原子力显微镜微悬臂梁的混沌运动控制  

CONTROLLING CHAOTIC MOTION IN THE MICROCANTILEVER OF AN ATOMIC FORCE MICROSCOPY

作　　者：陈玲莉 谢勇[1] 谭宁[1] 王丁旺[1] 

机构地区：[1]西安交通大学航天航空学院,西安710049

出　　处：《动力学与控制学报》2009年第4期344-347,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(10502039;10602003)~~

摘　　要：通过数值模拟方法分析了原子力显微镜(atomic force microscopy,AFM)微悬臂梁的混沌运动与分岔特性,研究了"时间延迟反馈控制"、"周期信号控制"分岔特性和混沌运动控制参数的取值范围,以及同一周期轨道不同控制参数的值域.研究结果对复杂系统非线性动力学行为分析和混沌运动控制提供了有意义的理论参考,同时对控制原子力显微镜主要构件的运动和改善其测量精度,具有工程实用价值.Chaotic motion in the cantilever of an atomic force microscopy and its bifurcation properties were investigated by the method of numerical simulation, and the range of the control parameter was examined for two control methods, respectively, i. e. , time-delayed feedback control and periodic signal control. Furthermore, the ranges of different control parameters for periodic orbits with the same period were also considered. The research results provide significant theoretical reference for the analysis of the nonlinear dynamical behavior in complex systems and the control of chaotic motion. Simultaneously our results are valuable in engineering applications for controlling the motion of main component of an atomic force microscopy and improving its measurement accuracy.

关 键 词：微悬臂梁 分岔 混沌控制 

分 类 号：O415.5[理学—理论物理] TH742[理学—物理]