Abstract
A flexible elastic sheet overhangs from a corner. The deflection due to its own weight depends on a parameterK which represents the relative importance of overhang length to the bending length (EI/ϱ)1/3.
Zusammenfassung
Ein biegsames Blech überhängt an einer Ecke. Die vom Eigengewicht verursachte Abbiegung hängt von einem ParameterK ab, der die relative Bedeutung der Überhängungslänge zur Biegesteife darstellt.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. E. Dennis and J. J. Moré,Quasi-Newton methods — motivation and theory. SIAM Rev.21, 46–79 (1977).
L. T. Watson and C. Y. Wang,A homotopy method applied to elastica problems. Int. J. Solids Struct.17, 29–37 (1981).
L. F. Shampine and M. K. Gordon,Computer solution of ordinary differential equations: The initial value problem. Freeman, San Francisco 1975.
L. T. Watson,An algorithm that is globally convergent with probability one for a class of nonlinear two-point boundary value problems. SIAM J. Numer. Anal.16, 394–401 (1979).
W. G. Bickley,The heavy elastica. Phil. Mag. Ser. 7,17, 603–622 (1934).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Watson, L.T., Wang, C.Y. Overhang of a heavy elastic sheet. Z. angew. Math. Phys. 33, 17–23 (1982). https://doi.org/10.1007/BF00948309
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00948309