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提出了一种基于能量转换原理的磁致伸缩/压电层合材料低频磁电响应模型,并对不同层合结构的磁电响应特性进行了对比研究.该模型假定层合材料层间能量传递通过层间剪切力来实现,利用应力函数法分析了磁致伸缩层和压电层的应力与应变,求出了磁致伸缩层的应变能和存储磁场能以及压电层的应变能和电场能;利用Hamilton最小能量原理求出了层间剪切力的大小,获得了开路状态下层合材料的低频磁电响应模型.发现磁电电压系数与磁致伸缩材料的磁导率、泊松比、磁机耦合系数以及压电材料的泊松比、机电耦合系数等有关,并对这些参数的影响进行了分析.同时对两层和三层结构的层合材料磁电特性进行了对比研究,发现层合结构不同则获得的磁电系数公式不同,用相应的公式计算得到的误差才会最小.研究结果表明,本文的理论误差小于6.5%,与其他方法相比,本文的理论模型能更好地描述磁电层合材料的低频磁电响应特性.
A low-frequency magneto-electro-magnetic response model of magnetostrictive / piezoelectric laminates based on energy conversion principle is proposed, and the magneto-electro-magnetic response characteristics of different laminar structures are contrastively studied.The model assumes that the energy transfer between laminates Through the shear stress between layers, the stress and strain of the magnetostrictive layer and the piezoelectric layer are analyzed by using the stress function method, and the strain energy, storage magnetic field and strain energy of the piezoelectric layer are calculated. Electric field can be obtained.The magnitude of interlaminar shear force was calculated by the principle of Hamiltonian minimum energy and the low frequency magnetoelectric response model of the laminated material was obtained.It was found that the magnetoelectric voltage coefficient and the permeability of magnetostrictive material, The magnetic coupling coefficient, the Poisson’s ratio, the electromechanical coupling coefficient and so on of the piezoelectric material, and the influence of these parameters are analyzed.Meanwhile, the magnetic and electrical characteristics of two-layer and three-layer laminated materials are compared The results show that the theoretical error of the proposed method is less than 6.5%. Compared with other methods, The theoretical model in this paper can better describe the low-frequency magnetoelectric response characteristics of magnetic laminated materials.