Lower bound eigenvalues of a Timoshenko-Ehrenfest vibrating beam using the Wittrick-Williams algorithm by Andrew Watson, W Paul Howson, Antonio Zippo, Francesco Pellicano

“…Solving this modified problem reveals the necessary eigenvalues through a straightforward mathematical operation. This methodology finds broad applicability in mathematical disciplines where negative eigenvalues arise, providing an efficient means to extract the necessary eigenvalues. …”
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