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THEORY OF RESPONSE ANALYSIS FOR CONTINUOUS FUZZY STOCHASTIC DYNAMICAL SYSTEMS I. NORMAL MODE METHOD*
Most real-life structural/mechanical systems have complex geometrical and material properties and operate under complex fuzzy environmental conditions. These systems are certainly subjected to fuzzy random excitations induced by the environment. For an analytical treatment of such a system subjected to fuzzy random excitations, it becomes necessary to establish the general theory of dynamic response of a system to fuzzy random excitations. In the first paper of a series of reports on the continuous fuzzy stochastic dynamical systems, we extend the work published in References 18-21, and discuss the response of 1-dimensional systems whose response is described by a single fuzzy displacement component X(s, t), and give the normal mode method for the response of 1-dimensional systems. Systems for which normal modes exist, the normal mode method provides a simple analytical framework for determining the dynamic response of continuous fuzzy stochastic dynamical systems. The theory of the response, fuzzy mean response and fuzzy covariance response of continuous systems to fuzzy random excitations in the time domain and frequency domain is put forward. One example is considered in order to demonstrate the rationality and validity of the theory.
THEORY OF RESPONSE ANALYSIS FOR CONTINUOUS FUZZY STOCHASTIC DYNAMICAL SYSTEMS I. NORMAL MODE METHOD*
Most real-life structural/mechanical systems have complex geometrical and material properties and operate under complex fuzzy environmental conditions. These systems are certainly subjected to fuzzy random excitations induced by the environment. For an analytical treatment of such a system subjected to fuzzy random excitations, it becomes necessary to establish the general theory of dynamic response of a system to fuzzy random excitations. In the first paper of a series of reports on the continuous fuzzy stochastic dynamical systems, we extend the work published in References 18-21, and discuss the response of 1-dimensional systems whose response is described by a single fuzzy displacement component X(s, t), and give the normal mode method for the response of 1-dimensional systems. Systems for which normal modes exist, the normal mode method provides a simple analytical framework for determining the dynamic response of continuous fuzzy stochastic dynamical systems. The theory of the response, fuzzy mean response and fuzzy covariance response of continuous systems to fuzzy random excitations in the time domain and frequency domain is put forward. One example is considered in order to demonstrate the rationality and validity of the theory.
THEORY OF RESPONSE ANALYSIS FOR CONTINUOUS FUZZY STOCHASTIC DYNAMICAL SYSTEMS I. NORMAL MODE METHOD*
Yue, Zhang (Autor:in) / Xila, Liu (Autor:in)
Civil Engineering and Environmental Systems ; 15 ; 23-44
01.01.1998
22 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Theory of Response Analysis for Continuous Fuzzy Stochastic Dynamical Systems I. Normal Mode Method
| Online Contents | 1998
Theory of Response Analysis for Continuous Fuzzy Stochastic Dynamical Systems I. Normal Mode Method
| British Library Online Contents | 1998
| Taylor & Francis Verlag | 1998
| British Library Online Contents | 1998