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Mode jumping of simply supported rectangular plates on nonlinear elastic foundation - MaRDI portal

Mode jumping of simply supported rectangular plates on nonlinear elastic foundation (Q1369588)

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scientific article; zbMATH DE number 1076642
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English
Mode jumping of simply supported rectangular plates on nonlinear elastic foundation
scientific article; zbMATH DE number 1076642

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    Mode jumping of simply supported rectangular plates on nonlinear elastic foundation (English)
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    25 November 1997
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    The authors study the buckling behaviour of rectangular von Kármán plates supported by a nonlinear elastic foundation. If the geometric parameters are chosen such that buckling close to a double eigenvalue occurs, the authors show that a great number of qualitatively different cases of loss of stability can occur including cases of mode jumping. Forty-five qualitatively different bifurcation diagrams are presented in the paper.
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    forty-five bifurcation diagrams
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    von Kármán plates
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    geometric parameters
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    double eigenvalue
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