04267nam 2200709 450 991078881950332120210515003044.01-68015-770-13-11-038945-23-11-033837-810.1515/9783110338379(CKB)3360000000515109(EBL)1663201(SSID)ssj0001401337(PQKBManifestationID)11890561(PQKBTitleCode)TC0001401337(PQKBWorkID)11344673(PQKB)10963062(MiAaPQ)EBC1663201(DE-B1597)214658(OCoLC)898769809(DE-B1597)9783110338379(Au-PeEL)EBL1663201(CaPaEBR)ebr11010283(CaONFJC)MIL808095(PPN)187994501(EXLCZ)99336000000051510920150204h20152015 uy 0engurun#---|u||utxtccrAeroelastic vibrations and stability of plates and shells /Sergey D. Algazin, Igor A. KijkoBerlin, Germany :De Gruyter,2015.©20151 online resource (234 p.)De Gruyter Studies in Mathematical Physics,2194-3532 ;Volume 25Description based upon print version of record.3-11-040491-5 3-11-033836-X Includes bibliographical references.Front matter --Preface --Contents --Introduction --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 --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 --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 --BibliographyBack-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).De Gruyter studies in mathematical physics ;Volume 25.Plates (Engineering)VibrationShells (Engineering)VibrationElastic plates and shellsMathematical modelsPlates (Engineering)Vibration.Shells (Engineering)Vibration.Elastic plates and shellsMathematical models.629.132/362UF 4700SEPArvkAlgazin Sergeĭ D.1949-1524221Kiïko I. A(Igor' Anatol'evich),MiAaPQMiAaPQMiAaPQBOOK9910788819503321Aeroelastic vibrations and stability of plates and shells3764860UNINA