考虑面内破坏过程的含分层损伤复合材料加筋层合板的动力响应

Dynamic response behavior of stiffened delaminated plates considering failure

基于复合材料层合板一阶剪切理论,推导了复合材料层合板单元的刚度阵和质量阵列式;同时采用了Adams应变能法与Rayleigh阻尼模型相结合的方法,构造了相应的阻尼阵列式;为了防止在低阶模态中分层处出现的上、下子板不合理的嵌入现象,建立了含分层损伤复合材料加筋层合板动力分析的分层分析模型和虚拟界面联接模型。在上述模型和理论基础上,采用了Tsai提出的刚度退化准则和动力响应分析的精细积分法,对含分层损伤复合材料加筋层合板结构进行了动力响应和破坏分析。通过算例,分别讨论了外载频率、分层位置,以及破坏过程的刚度退化对含损伤复合材料加筋层合板动力响应特征的影响,得到了一些具有理论和工程价值的结论。

The paper is to study the dynamic response behavior of the stiffened delaminated composite plates considering failure process. A formula of element stiffness and mass matrices for the composite laminated plate and beam are deduced by using the first-order shear deformation theory. A damping model is constituted on the basis of Rayleigh damping model using Adams＇ strain energy method （MSE）. A delaminated constrained model and a virtual interface element are also developed for avoiding the overlap and penetration phenomenon between the upper and lower sub-laminates at the de region. A failure analysis method for the stiffened delaminated plate under dynamic amination oading is established by Tsai＇s failure criterion and corresponding reduced stiffness role. By some numerical examples, the effects of frequency of dynamic load, delamination location, and reduction of structure stiffness during the failure process upon dynamic behavior of the delaminated composite laminates are discussed. The method and conclusions would be useful for composite structures designers.