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A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures

Luongo, A.

AbstractA unified perturbation approach, based on the multiple scale method, able to analyse interactions among static and/or dynamic bifurcations of nonlinear structures, is illustrated. The method appears as the natural extension to the dynamical case of the static perturbation method, well-known in buckling of elastic structures. To illustrate the algorithm, a general, multiparameter, finite-dimensional autonomous system is considered, simultaneously undergoing a static (divergence) and two dynamic (Hopf) bifurcations, of nonresonant or resonant type. The method furnishes bifurcation equations governing the time-evolution of amplitudes and phases of the critical interacting modes. Results relevant to sample structures are discussed.

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A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures

Luongo, A.

AbstractA unified perturbation approach, based on the multiple scale method, able to analyse interactions among static and/or dynamic bifurcations of nonlinear structures, is illustrated. The method appears as the natural extension to the dynamical case of the static perturbation method, well-known in buckling of elastic structures. To illustrate the algorithm, a general, multiparameter, finite-dimensional autonomous system is considered, simultaneously undergoing a static (divergence) and two dynamic (Hopf) bifurcations, of nonresonant or resonant type. The method furnishes bifurcation equations governing the time-evolution of amplitudes and phases of the critical interacting modes. Results relevant to sample structures are discussed.

A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures

Luongo, A.

AbstractA unified perturbation approach, based on the multiple scale method, able to analyse interactions among static and/or dynamic bifurcations of nonlinear structures, is illustrated. The method appears as the natural extension to the dynamical case of the static perturbation method, well-known in buckling of elastic structures. To illustrate the algorithm, a general, multiparameter, finite-dimensional autonomous system is considered, simultaneously undergoing a static (divergence) and two dynamic (Hopf) bifurcations, of nonresonant or resonant type. The method furnishes bifurcation equations governing the time-evolution of amplitudes and phases of the critical interacting modes. Results relevant to sample structures are discussed.

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Title:

A unified perturbation approach to static/dynamic coupled instabilities of nonlinear structures

Contributors:

Luongo, A. (author)

Published in:

Thin-Walled Structures ; 48 ; 744-751

Publication date:

2010-01-01

Size:

8 pages

ISSN:

DOI:

https://doi.org/10.1016/j.tws.2010.01.002

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Bifurcation analysis , Divergence–Hopf interaction , Multiparameter systems , Internal resonance , Perturbation method , Reduction method

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