空间柔性梁的动态可靠性分析

doi:10.3969/j.issn.1001-2400.2017.06.024

西安电子科技大学学报

空间柔性梁的动态可靠性分析

靳红玲1,2;郭成洋1;陈军1;陈建军2

(1. 西北农林科技大学机械与电子工程学院，陕西杨凌 712100；
2. 西安电子科技大学电子装备结构设计教育部重点实验室，陕西西安 710071)

收稿日期:2016-12-09 出版日期:2017-12-20 发布日期:2018-01-18
作者简介:靳红玲(1975-)，女，讲师，博士，E-mail：jhl929@tom.com
基金资助:
中国博士后科学基金资助项目(2015M582709)；中央高校基本科研业务费专项资金资助项目(2452015058)；博士科研启动金资助项目(2452015294)

Dynamic reliability analysis of spacial flexible beam

JIN Hongling1,2;GUO Chengyang1;CHEN Jun1;CHEN Jianjun2

(1. School of Mechano-electronic Engineering, Northwest A&F Univ., Yangling 712100, China;
2. Ministry of Education Key Lab. of Electronic Equipment Structure, Xidian Univ., Xi'an 710071, China)

Received:2016-12-09 Online:2017-12-20 Published:2018-01-18

摘要/Abstract

摘要：

对于空间柔性梁动态响应可靠度的非线性隐式功能函数，提出了一种基于单项式容积法的随机响应面法以提高其计算精度和计算效率．该方法利用单项式容积法的积分点作为样本点，并以此生成柔性梁系统动态响应的小样本对，结合随机响应面法，建立柔性梁系统动态响应可靠度功能函数的代理模型，通过该代理模型进行柔性梁系统动态响应可靠性分析．算例结果表明，与基于概率配点法的随机响应面法和蒙特卡罗法比较，这种方法具有良好的计算精度和较高的计算效率;随机参数的分散性对柔性梁系统动态响应可靠性的影响不可忽视．

关键词: 随机参数, 空间柔性梁, 随机响应面法, 单项式容积法, 动态可靠性

Abstract:

In order to investigate the dynamic response reliability of the spacial flexible beam, the Monomial Cubature Rules (MCR) based Stochastic Response Surface Method (SRSM) is applied to derive the surrogate model of the nonlinear implicit limit state function. A small set of sample pairs for flexible beam dynamic response is generated by taking the integral points of MCR as sample points. Based on these sample pairs and SRSM, the surrogate model of the implicit limit state function is established. The results show that the proposed method has an excellent performance in terms of accuracy and efficiency compared with the Probabilistic Collection Method (PCM) based SRSM and Monte Carlo method, and that the dispersion of system parameters has a significant effect on the dynamic response reliability of the spacial flexible beam.

Key words: probabilistic parameter, spacial flexible beam, stochastic response surface method, monomial cubature rules, dynamic reliability

靳红玲;郭成洋;陈军;陈建军. 空间柔性梁的动态可靠性分析[J]. 西安电子科技大学学报, 2017, 44(6): 138-143.

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.

参考文献

［1］ ZHANG X S, ZHANG D G, CHEN S J, et al. Modal Characteristics of a Rotating Flexible Beam with a Concentrated Mass Based on the Absolute Nodal Coordinate Formulation［J］. Nonlinear Dynamics, 2017, 88(1): 61-77.
［2］赵宽, 陈建军, 曹鸿钧, 等. 随机参数旋转柔性梁运动功能可靠性分析［J］. 西安电子科技大学学报, 2013, 40(5): 141-147.
ZHAO Kuan, CHEN Jianjun, CAO Hongjun, et al. Motion Function Reliability Analysis of a Rotating Flexible Beam with Random Parameters［J］. Jounal of Xidian University, 2013, 40(5): 141-147.
［3］闫业毫, 和兴锁, 邓峰岩. 空间柔性梁的刚-柔耦合动力学特性分析与仿真［J］. 西北工业大学学报, 2016, 34(3): 480-484.
YAN Yehao, HE Xingsuo, DENG Fengyan. Analyzing and Imitation of Dynamic Properties for Rigid-flexible Coupling Systems of a Spatial Flexible Beam［J］. Journal of Northwestern Polytechnical University, 2016, 34(3): 480-484.
［4］章孝顺, 章定国, 陈思佳, 等. 基于绝对节点坐标法的大变形柔性梁几种动力学模型研究［J］. 物理学报, 2016, 65(9): 148-157.
ZHANG Xiaoshun, ZHANG Dingguo, CHEN Sijia, et al. Several Dynamic Models of a Large Deformation Flexible Beam Based on the Absolute Nodal Coordinate Formulation［J］. Acta Physica Sinica, 2016, 65(9): 148-157.
［5］ HUANG X Z, LIU Y, ZHANG Y M, et al. Reliability Analysis of Structures Using Stochastic Response Surface Method and Saddlepoint Approximation［J］. Structural and Multidisciplinary Optimization, 2017, 55(6): 2003-2012.
［6］ LI D Q, CHEN Y F, LU W B, et al. Stochastic Response Surface Method for Reliability Analysis of Rock Slopes Involving Correlated Non-normal Variables［J］. Computers and Geotechnics, 2011, 38(1): 58-68.
［7］蒋水华, 李典庆, 周创兵. 随机响应面法最优概率配点数目分析［J］. 计算力学学报, 2012, 29(3): 345-351.
JIANG Shuihua, LI Dianqing, ZHOU Chuangbing. Optimal Probabilistic Collocation Points for Stochastic Response Surface Method［J］. Chinese Journal of Computational Mechanics, 2012, 29(3): 345-351.
［8］ XIONG F F, LIU Y, XIONG Y, et al. A Double Weighted Stochastic Response Surface Method for Reliability Analysis［J］. Journal of Mechanical Science and Technology, 2012, 26(8): 2573-2580.
［9］ STROUD A H. Approximate Calculation of Multiple Integrals［M］. New Jerse: Prentice-Hall, Inc., 1971: 23-329.
［10］ ISUKAPALLI S S, ROY A, GEORGOPOULOS P G. Efficient Sensitivity/Uncertainty Analysis Using the Combined Stochastic Response Surface Method and Automated Differentiation: Application to Environmental and Biological Systems［J］. Risk Analysis, 2000, 20(5): 591-602.
［11］靳红玲, 陈建军, 赵宽, 等. 空间柔性梁的随机动力学分析［J］. 西安电子科技大学学报, 2015, 42(4): 47-52.
JIN Hongling, CHEN Jianjun, ZHAO Kuan, et al. Stochastic Dynamic Analysis of a Spatial Flexible Beam［J］. Jounal of Xidian University, 2015, 42(4): 47-52.
［12］ WEI D L, CUI Z S, CHEN J. Robust Optimization Based on a Polynomial Expansion of Chaos Constructed with Integration Point Rules［J］. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2009, 223(5): 1263-1272.

[1]	靳红玲;陈建军;赵宽;曹鸿钧. 空间柔性梁的随机动力学分析[J]. J4, 2015, 42(4): 47-52+62.
[2]	赵宽;陈建军;曹鸿钧;云永琥. 随机参数旋转柔性梁运动功能可靠性分析[J]. J4, 2013, 40(5): 141-147.
[3]	宋宗凤;陈建军;朱增青. 应变能约束下多随机参数连续体结构的拓扑优化[J]. J4, 2009, 36(6): 1079-1085.
[4]	马娟;陈建军;徐亚兰;崔明涛. 模糊随机结构有限元及可靠性分析的双因子法 [J]. J4, 2009, 36(1): 69-739.
[5]	陈龙;陈建军;马娟;张雪峰. 随机参数结构振动控制的特征值分析 [J]. J4, 2008, 35(2): 324-329.
[6]	崔明涛;陈建军;马孝松. 基于概率的柔性铰链机构的优化设计 [J]. J4, 2006, 33(5): 725-729.
[7]	陈建军;王小兵. 随机参数智能板结构的动态特性分析[J]. J4, 2004, 31(5): 661-665.
[8]	马洪波;陈建军;崔明涛;高伟;刘伟. 随机参数桁架结构的有限元与可靠性分析[J]. J4, 2003, 30(1): 103-107.

空间柔性梁的动态可靠性分析

Dynamic reliability analysis of spacial flexible beam

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