Aeroelastic Vibrations and Stability of Plates and Shells - Couverture rigide
Livre 24 sur 53: De Gruyter Studies in Mathematical Physics
Synopsis
Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided.
Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website).
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À propos de l?auteur
Sergey D. Algazin, Ishlinsky Institute of Problems of Mechanics, Russia.Igor A. Kijko, Moscow State University, Russia.
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Aeroelastic Vibrations and Stability of Plates and Shells (De Gruyter Studies in Mathematical Physics)
Edité par
De Gruyter, 2015
ISBN 10 : 311033836X
ISBN 13 : 9783110338362
Ancien ou d'occasion
Couverture rigide
Edition originale
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Hardcover. Etat : Very Good. 1st Edition. Hardcover, xi + 220 pages, NOT ex-library. Minor wear, book is clean and bright with unmarked text and firm binding, no inscriptions, no stamps. -- This is a comprehensive theoretical and computational treatment of flutter phenomena in thin-walled structural elements under aerodynamic loading. It focuses on panel flutter, a dynamic instability critical in aerospace applications, particularly for aircraft and missile structures at high speeds. The book systematically presents problem formulations, analytical approaches, and numerical methods to evaluate the aeroelastic stability of plates and shallow shells in both subsonic and supersonic flow regimes. The study is divided into three parts. The first focuses on the flutter of flat plates. After formulating the classical plate flutter problem based on piston theory, the authors extend the analysis to new configurations including rectangular plates with variable stiffness or thickness, and viscoelastic materials. The analytical core involves the reduction of the aeroelastic problem to non-self-adjoint eigenvalue problems. The authors derive critical flutter conditions using a combination of asymptotic analysis and numerical-analytical methods. Of particular interest is the treatment of the long-standing paradox of critical flutter velocity in viscoelastic plates, which is resolved here using a novel formulation. The second part examines shallow shells, including configurations with external and internal flow, such as conical shells and shells of revolution. These geometries are relevant to airfoils, rocket bodies, and structural components subject to internal pressurization or aerodynamic forces. The authors generalize earlier piston theory approximations to account for more complex geometries and flow conditions. This section includes original contributions on modeling shells as part of larger systems and offers sample computations that highlight new mechanical effects arising in these cases. The third part is dedicated to the numerical methodology, particularly for solving eigenvalue problems involving non-self-adjoint operators. This is a key aspect of flutter analysis, where stability conditions depend on the spectrum of such operators. The authors develop discretization techniques for differential operators (Laplace and biharmonic) on both regular and arbitrary domains. They use conformal mapping and h-matrix approximations to enable fast computations. Several numerical programs are described, including LAP123C and BIG12AG, which are capable of solving Dirichlet, Neumann, and mixed boundary problems for a range of geometries. The methods allow for reliable calculation of critical parameters across various configurations and are supported by error estimates and convergence analyses. Thematically, the book integrates mathematical modeling, mechanical analysis, and computational implementation. Recurrent topics include the limitations of piston theory in low-to-moderate supersonic regimes, the influence of flow direction and plate geometry on instability, and the behavior of complex eigenvalue spectra. In the context of current research, this work is significant for its contribution to the general theory of panel flutter beyond the standard assumptions used in earlier studies. It addresses limitations in classical models by developing formulations valid for plates and shells with arbitrary planform, variable material properties, and under nonuniform flow conditions. The book also offers insights into optimization problems, such as determining critical thickness or stiffness distributions for flutter suppression. The methods presented are suitable for researchers working on structural stability in aerospace, mechanical, and civil engineering contexts. The book's treatment of non-self-adjoint spectral problems and integral formulations of aerodynamic pressure extends beyond aeroelasticity, offering tools relevant to broader problems in applied mechanics and mathematical physics. N° de réf. du vendeur 011379
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Aeroelastic Vibrations and Stability of Plates and Shells
Edité par
De Gruyter, 2014
ISBN 10 : 311033836X
ISBN 13 : 9783110338362
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | Back-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website). N° de réf. du vendeur 24895140/12
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Aeroelastic vibrations and stability of plates and shells
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Hardcover. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Sergey D. Algazin, Is. N° de réf. du vendeur 4457927
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Aeroelastic Vibrations and Stability of Plates and Shells
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Aeroelastic Vibrations and Stability of Plates and Shells (De Gruyter Studies in Mathematical Physics, 25)
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Aeroelastic Vibrations and Stability of Plates and Shells
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Aeroelastic Vibrations and Stability of Plates and Shells (eng)
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Aeroelastic Vibrations and Stability of Plates and Shells
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Buch. Etat : Neu. Aeroelastic Vibrations and Stability of Plates and Shells | Igor A. Kijko (u. a.) | Buch | XI | Englisch | 2014 | De Gruyter | EAN 9783110338362 | Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, 10785 Berlin, productsafety[at]degruyterbrill[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 105177250
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Aeroelastic Vibrations and Stability of Plates and Shells
Edité par
De Gruyter, 2014
ISBN 10 : 311033836X
ISBN 13 : 9783110338362
Ancien ou d'occasion
Couverture rigide
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