First and second-order sensitivity method of structure static displacement

被引:0
|
作者
Ma K. [1 ]
Li B.-H. [1 ]
Yang K. [2 ]
Liu Q.-L. [1 ]
机构
[1] College of Mechanical and Aerospace Engineering, Jilin University, Changchun
[2] Basic Education College of Aviation University of Air Force, Changchun
关键词
Epsilon algorithm; Improved Newman series; Sensitivity analysis; Structural reanalysis;
D O I
10.13229/j.cnki.jdxbgxb20191183
中图分类号
学科分类号
摘要
Based on Epsilon algorithm and improved Neumann series, an approximate method for calculating the first and second order sensitivity of structural static displacement is proposed. First, the Epsilon algorithm is combined with the improved Neumann series to form a new fast approximate calculation method of static displacement, and a fast approximate calculation method of the first-order sensitivity of static displacement is derived. Then, the second-order sensitivity approximate calculation method of static displacement is further derived by combining the difference method with the first-order sensitivity method. The sensitivity calculation results of truss model and beam model show the engineering application value of the two sensitivity methods. © 2021, Jilin University Press. All right reserved.
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页码:472 / 477
页数:5
相关论文
共 14 条
  • [1] Arora J., Servey of structural reanalysis techniques, Journal of the Structural Division American Society of Civil Engineers, 102, 4, pp. 783-802, (1976)
  • [2] Kirsch U, Rubinstein M F., Structural reanalysis by iteration, Computers and Structures, 2, 4, pp. 497-510, (1972)
  • [3] Wang H, Li E, Li G., A parallel reanalysis method based on approximate inverse matrix for complex engineering problems, Journal of Mechanical Design, 135, 8, (2013)
  • [4] Wang Hu, Chong Hao, Gao Guo-qiang, Et al., Review of advances and outlook in reanalysis methods, Engineering Mechanics, 34, 5, pp. 1-16, (2017)
  • [5] Kirsch U., Implementation of combined approximations instructural optimization, Computers and Structures, 78, 1-3, pp. 449-457, (2000)
  • [6] Kirsch U., Approximate vibration reanalysis of structures, AIAA Journal, 41, 3, pp. 504-511, (2003)
  • [7] Kirsch U., A unified reanalysis approach for structural analysis design and optimization, Structural and Multidisciplinary Optimization, 25, 2, pp. 67-85, (2003)
  • [8] Zuo W, Yu Z, Zhao S, Et al., A hybrid fox and Kirsch's reduced basis method for structural static reanalysis, Structural and Multidisciplinary Optimization, 46, 2, pp. 261-272, (2012)
  • [9] Sun R, Liu D, Xu T, Et al., New adaptive technique of Kirsch method for structural reanalysis, AIAA Journal, 52, 3, pp. 486-495, (2014)
  • [10] Liu Han-bing, Chen Su-huan, Boundary element perturbation method for shape design sensitivity analysis of structural dynamic character, Journal of Vibration and Shock, 12, 3, pp. 25-30, (1993)