Abstract
This paper presents an extension of Myklestad's method that within a limited range either side of a natural frequency enables an improved frequency value to be determined from the results of a previous calculation. The method has quadratic convergence within the vicinity of a natural frequency and is well suited for solution on a digital computer. The method is illustrated by determining the first five natural frequencies of a cantilever beam, and the rates and range of convergence of the method are shown.

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