TY - JOUR
T1 - Reliability and control of strongly nonlinear vibro-impact system under external and parametric Gaussian noises
AU - Liu, Li
AU - Xu, Wei
AU - Yang, Gui Dong
AU - Huang, Dong Mei
N1 - Publisher Copyright:
© 2020, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/9/1
Y1 - 2020/9/1
N2 - This paper mainly focuses on reliability and the optimal bounded control for maximizing system reliability of a strongly nonlinear vibro-impact system. Firstly, the new stochastic averaging in which the impact condition is converted to the system energy is applied to obtain the averaged Itô stochastic differential equation, by which the associated Backward Kolmogorov (BK) equation and Generalized Pontryagin (GP) equation are derived. Then, the dynamical programming equations are obtained based on the dynamical programming principle, by which the optimal bounded control for maximizing system reliability is devised Finally, the effects of the bounded control and noise intensity on the reliability of the vibro-impact system are discussed in detail; meanwhile, the influence of impact conditions on the system’s reliability is also studied. The feasibility and effectiveness of the proposed analytical method are substantiated by numerical results obtained from Monte-Carlo simulation.
AB - This paper mainly focuses on reliability and the optimal bounded control for maximizing system reliability of a strongly nonlinear vibro-impact system. Firstly, the new stochastic averaging in which the impact condition is converted to the system energy is applied to obtain the averaged Itô stochastic differential equation, by which the associated Backward Kolmogorov (BK) equation and Generalized Pontryagin (GP) equation are derived. Then, the dynamical programming equations are obtained based on the dynamical programming principle, by which the optimal bounded control for maximizing system reliability is devised Finally, the effects of the bounded control and noise intensity on the reliability of the vibro-impact system are discussed in detail; meanwhile, the influence of impact conditions on the system’s reliability is also studied. The feasibility and effectiveness of the proposed analytical method are substantiated by numerical results obtained from Monte-Carlo simulation.
KW - first-passage failure
KW - stochastic averaging method
KW - stochastic optimal control
KW - vibro-impact system
UR - http://www.scopus.com/inward/record.url?scp=85087391327&partnerID=8YFLogxK
U2 - 10.1007/s11431-020-1626-5
DO - 10.1007/s11431-020-1626-5
M3 - 文章
AN - SCOPUS:85087391327
SN - 1674-7321
VL - 63
SP - 1837
EP - 1845
JO - Science China Technological Sciences
JF - Science China Technological Sciences
IS - 9
ER -