Cumulants of stochastic response for a class of special nonholonomic systems

Mei Shang; Yi Zhang

doi:10.1088/1009-1963/10/1/302

Cumulants of stochastic response for a class of special nonholonomic systems

Mei Shang^*
, Yi Zhang

^*Corresponding author for this work

School of Aerospace Engineering

Suzhou Inst. Urban Constr. E.

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper studies the response cumulants for a kind of special nonholonomic systems under non-Gaussian, delta-correlated excitations. We present a new methodology for formulating the equations governing the evolution of the response cumulants of the stochastic dynamic systems. The response cumulant differential equations (CDEs) derived can be used to calculate the response cumulants for both linear and nonlinear systems. One example is given to illustrate how to use the CDEs for calculating response cumulants.

Original language	English
Pages (from-to)	7-11
Number of pages	5
Journal	Chinese Physics
Volume	10
Issue number	1
DOIs	https://doi.org/10.1088/1009-1963/10/1/302
Publication status	Published - 2001

Keywords

Delta-correlated processes
Nonholonomic systems
Response cumulants

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abstract = "This paper studies the response cumulants for a kind of special nonholonomic systems under non-Gaussian, delta-correlated excitations. We present a new methodology for formulating the equations governing the evolution of the response cumulants of the stochastic dynamic systems. The response cumulant differential equations (CDEs) derived can be used to calculate the response cumulants for both linear and nonlinear systems. One example is given to illustrate how to use the CDEs for calculating response cumulants.",

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AB - This paper studies the response cumulants for a kind of special nonholonomic systems under non-Gaussian, delta-correlated excitations. We present a new methodology for formulating the equations governing the evolution of the response cumulants of the stochastic dynamic systems. The response cumulant differential equations (CDEs) derived can be used to calculate the response cumulants for both linear and nonlinear systems. One example is given to illustrate how to use the CDEs for calculating response cumulants.

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KW - Nonholonomic systems

KW - Response cumulants

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Cumulants of stochastic response for a class of special nonholonomic systems

Abstract

Keywords

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