A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries-Reference-Cited by-同舟云学术

A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational formulation with free boundaries

Published:2023-01 Issue: Volume:71 Page:103410
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Zhang Yuanjin,Kougioumtzoglou Ioannis A.,Kong Fan

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hubei Province

National Science Foundation

National Science Foundation Division of Civil Mechanical and Manufacturing Innovation

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

Reference45 articles.

1. Probabilistic Theory of Structural Dynamics;Lin,1967

2. Random Vibration and Statistical Linearization;Roberts,2003

3. Stochastic Finite Elements: A Spectral Approach;Ghanem,2003

4. Stochastic Dynamics of Structures;Li,2009

5. Stochastic Systems: Uncertainty Quantification and Propagation;Grigoriu,2012

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