Dynamic equations of motion for a rigid or deformable body in an arbitrary non-uniform potential flow field

DOI10.1017/S002211209500190XzbMath0866.76011MaRDI QIDQ4879236

A. Galper, Touvia Miloh

Publication date: 20 July 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian formalismparametric resonanceself-propulsionexistence of first integralsix degrees of freedomenergy conservation principleantisymmetry propertyeffect of non-uniformitymomentum approachquadratic shapesquadratic vector functionalself-propulsion mechanismweakly non-uniform external fields

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (9)

A ‘reciprocal’ theorem for the prediction of loads on a body moving in an inhomogeneous flow at arbitrary Reynolds number ⋮ The motion in a perfect fluid of a body containing a moving point mass ⋮ Self-propulsion of a body with rigid surface and variable coefficient of lift in a perfect fluid ⋮ Hydrodynamics and stability of a deformable body moving in the proximity of interfaces ⋮ Note on the swimming of an elongated body in a non-uniform flow ⋮ The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices ⋮ Motion stability of a deformable body in an ideal fluid with applications to the N spheres problem ⋮ Kirchhoff's equations of motion via a constrained Zakharov system ⋮ Locomotion of deformable bodies in an ideal fluid: Newtonian versus Lagrangian formalisms

Cites Work

• A note on the generalized Lagally theorem
• Variational methods and periodic solutions of equations of Kirchhoff type. II
• Chaotic motion of a solid through ideal fluid

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