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。本文运用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。
Abstract
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. In this paper, Hamilton's principle, combined with energy and complex stiffness methods, is applied to derive the kinetic differential equations of the ECSDC beam structure, and the theoretical solution of the model is obtained by transforming the partial differential equations into a linear system of chi-square equations and substituting the boundary conditions of the opposite side simple support. As an example, the typical structure of ECSDC beams was studied by conducting modal tests, using ANSYS finite element simulations and MATLAB numerical calculations, and the results obtained from the three were in good agreement, which verified 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.
关键词
复合材料 /
缝合阻尼 /
自由振动 /
动力学 /
模态试验
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Key words
composite materials /
suture damping /
natural vibration characteristics /
dynamics；modal testing
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参考文献
[1] 杨龙英.不同缝合方式对缝合复合材料力学性能的影响研究[J].玻璃钢/复合材料,2018(06):99-103.
Yang LY. Study on the effect of different stitching methods on the mechanical properties of stitched composites[J]. FRP/Composites,2018(06):99-103.
[2] 杨龙英,龚家谦,黄当明.缝合参数对缝合复合材料力学性能的影响研究[J].复合材料科学与工程,2020(01):52-59.
YANG LY, GONG JQ, HUANG DM. Study on the effect of stitching parameters on the mechanical properties of stitched composites[J]. Composites Science and Engineering,2020(01):52-59.
[3] Tao Chang. Analyze on the Mechanical Properties of Stitched Composites[J]. Advanced Materials Research, 2011, 1228(217-218) : 1758-1762.
[4] Hamza Mechakra et al. Effect of stitch orientation on tensile and flexural bending mechanical properties and damage mechanisms of glass/epoxy composites laminate[J]. International Journal of Materials Engineering Innovation, 2021, 12(4) : 310-324.
[5] A L Ahmad Ghazilan et al. Effect of Stitching on the Tensile Mechanical Property of Empty Fruit Bunch Oil Palm Fiber Reinforced Epoxy Composites[J]. IOP Conference Series: Materials Science and Engineering, 2017, 184(1)
[6] Katleen Vallons et al. The influence of the stitching pattern on the internal geometry, quasi-static and fatigue mechanical properties of glass fibre non-crimp fabric composites[J]. Composites Part A, 2014, 56 : 272-279.
[7] He Yujia et al. Interlaminar shear behaviour and meso damage suppression mechanism of stitched composite under short beam shear using X-ray CT[J]. Composites Science and Technology, 2022, 218
[8] 刘初升,武继达,李赛等.一种新型振动弛张筛的多自由度动力学响应计算与试验验证[J].振动与冲击,2023,42(15):48-54+100.
LIU CH, WU JD, LI S et al. Calculation and experimental validation of multi-degree-of-freedom dynamic response of a new type of vibratory relaxation screen[J]. Vibration and Shock,2023,42(15):48-54+100.
[9] 宋华庆,王涛,汪浒江等.斜盘式轴向柱塞泵壳体动态特性分析[J].振动与冲击,2023,42(16):175-180+195.
SONG HQ, WANG T, WANG HJ et al. Dynamic characterization of swashplate axial piston pump casing[J]. Vibration and Shock,2023,42(16):175-180+195
[10] Xuan J, Li D, Jiang L. Fabrication, properties and failure of 3D stitched carbon/epoxy composites with no stitching fibers damage[J]. Composite Structures, 2019, 220: 602-607.
[11] 宫保彬. 缝合复合材料层合板低速冲击损伤分析研究[D]. 南京航空航天大学, 2018.
Gong BB. Study on the analysis of low-velocity impact damage of stitched composite laminates[D]. Nanjing University of Aeronautics and Astronautics, 2018.
[12]王裕龙. 缝合复合材料加筋壁板低速冲击损伤分析[D]. 南京航空航天大学, 2014.
Wang YL. Analysis of low-velocity impact damage of stitched composite reinforced wall panels [D]. Nanjing University of Aeronautics and Astronautics, 2014.
[13]曹启武. 缝合复合材料层合板疲劳寿命分析模型研究[D]. 中国民航大学, 2015.
Cao QW. Study on fatigue life analysis model of stitched composite laminates[D]. Civil Aviation University of China, 2015.
[14]章宇界. 缝合及层间/层内混杂复合材料冲击后弯曲性能的研究[D]. 上海:东华大学,2016.
Zhang YJ. Study of post-impact bending properties of stitched and inter/intra-ply hybrid composites[D]. Shanghai:Donghua University,2016.
[15] Yuan, L., Liang, S. & Yan, S. In-Plane Elastic Properties of Stitched Plain Weave Composite Laminate[J]. Shanghai Jiaotong Univ. (Sci.) (2021). https://doi.org/10.1007/s12204-021-2375-4
[16]Hu M Y, Wang A W. Free vibration and transverse stresses of viscoelastic laminated plates[J]. Applied Mathematics and Mechanics-English edition, 2009, 30:101–108.
[17]Zhai Y, Liang S. Optimal lay-ups to maximize loss factor of cross-ply composite plate[J]. Composite Structures, 2017, 168: 597-607.
[18]闫盛宇,梁森,郑长升等.嵌入式共固化缝合阻尼复合材料的力学性能[J].西安交通大学学报,2019,53(11):96-100.
Yan SY, Liang S, Zheng CS et al. Mechanical properties of embedded co-cured stitched damping composites[J]. Journal of Xi'an Jiaotong University,2019,53(11):96-100.
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