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Item Details
| Title:
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NONLINEAR DYNAMICS
MATHEMATICAL MODELS FOR RIGID BODIES WITH A LIQUID |
| By: |
Ivan A. Lukovsky, Peter V. Malyshev (Trans) |
| Format: |
Hardback |
| List price:
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£148.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3110316552 |
| ISBN 13: |
9783110316551 |
| Publisher: |
DE GRUYTER |
| Pub. date: |
17 April, 2015 |
| Series: |
De Gruyter Studies in Mathematical Physics 27 |
| Pages: |
410 |
| Description: |
The DeGruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They also can serve as secondary reading for lectures and seminars at advanced levels. |
| Synopsis: |
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 displacements of the natural sloshing modes. Algorithms for computing the hydrodynamic coefficients in the approximate mathematical models are proposed. Numerical values of these coefficients are listed for some tank shapes and liquid fillings. The mathematical models are also derived for the contained liquid characterized by the Newton-type dissipation. Formulas for hydrodynamic force and moment are derived in terms of the solid body quasi-velocities and the sloshing-related generalized coordinates. For prescribed harmonic excitations of upright circular (annular) cylindrical and/or conical tanks, the steady-state sloshing regimes are theoretically classified; the results are compared with known experimental data. The book can be useful for both experienced and early-stage mechanicians, applied mathematicians and engineers interested in (semi-)analytical approaches to the "fluid-structure" interaction problems, their fundamental mathematical background as well as in modeling the dynamics of complex mechanical systems containing a rigid tank partly filled by a liquid. |
| US Grade: |
College Graduate Student |
| Illustrations: |
43 Tables, black and white; 26 Illustrations, black and white |
| Publication: |
Germany |
| Imprint: |
De Gruyter |
| Returns: |
Non-returnable |
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