國立虎尾科技大學 |

Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells/ by Isaac Elishakoff.
Author:	Elishakoff, Isaac.
Description:	XXIII, 338 p. 79 illus., 28 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Vibration. -
Online resource:	https://doi.org/10.1007/978-3-030-40394-2
ISBN:	9783030403942

Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells
Elishakoff, Isaac.

Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells[electronic resource] /by Isaac Elishakoff. - 1st ed. 2020. - XXIII, 338 p. 79 illus., 28 illus. in color.online resource.

Preface -- 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.

This 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 .

ISBN: 9783030403942

Standard No.: 10.1007/978-3-030-40394-2doiSubjects--Topical Terms:

595749
Vibration.

LC Class. No.: TA355

Dewey Class. No.: 620

Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells
LDR:03313nam a22004095i 4500 001 1025919
003 DE-He213
005 20200704065424.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030403942 $9 978-3-030-40394-2
024 7 $a 10.1007/978-3-030-40394-2 $2 doi
035 $a 978-3-030-40394-2
050 4 $a TA355
050 4 $a TA352-356
072 7 $a TGMD4 $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 620 $2 23
100 1 $a Elishakoff, Isaac. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 636325
245 1 0 $a Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells $h [electronic resource] / $c by Isaac Elishakoff.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a XXIII, 338 p. 79 illus., 28 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Preface -- 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.
520 $a This 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 .
650 0 $a Vibration. $3 595749
650 0 $a Dynamical systems. $3 1249739
650 0 $a Dynamics. $3 592238
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Aerospace engineering. $3 686400
650 0 $a Astronautics. $3 646219
650 0 $a Automotive engineering. $3 1104081
650 1 4 $a Vibration, Dynamical Systems, Control. $3 670825
650 2 4 $a Solid Mechanics. $3 1211586
650 2 4 $a Aerospace Technology and Astronautics. $3 683885
650 2 4 $a Automotive Engineering. $3 683772
650 2 4 $a Classical Mechanics. $3 1140387
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030403935
776 0 8 $i Printed edition: $z 9783030403959
776 0 8 $i Printed edition: $z 9783030403966
856 4 0 $u https://doi.org/10.1007/978-3-030-40394-2
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)