嵌入式共固化缝合阻尼复合材料梁的自由振动分析

Free vibration analysis of embedded co-cured stitched damped composite beam

嵌入式共固化缝合阻尼复合材料(embedded co-cured stitched damping composite, ECSDC)相对于传统的复合材料具有高比刚度、高比强度,高层间结合性能及三向力学可设计性等优点。运用Hamilton原理、结合能量法和复刚度法,推导出ECSDC梁结构的动力学微分方程表达式,通过将该偏微分方程转化为线性齐次方程组的方式,代入对边简支的边界条件,进而得到该模型的理论解。作为算例,通过进行模态试验、运用ANSYS有限元模拟和MATLAB数值计算研究了ECSDC梁的典型结构,三者所得的结果吻合较好,验证了该理论模型和方法的准确性。在此基础上,用验证的理论模型研究了设计参数对ECSDC梁结构固有振动特性的影响。结果表征了嵌入式共固化缝合阻尼复合材料梁结构比连续阻尼夹嵌复合材料梁结构具有更高的抗弯刚度,为缝合阻尼复合材料动态特性研究提供了理论层面的新思路。

Embedded co-cured stitched damping composite(ECSDC)has the advantages of high specific stiffness,high specific strength,high level bonding performance and three-way mechanical designability compared to conventional composite materials.The Hamilton's principle,combined with the energy and complex stiffness methods,was applied to derive the kinetic differential equations of a ECSDC beam structure,and the theoretical solution of the model was obtained by transforming the partial differential equations into a linear system of chisquare equations and substituting the boundary conditions of the opposite side simple supports.As an example,the typical structure of ECSDC beams was studied by conducting modal tests,ANSYS finite element simulations and MATLAB numerical calculations respectively.The results obtained by the three means are in good agreement,which verifies the accuracy of the theoretical model and method.Based on this,the effect of design parameters on the inherent vibration characteristics of the ECSDC beam structure was investigated using the validated theoretical model.The results characterize that the embedded co-cured stitched damped composite beam structure has higher flexural stiffness than the continuous damped sandwiched composite beam structure,which provides a new idea at the theoretical level for the study of dynamic properties of damped composites.