A sensitivity modal interval analysis method and its application to uncertain parameter identification

被引：0
|
作者：
Luo Y.-P. [1 ]
Huang F.-L. [1 ]
Han J.-P. [2 ]
Wu Y.-B. [1 ]
Yang M.-G. [1 ]
机构：
[1] School of Civil Engineering, Central South University, Changsha
[2] School of Civil Engineering, Lanzhou University of Technology, Lanzhou
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2016年 / 29卷 / 04期
关键词：
Modal interval analysis; Parameter identification; Response surface method; Sensitivity analysis; Uncertain parameters;
D O I：
10.16385/j.cnki.issn.1004-4523.2016.04.003
中图分类号：
学科分类号：
摘要：
Because of the unknown expression of response and the interval overall estimation, interval sensitivity analysis method is difficult to be used in complex structures. For this reason, a new sensitivity modal interval analysis method based on response surface model is presented in this paper. The reasonable experiment design and regression analysis method are adopted to build an interval response surface model which reflects the relationship between parameters and responses. Then the modal interval extension is applied to each interval parameter in the model to get the value ranges of structural responses. The influence degree of parameter on structural responses is estimated by comparing the calculated value of relative modal interval sensitivity. The effect of the response surface form on the result of modal interval sensitivity analysis is discussed, and the advantages and disadvantages of classic interval sensitivity analysis and modal interval sensitivity analysis are explored through the numerical simulation example. Finally, the proposed approach is applied to the uncertain parameter identification of steel plates and the reinforced concrete arch bridge, respectively. The sensitivity analysis results show that the proposed method can solve the problem of interval overall estimation and be available to the sensitivity analysis of a complex structure. The process of interval optimum can be avoided by the combination of the inverse response surface and modal interval analysis method. The computational efficiency is improved without decrease the precision. © 2016, Nanjing Univ. of Aeronautics an Astronautics. All right reserved.
引用
收藏
页码：577 / 584
页数：7
相关论文
共 16 条
  • [1] Tang M.-P., Yan G.-P., Overview of structural sensitivity analysis and computation method, China Railway Science, 24, 1, pp. 74-78, (2003)
  • [2] Wang S.Y., Sun Y., Gallagher R.H., Sensitivity analysis in shape optimization of continuum structures, Computer and Structure, 20, pp. 855-867, (1985)
  • [3] Guo L., Li Z.-X., Gao X.-W., Static model updating method VIA complex domain sensitivity analysis, Engineering Mechanics, 27, 8, pp. 100-106, (2010)
  • [4] Qiu Z., Convex Method Based on Non-probabilistic Set-theory and Its Application, (2005)
  • [5] Moens D., Vandepitte D., Interval sensitivity theory and its application to frequency response envelope analysis of uncertain structures, Computer Methods in Applied Mechanics and Engineering, 196, pp. 2486-2496, (2007)
  • [6] Qiu Z.-P., Wang X.-J., An interval method for sensitivity analysis of the structures, Acta Armamentarii, 26, 6, pp. 798-802, (2005)
  • [7] Fang S.-E., Zhang Q.-H., Lin Y.-Q., Et al., Uncertain parameter identification using interval response surface model updating, Journal of Vibration Engineering, 28, 1, pp. 73-81, (2015)
  • [8] Modal intervals applications of interval analysis to systems and control, MISC 99, pp. 157-227, (1999)
  • [9] Modal intervals, Reliab. Comp., 7, pp. 77-111, (2001)
  • [10] Moore R., Yang C., Interval analysis, technical document, Lockheed Missiles and Space Division, (1959)
12