随机参数旋转柔性梁运动功能可靠性分析

doi:10.3969/j.issn.1001-2400.2013.05.023

J4 ›› 2013, Vol. 40 ›› Issue (5): 141-147.doi: 10.3969/j.issn.1001-2400.2013.05.023

• Original Articles • Previous Articles Next Articles

Motion function reliability analysis of a rotating flexible beam with random parameters

ZHAO Kuan;CHEN Jianjun;CAO Hongjun;YUN Yonghu

(Ministry of Education Key Lab. of Electronic Equipment Structure, Xidian Univ., Xi'an 710071， China)

Received:2012-05-24 Online:2013-10-20 Published:2013-11-27
Contact: ZHAO Kuan E-mail:xinkuan123@126.com

Abstract

Abstract:

The assumed mode method and stochastic response surface method are combined to analyze the motion function reliability of a rotating flexible beam with random parameters. Firstly, based on Lagrange's equations and the assumed mode method, the rigid-flexible coupling dynamic model which takes the coupling term of the deformation in the expression of longitudinal deformation is studied. Then considering the physical and geometrical parameters under randomness, the probability analysis is made by the stochastic response surface method. The rationality and efficiency of the modeling and the method presented are verified by an example. The results demonstrate that the third order stochastic response surface method leads to good precision with acceptable time consumption compared with the Monte Carlo (MC) method, and that the randomness of density has a greater effect on the reliability of the system.

Key words: rotating flexible beam, Lagrange's equations, assumed mode method, stochastic response surface method, reliability analysis

CLC Number:

O313.7

ZHAO Kuan;CHEN Jianjun;CAO Hongjun;YUN Yonghu. Motion function reliability analysis of a rotating flexible beam with random parameters[J].J4, 2013, 40(5): 141-147.

References

［1］ Chung J, Yoo H H. Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method［J］. Journal of Sound and Vibration, 2002, 249(1): 147-164.
［2］ Al-Qaisia A A, Al-Bedoor B O. Evaluation of Different Methods for the Consideration of the Effect of Rotation on the Stiffening of Rotating Beam［J］. Journal of Sound and Vibration, 2005, 280(3-5): 531-553.
［3］ Deng Fengyan, He Xingsuo, Li Liang, et al. Dynamics Modeling for a Rigid-flexible Coupling System with Nonlinear Deformation Field［J］. Multibody System Dynamics, 2007, 18(4): 559-578.
［4］杨辉, 洪嘉振, 余征跃. 刚柔耦合建模理论的实验验证［J］. 力学学报, 2003, 35(2): 253-256.
Yang Hui, Hong Jiazhen, Yu Zhengyue. Experiment Validation on Modeling Theory for Rigid-flexible Coupling Systems［J］. Act Mechanica Sinica, 2003, 35(2): 253-256.
［5］何柏岩. 柔性多体系统的广义确定性动力学模型及其仿真研究［D］. 天津：天津大学, 2003.
［6］ Wang Shuxin, Wang Yanhui, He Baiyan. Dynamic Modeling of Flexible Multibody Systems with Parameter Uncertainty［J］. Chaos, Solitons and Fractals, 2008, 36(3): 605-611.
［7］ Sandu C, Sandu A, Ahmadian M. Modeling Multibody Systems with Uncertainties. Part II: Numerical Applications［J］. Multibody System Dynamics, 2006, 15(3): 241-262.
［8］皮霆, 张云清, 吴景铼. 基于多项式混沌方法的柔性多体系统不确定性分析［J］. 中国机械工程, 2011, 22(19): 2341-2348.
Pi Ting, Zhang Yunqing, Wu Jinglai. Uncertainty Analysis of Flexible Multibody Systems Using Polynomical Chaos Methods［J］. China Mechanical Engineering, 2011, 22(19): 2341-2348.
［9］蔡国平, 洪嘉振. 旋转柔性梁的假设模态方法研究［J］. 力学学报, 2005, 37(1): 48-56.
Cai Guoping, Hong Jiazhen. Assumed Mode Method of a Rotating Flexible Beam［J］. Act Mechanica Sinica, 2005, 37(1): 48-56.
［10］ Cameron R, Marin W. The Orthogonal Development of Nonlinear Functional in Series of Fourier-Hermite Functional［J］. Annals of Mathematics, 1947, 48: 385.
［11］ Isulapalli S S, Roy A, Georgopoulos P G. Stochastic Response Surface Methods for Uncertainty Propagation: Application to Environmental and Biological System［J］. Risk Analysis, 1998, 18(3): 351-363.
［12］陈建军, 马洪波, 马娟, 等. 基于随机因子的结构分析方法［J］. 工程力学, 2012, 29(4): 15-23.
Chen Jianjun, Ma Hongbo, Ma Juan, et al. Structure Analysis Method Based on Random Factor［J］. Engineering Mechanics, 2012, 29(4): 15-23.

[1]	FANG Min;ZHOU Shuyue;CHEN Yongmei;WANG Hongchun;QIU Zheng;ZHANG Zhendong;XIAO Chenguang. Variable sorting based on fault tree structure adjustment for multi-valued decision diagrams [J]. Journal of Xidian University, 2017, 44(6): 20-25+36.
[2]	JIN Hongling;GUO Chengyang;CHEN Jun;CHEN Jianjun. Dynamic reliability analysis of spacial flexible beam [J]. Journal of Xidian University, 2017, 44(6): 138-143.
[3]	MA Hong-bo;CHEN Jian-jun;CUI Ming-tao;GAO Wei;LIU Wei. Analysis of the finite element and reliability for stochastic truss structures [J]. J4, 2003, 30(1): 103-107.

Motion function reliability analysis of a rotating flexible beam with random parameters

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 3

Metrics

Comments

Recommended 0