The stochastic Precise Integration method for random analysis of nonlinear systems
Xiaoke Gao, Zhiyin Zeng, Pengke Liu, Xiaojun Shao
Available Online April 2015.
- https://doi.org/10.2991/icmra-15.2015.13How to use a DOI?
- stochastic process; nonlinear system; Precise Integration Method; White noise; Random excitation
- Based on deterministic Precise Integration formulation, a stochastic Precise Integration algorithm is proposed and developed in this paper for the random analysis of nonlinear systems. The recurrence relations are derived to calculate the covariance matrix response of linear and nonlinear systems subjected to stationary and non-stationary random disturbance, respectively. Numerical simulations are carried out to demonstrate the accuracy and effectiveness of the method.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - CONF AU - Xiaoke Gao AU - Zhiyin Zeng AU - Pengke Liu AU - Xiaojun Shao PY - 2015/04 DA - 2015/04 TI - The stochastic Precise Integration method for random analysis of nonlinear systems BT - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation PB - Atlantis Press SP - 63 EP - 66 SN - 2352-538X UR - https://doi.org/10.2991/icmra-15.2015.13 DO - https://doi.org/10.2991/icmra-15.2015.13 ID - Gao2015/04 ER -