非线性成型振动台混沌特性分析与仿真研究

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摘要

为了解决混凝土构件现有振动成型技术中密实度不高、成型周期长的问题。基于混沌理论对现有振动台结构进行改进，考虑碟形弹簧非线性建立振动系统的物理模型和动力学模型。通过分岔图确定系统产生混沌时的参数范围，利用Matlab/Simulink搭建混沌响应数值仿真平台，采用Runge-Kutta法求解并绘制系统的相轨迹图、Poincaré映射图、时间历程曲线、频谱图和最大Lyapunov指数对振动台的混沌特征进行识别，证明了改进后的系统具有混沌振动特性。

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	周奇才1
	王聪聪1
	熊肖磊2
	董日腾1

关键词 ：振动密实, 非线性, 碟型弹簧, 混沌

Abstract：In order to solve the problems of low compactness and long molding period in the existing vibration molding technology for concrete components, an existing shaking table structure was improved based on the chaos theory.A physical model and a dynamic model of the vibration system were established considering the non-linearity of its disc spring.According to the bifurcation diagram, the parameters of the system in the chaotic state were investigated.A numerical simulation platform for chaotic responses was built by using Matlab/Simulink.The phase trajectory, Poincare map, time history curve, spectrum diagram and maximum Lyapunov exponent of the system were solved and drawn by the Runge-Kutta method to identify the chaotic characteristics of the shaking table.It is proved that the improved system possesses chaotic vibration characteristics.

Key words： vibration compaction nonlinearity disc spring chaos

收稿日期: 2019-09-04 出版日期: 2021-01-28

引用本文:

周奇才1，王聪聪1，熊肖磊2，董日腾1. 非线性成型振动台混沌特性分析与仿真研究[J]. 振动与冲击, 2021, 40(2): 251-257.
ZHOU Qicai1， WANG Congcong1, XIONG Xiaolei2， DONG Riteng1. Chaotic characteristic analysis and simulation of a nonlinear vibrating molding machine. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(2): 251-257.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I2/251

[1] 任海鹏. 混沌控制方法及其应用研究[D].西安理工大学,2003.
   Ren Haipeng. on Chaos Control and its Application[D]. Xi'an University of technology,2003.
[2] 修春波,刘向东,张宇河.混沌优化与模糊控制在混沌控制中的应用[J].控制理论与应用,2005(01):63-66+71.
   Xiu Chunbo, Liu Xiangdong, Zhang Yuhe. Applications of chaos optimization and fuzzy control in chaos control[J]. Control Theory & Applications,2005(01):63-66+71.
[3] 黄迪山,刘献之,邵何锡.多自由度参数振动混沌控制方法研究[J].动力学与控制学报,2018,16(03):233-238.
   Huang Dishan, Liu Xianzhi, Shao Hexi. Study on Chaos Control Method for Parametric Vibration of Multiple Degrees of Freedom System[J]. Journal of Dynamics and Control,2018,16(03):233-238.
[4] Edward Ott, Celso Grebogi, James A.Yorke. Controlling chaos[J]. Physical Review E, 1990, 64(11): 1196-1199.
[5] Long Yunjia. Chaotic dynamics & compaction engineering[C]. A.K.L. Kwong. Soft Soil Engineering. London: CRC Press,2017: 143-147.
[6] 刘本学,冯忠绪,董秀辉.双频振动在振动压实中的应用及试验研究[J].郑州大学学报(工学版),2006(03):50-54.
Liu Benxue, Feng Zhongxu, Dong Xiuhui. Experimental Research and Application of Double-Frequency Vibration in Vibration Compaction[J]. Journal of Zhengzhou University(Engineering Science),2006(03):50-54.
[7] 贠志达. 大型混凝土振动台振动系统研究[D].西安建筑科技大学,2017.
Yun Zhida. Study on Vibration System of Large Concrete Vibrating Table[D]. Xi'an University of architecture and technology,2017.
[8] 李彦泳. 基于离散元的混沌振动密实成型过程的模拟与研究[D].西安建筑科技大学,2018.
Li Yanyong. Simulation and Research of Dense Element Process for Block Chaos Vibration Molding Based on Discrete Element Method[D]. Xi'an University of architecture and technology,2018.
[9] 苏春建,王伟伟,郭素敏,张广恒.砌块成型混沌振动激振器设计及振动特性分析[J].机械设计与制造,2014(06):195-198.
   Su Chunjian, Wang Weiwei, Guo Sumin, Zhang Guangheng. Concrete Block Molding Chaotic Vibrator Vibration Design and Vibration Characteristics Analysis[J].Machinery Design & Manufacture,2014(06):195-198.
[10] 郑伟中.简谐振动时碟簧吸振器参数优化[J].上海工程技术大学学报,2002(02):131-135.
   Zheng Weizhong. The Optimization of Parameters for a Belleville Spring Absorber under Harmonic Vibration[J]. Journal of Shanghai University of Engineering Science,2002(02):131-135.
[11] 李锡祺.新拌混凝土的流变学及振动特性(下)——美国混凝土协会混凝土捣实委员会技术报告[J].水利电力施工机械,1982(04):12-22.
   Li Xiqi. Rheology and Vibration Characteristics of Fresh Mixed Concrete (Part II) - Technical Report of American Concrete Association Concrete Tamping Committee[J]. Power Generation Technology,1982(04):12-22.
[12] 曹映辉.台振式砌块成型机垂直定向振动系统的研究[J].建筑机械化,2016,37(04):31-36.
   Cao Yinghui. Research on platform vibration type block making machine vertical vibration system[J]. Construction Mechanization,2016,37(04):31-36.
[13] 李忠,李自新.碟形弹簧的非线性稳定性分析[J].机械设计,2003(10):58-59.
    Li Zhong, Li Zixin. Nonlinear stability analysis of disc spring[J]. Journal of Machine Design,2003(10):58-59.
[14] 都军民,戴双献.碟形弹簧减振器动态特性研究[J].工程机械,2009,40(11):15-18+7.
    Du Junmin, Dai Shuangxian. Research on Dynamic Characteristics of Saucer Dampers[J]. Construction Machinery and Equipment,2009,40(11):15-18+7.
[15] 李俊,金咸定.基础激励下非线性碟簧减振系统的特性研究[J].振动工程学报,2001(02):82-84.
    Li Jun, Jin Xianding. Characteristics Study on Nonlinear Disk Spring Vibration Reduction System under Base Excitation[J]. Journal of Vibration Engineering,2001(02):82-84.
[16] 李玉龙,白鸿柏,何忠波.金属橡胶非线性减振系统混沌特性研究[J].北京理工大学学报,2016,36(05):491-497.
Li Yulong, Bai Hongbai, He Zhong. Chaotic Characteristic of Nonlinear Metal Rubber Vibration Isolation System[J]. Transactions of Beijing Institute of Technology,2016,36(05):491-497.
[17] J. BRESSON,M. BRUSIN,张涛.振动特性对混凝土性能的影响[J].建筑机械化,1982(03):39-44.
    J. BRESSON,M. BRUSIN, Zhang Tao. Effect of Vibration Characteristics on Concrete Performance[J]. Construction Mechanization,1982(03):39-44.
[18] 王庭佛.冲压机械的隔振与碟形弹簧隔振器[J].噪声与振动控制,1989(02):11-15.
Wang Tingfo. Vibration Isolation and Disk Spring Isolator for Stamping Machinery[J]. Noise and Vibration Control,1989(02):11-15.
[19] 张海龙,闵富红,王恩荣.关于Lyapunov指数计算方法的比较[J].南京师范大学学报(工程技术版),2012,12(01):5-9.
Zhang Hailong, Min Fuhong, Wang Enrong. The Comparison for Lyapunov Exponents Calculation Methods[J]. Journal of Nanjing Normal University(Engineering and Technology Edition),2012,12(01):5-9.
[20] 王靖岳,王浩天,郭立新.随机激励下非线性空气悬架系统的混沌振动分析[J].合肥工业大学学报(自然科学版),2015,38(09):1165-1170.
Wang Jingyue, Wang Haotian, Guo Linxin. Analysis of chaotic vibration of nonlinear air suspension system under stochastic excitation[J]. Journal of Hefei University of Technology(Natural Science),2015,38(09):1165-1170.