超磁致伸缩换能器几何非线性特性分析

针对超磁致伸缩材料存在的换能器碟簧非线性刚度特性,建立了具有碟簧刚度的平方和立方非线性特性的超磁致伸缩换能器复合非线性数学模型.应用多尺度法得到了超磁致伸缩换能器几何非线性振动系统响应的解析解和频响特性表达式.计算了其有无切削力两种情况下的数值解和解析解,并分析比较了其数值解和解析解的时域波形,同时得出了实际磁性参数下的频响关系曲线,分析了外界激励f值、压磁系数d33和磁导率μ3T3对频响关系式的影响.结果表明:数值解和解析解的时域波形基本一致,满足实际要求.外界激励f值、压磁系数d33和磁导率μ3T3对超磁致伸缩换能器的频响特性有明显影响,并且是研究换能器非线性刚度特性必须考虑的.

Geometrical Nonlinear Characteristic Analysis of Giant Magnetostrictive Actuator

Considering the nonlinear rigid characteristic of the reed in the giant magnetostrictive actuator, a composite nonlinear model was developed involving the characteristics of square and cube values of reed's damping. Then, the analytic solution of the geometrical nonlinear vibration system and the frequency-response properties of the actuator were analyzed by using multi-scale method. Based on the model, the numeric and academic solutions with cutting case and without cutting case are calculated, and the time domain waveform of the numeric and academic solutions are analyzed and compared, and the frequency-response relationship formulate with actual parameter are derived. And the effects of electromagnetic parameters f, piezomagnetic coefficient d33 and magnetic conductivity μ33^T on frequency-response properties of the actuator are discussed. The results indicate that the time domain waveforms showed by analytic and numerical solutions are about the same and both can meet the practical requirements, the parameters f, d33 and μ33^T all affect obviously the frequency-response characteristic of giant magnetostrictive actuator, which must be taken into account when studying its nonlinear rigidity.