首页|基于高精度模态综合法的螺栓连接组合结构不确定模型更新

基于高精度模态综合法的螺栓连接组合结构不确定模型更新

Stochastic model updating of assembled structures with bolted joints based on the high-precision modal synthesis method

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由于螺栓结构中存在复杂的微观特征,数值模型中无法避免的会引入不确定性.针对螺栓设计中参数不确定性量化问题,一种基于高精度模态综合法的螺栓连接组合结构随机模型更新方法被提出.首先考虑高阶剩余模态的影响,推导了适用于螺栓组合结构弹性交界面的高精度模态综合法;之后,在贝叶斯推理框架下,通过组合结构的自振频率和振型的概率分布,建立螺栓连接参数的后验概率密度函数,并借助DRAM(delayed rejection adaptive metropolis)抽样方法量化参数的不确定性.数值算例表明,针对各子结构之间自振频率差别较大的结构,与模态综合法相比,本研究方法在较少子结构模态参与的情形下,也可以保证良好的模型更新结果.
The existence of complex microscopic features in the bolted structure leads to inevitable uncertainty in the numerical model.Aiming at the quantification of parameter uncertainty in bolt design,this paper proposes a stochastic model updating method for assembled structures with bolted joints based on a high-precision modal synthesis method.First,considering the influence of higher-order residual modes,a high-precision modal synthesis method suitable for the elastic interface of bolted joints is derived.Then,under the framework of Bayesian inference,using the natural frequency and mode shape probability distribution of the assembled structure,the posterior probability density function of the bolt parameters is established,and the parameter uncertainty is quantified with delayed rejection adaptive metropolis(DRAM)sampling method.The numerical examples indicate that for structures with large differences in natural frequencies among the substructures,compared with the general modal synthesis methods,the method proposed in this paper can ensure good model updating performance in the case of using a small number of substructure modes.

assembled structurestochastic model updatingBayesian inferencecomponent mode synthesis

张勇、赵岩、欧阳华江

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大连理工大学工程力学系,116023大连

大连理工大学宁波研究院,315000宁波

英国利物浦大学,L693GH利物浦

组合结构 随机模型更新 贝叶斯方法 模态综合法

国家自然科学基金资助项目国家自然科学基金资助项目国家重点研发计划资助项目山东省重点研发计划资助项目

11772084U19062332017YFC03072032019JZZY010801

2024

应用力学学报
西安交通大学

应用力学学报

CSTPCD北大核心
影响因子:0.398
ISSN:1000-4939
年,卷(期):2024.41(2)