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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Religion in Global Perspective,d which is uniform around the circumference and random in time. The time history of loading is taken to be a stationary wide-band random process. The shell response is essentially one-dimensional but differs qualitatively and quantitatively from the response distributions for point-excited uniform s

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ACME

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Normal-Mode Approach in Random Vibrations,direct and cross-correlations. The effect of cross-correlations is elucidated in the example of two-degree-of-freedom system with equal natural frequencies. Mohr’s circles are constructed to the mean-square values of the system. It is shown that neglect of cross-correlations results in a large error.

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Agronomy

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.

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Turbulent Flow-Excited Vibrations of a Shallow Cylindrical Shell,pproach is applied. The existence of two coincidence frequencies is established. Then we discuss the turbulent layer excitation of a shell containing acoustic medium to evaluate noise levels in supersonic aircraft.

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On the Role of Cross-Correlations in the Random Vibrations of Spherical Shells,blems. The conditions of negligibility of the cross-terms are derived for a shell with hysteretic damping. It is shown that for a spherically curved panel omission of cross-correlations leads to an incorrect estimate of the mean square of displacements. This is due to closeness of the eigenfrequencies . and the consequent high modal density.

Frequency-Range

Dramatic Effect of Cross-Correlations in Random Vibration of Point-Driven Flat Plate and Sphericalle large-scale combined analytical and numerical calculations. The spherical panel is subjected to concentrated random force representing, time-wise, widely stationary random process. It is shown that the cross-correlations that are usually neglected in the literature have a dramatic effect.