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.
General
Imprint: |
De Gruyter
|
Country of origin: |
Germany |
Series: |
De Gruyter Studies in Mathematical Physics |
Release date: |
April 2015 |
First published: |
2015 |
Authors: |
Ivan A Lukovsky
|
Dimensions: |
240 x 170mm (L x W) |
Format: |
Hardcover
|
Pages: |
410 |
ISBN-13: |
978-3-11-031655-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
Promotions
|
LSN: |
3-11-031655-2 |
Barcode: |
9783110316551 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!