Response Probability Analysis of Random Acoustic Field Based on Perturbation Stochastic Method and Change-of-Variable Technique

[1]  Humberto Contreras,et al.  The stochastic finite-element method , 1980 .

[2]  Antonio Carcaterra,et al.  Statistical moments predictions for a moored floating body oscillating in random waves , 2007 .

[3]  G. Stefanou.  The stochastic finite element method: Past, present and future , 2009 .

[4]  Jean-Jacques Sinou,et al.  Stochastic Analysis of the Eigenvalue Problem for Mechanical Systems Using Polynomial Chaos Expansion— Application to a Finite Element Rotor , 2012 .

[5]  M. Kaminski.  On stochastic finite element method for linear elastostatics by the Taylor expansion , 2008 .

[6]  Xiaoting Rui,et al.  Perturbation Finite Element Transfer Matrix Method for Random Eigenvalue Problems of Uncertain Structures , 2012 .

[7]  Costas Papadimitriou,et al.  Approximate Analysis of Response Variability of Uncertain Linear Systems , 1995 .

[8]  P. Dash,et al.  Geometrically Nonlinear Free Vibration of Laminated Composite Plate Embedded With Piezoelectric Layers Having Uncertain Material Properties , 2012 .

[9]  David R Dowling,et al.  A method for approximating acoustic-field-amplitude uncertainty caused by environmental uncertainties. , 2008, The Journal of the Acoustical Society of America.

[10]  Zhan Kang,et al.  Perturbation-based stochastic FE analysis and robust design of inelastic deformation processes , 2006 .

[11]  G. Schuëller,et al.  On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview , 2011 .

[12]  Mattias Schevenels,et al.  Topology optimization with geometric uncertainties by perturbation techniques , 2012 .

[13]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[14]  M. Kaminski,et al.  Optimization of the truss-type structures using the generalized perturbation-based Stochastic Finite Element Method , 2013 .

[15]  H. Cox,et al.  A Tactical Approach to Environmental Uncertainty and Sensitivity , 2006, IEEE Journal of Oceanic Engineering.

[17]  S. Adhikari.  Doubly Spectral Stochastic Finite-Element Method for Linear Structural Dynamics , 2011 .

[18]  Pekeris waveguide comparisons of methods for predicting acoustic field amplitude uncertainty caused by a spatially uniform environmental uncertainty (L). , 2011, The Journal of the Acoustical Society of America.

[19]  Isaac Harari,et al.  A survey of finite element methods for time-harmonic acoustics , 2006 .

[20]  Jm M. Ko,et al.  An improved perturbation method for stochastic finite element model updating , 2008 .

[21]  S. Finette,et al.  ACOUSTIC PROPAGATION IN AN UNCERTAIN WAVEGUIDE ENVIRONMENT USING STOCHASTIC BASIS EXPANSIONS , 2010 .

[22]  James K. Guest,et al.  Topology optimization of continuum structures under uncertainty – A Polynomial Chaos approach , 2012 .

[23]  M. Kaminski.  Probabilistic entropy in homogenization of the periodic fiber‐reinforced composites with random elastic parameters , 2012 .

[24]  Mohamed Ichchou,et al.  Stochastic wave finite element for random periodic media through first-order perturbation , 2011 .

[25]  S. Finette.  A stochastic response surface formulation of acoustic propagation through an uncertain ocean waveguide environment. , 2009, The Journal of the Acoustical Society of America.