Melnikov条件钢丝绳减振器物理参数对相平面的影响研究  

Effect of Parameter on Erosion of Safe Basin to Wire Cable Isolator

作　　者：赵燕萍 Zhao Yanping(Shanxi Institute of Energy,Taiyuan,China)

机构地区：[1]山西能源学院,山西太原

出　　处：《科学技术创新》2023年第15期51-57,共7页Scientific and Technological Innovation

摘　　要：建立带有滞迟环节的钢丝绳减振器的微分方程,利用MATLAB进行作图分析。在简谐激励下,利用非线性特征确定其导致混沌的初始参数值,利用Melnikov方法获得发生混沌现象的区域范围,然后分别将线性刚度,非线性刚度和阻尼系数作为控制参数,分析其对相平面曲线的影响,对其进行数值模拟,结果表明,随着刚度和阻尼系数的变化,相平面的形状和面积曲线都将呈现不同的变化规律,验证了其不同的安全控制范围。In this study,the differential equations of a wire cable isolator are established under harmonic excitation.The simulation solutions are obtained by using MATLAB.Under the harmonic excitation,we make the linear stiffness,nonlinear stiffness&damping as the control parameter,using the Melnikov approach to obtain the chaos range,then,simulation relatively to verify them.The Phase plane shape and aero of damping&stiffness to the wire cable isolator shows different regularity.And the Bifurcation diagram independently turn periodic or chaos as the parameter changes.

关 键 词：钢丝绳减振器 MELNIKOV 混沌 相平面 

分 类 号：O328[理学—一般力学与力学基础]