The analyses of dynamic response and reliability for failure dependent stochastic micro-resonator with thermoelastic coupling effects
The analyses of dynamic response and reliability for failure dependent stochastic micro-resonator with thermoelastic coupling effects
复制标题
具有热弹性耦合效应的失效相关随机微谐振器的动态响应和可靠性分析
DOI：
10.1016/j.apm.2019.09.040
复制
发表时间：
2019
影响因子：
5
通讯作者：
马娟
中科院分区：
文献类型：
--
作者：
马娟
在结构系统可靠性分析中，考虑结构参数的随机性是设计高性能微谐振器的一个重要措施。在这项工作中，随机动态响应分析和随后的随机微谐振器的动态可靠性评估最初提出，其中热弹性耦合效应是新鲜纳入所提出的模型。首先基于有限元法建立了确定性微谐振器的动力学特性方程。然后，采用左、右特征向量和块Lanczos算法求解了谐振器的随机动力特性，并对随机温度场和结构随机动应力进行了求解。然后，综合考虑强度失效和频率共振失效，研究结构的整体可靠性，其中使用Copula函数描述两种失效模式之间的动态相关性。最后通过一个实际算例验证了该方法的可行性和合理性。
A crucial measure for the design of high-performance micro-resonators is to consider the randomness of structural parameters when analyzing the structural system reliability. In this work, the stochastic dynamic response analysis and subsequently, a dynamic reliability assessment of the random micro-resonators are originally presented, where the thermoelastic coupling effects are freshly incorporated in the models proposed. The dynamic characteristics equation of the deterministic micro-resonator is firstly established based on the finite element method. The random dynamic characteristics of the resonator are then solved by implementing the left and right eigenvectors and the block Lanczos algorithm, and the random temperature field and structural random dynamic stress are also tackled. Afterwards, the overall structural reliability is investigated with a comprehensive consideration of the strength failure and frequency resonance failure, in which the Copula function is used for describing the dynamic correlation between two failure modes. Finally, the feasibility and rationality of the method put forward are demonstrated via a practically motivated example.