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Your search keyword '"Hu, Rongchun"' showing total 3 results
Start Over Author "Hu, Rongchun" Publisher elsevier b.v.
3 results on '"Hu, Rongchun"'

2. Response and reliability analysis of random time-delay controlled systems undergo wide-band random excitations.

Author

Hu, Rongchun, Zhang, Dongxu, Huan, Ronghua, and Deng, Zichen

Subjects
*TIME delay systems, *NONLINEAR systems, *JUMP processes, *RELIABILITY in engineering, *MARKOV processes
Abstract

This paper proposed a new procedure for response and reliability analysis of a multi-degree-of-freedom (MDOF) random time-delay controlled nonlinear system subjected to wide-band random excitations. A two-steps method is presented to deal with random time delay: Firstly, by modeling the random jump time-delay as a Markov jump process, the random delayed control is formulated as the one with discrete Markov jump varying delay; secondly, based on the randomly periodic property of the system, the Markov jump delay is taken out of the control as a parameter. A new scheme based on limit averaging and stochastic averaging principle is developed, which suppresses the rapidly varying processes to generate a less-dimensional probability-weighted system. The Fokker–Planck–Kolmogorov (FPK) equation and the backward Kolmogorov (BK) equation are then deduced and solved, from which the quantitative characteristics of the response and reliability of the system are obtained. Finally, an example is worked out in detail, from which the application and effectiveness of the proposed method are demonstrated. [ABSTRACT FROM AUTHOR]

Published
2022
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3. Reliability analysis of a class of stochastically excited nonlinear Markovian jump systems.

Author

Hu, Rongchun, Zhang, Dongxu, and Gu, Xudong

Subjects
*MONTE Carlo method, *STOCHASTIC differential equations, *MARKOVIAN jump linear systems, *HYBRID systems, *NONLINEAR systems, *NONLINEAR dynamical systems, *DUFFING equations, *STOCHASTIC systems
Abstract

• A hybrid nonlinear stochastic model involved Markovian jump characteristic is established to depict the nonlinear system suffering abrupt changes in its substructures. • A general theoretical method is first to proposed to investigate the dynamical reliability of multi-DOF nonlinear MJSs has been proposed. • The influence of the Markovian jump factors (jump damping and jump excitation) on the dynamical reliability of system is discussed separately and simultaneously. • By using the two-step averaging approximation, the physical sense of dynamical reliability become much more intuitively to help research. It is inevitable for the nonlinear systems to suffer from external stochastic disturbance. Meanwhile, the components failure will bring abrupt changes in its substructures, which can be considered as the internal stochastic disturbance. It is demonstrated that the components failure performs random jumpy factors switching between a finite number of modes. This salient feature allows us to identify this type of dynamic behaviors as response of nonlinear hybrid systems undergoing Markovian jumps. In this paper a novel method is presented to analyze the dynamical reliability of multi-degree-of-freedom (DOF) nonlinear stochastic systems undergoing Markovian jumps. Firstly, the Markovian jump process is introduced to formulate the aforementioned systems as continuous-discrete hybrid systems. Secondly, a two-step approximate method is applied to convert the hybrid systems to one governed by a set of averaged Itô stochastic differential equations (SDEs) of mechanical energies. Then the associated averaged backward Kolmogorov equation and the Pontryagin equation are constructed and solved to yield the conditional reliability function and the mean first-passage time of the original system respectively. Finally, an example of two coupled Duffing oscillators is illustrated to compare the analytical results and those from Monte Carlo simulation to verify the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Published
2022
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