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

Jean Lerbet 1 Oleg N. Kirillov 2 Marwa Aldowaji 1 Noël Challamel 3 François Nicot 4 Félix Darve 5
1 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
2 Magnetohydrodynamics Division
3 LIMATB - Laboratoire d'Ingénierie des Matériaux de Bretagne
4 UR ETGR (ETNA) - Erosion torrentielle neige et avalanches
5 3SR - Laboratoire sols, solides, structures - risques [Grenoble]
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.
Keywords : Stability Vibrations Non-conservative problems Constrained systems Second-order work criterion
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Jean Lerbet, Oleg N. Kirillov, Marwa Aldowaji, Noël Challamel, François Nicot, et al.. Additional constraints may soften a non-conservative structural system: buckling and vibration analysis. International Journal of Solids and Structures, Elsevier, 2013, 50 (2), pp.363--370. ⟨10.1016/j.ijsolstr.2012.09.014⟩. ⟨hal-00756558⟩

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