An efficient method for non-stationary random vibration analysis of beams

被引：7
|
作者：
Yang, Jie [1 ]
Zhao, De-You [1 ]
Hong, Ming [1 ]
机构：
[1] Dalian Univ Technol, Dept Naval Architecture Engn, Dalian 116023, Peoples R China
来源：
JOURNAL OF VIBRATION AND CONTROL | 2011年 / 17卷 / 13期
关键词：
Dynamic stiffness matrix; non-stationary random; precise integral method; pseudo-excitation; DYNAMIC STIFFNESS MATRIX; INTEGRATION METHOD;
D O I：
10.1177/1077546310395961
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
An efficient method is presented to investigate the non-stationary random vibration response of structures. This method has the advantage of the accuracy of theoretical method in dealing with random loads and the versatility of the finite element method (FEM) in dealing with structures. In this paper, the Euler beam is adopted in the derivation of the governing equation. The uncoupled approach of the frequency-dependent system matrices is presented for solving the motion equation of forced vibration. The time-variance random dynamic response of the beam is analyzed by the precise integral method, meanwhile, the pseudo-excitation is applied to transform the non-stationary random excitation into deterministic pseudo one to simplify the solution of the dynamic equation. Solutions calculated by the FEM with different time step and theoretical analysis are also obtained for comparison. Numerical examples demonstrate the accuracy and high efficiency of the proposed method.
引用
收藏
页码：2015 / 2022
页数：8
相关论文
共 50 条
  • [21] Accurate and highly efficient algorithms for structural stationary/non-stationary random responses
    Lin, JH
    Zhao, Y
    Zhang, YH
    [J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 191 (1-2) : 103 - 111
  • [22] Non-stationary random vibration of FE structures subjected to moving loads
    Lu, F.
    Kennedy, D.
    Williams, F. W.
    Lin, J. H.
    [J]. SHOCK AND VIBRATION, 2009, 16 (03) : 291 - 305
  • [23] DFT accelaration and its application in non-stationary random vibration calculation
    [J]. Zhendong Gongcheng Xuebao, 1 (91-96):
  • [24] Non-stationary random vibration of bridges under vehicles with variable speed
    Yin, Xinfeng
    Fang, Zhi
    Cai, C. S.
    Deng, Lu
    [J]. ENGINEERING STRUCTURES, 2010, 32 (08) : 2166 - 2174
  • [25] Auxiliary harmonic excitation generalized method for random vibration analysis of linear structures under non-stationary Gaussian excitation
    Sheng, Xiangqian
    Fan, Wenliang
    Yang, Xiaoyang
    Li, Zhengliang
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2022, 172
  • [26] Stationary and non-stationary vibration of atomising discs
    Ouyang, Huajiang
    [J]. JOURNAL OF SOUND AND VIBRATION, 2007, 308 (3-5) : 699 - 708
  • [27] ANALYSIS OF NON-STATIONARY VIBRATION MODE MECHANICAL DEVICE
    Sulka, P.
    Sapietova, A.
    Dekys, V.
    Sapieta, M.
    [J]. ENGINEERING MECHANICS 2017, 2017, : 950 - 953
  • [28] An explicit time-domain approach for sensitivity analysis of non-stationary random vibration problems
    Hu, Zhiqiang
    Su, Cheng
    Chen, Taicong
    Ma, Haitao
    [J]. JOURNAL OF SOUND AND VIBRATION, 2016, 382 : 122 - 139
  • [29] A STUDY ON TIME DOMAIN APPROACH FOR RANDOM VIBRATION ANALYSIS OF STRUCTURES SUBJECTED TO NON-STATIONARY EXCITATIONS
    Su, Cheng
    [J]. INNOVATION & SUSTAINABILITY OF STRUCTURES, VOLS 1 AND 2, 2011, : 1464 - 1464
  • [30] Non-stationary random vibration analysis of three-dimensional train-bridge systems
    Zhang, Z. C.
    Lin, J. H.
    Zhang, Y. H.
    Howson, W. P.
    Williams, F. W.
    [J]. VEHICLE SYSTEM DYNAMICS, 2010, 48 (04) : 457 - 480
12345