Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts-Reference-Cited by-同舟云学术

Survival probability of nonlinear oscillators endowed with fractional derivative element and subjected to evolutionary excitation: A stochastic averaging treatment with path integral concepts

Published:2021-10 Issue: Volume:66 Page:103156
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Zhang Yuanjin^ORCID,Li Shujin,Kong Fan

Funder

National Natural Science Foundation of China

Fundamental Research Funds for the Central Universities

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

Reference57 articles.

1. Advances in Fractional Calculus, Vol. 4;Sabatier,2007

2. Fractional relaxation in anelastic solids;Mainardi;J. Alloys Compd.,1994

3. Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids;Rossikhin;Appl. Mech. Rev.,1997

4. On the fractional calculus model of viscoelastic behavior;Bagley;J. Rheol.,1986

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

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