A technique is developed for estimating the eigenvalues of one problem using an expansion of linearly dependent eigenfunctions of another problem. Such an expansion cannot be used with Galerkin’s method because the linear dependence of the eigenfunctions renders Galerkin’s method singular. Test results indicate that the method converges and is as accurate as Galerkin’s method with linearly independent trial functions. [S0739-3717(00)01804-3]

Issue Section:
Technical Briefs
Keywords:
eigenvalues and eigenfunctions, vibrations, convergence
Topics:
Eigenfunctions, Eigenvalues
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 by ASME
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