Ivan A. Lukovsky
eBook, ePUB

Nonlinear Dynamics (eBook, ePUB)

Mathematical Models for Rigid Bodies with a Liquid

Übersetzer: Malyshev, Peter V.
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This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional system of nonlinear ordinary differential equations coupling quasi-velocities of the rigid body motions and generalized coordinates responsible for...

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