LEADER 02848nam 2200493 450 001 996466753903316 005 20210311123844.0 010 $a3-030-54136-3 024 7 $a10.1007/978-3-030-54136-1 035 $a(CKB)4100000011585939 035 $a(DE-He213)978-3-030-54136-1 035 $a(MiAaPQ)EBC6403585 035 $a(PPN)25250769X 035 $a(EXLCZ)994100000011585939 100 $a20210311d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aAcoustics and vibration of mechanical structures - AVMS 2019 $eproceedings of the 15th AVMS, Timisoara, Romania, May 30-31, 2019 /$fNicolae Herisanu, Vasile Marinca, editors 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (XXI, 533 p. 365 illus., 305 illus. in color.) 225 1 $aSpringer proceedings in physics ;$vVolumes 251 311 $a3-030-54135-5 327 $aAnalytical approaches to nonlinear noise and vibration problems -- Environmental and occupational noise -- Structural vibration -- Biomechanics and bioacoustics -- Vibration problems in industrial processes -- Experimental approaches to vibration problems. 330 $aThis book contains selected and expanded contributions presented at the 15th Conference on Acoustics and Vibration of Mechanical Structures held in Timisoara, Romania, May 30-31, 2019. The conference focused on a broad range of topics related to acoustics and vibration, such as analytical approaches to nonlinear noise and vibration problems, environmental and occupational noise, structural vibration, biomechanics and bioacoustics, as well as experimental approaches to vibration problems in industrial processes. The different contributions also address the analytical, numerical and experimental techniques applicable to analyze linear and non-linear noise and vibration problems (including strong nonlinearity) and they are primarily intended to emphasize the actual trends and state-of-the-art developments in the above mentioned topics. The book is meant for academics, researchers and professionals, as well as PhD students concerned with various fields of acoustics and vibration of mechanical structures. 410 0$aSpringer proceedings in physics ;$vVolume 251. 606 $aVibration$vCongresses 606 $aMechanics, Analytic$vCongresses 615 0$aVibration 615 0$aMechanics, Analytic 676 $a620.3 702 $aHerisanu$b Nicolae 702 $aMarinca$b Vasile 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466753903316 996 $aAcoustics and vibration of mechanical structures - AVMS 2019$92809386 997 $aUNISA LEADER 04332nam 22007095 450 001 9910299778503321 005 20211028142104.0 010 $a3-319-11026-8 024 7 $a10.1007/978-3-319-11026-4 035 $a(CKB)3710000000311622 035 $a(EBL)1968164 035 $a(OCoLC)908088884 035 $a(SSID)ssj0001408243 035 $a(PQKBManifestationID)11914747 035 $a(PQKBTitleCode)TC0001408243 035 $a(PQKBWorkID)11346944 035 $a(PQKB)11178496 035 $a(DE-He213)978-3-319-11026-4 035 $a(MiAaPQ)EBC1968164 035 $a(PPN)183153545 035 $a(EXLCZ)993710000000311622 100 $a20141201d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElementary Symplectic Topology and Mechanics /$fby Franco Cardin 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (237 p.) 225 1 $aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v16 300 $aDescription based upon print version of record. 311 $a3-319-11025-X 320 $aIncludes bibliographical references. 327 $aBeginning -- Notes on Differential Geometry -- Symplectic Manifolds -- Poisson brackets environment -- Cauchy Problem for H-J equations -- Calculus of Variations and Conjugate Points -- Asymptotic Theory of Oscillating Integrals -- Lusternik-Schnirelman and Morse -- Finite Exact Reductions -- Other instances -- Bibliography. 330 $aThis is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré's last geometric theorem and the Arnol'd conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects. 410 0$aLecture Notes of the Unione Matematica Italiana,$x1862-9113 ;$v16 606 $aMathematical physics 606 $aGeometry, Differential 606 $aCalculus of variations 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 615 0$aMathematical physics. 615 0$aGeometry, Differential. 615 0$aCalculus of variations. 615 14$aMathematical Physics. 615 24$aDifferential Geometry. 615 24$aCalculus of Variations and Optimal Control; Optimization. 676 $a510 676 $a515.64 676 $a516.36 676 $a530.15 700 $aCardin$b Franco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0722324 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299778503321 996 $aElementary Symplectic Topology and Mechanics$91564840 997 $aUNINA