直线筛分机系统的非线性响应分析

针对一种三自由度垂向振动模型,建立简谐激励作用下的微分方程,用半解析法推导出系统的全响应及Poincaré映射在不动点处的线性化矩阵。基于六维Poincaré映射法和Floquet理论对模型周期响应的稳定性和系统在不同频率段的动力学形态进行探索。仿真结果显示:该系统在特定参数下存在Flip分岔、Neimark-Sacker分岔、环面倍化分岔与Hopf-Hopf分岔之间共存、跳跃,最终进入混沌状态的道路。研究该系统有利于提高筛分机的筛分效率。

Analysis on nonlinear response of linear screening machine system

Under the simple harmonic excitation,the differential equation of the vertical vibration model with three degrees of freedom is established,using semi-analytical method,the full response and linearized matrix of the Poincaré mapping at the fixed point are deduced.Based on the six-demensional Poincare mapping method and the Floquet theory,the stability of periodic response and dynamic forms of the system presents in different frequency are expiored.The resluts of system resopnses show that routes to chaos from flip bifurcation,Neimark-Sacker bifurcation,torus doubling bifurcation and Hopf-Hopf bifurcation,they can co-existence and jump.It is helpful to improve the sieving efficiency of vibrating screen by studying the system.