CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

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

中国物理B ›› 2001, Vol. 10 ›› Issue (1): 7-11.doi: 10.1088/1009-1963/10/1/302

CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

尚玫¹, 张毅²

(1)Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; (2)Suzhou Institute of Urban Construction and Environment Protection, Suzhou 215011, China

收稿日期:2000-05-18 修回日期:2000-06-26 出版日期:2005-07-11 发布日期:2005-07-11
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 19572028) and the Doctoral Program Foun-dation of Institution of Higher Education of China.

CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

Shang Mei (尚玫)^a, Zhang Yi (张毅)^b

^a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; ^b Suzhou Institute of Urban Construction and Environment Protection, Suzhou 215011, China

Received:2000-05-18 Revised:2000-06-26 Online:2005-07-11 Published:2005-07-11
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 19572028) and the Doctoral Program Foun-dation of Institution of Higher Education of China.

摘要/Abstract

摘要： 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.

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.

Key words: nonholonomic systems, delta-correlated processes, response cumulants

中图分类号: (Stochastic analysis methods)

05.10.Gg

02.50.Fz (Stochastic analysis) 02.30.Jr (Partial differential equations)

尚玫, 张毅. CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS[J]. 中国物理B, 2001, 10(1): 7-11.

Shang Mei (尚玫), Zhang Yi (张毅). CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS[J]. Chinese Physics, 2001, 10(1): 7-11.

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CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS

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