考虑不平衡分布不确定性的柔性转子优化设计

Q3 Mathematics

International Journal for Simulation and Multidisciplinary Design Optimization Pub Date : 2020-01-01 DOI:10.1051/smdo/2020005

Shengxi Jia, L. Zheng, Qing Mei

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引用次数: 1

摘要

本文对考虑不平衡不确定性的柔性转子进行了优化设计。假设不平衡的大小和相位分别服从正态分布和均匀分布，可以定量描述不确定性。考虑这种不确定性，采用经典的6西格玛方法对转子系统进行不确定优化设计。通过实验验证了理论结果，在转子上人为分配36组不平衡来模拟不确定性。实验中，两个圆盘的幅值响应和两个轴承的加速度响应的标准差分别降低了14%、21.5%、37.2%和46%。结果表明，考虑不确定性的优化设计可以减小响应的波动，提高结果的鲁棒性。

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Flexible rotor optimization design with considering the uncertainty of unbalance distribution

A flexible rotor optimization design considering the uncertainty of the unbalance is carried out in this paper. Assuming that the magnitude and phase of unbalance obey normal distribution and uniform distribution respectively, the uncertainty can be quantitatively described. The classical 6 Sigma method is used to perform uncertain optimization design of the rotor system considering this uncertainty. The theoretical results are verified by experiments in which 36 sets of unbalance are artificially distributed to the rotor to simulate the uncertainty. In experiment, the amplitude response of the two disks and the acceleration response of the two bearings are decreased by 14%, 21.5%, 37.2% and 46% respectively in terms of standard deviation. It can be concluded that the optimization design considering the uncertainty can reduce the fluctuation of the response and improving the robustness of the results.

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来源期刊

International Journal for Simulation and Multidisciplinary Design Optimization Mathematics-Control and Optimization

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

16 weeks

期刊介绍： The International Journal for Simulation and Multidisciplinary Design Optimization is a peer-reviewed journal covering all aspects related to the simulation and multidisciplinary design optimization. It is devoted to publish original work related to advanced design methodologies, theoretical approaches, contemporary computers and their applications to different fields such as engineering software/hardware developments, science, computing techniques, aerospace, automobile, aeronautic, business, management, manufacturing,... etc. Front-edge research topics related to topology optimization, composite material design, numerical simulation of manufacturing process, advanced optimization algorithms, industrial applications of optimization methods are highly suggested. The scope includes, but is not limited to original research contributions, reviews in the following topics: Parameter identification & Surface Response (all aspects of characterization and modeling of materials and structural behaviors, Artificial Neural Network, Parametric Programming, approximation methods,…etc.) Optimization Strategies (optimization methods that involve heuristic or Mathematics approaches, Control Theory, Linear & Nonlinear Programming, Stochastic Programming, Discrete & Dynamic Programming, Operational Research, Algorithms in Optimization based on nature behaviors,….etc.) Structural Optimization (sizing, shape and topology optimizations with or without external constraints for materials and structures) Dynamic and Vibration (cover modelling and simulation for dynamic and vibration analysis, shape and topology optimizations with or without external constraints for materials and structures) Industrial Applications (Applications Related to Optimization, Modelling for Engineering applications are very welcome. Authors should underline the technological, numerical or integration of the mentioned scopes.).