LEADER 03241nam 2200505 450 001 9910467624703321 005 20200520144314.0 010 $a3-11-051625-X 024 7 $a10.1515/9783110516449 035 $a(CKB)4100000001044520 035 $a(MiAaPQ)EBC5155996 035 $a(DE-B1597)472933 035 $a(OCoLC)1013827111 035 $a(DE-B1597)9783110516449 035 $a(Au-PeEL)EBL5155996 035 $a(CaPaEBR)ebr11473937 035 $a(EXLCZ)994100000001044520 100 $a20171226h20182018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDynamics of solid structures $emethods using integrodifferential relations /$fGeorgy V. Kostin and Vasily V. Saurin 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cWalter de Gruyter GmbH,$d2018. 210 4$dİ2018 215 $a1 online resource (288 pages) $cillustrations 311 $a3-11-051623-3 311 $a3-11-051644-6 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tPreface -- $tBasic notation -- $tContents -- $t1. Introduction -- $t2. Generalized formulations of parabolic and hyperbolic problems -- $t3. Variational principles in linear elasticity -- $t4. Variational statements in structural mechanics -- $t5. Ritz method for initial-boundary value problems -- $t6. Variational and projection techniques with semi-discretization -- $t7. Integrodifferential approach to eigenvalue problems -- $t8. Spatial vibrations of elastic beams with convex cross-sections -- $t9. Double minimization in optimal control problems -- $t10. Semi-discrete approximations in inverse dynamic problems -- $t11. Modeling and control in mechatronics -- $tA. Vectors and tensors -- $tB. Sobolev spaces -- $tBibliography -- $tIndex 330 $aThis monograph covers new variational and projection methods to study the dynamics within solid structures. To cope with the underlying initial-boundary value problems, the method of integrodifferential relations is employed. Applications and examples in physics, mechanics and control engineering range from natural vibrations or forced motions of elastic and viscoelastic bodies to heat and mass transfer processes. ContentsGeneralized formulations of parabolic and hyperbolic problemsVariational principles in linear elasticityVariational statements in structural mechanicsRitz method for initial-boundary value problemsVariational and projection techniques with semi-discretizationIntegrodifferential approach to eigenvalue problemsSpatial vibrations of elastic beams with convex cross-sectionsDouble minimization in optimal control problemsSemi-discrete approximations in inverse dynamic problemsModeling and control in mechatronics 606 $aSurfaces (Physics)$xOptical properties 608 $aElectronic books. 615 0$aSurfaces (Physics)$xOptical properties. 676 $a530.427 700 $aKostin$b Georgy V.$01053609 702 $aSaurin$b V. V. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467624703321 996 $aDynamics of solid structures$92485601 997 $aUNINA