Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Tables of Certain Functions Occurring in Dynamics of Structures


Author: W. Prager
Journal: Math. Comp. 1 (1943), 101-103
DOI: https://doi.org/10.1090/S0025-5718-43-99062-3
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] Of this work there was a Ukrainian translation, Dinamika Sporudzhenie, Kharkov-Kiev, Naukovo-Tekhnichne Vidavnitstvo Ukraĭni, 1935, 381 p.
  • [2] 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.
  • [3] 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

DOI: https://doi.org/10.1090/S0025-5718-43-99062-3
Article copyright: © Copyright 1943 American Mathematical Society

American Mathematical Society