Analytical model for stiffness of the low velocity impact for composite laminate with delaminations
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摘要: 针对基于弹簧质量模型的层压板低速冲击模拟方法,研究产生分层损伤后层压板整体刚度的计算方法。首先将板分为中心含分层的圆形区域与四周未分层环形区域。根据薄板弯曲理论,利用边界条件及两区域交界处的转角协调条件得到两个区域的挠度,进而计算刚度。基于ABAQUS软件建立了含损伤层压板的有限元模型进行该计算方法的验证,结果表明,该方法的计算结果与有限元模型结果吻合较好。进行了层压板落重冲击试验,根据无损检测得到的分层信息利用本方法进行了弯曲刚度的折减,再利用弹簧-质量模型模拟有损伤产生过程的冲击接触力,模拟结果和实验与有限元结果吻合良好,证明所提出的层压板低速冲击弹簧-质量模型分层刚度折减算法是有效的。Abstract: A mathematical model for stiffness reduction of circular composite laminate with delaminations after low velocity impact based on spring-mass model was presented. Plate was divided into a delaminated portion of central disk and an undamaged portion of annulus plate. Bending theory and classical lamination theory were used to obtain the displacement of the plate to compute the stiffness. A FE model for laminate with delaminations on ABAQUS was established to validate the analytical model. Drop weight impact test was conducted and C-scan results was used to calculate the stiffness. The reduction result was used in spring-mass model predicting the contact force history. Comparisons of FE simulation and experiment test results show good agreement of the stiffness reduction and the prediction of contact force history. This analytical method can be applied to low velocity impact analysis with delamination damage.
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Key words:
- laminates /
- low velocity impact /
- stiffness reduction /
- delamination damage /
- spring-mass model
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