非线性成型振动台混沌特性分析与仿真研究  

Chaotic characteristic analysis and simulation of a nonlinear vibrating molding machine

作　　者：周奇才[1] 王聪聪 熊肖磊 董日腾 ZHOU Qicai;WANG Congcong;XIONG Xiaolei;DONG Riteng(School of Mechanical and Energy Engineering,Tongji University,Shanghai 201804,China;Zhejiang College,Tongji University,Jiaxing 314051,China)

机构地区：[1]同济大学机械与能源工程学院,上海201804 [2]同济大学浙江学院,浙江嘉兴314051

出　　处：《振动与冲击》2021年第2期251-257,共7页Journal of Vibration and Shock

基　　金：国家重点研发计划资助项目(2017YFC0704004)。

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。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.

关 键 词：振动密实 非线性 碟型弹簧 混沌 

分 类 号：TH113[机械工程—机械设计及理论] TU467[建筑科学—结构工程]