... 20 09 2010 20 09 2010 22 08 2011 22 08 2011 elasticity finite element analysis nonparametric statistics reduced order systems shapes (structures) stochastic processes Linearized vibrations of conservative structures and structural modes (or elastic modes) play...

... 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...

... linearly and nonlinearly coupled van der Pol oscillators and two-degree-of-freedom vibro-impact system, are given to illustrate the application and validity of the proposed method. damping Fokker-Planck equation impact (mechanical) stochastic processes white noise While Gaussian white noise...

... the equality of the mean-square values of the nonlinear force and its linear counterpart. linearisation techniques nonlinear dynamical systems stochastic processes 10 01 2008 13 04 2009 25 03 2010 25 03 2010 2010 American Society of Mechanical Engineers ...

... 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 as a sequence of independent, identically distributed pulses...

...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...

..., β i and ω i are the i th damping constant and the circular natural frequency, respectively, and ζ ( t ) is a stochastic process describing the excitation. A systematic study of moment Lyapunov exponents is presented by Arnold et al. ( 6 ) for linear Itô...

... 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...

...) boundary-value problems continuum mechanics stochastic processes thermodynamics viscoplasticity Statistical Homogeneity and Ergodicity . The methodology outlined works provided the hypotheses of spatial homogeneity and ergodicity hold for any spatial material random field Θ ( x , ω...

... method when using representative standard deviations. finite element analysis plasticity stochastic processes texture polycrystal plasticity planar polycrystal stochastic Taylor model Kuramoto model Mean-field polycrystal plasticity models describe the aggregate response...

... 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...

... minimisation random processes stochastic processes structural engineering 12 01 2006 02 07 2007 20 02 2008 2008 American Society of Mechanical Engineers ...

... 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...

... (structures) beams (structures) stochastic processes brittleness bending statistical distributions The probabilistic nature of strength in brittle materials has been studied extensively ( 1 ). Large dispersion, coupled with size effects were observed in ceramics, concrete, rocks, and other...

... 2005 Navier-Stokes equations flow simulation Benard convection magnetohydrodynamics stochastic processes boundary layer turbulence Because of the unsurmountable resolution problem of extremely thin wall boundary layers, large-eddy simulations (LES) of thermal and magnetic convection...

... and Vedula ( 4 ) obtained a general asymptotic approximation for the moment Lyapunov exponent and the Lyapunov exponent for a four-dimensional system with one critical mode and another asymptotically stable mode driven by a small intensity stochastic process. Sri Namachchivaya and Van Roessel ( 5 ) studied...

... , r ( t ) Γ u 1 , u 2 , 0 ( t ) . 15 09 2004 31 05 2005 nonlinear differential equations partial differential equations stochastic processes diffusion Korteweg-de Vries equation method of moments A large class of physical systems...

... d with the probability density (2) g T d t = μ   exp − μ t , t > 0 . 1 A sample path of the stochastic process Z t . × : N μ -driven points, ○: N ν -driven points. Let us consider the stochastic...

..., 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...