Singular divergence instability thresholds of kinematically constrained circulatory systems

Kirillov, Oleg, Challamel, N., Darve, F., Lerbet, J. and Nicot, F. (2014) Singular divergence instability thresholds of kinematically constrained circulatory systems. Physics Letters A, 378 (3). pp. 147-152. ISSN 0375-9601

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Official URL: http://dx.doi.org/10.1016/j.physleta.2013.10.046

Abstract

Static instability or divergence threshold of both potential and circulatory systems with kinematic constraints depends singularly on the constraintsʼ coefficients. Particularly, the critical buckling load of the kinematically constrained Zieglerʼs pendulum as a function of two coefficients of the constraint is given by the Plucker conoid of degree n=2. This simple mechanical model exhibits a structural instability similar to that responsible for the Velikhov–Chandrasekhar paradox in the theory of magnetorotational instability.

Item Type: Article
Uncontrolled Keywords: Ziegler pendulum; Static instability; Kinematic constraints; Non-commuting limits; Magnetorotational instability; Material instabilities
Subjects: F300 Physics
G100 Mathematics
H300 Mechanical Engineering
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Oleg Kirillov
Date Deposited: 09 Jan 2017 12:02
Last Modified: 11 Jan 2017 09:43
URI: http://nrl.northumbria.ac.uk/id/eprint/29030

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