超磁致伸缩-压电复合传感器磁力电耦合非线性特性研究

Giant magnetostrictive-piezoelectric composite sensor is a new type of magnetic sensors, which has many advantages, such as high magnetic - mechanical - electric coupled performance, high sensitivity, simple structure, ease of manufacture, and low cost. In this program, the hysteretic nonlinear constitutive models of giant magnetostrictive material and piezoelectric material were developed in hysteretic nonlinear theory based on experimental data of the two materials. The coupled relationships among magnetostrictive rate, magnetic field intensity(MFI), frequency, temperature, and stress were studied in multivariate statistical regression method where the effect of frequency on the hysteresis curve was considered. Based on the above, the magnetic-mechanical-electric coupled dynamic models of giant magnetostrictive-piezoelectric composite sensor subjected to deterministic magnetic field signal and random electromagnetic disturbances were developed where the effect of the adhesive layer was considered. The dynamic characteristics, the random stability, and the magnetic-electrical response characteristics of the system were analyzed in the modern nonlinear dynamics theory and the random dynamics theory, and the effective measurement ranges (security domain) of the sensor were obtained. The results of the program will be helpful to research on constitutive modeling of giant magnetostrictive material and piezoelectric material, the analysis of dynamic characteristics of Giant magnetostrictive-piezoelectric composite sensor , and the application of the sensor in engineering fields.

磁致-压电复合传感器是一种新型磁电传感器，具有高的磁-机-电耦合性能和灵敏度，并且结构简单、易于制造、成本低。本课题在超磁致伸缩材料和压电材料的实验数据基础上，基于滞后非线性微分方程理论，建立超磁致伸缩材料和压电材料的滞后非线性本构模型；考虑磁场频率对磁滞曲线的影响，运用现代多元统计回归方法，研究超磁致伸缩材料的磁致伸缩率与磁场强度、磁场频率（高频）、温度、应力等变量的耦合特性；在此基础上，考虑粘结层的影响，建立超磁致-压电复合传感器在确定性磁场信号和随机电磁扰动联合作用下的磁-机-电耦合动力学方程，运用现代非线性动力学理论和非线性随机动力学理论，分析系统的动力学特性、随机稳定性和磁电响应特性，得到传感器在给定精度要求下的有效测量范围（安全域）。这对于推动超磁致伸缩材料和压电材料本构建模、超磁致-压电复合传感器的动力学特性研究和应用都有着重要的理论意义和工程应用价值。

磁致-压电复合传感器是一种新型磁电传感器，具有高的磁-机-电耦合性能和灵敏度，并且结构简单、易于制造、成本低。本课题在超磁致伸缩材料和压电材料的实验数据基础上，基于滞后非线性微分方程理论，建立超磁致伸缩材料和压电材料的滞后非线性本构模型；考虑磁场频率对磁滞曲线的影响，运用现代多元统计回归方法，研究超磁致伸缩材料的磁致伸缩率与磁场强度、磁场频率（高频）、温度、应力等变量的耦合特性；在此基础上，考虑粘结层的影响，建立超磁致-压电复合传感器在确定性磁场信号和随机电磁扰动联合作用下的磁-机-电耦合动力学方程，运用现代非线性动力学理论和非线性随机动力学理论，分析系统的动力学特性、随机稳定性和磁电响应特性，得到传感器在给定精度要求下的有效测量范围（安全域）。这对于推动超磁致伸缩材料和压电材料本构建模、超磁致-压电复合传感器的动力学特性研究和应用都有着重要的理论意义和工程应用价值。