超磁致伸缩作动器的分岔和混沌行为

Bifurcation and Chaos of Giant Magnetostrictive Actuators

混沌和拟周期运动是两种不稳定的响应,为研究超磁致伸缩作动器的这些不稳定行为,建立了其非线性动态力学模型,用数值方法得到了反映系统非线性响应特性的分岔图、相图、Poincaré截面图、幅值谱等。分析结果表明:阻尼系数的增加,有助于系统输出的稳定;系统刚度过低,会导致混沌现象的出现;激励电流的角频率对系统的响应特性有很大的影响。

Chaotic and quasi-periodic motions are two unstable responses. To explore the erratic behaviors of giant magnetostrictive actuators, a nonlinear dynamic model was established. The bifurcation diagrams, phase portrait, Poincar6 mapping diagrams, amplitude spectrum, etc. which demonstrate dynamical characteristics of the system were obtained by numerical integration. Analytic results indicate： Stability of response could be improved by increasing of damping coefficient. Chaos would appear when stiffness of the system is relatively low. The angular frequency of exciting current has a significant effect on response of the system.