变速转子瞬时不平衡响应的精细算法

doi:10.7527/S1000-6893.2014.0126

固体力学与飞行器总体设计

本期目录 | 过刊浏览 | 高级检索

前一篇 | 后一篇

变速转子瞬时不平衡响应的精细算法

岳聪¹, 任兴民¹, 杨永峰¹, 邓旺群²

1. 西北工业大学力学与土木建筑学院, 振动工程研究所, 陕西西安 710072;
2. 中国航空动力机械研究所, 湖南株洲 412002

收稿日期:2013-12-13 修回日期:2014-06-23 出版日期:2014-11-25 发布日期:2014-07-04
通讯作者: 任兴民,Tel.:029-88431000 E-mail: renxmin@nwpu.edu.cn E-mail:renxmin@nwpu.edu.cn
作者简介:岳聪男, 博士研究生.主要研究方向: 转子动力学、转子动平衡及控制. Tel: 029-88431000 E-mail: yuecong234@163.com; 任兴民男, 博士, 教授, 博士生导师.主要研究方向: 转子动力学、转子动平衡、控制及故障诊断. Tel: 029-88431000 E-mail: renxmin@nwpu.edu.cn
基金资助:
国家自然科学基金(11272257); 航空科学基金(2013ZB08001); 陕西省自然科学基金(2013KJXX-22)

A Precise Integration Method on Transient Unbalance Response of Varying Velocity Rotor

YUE Cong¹, REN Xingmin¹, YANG Yongfeng¹, DENG Wangqun²

1. Institute of Vibration Engineering, School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi'an 710072, China;
2. China Aviation Powerplant Research Institute, Zhuzhou 412002, China

Received:2013-12-13 Revised:2014-06-23 Online:2014-11-25 Published:2014-07-04
Supported by:
National Natural Science Foundation of China (11272257); Aeronautical Science Foundation of China (2013ZB08001);Natural Science Foundation of Shaanxi Province (2013KJXX-22)

摘要/Abstract

摘要：

针对变速转子瞬时不平衡响应计算积分精度不足的问题,基于传递矩阵法建立了考虑反对称陀螺力矩的变速转子瞬时不平衡响应线性运动微分方程,推导了适用于线性非定常系统的精细积分法,并通过仿真计算与Newmark-β法比较了变速转子模型下的积分计算效率和动力响应参数的瞬时不平衡识别精度.结果表明两种算法均具有较高的积分精度和计算效率,但是随着转速的增加,Newmark-β法的误差逐渐增大,而精细算法得到的瞬时不平衡响应信息与理论值保持一致.平衡效果显示了精细积分法能准确识别初始不平衡量,提高平衡精度.此外,通过真实不平衡转子在噪声影响下的试验结果进行了验证,发现升速过程中仿真结果与实际响应结果基本吻合.

关键词: 变速转子, 传递矩阵, 精细积分, 瞬态响应, 动力特性

Abstract:

In view of the disadvantages of integral precision in dynamic unbalance response of rotors, a linear differential equation with variable coefficient of motion based on transfer matrix method is established, in which the antisymmetric gyroscopic moment and acceleration process are exploited. An efficient algorithm based on precise integration method is formulated to calculate the nonstationary linear system. Integral computation efficiency and instantaneous imbalance identification precision are comparatively validated using the improved precise integration and Newmark-β method. The results show that both algorithms have high integral precision and computational efficiency, but the proposed method is efficient and estimates the response of parameters accurately during the whole accelerating process while the integral error of Newmark-β method is increased at a high rotation speed. The precise algorithm can improve balancing precision by identifying the initial unbalance accurately. In addition, this proposed algorithm is verified with an experimental rotor with both noise and unbalance. The simulation is in a good agreement with the measured values in the running-up procedure.

Key words: varying speed rotor, transfer matrix, precise integration, transient response, dynamic characteristics

中图分类号:

岳聪, 任兴民, 杨永峰, 邓旺群. 变速转子瞬时不平衡响应的精细算法[J]. 航空学报, 2014, 35(11): 3046-3053.

YUE Cong, REN Xingmin, YANG Yongfeng, DENG Wangqun. A Precise Integration Method on Transient Unbalance Response of Varying Velocity Rotor[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014, 35(11): 3046-3053.

参考文献

[1] Nagato K, Ide T, Ohno N, et al. Automatic unbalance correction of rotors by sympathetic phase inversion of ultraviolet-curing resin[J]. Precision Engineering, 2009, 33(3): 243-247.

[2] Mehdi B, Mehdi A, David M, et al. A finite element based algorithm for rubbing induced vibration prediction in rotors[J]. Journal of Sound and Vibration, 2013, 332(21): 5523-5542.

[3] Kim T, Na S. New automatic ball balancer design to re-duce transient-response in rotor system[J]. Mechanical Systems and Signal Processing, 2013, 37(1-2): 265-275.

[4] Bouaziz S, Messaoud N B, Choley J Y, et al. Transient response of a rotor AMBs system connected by a flexible mechanical coupling[J]. Mechatronics, 2013, 23(6): 573-580.

[5] Blake M P, Mitchell W S. Vibration and acoustic measurement handbook[M]. New York: Spartan Books, 1972: 7-16.

[6] Yue C, Ren X M, Deng W Q, et al. Multi-plane and multi-critical transient dynamic balance method based on rising speed response information of flexible rotor system[J]. Journal of Aerospace Power, 2013, 28(11): 2593-2599. (in Chinese) 岳聪, 任兴民, 邓旺群, 等. 基于升速响应信息柔性转子系统的多阶多平面瞬态动平衡方法[J]. 航空动力学报, 2013, 28(11): 2593-2599.

[7] Huang J P, Ren X M, Deng W Q, et al. Two-plane balancing of flexible rotor based on accelerating unbalancing response data[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(2): 400-409. (in Chinese) 黄金平, 任兴民, 邓旺群, 等. 基于不平衡加速响应信息的柔性转子双面平衡[J]. 航空学报, 2010, 31(2): 400-409.

[8] Jaroslav Z, Petr F. A computational investigation on the reducing lateral vibration of rotors with rolling-element bearings passing through critical speeds by means of tuning the stiffness of the system supports[J]. Mechanism and Machine Theory, 2011, 46(5): 707-724.

[9] Caprani C C. A modal precise integration method for the calculation of footbridge vibration response[J]. Computers & Structures, 2013, 28: 116-127.

[10] Li Q H, Chen S S, Kou G X. Transient heat conduction analysis using the MLPG method and modified precise time step integration method[J]. Journal of Computational Physics, 2011, 230(7): 2736-2750.

[11] Liu Q M, Zhang J, Yan L B. A numerical method of calculating first and second derivatives of dynamic response based on Gauss precise time step integration method[J]. European Journal of Mechanics, 2010, 29(3): 370-377.

[12] Gu J L, Ding K Y, Liu Q Z, et al. Rotor dynamic[M]. Beijing: National Defence Industry Press, 1988: 51-58. (in Chinese) 顾家柳, 丁奎元, 刘启洲, 等. 转子动力学[M]. 北京: 北京国防工业出版社, 1988: 51-58.

[13] Zhong W X. On precise time-integration method for structural dynamics[J]. Journal of Dalian University of Technology, 1994, 34(2): 131-136. (in Chinese) 钟万勰. 结构动力方程的精细时程积分法[J]. 大连理工大学学报, 1994, 34(2): 131-136.

[14] Xiang Y, Huang Y Y, Zeng G W. Error analysis and accuracy design for the precise time-integration method[J]. Chinese Journal of Computational Mechanics, 2009, 19(3): 276-280.(in Chinese) 向宇, 黄玉盈, 曾革委. 精细时程积分法的误差分析与精度设计[J]. 计算力学学报, 2009, 19(3): 276-280.

[15] Zhang J F, Deng Z C. Dimensional increment and partitioning precise integration method for structural dynamic equation[J]. Journal of Vibration and Shock, 2008, 27(12): 88-90. (in Chinese) 张继锋, 邓子辰. 结构动力方程的增维分块精细积分法[J]. 振动与冲击, 2008, 27(12): 88-90.

[16] Wensch J, Däne M, Hergert W, et al. The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control[J]. Computer Physics Communications, 2004, 160(2): 129-139.

E-mail：hkxb@buaa.edu.cn

关于我们

期刊社服务

专业学科

封面文章

友情链接

主管单位：中国科学技术协会主办单位：中国航空学会北京航空航天大学

变速转子瞬时不平衡响应的精细算法

A Precise Integration Method on Transient Unbalance Response of Varying Velocity Rotor

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	梁宽, 付莉莉, 张晓鹏, 罗阳军. 基于材料场级数展开的结构动力学拓扑优化[J]. 航空学报, 2022, 43(9): 226002-226002.
[2]	傅杨奥骁, 丁明松, 刘庆宗, 江涛, 石润, 董维中, 高铁锁. 轨控系统热喷干扰效应数值模拟[J]. 航空学报, 2022, 43(9): 125941-125941.
[3]	张万福, 王应飞, 张晓斌, 杨兴辰, 李春. 基于阻抗法的密封动力特性系数实验识别[J]. 航空学报, 2022, 43(1): 424719-424719.
[4]	马艳红, 倪耀宇, 陈雪骑, 邓旺群, 杨海. 长拉杆-止口连接弯曲刚度损失及对转子系统振动响应影响[J]. 航空学报, 2021, 42(3): 223861-223861.
[5]	王应飞, 张万福, 潘渤, 李春. 转子倾斜对交错式迷宫密封动静特性的影响[J]. 航空学报, 2020, 41(11): 123782-123782.
[6]	丁水汀, 于航, 邱天, 单晓明, 贺宜红. 单孔容腔瞬态充气换热的理论分析方法[J]. 航空学报, 2020, 41(1): 123221-123221.
[7]	谭伟伟, 颜洪, 聂智军, 马涂亮, 梁益华. 大型客机涡扇发动机动力特性模拟[J]. 航空学报, 2019, 40(1): 522428-522428.
[8]	陈兆林, 杨智春, 王用岩, 张新平. 基于能量有限元法和虚拟模态综合法的高频冲击响应分析方法[J]. 航空学报, 2018, 39(8): 221893-221893.
[9]	赵忠良, 杨海泳, 马上, 蒋明华, 刘维亮, 李玉平, 王晓冰, 李乾. 某典型飞行器模型俯仰/滚转两自由度耦合动态气动特性[J]. 航空学报, 2018, 39(12): 122375-122375.
[10]	孙丹, 王双, 艾延廷, 王克明, 肖忠会, 李云. 阻旋栅对密封静力与动力特性影响的数值分析与实验研究[J]. 航空学报, 2015, 36(9): 3002-3011.
[11]	祝长生. 主动电磁轴承失效后柔性转子坠落在备用轴承上的瞬态响应实验研究[J]. 航空学报, 2009, 30(8): 1537-1543.
[12]	戴新进;林家浩;陈浩然. 附面阻尼随频率变化的复合材料层合结构非平稳随机振动分析[J]. 航空学报, 2007, 28(1): 100-105.
[13]	李凤明;汪越胜. 失谐周期压电复合材料结构中的波动局部化研究[J]. 航空学报, 2006, 27(1): 38-43.
[14]	祝长生. 电磁轴承支承的柔性转子在轴承失效后坠落过程中的瞬态响应[J]. 航空学报, 2005, 26(3): 349-355.
[15]	陈伟;关玉璞;高德平. 发动机叶片鸟撞击瞬态响应的数值模拟[J]. 航空学报, 2003, 24(6): 531-533.