Response spectral density determination for nonlinear systems endowed with fractional derivatives and subject to colored noise-Reference-Cited by-同舟云学术

Response spectral density determination for nonlinear systems endowed with fractional derivatives and subject to colored noise

Published:2020-01 Issue: Volume:59 Page:103023
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Kong Fan,Spanos Pol D.

Funder

National Natural Science Foundation of China

Chinese Scholarship Council

Publisher

Elsevier BV

Subject

Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Condensed Matter Physics,Nuclear Energy and Engineering,Civil and Structural Engineering,Statistical and Nonlinear Physics

Reference27 articles.

1. Stochastic Dynamics of Structures;Li,2009

2. Visco-elastic behavior through fractional calculus: an easier method for best fitting experimental results;Di Paola;Mech. Mater.,2011

3. Application of fractional derivatives to seismic analysis of base-isolated models;Koh;Earthq. Eng. Struct. Dyn.,1990

4. Application of fractional derivative models in linear viscoelastic problems;Sasso;Mech. Time-Depend. Mater.,2011

5. Impulse response function of an oscillator with fractional derivative in damping description;Gaul;Mech. Res. Commun.,1989

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-stationary response determination of nonlinear systems endowed with fractional derivative elements subjected to evolutionary stochastic excitation;Engineering Structures;2024-11

2. An efficient uncertainty propagation method for nonlinear dynamics with distribution-free P-box processes;Chinese Journal of Aeronautics;2024-05

3. A memory-free formulation for determining the non-stationary response of fractional nonlinear oscillators subjected to combined deterministic and stochastic excitations;Nonlinear Dynamics;2023-11-01

4. Equation governing the probability density evolution of multi-dimensional linear fractional differential systems subject to Gaussian white noise;Theoretical and Applied Mechanics Letters;2023-05

5. Nonstationary Stochastic Response of Hysteretic Systems Endowed With Fractional Derivative Elements;Journal of Applied Mechanics;2023-03-16