Vibration behavior and damping performance of carbon fiber composite double-arrow corrugated auxetic structures
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摘要: 复合材料负泊松比结构具有优异的力学性能,近年来受到了国内外学者的广泛关注。运用模压成型工艺和热压罐工艺制备了梯形和正弦形二维双箭头碳纤维增强复合材料多孔拉胀夹芯结构,使用振动台装置对结构进行扫频试验,获得了结构的振动频响曲线。建立了结构的三维有限元模型,并与试验结果对比,验证了仿真模型的准确性。基于此,系统研究了单胞厚度、角度、拓扑构型和厚度梯度等参数对结构的振动特性及减振性能的影响。结果表明,随着芯子单胞厚度和角度的增加,结构的固有频率上升,加速度响应峰值下降,结构的减振性能提高。相比于正弦形结构,梯形结构通常具有更高的固有频率和更好的减振性能。相比其他均匀和梯度结构,渐弱结构具有较好的减振性能。Abstract: Composite materials with negative Poisson's ratio have received extensive attention in recent years due to their excellent mechanical properties. The trapezoidal and sinusoidal two-dimensional double arrow carbon fiber composite sandwich structures were fabricated by molding and autoclave process. The vibration frequency response curves of the structures were obtained by frequency sweep test with shaking table. The three-dimensional finite element model of the structure was established and compared with the experimental results to verify the accuracy of the simulation model. Based on this, the effects of cell thickness, angle, topological configuration and thickness gradient on the vibration characteristics and damping performance of the structure were systematically studied. The results show that with the increase of the thickness and angle of the core cell, the natural frequency of the structure increases, the peak value of the acceleration response decreases, and the damping performance of the structure improves. Compared with the sinusoidal structure, the trapezoidal structure usually has higher natural frequency and better damping performance. Compared with other uniform and gradient structures, the weakening structure has better damping performance.
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Key words:
- carbon fiber composite /
- auxetic structure /
- vibration /
- damping /
- numerical simulation
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图 1 复合材料拉胀双箭头波纹夹芯结构(DACSPs)及单胞尺寸
Figure 1. Structure and cell size of composites auxetic double-arrow corrugated sandwich panels (DACSPs)
a—Length; b—Width; h—Height; tf—Thickness; d—Hypotenuse span of trapezoidal corrugated plate; tc—Thickness of corrugated plate thickness; dh—Flat span of trapezoidal corrugated plate; θ—Angle
表 1 文中常见复合材料拉胀DACSPs结构代号与代号含义
Table 1. Composite auxetic DACSPs structure code and code meaning in this paper
Model
codeType of
corrugated plateCorrugated
plate angleCorrugated plate
thickness/mmModel
codeType of
corrugated plateCorrugated
plate angleCorrugated plate
thickness/mmS121 Sinusoid (S) 15°/30°(12) 0.50(1) T121 Trapezoid (T) 15°/30°(12) 0.50(1) S122 Sinusoid (S) 15°/30°(12) 0.75(2) T122 Trapezoid (T) 15°/30°(12) 0.75(2) S131 Sinusoid (S) 15°/45°(13) 0.50(1) T131 Trapezoid (T) 15°/45°(13) 0.50(1) S132 Sinusoid (S) 15°/45°(13) 0.75(2) T132 Trapezoid (T) 15°/45°(13) 0.75(2) S141 Sinusoid (S) 15°/60°(14) 0.50(1) T141 Trapezoid (T) 15°/60°(14) 0.50(1) S142 Sinusoid (S) 15°/60°(14) 0.75(2) T142 Trapezoid (T) 15°/60°(14) 0.75(2) S231 Sinusoid (S) 30°/45°(23) 0.50(1) T231 Trapezoid (T) 30°/45°(23) 0.50(1) S232 Sinusoid (S) 30°/45°(23) 0.75(2) T232 Trapezoid (T) 30°/45°(23) 0.75(2) S241 Sinusoid (S) 30°/60°(24) 0.50(1) T241 Trapezoid (T) 30°/60°(24) 0.50(1) S242 Sinusoid (S) 30°/60°(24) 0.75(2) T242 Trapezoid (T) 30°/60°(24) 0.75(2) S341 Sinusoid (S) 45°/60°(34) 0.50(1) T341 Trapezoid (T) 45°/60°(34) 0.50(1) S342 Sinusoid (S) 45°/60°(34) 0.75(2) T342 Trapezoid (T) 45°/60°(34) 0.75(2) 表 2 碳纤维增强树脂基复合材料层合板的力学性能
Table 2. Mechanical properties of carbon fiber reinforced resin composite laminates
Property Value Longitudinal Young’s modulus $ {E}_{1}/\mathrm{G}\mathrm{P}\mathrm{a} $ $ 51.5 $ Transverse modulus $ {E}_{2}/\mathrm{G}\mathrm{P}\mathrm{a} $ $ 51.5 $ Out-of-plane modulus $ {E}_{3}/\mathrm{G}\mathrm{P}\mathrm{a} $ $ 10.1 $ Poisson's ratio $ {\nu }_{12} $ 0.32 Poisson's ratio $ {\nu }_{13},{\nu }_{23} $ 0.30 Shear modulus $ {G}_{12}/\mathrm{G}\mathrm{P}\mathrm{a} $ $4.0$ Shear modulus $ {G}_{13},{G}_{23}/\mathrm{G}\mathrm{P}\mathrm{a} $ $ 4.8 $ Density $ \rho $/(kg·m−3) $1\;523.3$ 表 3 DACSPs结构减振能力归一化指标
Table 3. Normalized index of DACSPs structural damping capacity
Unit: m·s−2·g−1 S121 S122 S131 S132 S141 S142 S231 S232 S241 S242 S341 S342 2.16 1.47 2.05 1.43 1.92 1.20 1.16 0.65 1.08 0.71 0.60 0.36 T121 T122 T131 T132 T141 T142 T231 T232 T241 T242 T341 T342 2.03 — 2.03 1.56 1.71 1.13 1.00 0.71 0.91 0.59 0.34 0.25 表 4 DACSPs波纹板排布方式代号
Table 4. Code of corrugated plate arrangement DACSPs
Unit: mm Code Progressive
(P)Weakening
(W)Strong-weak-strong
(SWS)Weak-strong-weak
(WSW)Uniform
(U)Thickness of top corrugated plate 1.00 0.50 1.00 0.50 1.00 Thickness of middle corrugated plate 0.75 0.75 0.50 1.00 1.00 Thickness of bottom corrugated plate 0.50 1.00 1.00 0.50 1.00 表 5 正弦形(S)五种梯度化构型DACSPs的前三阶固有频率
Table 5. First three natural frequencies of five sinusoidal (S) graded configurations DACSPs
Unit: Hz S-U S241 S-P S-W S-SWS S-WSW Modal-1 789.6 773.1 742.3 804.9 755.1 811.5 Modal-2 1015.2 992.3 1007.1 971.7 967.6 1041.6 Modal-3 1478.1 1248.0 1329.2 1416.3 1339.9 1299.2 表 6 五种梯度化(T)构型DACSPs的前三阶固有频率
Table 6. First three natural frequencies of five trapezoid (T) graded configurations DACSPs
Unit: Hz T-U T241 T-P T-W T-SWS T-WSW Modal-1 998.1 958.7 941.7 1023.5 946.1 1013.0 Modal-2 1239.0 1181.1 1230.2 1188.0 1176.1 1248.4 Modal-3 1599.7 1318.5 1383.1 1475.0 1381.3 1375.4 -
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