悬臂梁结构单点非高斯激励动态位移响应分析

林武强; 陶俊勇; 程红伟

doi:10.13433/j.cnki.1003-8728.2016.0207

悬臂梁结构单点非高斯激励动态位移响应分析

doi: 10.13433/j.cnki.1003-8728.2016.0207

1.
海军装备研究院, 北京 100061;
2.
国防科技大学装备综合保障技术重点实验室, 长沙 410073

基金项目:

国家自然科学基金项目(50905181)资助

详细信息

作者简介:
林武强(1966-),高级工程师,博士,研究方向为可靠性设计,可靠性试验与评估,lin_wu_qiang@sina.com.cn

计量
- 文章访问数: 209
- HTML全文浏览量: 43
- PDF下载量: 7
- 被引次数: 0
出版历程
- 收稿日期: 2014-02-12
- 刊出日期: 2016-02-05

The Displacement Response Analysis of Cantilever Beam Subjected to Non-Gaussian Random Loadings

1.
Naval Academy of Armament, Beijing 100061, China;
2.
Science and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology, Changsha 410073, China

摘要

摘要: 针对非高斯随机载荷的复杂性,研究了悬臂梁结构在单点非高斯激励下的位移响应问题。通过定性分析非高斯随机载荷的统计特性和频谱特征指出基于功率谱的频域方法对于非高斯过程不完全适用,并进一步说明基于高阶谱的分析方法很难展开应用。通过理论研究建立了悬臂梁结构时域非高斯激励位移响应计算公式,并确定了影响结构位移响应峭度值的不同因素。通过仿真计算具体分析了激励位置、平稳性和阻尼比对结构位移响应非高斯性的影响。
- 非高斯随机载荷 /
- 模态振型 /
- 随机振动 /
- 悬臂梁 /
- 峭度
Abstract: The non-Gaussian random loading is complicated to characterize. In this study, the displacement response of the cantilever beam under the single-point non-Gaussian excitation is investigated. Firstly, the statistical characteristics and spectral properties are analyzed qualitatively, and it shows that the spectral method based on power spectrum is not quite suitable for non-Gaussian process and it is difficult to apply the method based on higher-order spectrum in the response analysis. Secondly, the time-domain formulae for the response analysis of a cantilever beam excited by non-Gaussian input are established. Then the factors that will affect the kurtosis value of the displacement response are determined. Finally, the influence of the excitation point, steady properties and damping ratio to the kurtosis value is examined by numerical simulations.
- kurtosis /
- modal analysis /
- non-Gaussian random loading /
- random vibration /
- vibration analysis

HTML全文

参考文献(18)

[1]	Benasciutti D. Fatigue analysis of random loadings[D]. Ferrara:Department of Engineering, University of Ferrara, 2004
[2]	Benasciutti D, Tovo R. Cycle distribution and fatigue damage assessment in broad-band non-Gaussian random processes[J]. Probabilistic Engineering Mechanics, 2005,20(2):115-127
[3]	Rouillard V. The synthesis of road vehicle vibrations based on the statistical distribution of segment lengths[C]//Proceedings of 5th Australasian Congress on Applied Mechanics, Brisbane, Australia:ACAM, 2007,1:614-619
[4]	叶继红,侯信真.大跨屋盖脉动风压的非高斯特性研究[J].振动与冲击,2010,29(7):9-15 Ye J H, Hou X Z. Non-Gaussian features of fluctuating wind pressures on long span roofs[J]. Journal of Vibration and Shock, 2010,29(7):9-15(in Chinese)
[5]	何军.非高斯荷载作用下结构首次失效时间分析的Monte Carlo模拟方法[J].振动与冲击,2007,26(3):59-60,71 He J. Monte Carlo simulation for first failure time of structures excited by non-Gaussian load[J]. Journal of Vibration and Shock, 2007,26(3):59-60,71(in Chinese)
[6]	蒋瑜,陶俊勇,王得志,等.一种新的非高斯随机振动数值模拟方法[J].振动与冲击,2012,31(19):169-173 Jiang Y, Tao J Y, Wang D Z, et al. A novel approach for numerical simulation of a non-Gaussian random vibra-tion[J]. Journal of Vibration and Shock, 2012,31(19):169-173(in Chinese)
[7]	Steinwolf A, Ibrahim R A. Numerical and experimental studies of linear systems subjected to non-Gaussian random excitations[J]. Probabilistic Engineering Mechanics, 1999,14(4):289-299
[8]	Wang J. Non-Gaussian stochastic dynamic response and fatigue of offshore structures[D]. College Station:Department of Civil Engineering, Texas A & M University, 1992
[9]	Wang X Y, Sun J Q. Multi-stage regression fatigue analysis of non-Gaussian stress processes[J]. Journal of Sound and Vibration, 2005,280(1-2):455-465
[10]	Grigoriu M. Linear models for non-Gaussian processes and applications to linear random vibration[J]. Probabilistic Engineering Mechanics, 2011,26(3):461-470
[11]	Benasciutti D, Tovo R. Fatigue life assessment in non-Gaussian random loadings[J]. International Journal of Fatigue, 2006,28(7):733-746
[12]	Mendel J M. Tutorial on higher-order statistics (spectra) in signal processing and system theory:theoretical results and some applications[J]. Proceedings of the IEEE, 1991,79(3):278-305
[13]	Kay S M. Modern spectral estimation:theory and application[M]. New Jersey:Prentice Hall, 1988
[14]	张贤达.现代信号处理[M].2版.北京:清华大学出版社,2002 Zhang X D. Modern signal processing[M]. 2 edition. Beijing:Tsinghua University Press, 2002(in Chinese)
[15]	蒋瑜.频谱可控的超高斯随机振动环境模拟技术及其应用研究[D].长沙:国防科技技术大学,2005 Jiang Y. Research on the simulation of super-Gaussian random vibration environment with controllable frequency spectrum and its applications[D]. Changsha:National University of Defense Technology, 2005
[16]	李锦华,李春祥,申建红.非高斯脉动风压的模拟研究[J].振动与冲击,2009,28(9):5-9 Li J H, Li C X, Shen J H. Simulation of non-Gaussian fluctuating wind pressure[J]. Journal of Vibration and Shock, 2009,28(9):5-8(in Chinese)
[17]	Rouillard V. On the non-Gaussian nature of random vehicle vibrations[C]//Proceedings of the World Congress on Engineering 2007, London, UK:WCE, 2007:1219-1224
[18]	Steinberg D S. Vibration analysis for electronic equipment[M]. 3 edition. New York:John Wiley & Sons Inc, 2000