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Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives
1 references·9 citing·32 second hop
Random Vibration of Systems with Frequency-Dependent Parameters or Fractional Derivatives (1997)Random Vibration of Systems with Frequenc…Introduction to Random Vibrations (1983)Introduction to Random Vibrat…Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements (2023)Extended statistical lineariz…Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE (2022)Stochastic response determina…Nonstationary random vibration analysis of fractionally-damped systems by numerical explicit time-domain method (2022)Nonstationary random vibratio…Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements (2017)Random Vibrations of Nonlinea…Nonlinear random vibrations of plates endowed with fractional derivative elements (2017)Nonlinear random vibrations o…Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers (2015)Stochastic dynamic response a…Nonlinear Random Vibrations of Beams with Fractional Derivative Elements (2014)Nonlinear Random Vibrations o…First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping (2011)First passage failure of MDOF…First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations (2010)First passage failure of SDOF…Random vibration and statistical linearization (1990)Random vibration and statistical linearization (1990)Simulation of Stochastic Processes by Spectral Representation (1991)Response of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitations: A Path Integral approach based on Laplace’s method of integration (2022)First-passage time for randomly excited non-linear oscillators (1986)The Generalized Cell Mapping Method in Nonlinear Random Vibration Based Upon Short-Time Gaussian Approximation (1990)First-passage failure of quasi-non-integrable-Hamiltonian systems (2001)Path integration method based on a decoupling probability mapping for fast solving the stochastic response of dynamical systems (2023)First-Passage Failure of Quasi-Integrable Hamiltonian Systems (2002)A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries (2023)Operator norm-based determination of failure probability of nonlinear oscillators with fractional derivative elements subject to imprecise stationary Gaussian loads (2023)Survival probability determination of nonlinear oscillators with fractional derivative elements under evolutionary stochastic excitation (2023)The Number Theoretical Method in Response Analysis of Nonlinear Stochastic Structures (2006)The principle of preservation of probability and the generalized density evolution equation (2006)Stochastic Dynamics of Structures (2009)Efficient reliability analysis of structures with the rotational quasi-symmetric point- and the maximum entropy methods (2017)A cubature collocation based sparse polynomial chaos expansion for efficient structural reliability analysis (2018)Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions (2019)A new general law of deformation (1921)Benchmark solutions for stochastic dynamic responses of rectangular Mindlin plates (2022)Stationary and non-stationary stochastic response of linear fractional viscoelastic systems (2011)Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral (2014)Waiting-times and returns in high-frequency financial data: an empirical study (2002)Response statistics of nonlinear, compliant offshore structures by the path integral solution method (1993)Probabilistic response determination of high-dimensional nonlinear dynamical systems enforced by parametric multiple Poisson white noises (2024)Efficient stochastic response analysis of high-dimensional nonlinear systems subject to multiplicative noise via the DR-PDEE (2025)First excursion probability of dynamical systems: A review on computational methods (2025)Stochastic averaging: An approximate method of solving random vibration problems (1986)Stochastic Linearization in Structural Dynamics (1988)On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems (1993)Stochastic Dynamics and Control (2006)Assessment of spectral representation and Karhunen–Loève expansion methods for the simulation of Gaussian stochastic fields (2007)
this work references cited by second hop

References

  • 1983Introduction to Random Vibrations433 cited

Cited by

  • 2015Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers92 cited
  • 2014Nonlinear Random Vibrations of Beams with Fractional Derivative Elements55 cited
  • 2022Stochastic response determination of multi-dimensional nonlinear systems endowed with fractional derivative elements by the GE-GDEE36 cited
  • 2017Nonlinear random vibrations of plates endowed with fractional derivative elements28 cited
  • 2010First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations28 cited
  • 2023Extended statistical linearization approach for estimating non-stationary response statistics of systems comprising fractional derivative elements20 cited
  • 2011First passage failure of MDOF quasi-integrable Hamiltonian systems with fractional derivative damping17 cited
  • 2022Nonstationary random vibration analysis of fractionally-damped systems by numerical explicit time-domain method15 cited
  • 2017Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements14 cited

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