含分层损伤复合材料加筋层合板的动承载能力

DYNAMIC LOADING CAPACITY OF STIFFENED DELAMINATED PLATES

采用有限元方法研究了含穿透分层损伤复合材料加筋层合板的动力响应和承载能力。根据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中分层分析模型和虚拟界面联接模型。并采用Tsai提出的刚度退化准则和动力响应分析的精细积分法,对在动荷载作用下含分层损伤复合材料加筋层合板结构进行了破坏和承载能力分析。通过典型算例分析,分别讨论了外载频率、分层深度、筋的位置以及破坏过程中刚度退化对含损伤复合材料加筋层合板动力响应特征和承载能力的影响,得到了一些具有理论和工程价值的结论。

The dynamic response and loading capacity of the stiffened delaminated penetration composite plates were studied by finite element method. Using the first-order shear deformation theory derives a formula of element stiffness and mass matrices for the composite laminated plate and beam. A damping model is deduced by using Rayleigh damping model together with Adams' strain energy method. A delaminated constrained model and a virtual interface element are also developed to avoid the overlap and penetration phenomenon between the upper and lower sub-laminates at the delaminated region. The failure analysis method for the stiffened delaminated plates under dynamic load is established by Tsai's failure criterion and corresponding reduced stiffness role. By some numerical examples, the effects of frequency of dynamic load, delamination depth, stiffener 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.