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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浮雕

Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation,l as in terms of cross-correlations between the modes of two groups. In addition, the two-span beam experiences the clustering of frequencies with increased modal density. The effect of cross-correlations between the modal responses corresponding to closely spaced natural frequencies turns out to be extremely significant.

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Random Vibrations of Orthotropic Plates,rse correlation coefficients which depend on frequency and separation distance. When the approximate method presented here is applied to cases capable of closed solutions (i.e. plates having a pair of opposite edges simply supported), the result coincides with that obtained by the classical normal-mode approach.

取之不竭

Book 2020seas, 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

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PALMY

Religion in Global Perspective,ting 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%.

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biosphere

Religion in Global Perspective,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

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sigmoid-colon

Religion in Global Perspective,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