Aeroelastic Vibrations and Stability of Plates and Shells / / Sergey D. Algazin, Igor A. Kijko.
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, turbine...
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Algazin, Sergey D., author. aut http://id.loc.gov/vocabulary/relators/aut Aeroelastic Vibrations and Stability of Plates and Shells / Sergey D. Algazin, Igor A. Kijko. Berlin ; Boston : De Gruyter, [2014] ©2015 1 online resource (220 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematical Physics , 2194-3532 ; 25 Frontmatter -- Preface -- Contents -- Introduction -- Part I: Flutter of plates -- 1. Statement of the problem -- 2. Determination of aerodynamic pressure -- 3. Mathematical statement of problems -- 4. Reduction to a problem on a disk -- 5. Test problems -- 6. Rectangular plate -- 7. Flutter of a rectangular plate of variable stiffness or thickness -- 8. Viscoelastic plates -- Part II: Flutter of shallow shells -- 9. General formulation -- 10. Determination of aerodynamic pressure -- 11. The shallow shell as part of an airfoil -- 12. The shallow shell of revolution -- 13. The conical shell: external flow -- 14. The conical shell: internal flow -- 15. Example calculations -- Part III: Numerical methods for non-self-adjoint eigenvalue problems -- 16. Discretization of the Laplace operator -- 17. Discretization of linear equations in mathematical physics with separable variables -- 18. Eigenvalues and eigenfunctions of the Laplace operator -- 19. Eigenvalues and eigenfunctions of a biharmonic operator -- 20. Eigenvalues and eigenfunctions of the Laplace operator on an arbitrary domain -- 21. Eigenvalues and eigenfunctions of a biharmonic operator on an arbitrary domain -- 22. Error estimates for eigenvalue problems -- Conclusion -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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). Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) SCIENCE / Mechanics / Aerodynamics. bisacsh Kijko, Igor A., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 9783110762518 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015 9783110700985 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package 9783110645309 Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM EPUB 9783110389456 print 9783110338362 https://doi.org/10.1515/9783110338379 https://www.degruyter.com/isbn/9783110338379 Cover https://www.degruyter.com/document/cover/isbn/9783110338379/original |
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English |
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eBook |
author |
Algazin, Sergey D., Algazin, Sergey D., Kijko, Igor A., |
spellingShingle |
Algazin, Sergey D., Algazin, Sergey D., Kijko, Igor A., Aeroelastic Vibrations and Stability of Plates and Shells / De Gruyter Studies in Mathematical Physics , Frontmatter -- Preface -- Contents -- Introduction -- Part I: Flutter of plates -- 1. Statement of the problem -- 2. Determination of aerodynamic pressure -- 3. Mathematical statement of problems -- 4. Reduction to a problem on a disk -- 5. Test problems -- 6. Rectangular plate -- 7. Flutter of a rectangular plate of variable stiffness or thickness -- 8. Viscoelastic plates -- Part II: Flutter of shallow shells -- 9. General formulation -- 10. Determination of aerodynamic pressure -- 11. The shallow shell as part of an airfoil -- 12. The shallow shell of revolution -- 13. The conical shell: external flow -- 14. The conical shell: internal flow -- 15. Example calculations -- Part III: Numerical methods for non-self-adjoint eigenvalue problems -- 16. Discretization of the Laplace operator -- 17. Discretization of linear equations in mathematical physics with separable variables -- 18. Eigenvalues and eigenfunctions of the Laplace operator -- 19. Eigenvalues and eigenfunctions of a biharmonic operator -- 20. Eigenvalues and eigenfunctions of the Laplace operator on an arbitrary domain -- 21. Eigenvalues and eigenfunctions of a biharmonic operator on an arbitrary domain -- 22. Error estimates for eigenvalue problems -- Conclusion -- Bibliography |
author_facet |
Algazin, Sergey D., Algazin, Sergey D., Kijko, Igor A., Kijko, Igor A., Kijko, Igor A., |
author_variant |
s d a sd sda s d a sd sda i a k ia iak |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Kijko, Igor A., Kijko, Igor A., |
author2_variant |
i a k ia iak |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Algazin, Sergey D., |
title |
Aeroelastic Vibrations and Stability of Plates and Shells / |
title_full |
Aeroelastic Vibrations and Stability of Plates and Shells / Sergey D. Algazin, Igor A. Kijko. |
title_fullStr |
Aeroelastic Vibrations and Stability of Plates and Shells / Sergey D. Algazin, Igor A. Kijko. |
title_full_unstemmed |
Aeroelastic Vibrations and Stability of Plates and Shells / Sergey D. Algazin, Igor A. Kijko. |
title_auth |
Aeroelastic Vibrations and Stability of Plates and Shells / |
title_alt |
Frontmatter -- Preface -- Contents -- Introduction -- Part I: Flutter of plates -- 1. Statement of the problem -- 2. Determination of aerodynamic pressure -- 3. Mathematical statement of problems -- 4. Reduction to a problem on a disk -- 5. Test problems -- 6. Rectangular plate -- 7. Flutter of a rectangular plate of variable stiffness or thickness -- 8. Viscoelastic plates -- Part II: Flutter of shallow shells -- 9. General formulation -- 10. Determination of aerodynamic pressure -- 11. The shallow shell as part of an airfoil -- 12. The shallow shell of revolution -- 13. The conical shell: external flow -- 14. The conical shell: internal flow -- 15. Example calculations -- Part III: Numerical methods for non-self-adjoint eigenvalue problems -- 16. Discretization of the Laplace operator -- 17. Discretization of linear equations in mathematical physics with separable variables -- 18. Eigenvalues and eigenfunctions of the Laplace operator -- 19. Eigenvalues and eigenfunctions of a biharmonic operator -- 20. Eigenvalues and eigenfunctions of the Laplace operator on an arbitrary domain -- 21. Eigenvalues and eigenfunctions of a biharmonic operator on an arbitrary domain -- 22. Error estimates for eigenvalue problems -- Conclusion -- Bibliography |
title_new |
Aeroelastic Vibrations and Stability of Plates and Shells / |
title_sort |
aeroelastic vibrations and stability of plates and shells / |
series |
De Gruyter Studies in Mathematical Physics , |
series2 |
De Gruyter Studies in Mathematical Physics , |
publisher |
De Gruyter, |
publishDate |
2014 |
physical |
1 online resource (220 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Introduction -- Part I: Flutter of plates -- 1. Statement of the problem -- 2. Determination of aerodynamic pressure -- 3. Mathematical statement of problems -- 4. Reduction to a problem on a disk -- 5. Test problems -- 6. Rectangular plate -- 7. Flutter of a rectangular plate of variable stiffness or thickness -- 8. Viscoelastic plates -- Part II: Flutter of shallow shells -- 9. General formulation -- 10. Determination of aerodynamic pressure -- 11. The shallow shell as part of an airfoil -- 12. The shallow shell of revolution -- 13. The conical shell: external flow -- 14. The conical shell: internal flow -- 15. Example calculations -- Part III: Numerical methods for non-self-adjoint eigenvalue problems -- 16. Discretization of the Laplace operator -- 17. Discretization of linear equations in mathematical physics with separable variables -- 18. Eigenvalues and eigenfunctions of the Laplace operator -- 19. Eigenvalues and eigenfunctions of a biharmonic operator -- 20. Eigenvalues and eigenfunctions of the Laplace operator on an arbitrary domain -- 21. Eigenvalues and eigenfunctions of a biharmonic operator on an arbitrary domain -- 22. Error estimates for eigenvalue problems -- Conclusion -- Bibliography |
isbn |
9783110338379 9783110762518 9783110700985 9783110645309 9783110369526 9783110370355 9783110389456 9783110338362 |
issn |
2194-3532 ; |
url |
https://doi.org/10.1515/9783110338379 https://www.degruyter.com/isbn/9783110338379 https://www.degruyter.com/document/cover/isbn/9783110338379/original |
illustrated |
Not Illustrated |
doi_str_mv |
10.1515/9783110338379 |
oclc_num |
898769809 |
work_keys_str_mv |
AT algazinsergeyd aeroelasticvibrationsandstabilityofplatesandshells AT kijkoigora aeroelasticvibrationsandstabilityofplatesandshells |
status_str |
n |
ids_txt_mv |
(DE-B1597)214658 (OCoLC)898769809 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015 Title is part of eBook package: De Gruyter DG Studies in Mathematical Physics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 |
is_hierarchy_title |
Aeroelastic Vibrations and Stability of Plates and Shells / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 |
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