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
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.
Received: 18 May 2000
Revised: 26 June 2000
Accepted manuscript online:
Fund: 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.
Cite this article:
Shang Mei (尚玫), Zhang Yi (张毅) CUMULANTS OF STOCHASTIC RESPONSE FOR A CLASS OF SPECIAL NONHOLONOMIC SYSTEMS 2001 Chinese Physics 10 7
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