... 2010 22 08 2011 22 08 2011 elasticity finite element analysis nonparametric statistics reduced order systems shapes (structures) stochastic processes It should be noted that our objective is not to exactly construct the “global” elastic modes and the “local” elastic modes...

... was demonstrated through a few application examples. 05 11 2010 23 12 2010 12 01 2011 16 02 2011 16 02 2011 ballistics impact (mechanical) projectiles statistical analysis stochastic processes weapons Ballistic dispersion is one of the important metrics that has been...

... with one critical mode and one asymptotically stable mode driven by a small intensity stochastic process. We obtain a general asymptotic approximation for the maximal Lyapunov exponent for this four dimensional system and explain how the stochastic components that couple the critical and stable modes play...

... excitation. damping Fokker-Planck equation impact (mechanical) stochastic processes white noise 26 07 2009 25 07 2010 09 09 2010 04 11 2010 04 11 2010 2011 American Society of Mechanical Engineers ...

... other, and the classical stochastic linearization scheme, to determine their efficacy. 10 01 2008 13 04 2009 25 03 2010 25 03 2010 linearisation techniques nonlinear dynamical systems stochastic processes Stochastic nonlinear dynamics has reached the level...

... 2007 19 09 2009 22 01 2010 22 01 2010 Monte Carlo methods oscillators stochastic processes white noise nonlinear oscillator generalized FPK equation probability density function Poisson white noise Poisson white noise represents a discrete excitation process...

...Cláudio R. Ávila da Silva, Jr.; Giuseppe Pintaude; Hazim Ali Al-Qureshi; Marcelo Alves Krajnc In this paper the Archard model and classical results of mean square calculus are used to derive two Cauchy problems in terms of the expected value and covariance of the worn height stochastic process...

... 2009 damping eigenvalues and eigenfunctions Lyapunov methods method of moments noise partial differential equations resonance stability stochastic processes parametric resonance moment Lyapunov exponents bounded noise The equations of motion for many engineering problems...

... that the SRC model can also be extended to third- and higher-order simulations of non-Gaussian stochastic processes such as wind pressure, ocean waves, and earthquake accelerations, which is an important research direction for high fidelity simulation of physical processes. 28 09 2005 09 01 2007...

... 2007 14 11 2007 15 07 2008 aggregates (materials) boundary-value problems continuum mechanics stochastic processes thermodynamics viscoplasticity homogenization random polycrystals representative volume element (RVE) bounds plasticity The motivation of this study...

..., pp. 115 – 138 . 21 02 2007 25 02 2008 02 07 2008 finite element analysis plasticity stochastic processes texture polycrystal plasticity planar polycrystal stochastic Taylor model Kuramoto model Crystallographic textures, which evolve during...

... Liapunov functional method, almost sure asymptotic stability conditions are obtained as the function of stochastic process variance, damping coefficient, and geometric and physical parameters of the band. Numerical calculations are performed for infinite mode and compared with known results. Almost sure...

... processes stochastic processes structural engineering robust design model uncertainties structural dynamics It is known that the accuracy of the dynamical responses predictions in computational mechanics is mainly related to the level of model and data uncertainties. For this reason...

... strength of the laminated plates is studied. Parametric studies are carried out to see the effect of hole size, layups, and boundary conditions on the mean and variance of plate buckling strength. 06 03 2006 19 09 2006 plates (structures) finite element analysis stochastic processes...

... the statistical properties of the strength, a large number of experiments must be performed, involving the measurement of strains and stresses. This task becomes extremely complex on the micro-nano-scale. rods (structures) beams (structures) stochastic processes brittleness bending statistical...

... the LES still inapplicable to solving flows at very high Reynolds and Rayleigh numbers. Navier-Stokes equations flow simulation Benard convection magnetohydrodynamics stochastic processes boundary layer turbulence 16 02 2004 02 10 2005 Comparison of the computed integral...

... eigenvalues and eigenfunctions stochastic processes construction components partial differential equations noise The moment Lyapunov exponent of the two-dimensional system 19 under real noise excitation 21 is governed by the eigenvalue problem 31 . The coefficients of Eq. 31 are periodic...

... . Îto , K. , 1951 , “ On Stochastic Differential Equations ,” Mem. Am. Math. Soc. 0065-9266 , 4 . Doob , J. L. , 1953 , Stochastic Processes , Academic , New York. Adomain , G. , 1976 , “ Nonlinear Stochastic Differential Equations ,” J. Math. Anal. Appl. 0022-247X...

... is shown in Fig. 1 . 1 A sample path of the stochastic process Z t . × : N μ -driven points, ○: N ν -driven points. Assume that all durations are identically, negative exponential distributed random variables T d with the probability...

..., CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 30 January 2002 18 March 2004 27 01 2005 nonlinear dynamical systems stochastic processes Galerkin method stochastic systems...