含裂纹压电悬臂梁动力学频态研究  

Study on Dynamic Frequency State of Piezoelectric Cantilever Beam with Cracks

作　　者：王晓军 张红兵[1] 李万祥[1] 王志华 WANG Xiaojun;ZHANG Hongbing;LI Wanxiang;WANG Zhihua(School of Mechanical and Electrical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Jiuquan Power Supply Company,State Grid Gansu Electric Power Company,Jiuquan 735099,China)

机构地区：[1]兰州交通大学机电工程学院,甘肃兰州730070 [2]国网甘肃省电力公司酒泉供电公司,甘肃酒泉735099

出　　处：《机械制造与自动化》2025年第2期94-97,108,共5页Machine Building & Automation

摘　　要：基于压电悬臂梁具有独特的振动压电效应,建立一种含裂纹压电悬臂梁受外部激励作用的系统动力学模型。利用变步长4阶Runge–Kutta法对系统参数进行仿真,借助分岔图、相轨迹图、Poincaré映射图对含裂纹压电悬臂梁非线性振动转迁频态进行分析,并且基于多尺度法分析了系统的固有频率、阻尼特性对其主振体幅频的影响。研究结果表明:含裂纹压电悬臂梁系统的分岔形式以及运动状态具有复杂的非线性多样性。A dynamic model of piezoelectric cantilever beam with cracks under external excitation is established based on the unique vibrating piezoelectric effect of piezoelectric cantilever beam.The four-order Runge-Kutta method with variable step size is used to simulate the system parameters,and by means of bifurcation diagram,phase trajectory diagram and Poincare mapping diagram,the nonlinear vibration transition frequency state of cracked piezoelectric cantilever beam is analyzed,and the effects of natural frequency and damping characteristics of the system on the amplitude frequency of its main vibration are analyzed based on multi-scale method.The results show that the bifurcation forms and motion states of the cracked piezoelectric cantilever beam system have complex nonlinear diversity.

关 键 词：压电悬臂梁 非线性 分岔 混沌 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]