Probability density evolution method for dynamic response analysis of structures with uncertain parameters

被引:290
|
作者
Li, J [1 ]
Chen, JB [1 ]
机构
[1] Tongji Univ, Dept Bldg Engn, Shanghai 200092, Peoples R China
关键词
stochastic structures; dynamic response; probability density evolution equation; precise time integration; the finite difference method;
D O I
10.1007/s00466-004-0583-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Probability density evolution method is proposed for dynamic response analysis of structures with random parameters. In the present paper, a probability density evolution equation (PDEE) is derived according to the principle of preservation of probability. With the state equation expression, the PDEE is further reduced to a one-dimensional partial differential equation. The numerical algorithm is studied through combining the precise time integration method and the finite difference method with TVD schemes. The proposed method can provide the probability density function (PDF) and its evolution, rather than the second-order statistical quantities, of the stochastic responses. Numerical examples, including a SDOF system and an 8-story frame, are investigated. The results demonstrate that the proposed method is of high accuracy and efficiency. Some characteristics of the PDF and its evolution of the stochastic responses are observed. The PDFs evidence heavy variance against time. Usually, they are much irregular and far from well-known regular distribution types. Additionally, the coefficients of variation of the random parameters have significant influence on PDF and second-order statistical quantities of responses of the stochastic structure.
引用
收藏
页码:400 / 409
页数:10
相关论文
共 50 条
  • [1] Probability density evolution method for dynamic response analysis of structures with uncertain parameters
    J. Li
    J. B. Chen
    [J]. Computational Mechanics, 2004, 34 : 400 - 409
  • [2] Probability density evolution method for dynamic response analysis of stochastic structures
    Li, J
    Chen, JB
    [J]. ADVANCES IN STOCHASTIC STRUCTURAL DYNAMICS, 2003, : 309 - 316
  • [3] Response and reliability analysis of nonlinear uncertain dynamical structures by the probability density evolution method
    Nielsen S.R.K.
    Peng Y.B.
    Sichani M.T.
    [J]. International Journal of Dynamics and Control, 2016, 4 (2) : 221 - 232
  • [4] The probability density evolution method for dynamic response analysis of non-linear stochastic structures
    Li, J
    Chen, JB
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2006, 65 (06) : 882 - 903
  • [5] A new method for the uncertain response analysis of structures with uncertain parameters
    Xie, J
    Sun, Y
    Guan, G
    [J]. ACTA MECHANICA SOLIDA SINICA, 2003, 16 (01) : 47 - 51
  • [6] A NEW METHOD FOR THE UNCERTAIN RESPONSE ANALYSIS OF STRUCTURES WITH UNCERTAIN PARAMETERS
    Xie Jun Sun Yan (Dept.Of Engineering Mechanics
    [J]. Acta Mechanica Solida Sinica, 2003, (01) : 47 - 51
  • [7] Dynamic response and reliability analysis of structures with uncertain parameters
    Li, J
    Chen, JB
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2005, 62 (02) : 289 - 315
  • [8] Probability density evolution analysis of stochastic seismic response of structures with dependent random parameters
    Wan, Zhiqiang
    Chen, Jianbing
    Li, Jie
    [J]. PROBABILISTIC ENGINEERING MECHANICS, 2020, 59 (59)
  • [9] Dynamic response of structures with uncertain parameters
    Cai, Z. H.
    Yang, Y. W.
    Liu, Y.
    [J]. 9TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS AND 4TH ASIAN PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS, 2010, 10
  • [10] Probability density evolution analysis on nonlinear response of concrete structures
    Li, J
    Chen, JB
    [J]. ICACS 2003: INTERNATIONAL CONFERENCE ON ADVANCES IN CONCRETE AND STRUCTURES, VOL 1 AND 2, 2003, 32 : 1141 - 1148