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Titlebook: Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and S; Isaac Elishakoff Book 2020 Springer

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发表于 2025-3-21 16:09:18 | 显示全部楼层 |阅读模式
书目名称Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and S
编辑Isaac Elishakoff
视频video
概述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 rando
图书封面Titlebook: Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and S;  Isaac Elishakoff Book 2020 Springer
描述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.
出版日期Book 2020
关键词Cross Correlation; Vibration of a Point-Driven Two-Span Beam; Coalescent Natural Frequencies; Random Vi
版次1
doihttps://doi.org/10.1007/978-3-030-40394-2
isbn_softcover978-3-030-40396-6
isbn_ebook978-3-030-40394-2
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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发表于 2025-3-21 20:15:25 | 显示全部楼层
Wide-Band Random Axisymmetric Vibration of Cylindrical Shells,quare velocity at the driven section due to the modal cross-correlations can be more than three times that due to the modal autocorrelations when the excitation is a band-limited white noise which includes 81 modes.
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Random Vibration of System with Finitely Many Degrees of Freedom and Several Coalescent Natural Freting the natural frequency of a single-degree-of-freedom structure—and all the others, which are coalescent. It is shown that as the number of degrees of freedom tends to infinity, the error introduced by omission of the cross-correlation terms reaches 70%.
发表于 2025-3-22 20:25:58 | 显示全部楼层
Random Vibration of a Vehicle Model,e crucial effect, and their neglect may lead to considerable error in evaluation of mean-square values of the response. In addition, we revisit some discrete systems with coinciding natural frequencies.
发表于 2025-3-22 21:34:17 | 显示全部楼层
Hybrid Optimization and Anti-optimization of a Stochastically Excited Beam,e supports are placed symmetrically with respect to the middle cross section of the beam. We investigate the mean-square displacement of the beam with a view of determining the optimum location of supports so as to minimize the maximum probabilistic response. This study falls in the category of hybr
发表于 2025-3-23 05:09:38 | 显示全部楼层
Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation,2 . on a linear elastic foundation. The normal-mode approach is utilized. The natural frequencies are falling into two groups: the first group corresponds to the beam of length . that is simply supported at its ends; the second group is associated with the beam of length . that is simply supported a
发表于 2025-3-23 09:29:42 | 显示全部楼层
Random Vibrations of Orthotropic Plates,r solving the stochastic boundary value problem, the probabilistically given and sought functions are expressed in terms of series of approximate modes of vibration, which satisfy the boundary conditions but not the field equation. Galerkin’s procedure then yields a set of linear equations for the c
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