Wittrick-Williams algorithm proof of bracketing and convergence theorems for eigenvalues of constrained structures with positive and negative penalty parameters

The well‐established Wittrick–Williams algorithm is used to derive novel and general proofs that show that the eigenvalues of systems with constraints can be bracketed by replacing the constraints by positive and negative pairs of either ordinary or inertial penalty parameters. It is also shown that...

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Veröffentlicht in:	International journal for numerical methods in engineering 2008-07, Vol.75 (1), p.83-102
Hauptverfasser:	Ilanko, S., Williams, F. W.
Format:	Artikel
Sprache:	eng
Schlagworte:	Buckling Computational techniques eigenvalues Exact sciences and technology Fundamental areas of phenomenology (including applications) Mathematical methods in physics penalty parameter Physics Rayleigh-Ritz method Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Wittrick-Williams algorithm
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