Dynamic instability of a non-uniform beam modeled in a two-degree-of-freedom system

David Levanony; Menahem Baruch

doi:10.1007/BF00945823

Dynamic instability of a non-uniform beam modeled in a two-degree-of-freedom system

David Levanony, Menahem Baruch

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2 Scopus citations

Abstract

The behaviour of a non-uniform beam loaded by a parallel or tangential compressive force respectively is analyzed by exploiting a two-degree-of-freedom dynamic model. The same system has been analyzed previously by Lee and Reissner from a static point of view and by Neer and Baruch by a dynamic approach using a one-degree-of-freedom model. The previous analyses revealed only part of the phenomena by the present approach. Here, for the tangential force a classical flutter instability is obtained and for the parallel force only static instability is possible.

Original language	English
Pages (from-to)	874-882
Number of pages	9
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	38
Issue number	6
DOIs	https://doi.org/10.1007/BF00945823
State	Published - 1 Nov 1987
Externally published	Yes

ASJC Scopus subject areas

Mathematics (all)
Physics and Astronomy (all)
Applied Mathematics

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title = "Dynamic instability of a non-uniform beam modeled in a two-degree-of-freedom system",

abstract = "The behaviour of a non-uniform beam loaded by a parallel or tangential compressive force respectively is analyzed by exploiting a two-degree-of-freedom dynamic model. The same system has been analyzed previously by Lee and Reissner from a static point of view and by Neer and Baruch by a dynamic approach using a one-degree-of-freedom model. The previous analyses revealed only part of the phenomena by the present approach. Here, for the tangential force a classical flutter instability is obtained and for the parallel force only static instability is possible.",

author = "David Levanony and Menahem Baruch",

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AU - Baruch, Menahem

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N2 - The behaviour of a non-uniform beam loaded by a parallel or tangential compressive force respectively is analyzed by exploiting a two-degree-of-freedom dynamic model. The same system has been analyzed previously by Lee and Reissner from a static point of view and by Neer and Baruch by a dynamic approach using a one-degree-of-freedom model. The previous analyses revealed only part of the phenomena by the present approach. Here, for the tangential force a classical flutter instability is obtained and for the parallel force only static instability is possible.

AB - The behaviour of a non-uniform beam loaded by a parallel or tangential compressive force respectively is analyzed by exploiting a two-degree-of-freedom dynamic model. The same system has been analyzed previously by Lee and Reissner from a static point of view and by Neer and Baruch by a dynamic approach using a one-degree-of-freedom model. The previous analyses revealed only part of the phenomena by the present approach. Here, for the tangential force a classical flutter instability is obtained and for the parallel force only static instability is possible.

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ER -

Dynamic instability of a non-uniform beam modeled in a two-degree-of-freedom system

Abstract

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