LEADER 04643nam 22007335 450 001 9910392741203321 005 20250609112508.0 010 $a3-030-40394-7 024 7 $a10.1007/978-3-030-40394-2 035 $a(CKB)4100000010953878 035 $a(DE-He213)978-3-030-40394-2 035 $a(MiAaPQ)EBC6174005 035 $a(PPN)243763522 035 $a(MiAaPQ)EBC6174038 035 $a(EXLCZ)994100000010953878 100 $a20200411d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells /$fby Isaac Elishakoff 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XXIII, 338 p. 79 illus., 28 illus. in color.) 311 08$a3-030-40393-9 320 $aIncludes bibliographical references and index. 327 $aPreface -- Introduction -- Random Vibration of System with Finitely Many Degrees of Freedom and Several Coalescent Natural Frequencies -- Random Vibration of a Vehicle Model -- Hybrid Optimization and Anti-Optimization -- of a Stochastically Excited Beam -- Random Vibration of a Point-Driven Two-Span Beam -- on an Elastic Foundation -- Random Vibrations of Orthotropic Plates -- Wide-Band Random Axisymmetric Vibration of Cylindrical Shells -- Turbulent Flow-Excited Vibrations of a Shallow Cylindrical Shell -- On the Role of Cross-Correlations in the Random Vibrations -- of Spherical Shells -- Dramatic Effect of Cross Correlations in Random Vibration of Point-Driven Flat Plate and Spherically Curved Panel -- Appendix A. The Effect of the Eigenvectors Associated With the Repeated Frequencies. 330 $aThis volume explains the dramatic effect of cross-correlations in forming the structural response of aircraft in turbulent excitation, ships in rough seas, cars on irregular roads, and other dynamic regimes. It brings into sharp focus the dramatic effect of cross correlations often neglected due to the analytical difficulty of their evaluation. Veteran author Professor Isaac Elishakoff illustrates how neglect of cross correlations could result in underestimation of the response by tens or hundreds of percentages the effect of the random vibrations of structures? main elements, including beams, plates, and shells. Clarifies the common misconception that natural frequencies of structures are well apart from each other; Illustrates that the interaction of associated modes in plates can dramatically alter the random response due to presence of coinciding frequencies; Demonstrates that natural frequencies in beams on elastic foundation, as well as cylindrical or spherical shells, might cluster together resulting in substantial percentage error if cross-correlations are ignored . 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aMechanics 606 $aMechanics, Applied 606 $aAerospace engineering 606 $aAstronautics 606 $aAutomotive engineering 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aAerospace Technology and Astronautics$3https://scigraph.springernature.com/ontologies/product-market-codes/T17050 606 $aAutomotive Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T17047 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aAerospace engineering. 615 0$aAstronautics. 615 0$aAutomotive engineering. 615 14$aVibration, Dynamical Systems, Control. 615 24$aSolid Mechanics. 615 24$aAerospace Technology and Astronautics. 615 24$aAutomotive Engineering. 615 24$aClassical Mechanics. 676 $a620.3 700 $aElishakoff$b Isaac$4aut$4http://id.loc.gov/vocabulary/relators/aut$031244 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910392741203321 996 $aDramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells$92529884 997 $aUNINA