基于弹性-黏弹性对应原理的复合材料层合板模态阻尼预测:理论及其有限元实现

提出一种利用通用有限元软件求解复合材料结构模态阻尼的有限元方法。该方法基于扩展弹性-黏弹性对应原理,定义出具有频率依存性的黏弹性复合材料复刚度矩阵,并借助ABAQUS提供的二次开发接口UMAT将其编入求解器中,结合复特征值法求解任意铺层层合板的模态阻尼。与已有的理论方法相比,本模型的计算结果更为接近实验数据。从而验证了本文提出的数值分析方法的有效性和精确性,为利用ABAQUS软件分析各向异性材料阻尼提供了一条有效途径。

Modal damping prediction of laminated composites using elastic-viscoelastic correspondence principle: Theory and finite element implementation

A finite element method for the modal damping analysis of composite structures by using a general purpose finite element software was proposed.The method was based on an extended elastic-viscoelastic correspondence principle, which accounted the frequency dependence of viscoelastic complex stiffness matrices.The implementation of the proposed model was described as a UMAT subroutine for ABAQUS/Standard.Subsequently, the analyses of modal damping and frequency response for laminated composites were implemented by using the complex eigenvalue method.As compared with existing approaches, the computed results from this model are more close to the test data.Thus the proposed numerical method is quite efficient and accurate, and capable of providing an effective way to determine the modal damping of anisotropic materials by using ABAQUS code.