基于模态综合法的含间隙折叠舵面动态特性分析

doi:10.7527/S1000-6893.2019.23507

固体力学与飞行器总体设计

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基于模态综合法的含间隙折叠舵面动态特性分析

王强^1,2, 马志赛^1,2, 张欣³, 刘艳³, 丁千^1,2

1. 天津大学机械工程学院, 天津 300350;
2. 天津市非线性动力学与控制重点实验室, 天津 300350;
3. 北京电子工程总体研究所, 北京 100854

收稿日期:2019-09-18 修回日期:2019-10-08 出版日期:2020-05-15 发布日期:2019-10-24
通讯作者: 丁千 E-mail:qding@tju.edu.cn
基金资助:
国家自然科学基金（11802201，51575378，11972245）；中国博士后科学基金（2017M621075）

Dynamic characteristic analysis for a folding fin with freeplay nonlinearities based on mode synthesis method

WANG Qiang^1,2, MA Zhisai^1,2, ZHANG Xin³, LIU Yan³, DING Qian^1,2

1. School of Mechanical Engineering, Tianjin University, Tianjin 300350, China;
2. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin 300350, China;
3. Beijing Institute of Electronic System Engineering, Beijing 100854, China

Received:2019-09-18 Revised:2019-10-08 Online:2020-05-15 Published:2019-10-24
Supported by:
National Natural Science Foundation of China (11802201,51575378,11972245); China Postdoctoral Science Foundation (2017M621075)

摘要/Abstract

摘要： 基于模态综合法对含间隙折叠舵面的非线性动态特性进行了研究。首先根据折叠舵面的结构特性建立含铰链连接的有限元模型，并采用双协调自由界面模态综合法对折叠舵面的有限元模型进行降阶。其次对不含间隙的折叠舵面进行扫频和模态实验，检验有限元模型及其降阶动力学模型的精度，并基于模型修正得到铰链的等效线性连接刚度。最后将等效线性连接刚度和间隙值进行组合，得到不同间隙下铰链的非线性连接刚度，完成含间隙折叠舵面的非线性动力学模型建立。基于非线性动力学模型对含间隙折叠舵面进行数值扫频，计算结果与实验扫频结果吻合良好，验证了所建立非线性动力学模型的精度及其在含间隙折叠舵面非线性动态特性分析中的可行性。

关键词: 折叠舵面, 间隙非线性, 模态综合法, 有限元建模, 动态特性

Abstract: Nonlinear dynamic characteristics of a folding fin with freeplay nonlinearities are analyzed based on the mode synthesis method. Firstly, the finite element model with hinge connection is established according to the structural characteristics of the folding fin, and subsequently reduced by using the free-interface mode synthesis method. Secondly, sweeping and modal tests are carried out on the folding fin without freeplay nonlinearities to test the accuracy of the finite element model and its reduced substructure model, and the equivalent linear joint stiffness of the hinge is obtained based on the model updating. Finally, the equivalent linear joint stiffness and the freeplay value are combined to obtain the nonlinear joint stiffness of the hinge under different freeplay, and the nonlinear dynamic model of the folding fin with freeplay nonlinearities is established. Numerical simulation of the folding fin with freeplay nonlinearities is carried out based on the nonlinear dynamic model, and the calculated results are in good agreement with their experimental counterparts, which further demonstrate the accuracy of the established nonlinear dynamic model and its feasibility in the analysis of nonlinear dynamic characteristics of folding fins.

Key words: folding fin, freeplay nonlinearity, mode synthesis method, finite element modeling, dynamic characteristics

中图分类号:

V214.5
O322

王强, 马志赛, 张欣, 刘艳, 丁千. 基于模态综合法的含间隙折叠舵面动态特性分析[J]. 航空学报, 2020, 41(5): 223507-223507.

WANG Qiang, MA Zhisai, ZHANG Xin, LIU Yan, DING Qian. Dynamic characteristic analysis for a folding fin with freeplay nonlinearities based on mode synthesis method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(5): 223507-223507.

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基于模态综合法的含间隙折叠舵面动态特性分析

Dynamic characteristic analysis for a folding fin with freeplay nonlinearities based on mode synthesis method

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