... the stationary response probability density of strongly nonlinear oscillators under combined harmonic and wide-band noise excitations. By using generalized harmonic functions, a new stochastic averaging procedure for estimating stationary response probability density of strongly nonlinear oscillators under...

...Sayan Gupta; P. H. A. J. M. van Gelder The problem of approximating the probability distribution of peaks, associated with a special class of non-Gaussian random processes, is considered. The non-Gaussian processes are obtained as nonlinear combinations of a vector of mutually correlated...

... (related to the uncertain master structure with a fixed coupling interface), which is likely to couple with the acoustic mode of the internal cavity in vacuo, is uncertain. The width of the support corresponding to the probability distribution of its corresponding structural eigenvalue is an increasing...

...Shih-Hsun Yin; Bogdan I. Epureanu This paper demonstrates two novel methods for identifying small parametric variations in an experimental system based on the analysis of sensitivity vector fields (SVFs) and probability density functions (PDFs). The experimental system includes a smart sensing beam...

...A. Preumont; X. Pitoiset [S0739-3717(00)00504-3] stress analysis probability vibrations random processes In their recent paper 1 Segalman and coauthors estimate the probability distribution for the von Mises stress resulting from Gaussian random loadings of zero mean. Although...

...Dan Segalman,; Garth Reese,; Richard Field,, Jr., and; Clay Fulcher [S0739-3717(00)01404-5] probability stress analysis random processes vibrations fatigue The core issue raised by Preumont and Pitoiset is the question of why one would be interested in von Mises stress—as ordinarily...

.... This has been done in the past by Monte Carlo sampling of numerical realizations that reproduce the second order statistics of the problem. Here, we present a method that provides analytic expressions for the probability distributions of von Mises stress which can be evaluated efficiently and with good...