电动扬声器悬置系统蠕变效应建模
Modeling of creep effect in electro-dynamic loudspeaker suspensions
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摘要: 对电动扬声器悬置系统的蠕变效应进行了分数阶建模。通过将标准线性固体模型中的牛顿黏壶替换为分数阶Abel黏壶,提出了悬置系统分数阶标准线性固体力顺模型。使用Klippel扬声器单元电阻抗激光测量系统,测量了2只具有不同橡胶折环的中频扬声器单元的电阻抗和传递函数(振膜输出位移/输入声压),并采用最小二乘法拟合实测曲线,得到了模型参数。通过与已有的考虑蠕变效应的4参数对数模型和标准线性固体模型拟合结果的对比,结果表明:分数阶标准线性固体模型能够准确描述力顺损耗因数随频率的变化规律,对蠕变效应具有更好的模拟精度。Abstract: The creep effect of suspensions in electro-dynamic loudspeakers was modeled based on fractional order derivatives. The fractional standard linear solid model (FSLS) was presented by substituting the Abel dashpot for Newton dashpot in Standard Linear Solid (SLS) model. The electrical impedance and the transfer function between diaphragm displacement and input voltage signal of two midrange speakers with different rubber surrounds were measured by Klippel laser analyzer system, and the model parameters were identified by the least-mean-square method. By comparing the fitting results of FSLS model with the other two models- 4 Parameter Logarithmic model and SLS model, the results show that the FSLS model can rightly predict the frequency dependent compliance loss factor and yield higher accuracy for modeling the creep effect in loudspeaker suspensions.