LEADER 03065nam 22006015 450 001 9910337659203321 005 20200706022430.0 010 $a3-030-00991-2 024 7 $a10.1007/978-3-030-00991-5 035 $a(CKB)4100000007110689 035 $a(MiAaPQ)EBC5598605 035 $a(DE-He213)978-3-030-00991-5 035 $a(PPN)23146214X 035 $a(EXLCZ)994100000007110689 100 $a20181030d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEigenvalue and Eigenvector Problems in Applied Mechanics /$fby Sorin Vlase, Marin Marin, Andreas Öchsner 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (262 pages) 225 1 $aAdvanced Structured Materials,$x1869-8433 ;$v96 311 $a3-030-00990-4 327 $aQuadratic Forms -- Rigid Body Dynamics -- Continuum Mechanics. Strain and Stress Tensor -- Modal Analysis -- Stability (Elastic and Dynamic) -- Dynamical Systems. 330 $aThis book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications. 410 0$aAdvanced Structured Materials,$x1869-8433 ;$v96 606 $aMechanics 606 $aMechanics, Applied 606 $aMatrix theory 606 $aAlgebra 606 $aEngineering mathematics 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094 606 $aEngineering Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/T11030 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMatrix theory. 615 0$aAlgebra. 615 0$aEngineering mathematics. 615 14$aSolid Mechanics. 615 24$aLinear and Multilinear Algebras, Matrix Theory. 615 24$aEngineering Mathematics. 676 $a512.9436 700 $aVlase$b Sorin$4aut$4http://id.loc.gov/vocabulary/relators/aut$0999621 702 $aMarin$b Marin$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aÖchsner$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910337659203321 996 $aEigenvalue and Eigenvector Problems in Applied Mechanics$92294624 997 $aUNINA