Stability analysis of a rotating flexible system

DOI10.1007/BF00047531zbMath0682.70021MaRDI QIDQ1824436

Anthony M. Bloch

Publication date: 1989

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nonlinear stabilityenergy-momentum mapPoisson bracket structure`energy-momentum' methodcentrifugal stiffening effectscoupled ordinary and partial differential equationsmotion of a planar bodyrigid body with attached flexibe rod

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Classical linear elasticity (74B05) Stability for nonlinear problems in mechanics (70K20) Dynamics of a system of particles, including celestial mechanics (70F99)

Related Items (6)

Bifurcation and buckling analysis of a unilaterally confined self-rotating cantilever beam ⋮ Modeling and analysis of a coupled rigid-flexible system ⋮ Model of centrifugal effect and attitude maneuver stability of a coupled rigid-flexible system ⋮ Dynamic behavior of thin rectangular plate attached to moving rigid ⋮ Dynamic characteristic and stability analysis of a beam mounted on a moving rigid body ⋮ Modelling and bifuraction analysis of the centre rigid-body mounted on an external Timoshenko beam

Cites Work

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• Hamiltonian structures and stability for rigid bodies with flexible attachments
• Semigroups of linear operators and applications to partial differential equations
• Stabilization of a class of hybrid systems arising in flexible spacecraft
• Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis
• Nonlinear stability of fluid and plasma equilibria
• On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
• Stability of a spinning body containing elastic parts via Liapunov'sdirect method

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