LEADER 04266nam 2200709 450 001 9910464458203321 005 20210515003044.0 010 $a1-68015-770-1 010 $a3-11-038945-2 010 $a3-11-033837-8 024 7 $a10.1515/9783110338379 035 $a(CKB)3360000000515109 035 $a(EBL)1663201 035 $a(SSID)ssj0001401337 035 $a(PQKBManifestationID)11890561 035 $a(PQKBTitleCode)TC0001401337 035 $a(PQKBWorkID)11344673 035 $a(PQKB)10963062 035 $a(MiAaPQ)EBC1663201 035 $a(DE-B1597)214658 035 $a(OCoLC)898769809 035 $a(DE-B1597)9783110338379 035 $a(PPN)187994501 035 $a(Au-PeEL)EBL1663201 035 $a(CaPaEBR)ebr11010283 035 $a(CaONFJC)MIL808095 035 $a(EXLCZ)993360000000515109 100 $a20150204h20152015 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aAeroelastic vibrations and stability of plates and shells /$fSergey D. Algazin, Igor A. Kijko 210 1$aBerlin, Germany :$cDe Gruyter,$d2015. 210 4$dİ2015 215 $a1 online resource (234 p.) 225 1 $aDe Gruyter Studies in Mathematical Physics,$x2194-3532 ;$vVolume 25 300 $aDescription based upon print version of record. 311 $a3-11-040491-5 311 $a3-11-033836-X 320 $aIncludes bibliographical references. 327 $tFront matter --$tPreface --$tContents --$tIntroduction --$t1. Statement of the problem --$t2. Determination of aerodynamic pressure --$t3. Mathematical statement of problems --$t4. Reduction to a problem on a disk --$t5. Test problems --$t6. Rectangular plate --$t7. Flutter of a rectangular plate of variable stiffness or thickness --$t8. Viscoelastic plates --$t9. General formulation --$t10. Determination of aerodynamic pressure --$t11. The shallow shell as part of an airfoil --$t12. The shallow shell of revolution --$t13. The conical shell: external flow --$t14. The conical shell: internal flow --$t15. Example calculations --$t16. Discretization of the Laplace operator --$t17. Discretization of linear equations in mathematical physics with separable variables --$t18. Eigenvalues and eigenfunctions of the Laplace operator --$t19. Eigenvalues and eigenfunctions of a biharmonic operator --$t20. Eigenvalues and eigenfunctions of the Laplace operator on an arbitrary domain --$t21. Eigenvalues and eigenfunctions of a biharmonic operator on an arbitrary domain --$t22. Error estimates for eigenvalue problems --$tConclusion --$tBibliography 330 $aBack-action of aerodynamics onto structures such as wings cause vibrations and may resonantly couple to them, thus causing instabilities (flutter) and endangering the whole structure. By careful choices of geometry, materials and damping mechanisms, hazardous effects on wind engines, planes, turbines and cars can be avoided. Besides an introduction into the problem of flutter, new formulations of flutter problems are given as well as a treatise of supersonic flutter and of a whole range of mechanical effects. Numerical and analytical methods to study them are developed and applied to the analysis of new classes of flutter problems for plates and shallow shells of arbitrary plane form. Specific problems discussed in the book in the context of numerical simulations are supplemented by Fortran code examples (available on the website). 410 0$aDe Gruyter studies in mathematical physics ;$vVolume 25. 606 $aPlates (Engineering)$xVibration 606 $aShells (Engineering)$xVibration 606 $aElastic plates and shells$xMathematical models 608 $aElectronic books. 615 0$aPlates (Engineering)$xVibration. 615 0$aShells (Engineering)$xVibration. 615 0$aElastic plates and shells$xMathematical models. 676 $a629.132/362 700 $aAlgazin$b Sergei? D.$f1949-$01053302 702 $aKii?ko$b I. 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