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工程设计学报
工程设计学报  2018, Vol. 25 Issue (5): 576-582    DOI: 10.3785/j.issn.1006-754X.2018.05.012
建模、仿真、分析与决策     
基于BP神经网络的转动架稳定性灵敏度分析
唐林, 许志沛, 贺田龙, 敖维川
西南交通大学 机械工程学院, 四川 成都 610031
Sensitivity analysis of rotation frame stability based on BP neural network
TANG Lin, XU Zhi-pei, HE Tian-long, AO Wei-chuan
School of Mechanical Engineering, Southwest Jiaotong University, Chengdu 610031, China
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摘要：

转动架作为某型游乐设备的关键部件，其固有频率和屈曲强度直接关系着结构的稳定性。运用有限元软件ANSYS Workbench建立转动架的有限元模型，通过模态分析和谐响应分析得到对转动架振动影响最为显著的固有频率，通过屈曲稳定性分析得到转动架失稳时的屈曲特征值，并运用试验设计获得140个样本点。为探索各个设计参数对转动架固有频率和屈曲强度的灵敏度，运用MATLAB软件建立BP（back propagation，反向传播）神经网络数学模型并对样本点进行拟合，再通过Isight与MATLAB的集成应用，利用描述性蒙特卡洛抽样法对神经网络模型进行数值模拟。结果表明：对转动架稳定性影响较大的危险模态主要是第10至第12阶模态；对转动架危险模态频率影响较大的主要是肢杆壁厚度、肢杆截面长度和肢杆截面宽度，而对转动架屈曲稳定性影响较为明显的则是肢杆、腹杆和圆板的6个尺寸参数。研究结果表明，合理地改善对转动架稳定性影响较大的设计参数将有效地提升其稳定性和设计效率，这可为该结构的后续设计和优化提供一定的借鉴和参考。
关键词： 转动架;  稳定性;  BP神经网络;  蒙特卡洛;  灵敏度    
Abstract:

The rotation frame is a key component of the amusement equipment. The natural frequency and buckling strength of the rotation frame have a direct impact on the stability of the structure. Finite element software ANSYS Workbench was used to establish a finite element model of the rotation frame. The natural frequency that had the most significant influence on the rotation frame was obtained through the modal analysis and harmonic response analysis. The buckling eigenvalue when the structure was unstable was obtained through buckling stability analysis. Then 140 test points were obtained by using the experimental design. In order to explore the sensitivity of various design variables to the natural frequency and buckling strength of the rotation frame, a BP(back propagation) neural network mathematical model was established through MATLAB software to fit test points. Combining the use of Isight and MATLAB, a descriptive Monte Carlo sampling method was used to numerically simulate the neural network model. The research results showed that the most dangerous modes that had a significant influence on the stability of rotation frame were the 10th to 12th modes. The result of parameter sensitivity analysis indicated that the parameters which had a mainly affect on the rotation frame dangerous modal frequencies were the limb wall thickness, limb section length and limb section width, in addition, the structure parameters which had the most significant influence on the structural buckling stability were six dimensional parameters of the slewing shank, the web, and the circular plate. The conclusion shows that the reasonable improvement of a part of design parameters that effect on the stability of the rotation frame will effectively improve the structural stability and design efficiency. This will provide a certain reference for the subsequent design improvement and optimization of the structure.
Key words: rotation frame    stability    BP(back propagation) neural network    Monte Carlo    sensitivity
收稿日期: 2018-05-06 出版日期: 2018-10-28
CLC:  TH122  
基金资助:

中央高校基本科研业务费专项资金资助项目（2015ZT03）
通讯作者: 许志沛(1959-),男,上海人,副教授,硕士,从事起重运输与工程机械研究,E-mail:xzp_xnjd@sina.com     E-mail: xzp_xnjd@sina.com
作者简介: 唐林(1993-),男,四川德阳人,硕士生,从事结构分析与优化研究,E-mail:819457252@qq.com,https://orcid.org/0000-0002-0215-1879
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引用本文:

唐林, 许志沛, 贺田龙, 敖维川. 基于BP神经网络的转动架稳定性灵敏度分析[J]. 工程设计学报, 2018, 25(5): 576-582.

TANG Lin, XU Zhi-pei, HE Tian-long, AO Wei-chuan. Sensitivity analysis of rotation frame stability based on BP neural network[J]. Chinese Journal of Engineering Design, 2018, 25(5): 576-582.

链接本文:

https://www.zjujournals.com/gcsjxb/CN/10.3785/j.issn.1006-754X.2018.05.012    或    https://www.zjujournals.com/gcsjxb/CN/Y2018/V25/I5/576

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