摘要
统计能量分析方法是目前处理结构高频振动的有效方法之一,在航空、航天、船舶和机械等领域得到了广泛的应用.内损耗因子和耦合损耗因子是统计能量分析方法中非常重要的两个结构参数,这些参数可以利用试验测量得到的外部输入功率和结构模态能量通过理论方法识别出来.传统的统计能量分析参数识别方法没有考虑输入功率和模态能量的测量误差对识别结果的影响,识别结果精度较低,难以满足工程需要.该研究将区间数学方法应用于统计能量分析的参数识别,提出了一种可以考虑模态能量测量误差和输入功率测量误差的参数识别方法,揭示了模态能量和输入功率的测量误差对参数识别的影响规律,提高参数识别的准确性.该文的研究内容可以为后续的结构设计和安全性分析提供参考.
The statistical energy analysis(SEA)method was popularly employed to handle the high-frequency dynamics problems in many engineering fields such as aerospace and shipping.The damping loss factor and coupling loss factor were the major parameters in the SEA theory,and they can usually be identified with the measured external input power and structural modal energy.The measurement errors of the input power and modal energy were not considered in the traditional parameter identification,where the accuracy of the identi-fied results was relatively low.The interval mathematics method was applied to the parameter identification in this study,and the measurement errors of the input power and modal energy were fully considered.The effects of the measurement errors on the parameter identification were revealed,and the accuracy of the identified re-sults was improved.The work can be helpful for the structure design and safety analysis.
作者
宋海洋
SONG Haiyang(School of Civil Engineering and Architecture,Northeast Electric Power University,Jilin,Jilin 132012,P.R.China;Key Lab of Electric Power Infrastructure Safety Assessment and Disaster Prevention of Jilin Province,Northeast Electric Power University,Jilin,Jilin 132012,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2024年第5期571-581,共11页
Applied Mathematics and Mechanics
基金
吉林省教育厅科学技术研究项目(JJKH20230143KJ)。
关键词
区间数学
参数识别
统计能量分析
结构振动
interval mathematics
parameter identification
statistical energy analysis
structural vibration
