论文部分内容阅读
基于压电复合材料层合板一阶剪切变形理论及叠层理论,构造了一种新型三角形三节点压电层合板单元,简记为CDST-S6E单元。该单元采用压电耦合的运动方程求解位移场及电势场,层合板主体结构用一阶剪切变形理论模拟,其剪应变场及单元转角场由结点包含有两个剪切自由度的DST-S6单元理论确定。电势作为附加自由度,应用叠层理论对压电层合板的电势场沿厚度方向进行线性插值。该CDST-S6E单元不需要借助减缩积分、假设应力或应变等辅助数学手段,也不会产生对稳定性带来影响的附加零能模式,可较好避免厚薄板单元的剪切闭锁问题且具有简洁的表达形式。数值算例表明,CDST-S6E单元具有较高的精度,可以较为精确地预测压电层合板的变形及电势场,是一种厚薄通用的优质压电层合板单元。
Based on the first-order shear deformation theory and laminated theory of piezoelectric composite laminates, a novel triangular three-node piezoelectric laminate unit is constructed, which is abbreviated as CDST-S6E unit. The unit uses piezoelectric coupling equations of motion to solve the displacement and potential fields. The main structure of the laminate is modeled by the first-order shear deformation theory. The shear strain field and the unit corner field consist of two DSTs with shear degrees of freedom -S6 unit theory to determine. Potential as an additional degree of freedom, the application of laminated theory of the potential field of the piezoelectric laminate along the thickness direction of the linear interpolation. The CDST-S6E unit eliminates the need for additional mathematical techniques such as reducing integration, assuming stress or strain, or creating additional zero-energy modes that have an effect on stability, and avoids the problem of shear-locking of thick-and-thin sheet units and has Concise form of expression. The numerical example shows that the CDST-S6E unit has high precision and can predict the deformation and potential field of the piezoelectric laminate more accurately. It is a kind of high-quality piezoelectric laminated plate unit.