Modeling and Natural Characteristic of Non-sinusoidal Oscillator of Continuous Casting Molds

China Mechanical Engineering

Previous Articles Next Articles

Modeling and Natural Characteristic of Non-sinusoidal Oscillator of Continuous Casting Molds

ZHOU Chao1，2;ZHANG Xingzhong1;LIU Pingfei1;GUAN Jie3

1.National Engineering Research Center for Equipment and Technology of Cold Strip Rolling，Yanshan University，Qinhuangdao，Hebei，066004
2.Ocean College，Hebei Agricultural University，Qinhuangdao，Hebei，066003
3.China National Heavy Machinery Research Institute Co.，Ltd.，Xi'an， 710032

Online:2018-08-25 Published:2018-08-27
Supported by:
Heibei Provincial Natural Science United Foundation of China （No. E2016203492）
National Natural Science Foundation of China （No. 51275446）

连铸结晶器非正弦振动装置建模与固有特性分析

周超1，2;张兴中1;刘平飞1;关杰3

1.燕山大学国家冷轧板带装备及工艺工程技术研究中心，秦皇岛，066004
2.河北农业大学海洋学院，秦皇岛，066003
3.中国重型机械研究院有限公司，西安，710032

基金资助:
河北省自然科学基金-钢铁联合基金资助项目（E2016203492）；
国家自然科学基金资助项目（51275446）；
河北省留学人员科技活动项目(C2013005012)
Heibei Provincial Natural Science United Foundation of China （No. E2016203492）
National Natural Science Foundation of China （No. 51275446）

Abstract

Abstract: To realize modification ratio of non-sinusoidal oscillation adjusted on line for mold driven by mechanisms，a non-sinusoidal oscillator driven by double servomotors was proposed.Firstly，working principles of the oscillator were described.3D model of the system was established，which was analyzed by simulation software.Secondly，the torsional-translational coupling dynamics model was created，and the dynamics equations of which were deduced.The results show that mass matrix of non-sinusoidal oscillation is constant，stiffness matrix and damping matrix change with time.At last，based on instantaneous mechanism-solidified method，natural frequency of the system was analyzed ，which was influenced by rotational angles of eccentric shaft，amplitudes,inertia parameters and stiffness.

Key words: continuous casting mold, non-sinusoidal oscillation, oscillator, natural frequency

摘要： 为实现机械系统驱动的结晶器非正弦振动波形偏斜率的在线调节，设计出一种双伺服电机驱动的结晶器非正弦振动装置。阐述其工作原理，建立三维模型并进行运动学仿真；建立扭转-平移耦合动力学模型，推导其动力学方程。研究表明，非正弦振动系统的质量矩阵是常量，刚度矩阵、阻尼矩阵随时间周期性变化。最后，基于瞬时机构凝固法，分析了系统偏心轴的转角、振幅、构件惯性参数及刚度对其固有频率的影响。

关键词: 连铸结晶器, 非正弦振动, 振动装置, 固有频率

CLC Number:

TF777.1

ZHOU Chao1，2;ZHANG Xingzhong1;LIU Pingfei1;GUAN Jie3. Modeling and Natural Characteristic of Non-sinusoidal Oscillator of Continuous Casting Molds[J]. China Mechanical Engineering.

周超1，2;张兴中1;刘平飞1;关杰3. 连铸结晶器非正弦振动装置建模与固有特性分析[J]. 中国机械工程.

References

[1]ZHANG Xingzhong，ZHENG Xueran，LIU Qingguo，et al.Investigation and Application of Non-sinusoidial Oscillation Technique of Mold[J］.International Journal of Iron and Steel Research，2013，20（12）：19-24.
[2]方一鸣，李宫胤，李建雄，等.伺服电机驱动连铸结晶器振动系统建模与分析[J］.仪器仪表学报，2014，35（11）：2615-2623.
FANG Yiming，LI Gongyin， LI Jianxiong，et al.Modeling and Analysing for Oscillation System of Continuous Casting Mold Driven by Servo Motor[J］.Chinese Journal of Scientific Instrument，2014，35（11）：2615-2623.
[3]田志恒，田立，周永，等.结晶器非正弦振动系统的开发与应用[J］.钢铁，2004，39（增）：623-629.
TIAN Zhiheng,TIAN Li，ZHOU Yong，et al.Development and Application of Non-sinusoidal Oscillation System [J］.Iron and Steel，2004,39（S）：623-629.
[4]PARK Y，PARK H.Dynamic Characteristic Analysis of Mold Oscillator including Improved Gear Mesh Model and Cam Profile for Eccentric Shaft[J].Journal of Mechanical Science and Technology，2014，28 （11）： 4465-4473.
[5]张兴中，李宪奎，郑学然，等.椭圆齿轮结晶器非正弦振动的研究[J］.机械工程学报，2004，40（11）：178-181.
ZHANG Xingzhong，LI Xiankui，ZHENG Xueran，et al.Study of Non-sinusoidal Oscillation of Mold Driven by Ellipse Gears[J］.Chinese Journal of Mechanical Engineering，2004，40（11）：178-181.
[6]ZHANG Liping，LI Xiankui，YAO Yunfeng，et al.Study on Cascaded Whole-leaf Spring Oscillation Mechanism for Mould in Continuous Casting[J］.Ironmaking and Steelmaking，2010，37（3）：205-210.
[7]张兴中，周超，刘平飞，等.双偏心驱动结晶器非正弦振动波形及工艺参数研究[J］.中国机械工程，2016，27（3）：3125-3129.
ZHANG Xingzhong ，ZHOU Chao，LIU Pingfei，et al.Investigation of Waveform and Technological Parameters for Non-sinusoidal Oscillation of Mold Driven by Double Eccentric Shafts[J］.China Mechanical Engineering，2016，27（23）： 3125-3129.
[8]姚云峰，李宪奎，李军霞，等.永磁同步电动机驱动的结晶器非正弦[J］. 机械设计，2010，27（7）：33-36.
YAO Yunfeng，LI Xiankui，LI Junxia，et al.Non-sinudial Oscillation of Mold Driven by Permanent Magnet Synchronousmotor[J］.Journal of Machine Design，2010，27（7）：33-36.
[9]杨红普，李宪奎，郑学然.椭圆齿轮驱动的结晶器非正弦振动传动系统动力学及运动稳定性分析[J］.机械传动，2007，31（5）：19-23.
YANG Hongpu，LI Xiankui ，ZHENG Xueran.Dynamics and Stability Analysis of the Mold Transmission System of Non-sinusoidal Oscillation Driven by Elliptical Gears[J］.Journal of Mechanical Transmission，2007，31（5）：19-23.
[10]唐锡宽，金德闻.机械动力学[M］.北京：高等教育出版社，1984：169-170.
TANG Xikuan，JIN Dewen.Mechanical Kinetics[M］.Beijing：Higher Education Press，1984：169-170.
[11]任计格，王生泽.基于复模态理论研究线性周期时变齐次系统的动态特性[J］.振动与冲击，2004，23（2）：96-97.
REN Jige，WANG Shengze.Dynamic Analysis of the Linear Periodic Time-varying Vibration System Based on Complex Mode Theory[J］.Journal of Vibration and Shock，2004，23（2）： 96-97.

[1]	SHANG Ze-Jin, WANG Zhong-Min. Bifurcation and Chaos of Forced Vibration for a Shape Memory Alloy Spring Oscillator  [J]. J4, 201016, 21(16): 1986-1991.
[2]	KAN Junwu;HE Hengqian;WANG Shuyun;LIAO Weilin;ZHANG Zhonghua;CHEN Song;WU Yaqi. Rotary Magnet-coupled Generator with Frequency Adjustment Using Extensions of a Piezoelectric Simply-supported Beam [J]. China Mechanical Engineering, 2019, 30(23): 2857-2862.
[3]	LI Qiang1;FANG Yiming1,2;LI Jianxiong1;ZHENG Huicheng1. Nonlinear Processing for Vibration Displacement Systems of Continuous Casting Molds [J]. China Mechanical Engineering, 2019, 30(12): 1433-1440.
[4]	LI Yongquan1，2;SHE Yazhong2，3;WAN Yixin 1，2;ZHANG Lijie2，3. Elastodynamics Analysis of a Spherical 2-DOF Redundantly Actuated Parallel Robot [J]. China Mechanical Engineering, 2018, 29(10): 1179-1185.
[5]	MA Zhuang1,3;FANG Yiming1,2;LI Jianxiong1;LIU Le1. Compensation Control of Vibration Displacement Systems for Continuous Casting Molds Driven by Servo Motor with Time-varying Load Torque [J]. China Mechanical Engineering, 2018, 29(03): 295-300.
[6]	MENG Cong;CHEN Chuan;YANG Yuhu. Modal Characteristic Analysis of RV Reducers [J]. China Mechanical Engineering, 2018, 29(01): 8-13.
[7]	LIU Dawei1,2;LUO Linming2;WANG Guohui2;JIN Xin2. Integrated Design of Non-sinusoidal Generator of Continuous Casting Mold [J]. China Mechanical Engineering, 2017, 28(21): 2608-2613.
[8]	LIU Wenguang, GUO Longqing, HE Honglin, YAN Long. A Damage Identification Method of a Breathing Cracked Beam by Natural Frequency [J]. China Mechanical Engineering, 2017, 28(06): 702-707,713.
[9]	Zhang Xingzhong, Zhou Chao, Liu Pingfei, Guan Jie. Investigation of Waveform and Technological Parameters for Non-sinusoidal Oscillation of Mold Driven by Double Eccentric Shafts [J]. China Mechanical Engineering, 2016, 27(23): 3125-3129,3135.
[10]	Wu Jiateng, Peng Xiaoyan, Yang Yu, Zhang Kang, Cheng Junsheng. Quantitative Diagnosis Method of Gear Cracks Based on Noise-assisted LOD [J]. China Mechanical Engineering, 2016, 27(23): 3190-3196.
[11]	Cheng Xiaoyong, Chen Guo, Liu Minghua, Zheng Qihui, Luo Yun, Hou Minli, Pu Liu. Analysis and Experimental Verification to Effects of Pipe Initial Installation Stress on Pipe's Natural Frequencies [J]. China Mechanical Engineering, 2015, 26(4): 512-517.
[12]	Li Guanghui, Yin Ningxia, Xu Hong, Tan Guangyu. Structure Design and Modal Analysis of Embeded Temperature Measuring Tool System [J]. China Mechanical Engineering, 2015, 26(21): 2862-2866.
[13]	Tian Jialin, Yang Zhi, Yang Lin, Fan Zhe, Li You, Zhao Yun. Research on Operation Principles and Vibration Features of New Drilling Oscillator [J]. China Mechanical Engineering, 2015, 26(21): 2946-2951.
[14]	Liu Rongsheng, Li Hui, Gao Yingjie, Yang Yulin. Vibration Analysis and Experimental Test of a Boom System of Truck Mounted Concrete Pump [J]. China Mechanical Engineering, 2015, 26(15): 2125-2129.
[15]	Huang Zhen, Zhao Wei. Theoretical Calculation and Experimental Analyses of Natural Frequency for High Frequency Dynamometer [J]. China Mechanical Engineering, 2015, 26(1): 7-11.

Modeling and Natural Characteristic of Non-sinusoidal Oscillator of Continuous Casting Molds

连铸结晶器非正弦振动装置建模与固有特性分析

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics