...M. Eriten; A. A. Polycarpou; L. A. Bergman The effect of roughness on the frictional energy dissipation in fretting contact of nominally flat rough surfaces is studied. The contact is modeled as the statistical sum of asperity tip junctions. A mathematical analysis with a probability distribution...

.... This resulted in a solution for the probability density function (PDF) of the response, which was of an intermittent nature indeed due to the specific algorithm of its generation. In the present paper (Paper II), rapid broadband parameter variations are considered, which can be described by the theory of Markov...

... ¯ m − ξ ¯ m c | ≤ Δ A m 0 , | ξ ¯ m − ξ ¯ m c | > Δ A m } where p ( ξ ¯ m ) is the probability density function of ξ ¯ m , each Δ A m is the maximum possible value for the random...

..., some alternatives of it have been suggested. Fuzzy-sets based approaches gain much popularity. There are many discussions on philosophical implications of each of these approaches. Whereas the probabilistic methodology requires the knowledge of probability densities, the fuzzy-sets based approaches...

... of the probability density function is quite sharp and has a large peak value if it is obtained from the surface contacts under a normal load. The profile of the probability density function defined for the contact surface after elastic recovery is quite close to the profile before experiencing contact deformations...

... transformation of probability measures is proposed for nonlinear oscillators driven by additive white-noise processes. The nonlinear part of the drift vector is appropriately decomposed and replaced, resulting in an exactly solvable linear system. The error in replacing the nonlinear terms is then corrected...

... corresponding to a given mean separation. The topographies of a surface obtained from the theoretical prediction of different separations show the probability density function of asperity heights to be no longer the Gaussian distribution. Both the fractal dimension and the topothesy are elevated by increasing...

... stiffness parameters compared with their initial values corresponding to the undamaged structure. By using the proposed probabilistic methodology, the probability of various damage levels in each substructure can be calculated based on the available dynamic data. Examples using a single-degree-of-freedom...

...Rentong Wang; Noriko Katsube; Robert R. Seghi 06 06 2003 18 04 2005 fracture mechanics brittleness cracks failure (mechanical) probability internal stresses bending strength failure analysis Batdorf and Crose ( 1 ) combined the statistical analysis of failure...

... of limit analysis and the methods of reliability theory, algorithms are developed for the computation of upper and lower bounds on the probability of plastic collapse. By varying the magnitude of the fixed load, bounds on the probability distribution function for the collapse load can be computed. Results...

... L 4 by 0.13 percent. The preceeding formulation allows one to perform a stochastic analysis to account for the possible randomness in the material density and elastic modulus. Assume that the coefficients a i form a random vector with a joint probability density...

... of higher-order statistics involving the probability density functions of key system parameters, a reliable measure of the extent of variation of the system influence functions may be obtained. The use of measures of the identified quantities’ dispersion offers a practical method for quantifying...

... that are analyzed in probabilistic setting that deal with either uniform or generic probability density functions for the uncertain variables varying in a rectangular domain. This case has been compared with interval analysis, a particular case of anti-optimization. The presence of a convex, smooth boundary...