Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis

Jean Lerbet; Oleg Kirillov; Marwa Aldowaji; Noël Challamel; François Nicot; Félix Darve

doi:10.1016/j.ijsolstr.2012.09.014

Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis

Jean Lerbet, Oleg Kirillov, Marwa Aldowaji, Noël Challamel, François Nicot, Félix Darve

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

13 Citations (Scopus)

Abstract

The effect of additional kinematic constraints on eigenfrequencies of non conservative systems presenting a non symmetric stiffness matrix is investigated with the use of the second order work criterion. It is shown that there are always additional constraints that may soften structural systems, from both buckling and vibration points of view. The steps for building such constraints are given, consequences on stability are discussed and several illustrating examples are presented.

Original language	English
Pages (from-to)	363-370
Journal	International Journal of Solids and Structures
Volume	50
Issue number	2
DOIs	https://doi.org/10.1016/j.ijsolstr.2012.09.014
Publication status	Published - 15 Jan 2013

Keywords

stability
vibrations
non-conservative problems
constrained systems
second-order work criterion

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10.1016/j.ijsolstr.2012.09.014

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abstract = "The effect of additional kinematic constraints on eigenfrequencies of non conservative systems presenting a non symmetric stiffness matrix is investigated with the use of the second order work criterion. It is shown that there are always additional constraints that may soften structural systems, from both buckling and vibration points of view. The steps for building such constraints are given, consequences on stability are discussed and several illustrating examples are presented.",

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AU - Lerbet, Jean

AU - Kirillov, Oleg

AU - Aldowaji, Marwa

AU - Challamel, Noël

AU - Nicot, François

AU - Darve, Félix

N1 - Open Access article

PY - 2013/1/15

Y1 - 2013/1/15

N2 - The effect of additional kinematic constraints on eigenfrequencies of non conservative systems presenting a non symmetric stiffness matrix is investigated with the use of the second order work criterion. It is shown that there are always additional constraints that may soften structural systems, from both buckling and vibration points of view. The steps for building such constraints are given, consequences on stability are discussed and several illustrating examples are presented.

AB - The effect of additional kinematic constraints on eigenfrequencies of non conservative systems presenting a non symmetric stiffness matrix is investigated with the use of the second order work criterion. It is shown that there are always additional constraints that may soften structural systems, from both buckling and vibration points of view. The steps for building such constraints are given, consequences on stability are discussed and several illustrating examples are presented.

KW - stability

KW - vibrations

KW - non-conservative problems

KW - constrained systems

KW - second-order work criterion

UR - https://www.scopus.com/pages/publications/84869499970

U2 - 10.1016/j.ijsolstr.2012.09.014

DO - 10.1016/j.ijsolstr.2012.09.014

M3 - Article

SN - 0020-7683

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SP - 363

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JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 2

ER -

Additional constraints may soften a non-conservative structural system: Buckling and vibration analysis

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Keywords

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