TY - GEN
T1 - Frequency Reliability and Sensitivity Analysis of Vibration Systems with Random Uncertain Parameters
AU - Chen, Jin
AU - Lu, Kuan
AU - Zhao, Heng
AU - Zhang, Haopeng
AU - Tong, Hui
AU - Fu, Chao
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2026.
PY - 2026
Y1 - 2026
N2 - The excitation frequency approaches the natural frequency of the system in a vibration system, which will induce significant dynamic risk. Moreover, many vibration systems exhibit inherent uncertainties, whereby minor parameter variations can elicit substantial effects on the system’s dynamic response. Accounting for the stochastic uncertainties of individual parameters, this study employs the Jeffcott rotor as a case study and utilizes the polynomial chaos expansion (PCE) method to develop a metamodel for the natural frequency of the system in the frequency domain. Using the developed metamodel, the statistical moments and probability distributions of the natural frequency are analyzed. The reliability criteria and failure modes for the Jeffcott rotor resonance problem are defined. Leveraging the statistical moments and probability distributions of the natural frequency of the system, the parameter sensitivity of the Jeffcott rotor resonance problem is investigated through the integration of the theory of complex mode, reliability theory, and sensitivity analysis methodologies. The proposed framework in this study offers a theoretical foundation for parameter design in rotor systems with stochastic parameters.
AB - The excitation frequency approaches the natural frequency of the system in a vibration system, which will induce significant dynamic risk. Moreover, many vibration systems exhibit inherent uncertainties, whereby minor parameter variations can elicit substantial effects on the system’s dynamic response. Accounting for the stochastic uncertainties of individual parameters, this study employs the Jeffcott rotor as a case study and utilizes the polynomial chaos expansion (PCE) method to develop a metamodel for the natural frequency of the system in the frequency domain. Using the developed metamodel, the statistical moments and probability distributions of the natural frequency are analyzed. The reliability criteria and failure modes for the Jeffcott rotor resonance problem are defined. Leveraging the statistical moments and probability distributions of the natural frequency of the system, the parameter sensitivity of the Jeffcott rotor resonance problem is investigated through the integration of the theory of complex mode, reliability theory, and sensitivity analysis methodologies. The proposed framework in this study offers a theoretical foundation for parameter design in rotor systems with stochastic parameters.
KW - Complex mode
KW - Jeffcott Rotor
KW - Polynomial Chaos Expansion
KW - Reliability
KW - Sensitivity
UR - https://www.scopus.com/pages/publications/105037441902
U2 - 10.1007/978-981-95-7113-0_14
DO - 10.1007/978-981-95-7113-0_14
M3 - 会议稿件
AN - SCOPUS:105037441902
SN - 9789819571123
T3 - Lecture Notes in Mechanical Engineering
SP - 171
EP - 188
BT - Proceedings of the 3rd International Conference on Mechanical System Dynamics, ICMSD 2025
A2 - Rui, Xiaoting
A2 - Gillich, Gilbert-Rainer
PB - Springer Science and Business Media Deutschland GmbH
T2 - 3rd International Conference on Mechanical System Dynamics, ICMSD 2025
Y2 - 23 September 2025 through 27 September 2025
ER -