... extrapolation frequency response Monte Carlo methods plates (structures) statistical analysis structural acoustics vibrations Uncertainty in real engineering structures has an important impact on the way dynamic models are used for sensitivity assessment, both at initial design stage...

... ). 21 09 2010 14 03 2011 26 07 2011 26 07 2011 acoustic wave propagation algebra beams (structures) composite materials frequency response Monte Carlo methods structural acoustics transient response Weibull distribution Composite structures provide opportunities...

... . Meirovitch , L. , 1975 , Elements of Vibration Analysis , 2nd ed. , McGraw-Hill , Boston . Metropolis , N. , and Ulam , S. , 1949 , “ The Monte Carlo Method ,” J. Am. Stat. Assoc. 0003-1291 , 44 ( 247 ), pp. 335 – 341 . 10.2307/2280232 Gentle , J. E. , 1998 , Random...

.... Tests performed in series show a significant variability in the response of the system. A statistical simulation based on a Monte Carlo method is then employed. The results show that the dispersions of the coefficient of friction and of the damping allow simulating faithfully the dynamical behavior...

... case (dotted line), with traditional absorber case (gray solid line), and with network case (black solid line) under engine order 2 excitation 24 08 2007 01 02 2008 18 02 2009 aerodynamics blades discs (structures) engines fatigue Monte Carlo methods piezoelectric...

..., it is difficult to directly apply the method of FPK equation. strongly nonlinear oscillator wide-band noise stochastic averaging Monte Carlo simulation stochastic jump P-bifurcation bifurcation damping Fokker-Planck equation harmonics Monte Carlo methods nonlinear dynamical systems...

... discs (structures) engines inductors Monte Carlo methods piezoelectric devices resistors vibration control piezoelectric network vibration suppression bladed disk negative capacitance Periodic structures have wide applications in many engineering systems, such as truss beam...

... processes Monte Carlo methods maximum entropy methods Hermitian matrices extreme value distribution Von Mises stress non-Gaussian random process maximum entropy method Laguerre series expansion Gram-Charlier series expansion According to the failure theory based on the Von Mises yield...

... in the linearization model. Finally, the performance of the present linearization model is compared and supported by employing two examples with exact solutions, Monte Carlo simulations, and Gaussian linearization method. Gaussian processes Monte Carlo methods maximum entropy methods stochastic systems...

... controls that render the exact stationary PDF of the response to assist the evaluation of the response moments in the design of covariance controls. covariance analysis nonlinear dynamical systems stochastic systems Monte Carlo methods optimisation maximum entropy methods nonlinear control...

... to represent the nonlinearity and their respective goodness-of-fit to the data. The methodology is illustrated using two examples, one of which comes from experimental data. nonlinear dynamical systems Bayes methods identification Markov processes Monte Carlo methods The importance of diagnosing...

.... 01 October 2001 01 June 2002 20 09 2002 stochastic processes vibrations nonlinear dynamical systems autoregressive moving average processes Monte Carlo methods Failure of rotary oil-well drilling downhole tools is one of the most prevalent drilling problems...

... for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received Feb. 2000; revised Aug. 2000. Associate Editor: L. A. Bergman. 01 Feb 2000 01 Aug 2000 relaxation bifurcation Monte Carlo methods random processes vibrations elasticity partial differential equations...