Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations

Jinqian Feng; Wei Xu; Haiwu Rong; Rui Wang

doi:10.1016/j.ijnonlinmec.2008.08.013

Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations

Jinqian Feng
, Wei Xu
, Haiwu Rong
, Rui Wang

数学与统计学院

Northwestern Polytechnical University Xian
Foshan University
Shaanxi Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

87 引用（Scopus）

摘要

The paper is devoted to an averaging approach to study the responses of Duffing-Van der Pol vibro-impact system excited by additive and multiplicative Gaussian noises. The response probability density functions (PDFs) are formulated analytically by the stochastic averaging method. Meanwhile, the results are validated numerically. In addition, stochastic bifurcations are also explored.

源语言	英语
页（从-至）	51-57
页数	7
期刊	International Journal of Non-Linear Mechanics
卷	44
期	1
DOI	https://doi.org/10.1016/j.ijnonlinmec.2008.08.013
出版状态	已出版 - 1月 2009

访问文件

10.1016/j.ijnonlinmec.2008.08.013

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{9e3d26c71fbf492394840959b7ac5ef0,

title = "Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations",

abstract = "The paper is devoted to an averaging approach to study the responses of Duffing-Van der Pol vibro-impact system excited by additive and multiplicative Gaussian noises. The response probability density functions (PDFs) are formulated analytically by the stochastic averaging method. Meanwhile, the results are validated numerically. In addition, stochastic bifurcations are also explored.",

keywords = "Stationary PDFs, Stochastic averaging, Stochastic bifurcation, Vibro-impact system",

author = "Jinqian Feng and Wei Xu and Haiwu Rong and Rui Wang",

year = "2009",

month = jan,

doi = "10.1016/j.ijnonlinmec.2008.08.013",

language = "英语",

volume = "44",

pages = "51--57",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Ltd",

number = "1",

}

TY - JOUR

T1 - Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations

AU - Feng, Jinqian

AU - Xu, Wei

AU - Rong, Haiwu

AU - Wang, Rui

PY - 2009/1

Y1 - 2009/1

N2 - The paper is devoted to an averaging approach to study the responses of Duffing-Van der Pol vibro-impact system excited by additive and multiplicative Gaussian noises. The response probability density functions (PDFs) are formulated analytically by the stochastic averaging method. Meanwhile, the results are validated numerically. In addition, stochastic bifurcations are also explored.

AB - The paper is devoted to an averaging approach to study the responses of Duffing-Van der Pol vibro-impact system excited by additive and multiplicative Gaussian noises. The response probability density functions (PDFs) are formulated analytically by the stochastic averaging method. Meanwhile, the results are validated numerically. In addition, stochastic bifurcations are also explored.

KW - Stationary PDFs

KW - Stochastic averaging

KW - Stochastic bifurcation

KW - Vibro-impact system

UR - https://www.scopus.com/pages/publications/56949092461

U2 - 10.1016/j.ijnonlinmec.2008.08.013

DO - 10.1016/j.ijnonlinmec.2008.08.013

M3 - 文章

AN - SCOPUS:56949092461

SN - 0020-7462

VL - 44

SP - 51

EP - 57

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 1

ER -

Stochastic responses of Duffing-Van der Pol vibro-impact system under additive and multiplicative random excitations

摘要

访问文件

其它文件与链接

学术指纹

引用此