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An approximate technique for determining in closed form the response transition probability density function of diverse nonlinear/hysteretic oscillators
16 references·0 citing·29 second hop
An approximate technique for determining in closed form the response transition probability density function of diverse nonlinear/hysteretic oscillators (2019)An approximate technique for determining …Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation (2018)Wiener Path Integral based re…Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach (2018)Stochastic response determina…Approximate survival probability determination of hysteretic systems with fractional derivative elements (2017)Approximate survival probabil…An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems (2015)An Efficient Wiener Path Inte…Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Stochastic response determina…Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism (2014)Nonstationary Stochastic Resp…Response and First-Passage Statistics of Nonlinear Oscillators via a Numerical Path Integral Approach (2012)Response and First-Passage St…An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators (2011)An analytical Wiener path int…Stochastic Dynamics of Structures (2009)Stochastic Dynamics of Struct…Stochastic Calculus: Applications in Science and Engineering (2002)Stochastic Calculus: Applicat…Stochastic Calculus (2002)Stochastic CalculusMonte Carlo Treatment of Random Fields: A Broad Perspective (1998)Monte Carlo Treatment of Rand…Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions (1995)Applied non-Gaussian processe…Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Response statistics of nonlin…Random vibration and statistical linearization (1990)Random vibration and statisti…Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic averaging: An appr…Random Vibration of Mechanical and Structural Systems (1992)Simulation and the Monte Carlo Method (2007)Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Galerkin Scheme-Based Determination of Survival Probability of Oscillators With Fractional Derivative Elements (2016)Stochastic Differential Equations: Theory and Applications. (1976)Stochastic Differential Equations: An Introduction with Applications. (1987)Stochastic Differential Equations—An Introduction With Applications (2006)Digital simulation of random processes and its applications (1972)Method for Random Vibration of Hysteretic Systems (1976)A new path integration procedure based on Gauss-Legendre scheme (1997)Equivalent linearization and Monte Carlo simulation in stochastic dynamics (2003)Probabilistic engineering mechanics (1993)Stochastic Finite Elements (2009)A simple and efficient methodology to approximate a general non-Gaussian stationary stochastic process by a translation process (2011)A nonparametric model of random uncertainties for reduced matrix models in structural dynamics (2000)Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations (2004)Stochastic Dynamics of Marine Structures (2012)Nonlinear Vibration Models for Extremes and Fatigue (1988)The dynamics of speculative behaviour (1992)Dynamic response and reliability analysis of non-linear stochastic structures (2004)The probability density evolution method for dynamic response analysis of non‐linear stochastic structures (2005)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)Advances of the probability density evolution method for nonlinear stochastic systems (2011)A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters (2015)Random function based spectral representation of stationary and non-stationary stochastic processes (2016)Evaluation of Karhunen–Loève, Spectral, and Sampling Representations for Stochastic Processes (2006)Stochastic finite elements: Computational approaches to stochastic partial differential equations (2008)Computational stochastic mechanics – recent advances (2001)Simulation of second-order processes using Karhunen–Loeve expansion (2002)
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References

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  • 2009Stochastic Dynamics of Structures923 cited
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  • 1995Applied non-Gaussian processes : examples, theory, simulation, linear random vibration, and MATLAB solutions288 cited
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  • 2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
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  • 2014Nonstationary Stochastic Response Determination of Nonlinear Systems: A Wiener Path Integral Formalism94 cited
  • 2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited
  • 2017Approximate survival probability determination of hysteretic systems with fractional derivative elements

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72 cited
  • 2018Stochastic response determination and optimization of a class of nonlinear electromechanical energy harvesters: A Wiener path integral approach56 cited
  • 2018Wiener Path Integral based response determination of nonlinear systems subject to non-white, non-Gaussian, and non-stationary stochastic excitation56 cited
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