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On the first order change of bifurcation buckling loads due to structural geometry perturbations - MaRDI portal

On the first order change of bifurcation buckling loads due to structural geometry perturbations (Q802359)

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scientific article; zbMATH DE number 3890830
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English
On the first order change of bifurcation buckling loads due to structural geometry perturbations
scientific article; zbMATH DE number 3890830

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    On the first order change of bifurcation buckling loads due to structural geometry perturbations (English)
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    1984
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    The author deals in this important paper with the practically relevant question how critical loads and the corresponding eigenmodes for bifurcation buckling of slender structures are changed when cavities or reinforcements in the structure are introduced. The problem is treated in formulating a linear eigenvalue problem in which only terms of the same order of magnitude of a small parameter are retained. Application to several problems in structural mechanics are given.
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    first order change of eigenmodes
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    perturbation procedure
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    geometry change
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    critical loads
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    bifurcation buckling
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    slender structures
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    cavities
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    reinforcements
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    linear eigenvalue problem
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