SECONDARY STATES OF RECTANGULAR PLATES.

Bernard J. Matkowsky; Leonard J. Putnick; Edward L. Reiss

doi:10.1137/0138003

SECONDARY STATES OF RECTANGULAR PLATES.

Bernard J. Matkowsky^*, Leonard J. Putnick, Edward L. Reiss

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

The secondary buckling of rectangular elastic plates is studied as a problem of secondary bifurcation. The nonlinear von Karman plate theory is used in the analysis. The secondary bifurcation points, and the secondary states that bifurcate from them are determined by a previously developed perturbation method. Secondary buckling is related to the phenomenon of ″mode-jumping″ that is observed in buckling experiments with elastic plates.

Original language	English (US)
Pages (from-to)	38-51
Number of pages	14
Journal	SIAM Journal on Applied Mathematics
Volume	38
Issue number	1
DOIs	https://doi.org/10.1137/0138003
State	Published - Jan 1 1980

ASJC Scopus subject areas

Applied Mathematics

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title = "SECONDARY STATES OF RECTANGULAR PLATES.",

abstract = "The secondary buckling of rectangular elastic plates is studied as a problem of secondary bifurcation. The nonlinear von Karman plate theory is used in the analysis. The secondary bifurcation points, and the secondary states that bifurcate from them are determined by a previously developed perturbation method. Secondary buckling is related to the phenomenon of ″mode-jumping″ that is observed in buckling experiments with elastic plates.",

author = "Matkowsky, {Bernard J.} and Putnick, {Leonard J.} and Reiss, {Edward L.}",

year = "1980",

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N2 - The secondary buckling of rectangular elastic plates is studied as a problem of secondary bifurcation. The nonlinear von Karman plate theory is used in the analysis. The secondary bifurcation points, and the secondary states that bifurcate from them are determined by a previously developed perturbation method. Secondary buckling is related to the phenomenon of ″mode-jumping″ that is observed in buckling experiments with elastic plates.

AB - The secondary buckling of rectangular elastic plates is studied as a problem of secondary bifurcation. The nonlinear von Karman plate theory is used in the analysis. The secondary bifurcation points, and the secondary states that bifurcate from them are determined by a previously developed perturbation method. Secondary buckling is related to the phenomenon of ″mode-jumping″ that is observed in buckling experiments with elastic plates.

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SECONDARY STATES OF RECTANGULAR PLATES.

Abstract

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