TY - JOUR
T1 - Reliability analysis of nonlinear vibro-impact systems with both randomly fluctuating restoring and damping terms
AU - Ren, Zhicong
AU - Xu, Wei
AU - Zhang, Shuo
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
PY - 2020/3
Y1 - 2020/3
N2 - In this paper, the reliability analysis of vibro-impact system with both randomly fluctuating restoring and damping terms is studied by a modified path integration (PI) method. Specifically, the Ivanov nonsmooth transformation technique is adopted to transform the vibro-impact system into the system without barrier, then the modified PI application on vibro-impact systems is applied, which is based on the Gaussian closure method and the localized approximation of moment function. According to the first passage theory, the reliability function, the first passage probability density function (PDF) and the mean first passage time are numerically calculated. In the framework of our numerical results, the influences of different random restoring terms, random damping terms and impact conditions on the system's reliability are discussed. The modified PI results are compared with the Monte Carlo Simulation (MCS) results, which shows that the proposed PI method can not only provide sufficiently accurate results to observe the weak influence of parameters, but also has obvious advantages in computational efficiency.
AB - In this paper, the reliability analysis of vibro-impact system with both randomly fluctuating restoring and damping terms is studied by a modified path integration (PI) method. Specifically, the Ivanov nonsmooth transformation technique is adopted to transform the vibro-impact system into the system without barrier, then the modified PI application on vibro-impact systems is applied, which is based on the Gaussian closure method and the localized approximation of moment function. According to the first passage theory, the reliability function, the first passage probability density function (PDF) and the mean first passage time are numerically calculated. In the framework of our numerical results, the influences of different random restoring terms, random damping terms and impact conditions on the system's reliability are discussed. The modified PI results are compared with the Monte Carlo Simulation (MCS) results, which shows that the proposed PI method can not only provide sufficiently accurate results to observe the weak influence of parameters, but also has obvious advantages in computational efficiency.
KW - Modified PI
KW - Random restoring and damping terms
KW - Reliability
KW - Vibro-impact
UR - http://www.scopus.com/inward/record.url?scp=85074160949&partnerID=8YFLogxK
U2 - 10.1016/j.cnsns.2019.105087
DO - 10.1016/j.cnsns.2019.105087
M3 - 文章
AN - SCOPUS:85074160949
SN - 1007-5704
VL - 82
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
M1 - 105087
ER -