... peaks. 21 08 2007 15 07 2008 05 01 2009 acoustic intensity beams (structures) elastic waves finite element analysis frequency response matrix algebra plates (structures) random processes structural acoustics vibrations structural intensity finite element...

...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...

... stochastic processes prediction theory random processes mathematical operators Regardless of the unprecedented computational power many important problems in science and engineering have been left unresolved for several decades. These problems are so complex and huge that our computational...

... and these properties are afforded. These new analytical representations of the mean-square calculation can provide significant insight into dynamic system response and optimal design/tuning of dynamic systems. 16 06 2005 22 02 2007 random processes vibrations transfer function matrices state-space...

... the modal stiffness of each blade as a random variable. The validity of the polynomial chaos method has been corroborated by comparison with the results from numerical simulations. chaos vibrations structural acoustics random processes PDF of the maximum amplitude, A r max...

... is a stationary, non-Gaussian random process. The number of times the process crosses a specified threshold in a given duration, is modeled as a Poisson random variable. The determination of the parameter of this model, in turn, requires the knowledge of the joint probability density function of the Von Mises...

... and measured intensity fields are presented and examined. Differences between the character of randomly and point-excited plates are discussed. plates (structures) bending elastic waves pressure excited states random processes vibrations Doppler measurement modelling damping 11 08...

... expression contains two parts, namely, zero state and zero input. For a stochastic analysis, the input force is treated as a random process with specified mean and correlation functions. An expectation operator is applied on a set of expressions to obtain the stochastic characteristics of the system. Closed...

... . Manuscript received May 2000; revised March 2002. Associate Editor: J. H. Ginsberg. 01 May 2000 01 March 2002 20 09 2002 underwater sound cavitation nonlinear acoustics vibrations acoustic signal processing random processes acoustic pulses The cavitation process...

... of Laplace transforms of convolution integrals are used to write a set of general Duhamel integral type expressions for the response of the system. The general response contains two parts, namely zero state and zero input. For a stochastic analysis, the input force is treated as a random process...

... aircraft testing helicopters machine bearings vibration isolation vibrations fault diagnosis random processes Gears and rolling element bearings are critical elements in complex machinery to which predictive maintenance is often applied. The benefit of using...

... two levels corresponding to the two extreme values of the torsion stiffness parameter. As the relaxation slope parameter increases, the mean square response switches to a higher level at an earlier time. The corresponding correlation function resembles the case of modulated narrow band random process...

...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...

..., the calculation of von Mises stress is straightforward, as is the resulting calculation of reliability. For loads modeled as random processes, the task is different; the response to such loads is itself a random process and its properties must be determined in terms of those of both the loads and the system...