界面特性对功能梯度智能梁静动态响应的影响研究

采用状态空间法分析了两边简支的含压电夹层的功能梯度梁的静力弯曲和自由振动问题．为了考虑中间压电层与上、下功能梯度层之间的粘结效果，采用线性弹簧模型以模拟界面性能．假设上下功能梯度层的材料参数沿厚度连续变化，而压电层则是均匀材料，并且它们都是正交各向异性的．由于功能梯度梁的不均匀性使得直接求解比较困难，文中用层合模型来进行近似．数值算例中，分别考虑了压电层用于传感器或作动器的情形，分析了粘结界面完美程度对组合梁静力弯曲和自由振动频率的影响．

INVESTIGATION OF THE EFFECT OF BONDING CHARACTERISTICS ON STATIC AND DYNAMIC BEHAVIOR OF A SMART FUNCTIONALLY GRADED BEAM

State space formulations are developed to study a simply supported hybrid beam consisting of two functionally graded material layers and an intermediate actuating or sensing piezoelectric layer. To consider the effect of bonding characteristics of the adhesives between the piezoelectric layer and the functionally graded ones, a linear spring layer model is adopted. The functionally graded layers are inhomogeneous along the thickness direction, while the piezoelectric layer is homogeneous; both possess material orthotropy. To avoid the mathematical difficuhy introduced by the material inhomogeneity, a laminate model is employed to approximate the functionally graded layers. In the numerical example, it is considered that the piezoelectric layer acts either as the actuator or the sensor. The effect of bonding characteristics on the static bending and natural frequencies of the smart beam is numerically discussed.