ABSTRACT In this paper, the dynamic reliability and global sensitivity analysis method of double random vibration system is proposed, considering structure uncertainty and excitation uncertainty of complex mechanical and structural systems under random load. Based on the Miner criterion of fatigue failure of structures, the dynamic responses of structures under the condition of double random vibration are analyzed, and the dynamic reliability analysis method is established. Furthermore, the moment-independent global sensitivity index of random structures is proposed, which can quantitatively reflect the effects of random structure parameters on dynamic reliability under random excitation and provide reference for structure reliability optimization design. Based on the proposed dynamic reliability moment-independent global sensitivity analysis (GSA) index, this paper combines the computationally efficient active learning Kriging (ALK) method to establish the solving method. Finally, the rationality and correctness of the dynamic reliability GSA index and the ALK method proposed in this paper are illustrated by comparing the results with those gained by Monte Carlo simulation (MCS) method. The results prove that the GSA has significantly guided meaning and referenced value in the dynamic reliability design and optimization for the double random vibration system, especially for the engineering practice.

中文翻译：

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基于Kriging模型的双随机振动系统疲劳动力可靠性及全局灵敏度分析

摘要 本文考虑随机载荷作用下复杂机械结构系统的结构不确定性和激励不确定性，提出了双随机振动系统的动态可靠性和全局灵敏度分析方法。基于结构疲劳破坏的Miner准则，分析了结构在双随机振动条件下的动力响应，建立了动力可靠性分析方法。进一步提出了随机结构的矩无关全局灵敏度指标，可以定量反映随机结构参数对随机激励下动态可靠性的影响，为结构可靠性优化设计提供参考。基于提出的动态可靠性矩独立全局灵敏度分析（GSA）指标，本文结合计算效率高的主动学习克里金（ALK）方法建立求解方法。最后，通过与蒙特卡罗模拟(MCS)方法得到的结果进行比较，说明本文提出的动态可靠性GSA指标和ALK方法的合理性和正确性。结果证明，GSA对双随机振动系统的动态可靠性设计和优化，特别是工程实践具有重要的指导意义和参考价值。通过与蒙特卡罗模拟(MCS)方法得到的结果进行比较，说明了本文提出的动态可靠性GSA指标和ALK方法的合理性和正确性。结果证明，GSA对双随机振动系统的动态可靠性设计和优化，特别是工程实践具有重要的指导意义和参考价值。通过与蒙特卡罗模拟(MCS)方法得到的结果进行比较，说明了本文提出的动态可靠性GSA指标和ALK方法的合理性和正确性。结果证明，GSA对双随机振动系统的动态可靠性设计和优化，特别是工程实践具有重要的指导意义和参考价值。