LEADER 04769nam 22007215 450 001 9910299697903321 005 20220207193053.0 010 $a3-319-13767-0 024 7 $a10.1007/978-3-319-13767-4 035 $a(CKB)3710000000356735 035 $a(EBL)1973940 035 $a(SSID)ssj0001452124 035 $a(PQKBManifestationID)11834519 035 $a(PQKBTitleCode)TC0001452124 035 $a(PQKBWorkID)11479659 035 $a(PQKB)10394710 035 $a(DE-He213)978-3-319-13767-4 035 $a(MiAaPQ)EBC1973940 035 $a(PPN)184496578 035 $a(EXLCZ)993710000000356735 100 $a20150207d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aVibrations and Stability of Complex Beam Systems /$fby Vladimir Stojanovi?, Predrag Kozi? 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (170 p.) 225 1 $aSpringer Tracts in Mechanical Engineering,$x2195-9862 300 $a"First author: to my family." 311 1 $a3-319-13766-2 327 $aIntroductory remarks -- Free vibrations and stability of an elastically connected double-beam system -- Effects of axial compression forces, rotary inertia and shear on forced vibrations of the system of two elastically connected beams -- Static and stochastic stability of an elastically connected beam system on an elastic foundation -- The effects of rotary inertia and transverse shear on the vibration and stability of the elastically connected Timoshenko beam-system on elastic foundation -- The effects of rotary inertia and transverse shear on vibration and stability of the system of elastically connected Reddy-Bickford beams on elastic foundation -- Geometrically non-linear vibration of Timoshenko damaged beams using the new p?version of finite element method.  . 330 $a This book reports on solved problems concerning vibrations and stability of complex beam systems. The complexity of a system is considered from two points of view: the complexity originating from the nature of the structure, in the case of two or more elastically connected beams; and the complexity derived from the dynamic behavior of the system, in the case of a damaged single beam, resulting from the harm done to its simple structure. Furthermore, the book describes the analytical derivation of equations of two or more elastically connected beams, using four different theories (Euler, Rayleigh, Timoshenko and Reddy-Bickford). It also reports on a new, improved p-version of the finite element method for geometrically nonlinear vibrations. The new method provides more accurate approximations of solutions, while also allowing us to analyze geometrically nonlinear vibrations. The book describes the appearance of longitudinal vibrations of damaged clamped-clamped beams as a result of discontinuity (damage). It describes the cases of stability in detail, employing all four theories, and provides the readers with practical examples of stochastic stability. Overall, the book succeeds in collecting in one place theoretical analyses, mathematical modeling and validation approaches based on various methods, thus providing the readers with a comprehensive toolkit for performing vibration analysis on complex beam systems. 410 0$aSpringer Tracts in Mechanical Engineering,$x2195-9862 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aComputer science$xMathematics 606 $aArchitecture 606 $aBuilding 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 606 $aBuilding Construction and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/T23012 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aComputer science$xMathematics. 615 0$aArchitecture. 615 0$aBuilding. 615 14$aVibration, Dynamical Systems, Control. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aBuilding Construction and Design. 676 $a518 676 $a620 676 $a690 700 $aStojanovi?$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720837 702 $aKozi?$b Predrag$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910299697903321 996 $aVibrations and Stability of Complex Beam Systems$92521955 997 $aUNINA