Volume 45 Issue 5
May  2024
Turn off MathJax
Article Contents
SONG Haiyang. Structural Parameter Identification Based on the Interval Mathematics Method[J]. Applied Mathematics and Mechanics, 2024, 45(5): 571-581. doi: 10.21656/1000-0887.440319
Citation: SONG Haiyang. Structural Parameter Identification Based on the Interval Mathematics Method[J]. Applied Mathematics and Mechanics, 2024, 45(5): 571-581. doi: 10.21656/1000-0887.440319

Structural Parameter Identification Based on the Interval Mathematics Method

doi: 10.21656/1000-0887.440319
  • Received Date: 2023-10-22
  • Rev Recd Date: 2024-01-29
  • Publish Date: 2024-05-01
  • 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 identified 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 results was improved. The work can be helpful for the structure design and safety analysis.
  • loading
  • [1]
    李征宇, 王薇, 陈强. 基于能量法的高频冲击载荷下机械结构振动特性研究[J]. 船舶电子对抗, 2023, 46(5): 103-107. https://www.cnki.com.cn/Article/CJFDTOTAL-JCDZ202305021.htm

    LI Zhengyu, WANG Wei, CHEN Qiang. Research into mechanical structural vibration characteristics under high-frequency impact load based on energy method[J]. Shipboard Electronic Countermeasure, 2023, 46(5): 103-107. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-JCDZ202305021.htm
    [2]
    王小峰, 崔东泽, 张鸿, 等. 带气膜阻尼悬臂平板振动特性的统计能量分析[J]. 机械设计与制造, 2023(12): 7-12. doi: 10.3969/j.issn.1001-3997.2023.12.002

    WANG Xiaofeng, CUI Dongze, ZHANG Hong, et al. Statistical energy analysis on vibration characteristics of cantilever plate with air film damper[J]. Machinery Design & Manufacture, 2023(12): 7-12. (in Chinese) doi: 10.3969/j.issn.1001-3997.2023.12.002
    [3]
    沈重, 陈忠明. 基于有限元-统计能量分析混合法座舱噪声特性研究[J]. 噪声与振动控制, 2022, 42(5): 200-203. doi: 10.3969/j.issn.1006-1355.2022.05.033

    SHEN Zhong, CHEN Zhongming. Study on noise characteristics of airplane cockpits based on FEM-SEA hybrid method[J]. Noise and Vibration Control, 2022, 42(5): 200-203. (in Chinese) doi: 10.3969/j.issn.1006-1355.2022.05.033
    [4]
    赵欣棠, 徐恬. 基于图论和统计能量分析的船舶舱室噪声传递路径[J]. 船舶设计通讯, 2021(162): 38-44. https://www.cnki.com.cn/Article/CJFDTOTAL-CBSJ2021S1009.htm

    ZHAO Xintang, XU Tian. Transfer path of ship cabin noise based on graph theory and statistical energy analysis[J]. Journal of Ship Design, 2021(162): 38-44. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CBSJ2021S1009.htm
    [5]
    张捷, 姚丹, 王瑞乾, 等. 基于试验统计能量分析的高速列车车内噪声预测方法[J]. 铁道学报, 2020, 42(11): 45-52. doi: 10.3969/j.issn.1001-8360.2020.11.007

    ZHANG Jie, YAO Dan, WANG Ruiqian, et al. An approach for interior noise prediction of high-speed trains based on experimental statistical energy analysis[J]. Journal of the China Railway Society, 2020, 42(11): 45-52. (in Chinese) doi: 10.3969/j.issn.1001-8360.2020.11.007
    [6]
    张政, 许孟辉. 基于改进区间摄动分析的统计能量分析法[J]. 噪声与振动控制, 2019, 39(6): 25-29. doi: 10.3969/j.issn.1006-1355.2019.06.005

    ZHANG Zheng, XU Menghui. Statistical energy analysis method based on improved interval perturbation analysis[J]. Noise and Vibration Control, 2019, 39(6): 25-29. (in Chinese) doi: 10.3969/j.issn.1006-1355.2019.06.005
    [7]
    DELANGHE K, SAS P. Statistical analysis of the power injection method[J]. Journal of the Aacoustical Society of America, 1996, 100(1): 294-303. doi: 10.1121/1.415915
    [8]
    CHEN Q, FEI Q G, LI Y B, et al. Prediction of statistical energy analysis parameters in thermal environment[J]. Journal of Spacecraft and Rockets, 2019, 56(3): 687-694. doi: 10.2514/1.A34181
    [9]
    秦朝红, 任方, 韩丽, 等. 飞行器典型结构中频分析参数识别及建模技术研究[J]. 强度与环境, 2014, 41(5): 38-44. https://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ201405007.htm

    QIN Chaohong, REN Fang, HAN Li, et al. Parameter identification and modeling method for mid-frequency environment prediction of typical structure[J]. Structure and Environment Engineering, 2014, 41(5): 38-44. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-QDHJ201405007.htm
    [10]
    高群涛, 姚熊亮, 崔洪斌. 结构辐射噪声统计能量分析中参数的灰色预测[J]. 哈尔滨工程大学学报, 2006, 27(1): 48-52. https://www.cnki.com.cn/Article/CJFDTOTAL-HEBG200601009.htm

    GAO Quntao, YAO Xiongliang, CUI Hongbin. Prediction of statistical energy analysis parameter in structure diffused noise[J]. Journal of Harbin Engineering University, 2006, 27(1): 48-52. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-HEBG200601009.htm
    [11]
    DING W Z, LI X H, YANG H, et al. Utilizing statistical information for interval analysis: a method for analyzing the interval uncertainty of line-of-sight measurement error of space-borne observation platforms[J]. IEEE Access, 2020, 8: 67868-67886. doi: 10.1109/ACCESS.2020.2982421
    [12]
    GUO X M, MA H, ZHANG X F, et al. Uncertain frequency responses of clamp-pipeline systems using an interval-based method[J]. IEEE Access, 2020, 8: 29370-29384.
    [13]
    ZHAO J Z, YAO G F, LIU R Y, et al. Interval analysis of the eigenvalues of closed-loop control systems with uncertain parameters[J]. Actuators, 2020, 9(2): 31.
    [14]
    ZHOU Y T, JIANG C, HAN X. Interval and subinterval analysis methods of the structural analysis and their error estimations[J]. International Journal of Computational Methods, 2006, 3(2): 229-244.
    [15]
    LYON R H, DEJONG R G. Theory and Applications of Statistical Energy Analysis[M]. 2nd ed. The MIT Press, 1995.
    [16]
    MAO B Y, XIE S L, XU M L, et al. Simulated and experimental studies on identification of impact load with the transient statistical energy analysis method[J]. Mechanical Systems and Signal Processing, 2014, 46: 307-324.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(10)  / Tables(9)

    Article Metrics

    Article views (242) PDF downloads(31) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return