Tables of Certain Functions Occurring in Dynamics of Structures
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- by W. Prager PDF
- Math. Comp. 1 (1943), 101-103 Request permission
References
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Of this work there was a Ukrainian translation, Dinamika Sporudzhenie, Kharkov-Kiev, Naukovo-Tekhnichne Vidavnitstvo Ukraĭni, 1935, 381 p.
See W. Prager, “Zur Berechnung der Eigenschwingungszahlen ebener und räumlicher Stabwerke,” Z. techn. Physik, v. 10, 1929, p. 275-280; F. W. Waltking, “Zur Ermittlung der Eigenschwingungszahlen ebener Stabwerke,” Ingenieur-Archiv, v. 2, 1931, p. 247-274. F. Reinitzhuber, “Beitrag zur Berechnung der Eigenschwingungszahlen räumlicher Stabwerke,” idem, v. 8, 1937, p. 349-363.
W. Prager, “Die Beanspruchung von Tragwerken durch schwingenden Lasten,” Ingenieur-Archiv, v. 1, 1930, p. 527-532; S. Gradstein and W. Prager, “Beanspruchung und Formänderung von Stabwerken bei erzwungenen Schwingungen,” Ingenieur-Archiv, v. 2, 1931, p. 622-650; “Berichtigungen,” v. 3, 1932, p. 434. Tables of $\tan \lambda /2,\cot \lambda ,\csc \lambda ,\sec \lambda /2$, are given on p. 643-646; and those for the last group of functions listed above, p. 647-650. See also E. Fliegel, “Die Elasticitätsgleichungen zweiter Art der Stabwerksdynamik,” idem, v. 9, 1938, p. 20-28, where $\phi /({\phi ^2} + {\psi ^2}),\psi /({\phi ^2} - {\psi ^2}),1/(\phi - \psi )$, and $1/\phi$ are tabulated for $\lambda = [0.00(0.50)5.00;2{\text {D}}]$; and R. E. Gaskell, “On moment balancing in structural dynamics,” Quarterly of Applied Mathematics, Brown University, v. 1, 1943, p. 237-249.
Additional Information
- © Copyright 1943 American Mathematical Society
- Journal: Math. Comp. 1 (1943), 101-103
- DOI: https://doi.org/10.1090/S0025-5718-43-99062-3