Dynamic relaxation is used to analyse square plates at large deflections according to the Foeppl and Von Karman theories. The results quantify their asymptotic nature and the effect of variable thickness.
Get full access to this article
View all access options for this article.
References
1.
FoepplA.Vorlesungen über Technische Mechanik1922, 4th edition 5, 132 (B. G. Teubner Verlag, Leipzig and Berlin).
2.
Von KarmanT.H.Enzyklopä;die der Mathematischen Wissenschaften191015, 349 (Akademie der Wissenschaften, Leipzig).
3.
OlssonR.GRAN. ‘Biegung der Rechteckplatte bei linear verä;nderlicher Biegungssteifigkeit’, Ingenieur-Archiv19345, 363–373.
4.
FungY. C.‘Bending of thin elastic plates of variable thickness’, Journal of the Aeronautical Sciences195320, 455–468.
5.
ConwayH. D.‘A Levy-type solution for a rectangular plate of variable thickness’, Journal of Applied Mechanics195825, 297–298.
6.
MansfieldE. H.‘On the analysis of elastic plates of variable thickness’, Quarterly Journal of Mechanics and Applied Mathematics196215 (Part 2), 167–192.
7.
HarndenC. T.RushtonK. R.‘Numerical analysis of variable thickness plates’, Journal of Strain Analysis19661 (No. 3), 231–238.
8.
RushtonK. R.‘Large deflexion of variable-thickness plates’, International Journal of Mechanical Sciences196810 (No. 9), 723–735.
9.
OtterJ. R. H.CassellA. C.HobbsR. E.‘Dynamic relaxation’, Proceedings of the Institution of Civil Engineers196635, 633–656.
10.
RushtonK. R.‘Large deflections of plates with unsupported edges’, Journal of Strain Analysis19727 (No. 1), 44–53.
11.
TurveyG. J.WittrickW. H.‘The large deflection and postbuckling of some laminated plates’, The Aeronautical Quarterly197324 (No. 2), 77–86.
12.
FoepplA.FoepplL.Drang und Zwang1924, 2nd edition, 226–230 (R. Oldenbourg Verlag, Munich and Berlin).
