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.
Original language | English |
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Pages (from-to) | 147-152 |
Journal | Physics Letters A |
Volume | 378 |
Issue number | 3 |
DOIs | |
Publication status | Published - 10 Jan 2014 |
Keywords
- Ziegler pendulum
- Static instability
- Kinematic constraints
- Non-commuting limits
- Magnetorotational instability
- Material instabilities