Lateral Vibrations of a Beam Under Initial Linear Axial Stress

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Previous article Next article Lateral Vibrations of a Beam Under Initial Linear Axial StressYih-O Tu and George HandelmanYih-O Tu and George Handelmanhttps://doi.org/10.1137/0109038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Hans Ziegler, On the concept of elastic stabilityAdvances in applied mechanics, vol. IV, Academic Press Inc., New York, N. Y., 1956, 351–403 MR0076568 CrossrefGoogle Scholar[2] J. Kestens, Le Problème aux Valeurs Propres Naturel, Université Libre de Bruxelles, 1958 Google Scholar[3] S. Timoshenko, Vibration Problems in Engineering, Van Nostrand, New York, 1937, 344– Google Scholar[4] L. Collatz, Eigenwertprobleme and Ihre Numerische Behandlung, Chelsea, New York, 1948, 93– Google Scholar[5] Jürgen Moser, Singular perturbation of eigenvalue problems for linear differential equations of even order, Comm. Pure Appl. Math., 8 (1955), 251–278 MR0071604 0064.33301 CrossrefISIGoogle Scholar[6] N. W. Mclachlan, Theory of Vibrations, Dover, New York, 1951, 73– Google Scholar[7] R. Courant and , D. Hilbert, Methoden der Mathematischen Physik, Springer-Verlag, Berlin, 1931, 352– 0001.00501 CrossrefGoogle Scholar[8] Y. O. Tu and , G. H. Handelman, Problems in the Dynamics of Elastic Systems Under Initial Stress, Report, AFOSR TN-59-406 AD 214 503, Rensselaer Polytechnic Institute, 1959, May Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 9, Issue 3| 1961Journal of the Society for Industrial and Applied Mathematics History Submitted:20 June 1960Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109038Article page range:pp. 455-473ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics