Vibration and acoustics characteristics of fiber/resin sandwich sheet with porous foam core
-
摘要:
针对带有多孔泡沫芯的纤维/树脂三明治板，建立了其在平面声波载荷激励下的声振特性分析模型。基于1阶剪切变形理论、四节点等参四边形单元有限元法等，推导了平面声波载荷作用下结构的自由、强迫振动方程，成功求解了固有频率和振动速度响应。为了获取结构的声辐射功率，使用瑞利积分方法确定了振动速度响应和辐射声压之间的定量关系，并通过定义辐射与入射声功率，获得了结构的传声损失系数。利用自行搭建的振动和噪声一体化测试系统开展了实验验证研究，发现理论计算获得的固有频率、共振响应和声压响应的计算误差分别不超过4.9%、10.8%和8.9%，由此证明了所建立的理论模型在预测结构声振响应特性方面的有效性。
Abstract:A theoretical analysis model of vibration and acoustic characteristics for fiber-reinforced polymer sandwich sheet with a porous foam core subjecting to planar acoustic wave was established. First of all, based on the first-order shear deformation theory and the four-node quadrilateral isoperimetric finite element approach, the free and forced vibration equations of the sandwich sheet subjecting to planar acoustic wave were derived to solve natural frequencies, modal shape and vibration velocity response. Furthermore, to obtain the sound radiation power of the sandwich sheet, the Rayleigh integral approach was used to determine the quantitative relationships between the vibration velocity response and acoustic radiation pressures, and the sound transmission loss was obtained by defining the radiation and incident acoustic power. An experimental verification study was performed using a self-built integrated vibration and noise test system. It was found that the calculation errors of natural frequency, resonance response and sound pressure response obtained by theoretical analysis were less than 4.9%, 10.8% and 8.9%, respectively, proving the effectiveness of the established model in predicting the structural vibration and acoustics responses.
-
图 1 带有多孔泡沫芯的纤维/树脂三明治板的理论模型
Figure 1. Theoretical model of fiber/resin sandwich sheet with porous foam core
图 2 PFSS试件振动和噪声一体化测试系统
Figure 2. Integrated vibration and noise test system of the PFSS structure
图 3 PFSS试件声振特性测试时测点位置示意图（单位：mm）
Figure 3. Diagrammatic of the test point for the PFSS structure vibration and acoustics characteristics test （unit: mm）
图 4 PFSS试件在不同测点位置的共振响应
Figure 4. Resonance response of the PFSS test piece at different test points
图 5 PFSS试件在不同测点处的声压级
Figure 5. Sound pressure level of the PFSS test piece at different test points
图 6 理论计算获得的不同声波入射角度下PFSS结构的传声损失
Figure 6. Theoretical results of the sound transmission loss of the PFSS structure at different incident angles
表 1 PFSS试件的材料参数
Table 1. Material parameters of PFSS test piece
参数 面板层 芯层 弹性模量/GPa 纤维纵向 87 70 纤维横向 8 切变模量/GPa 面内 3.1 26.9 面外 3.1 泊松比 0.32 0.3 密度/（kg/m3） 1618 2700 孔隙系数 0.9 
下载: 导出CSV
表 2 PFSS试件固有频率
Table 2. Natural frequency of the PFSS test piece
参数 1阶 2阶 3阶 4阶 5阶 频率/Hz 实验 484.0 808.5 860.5 1273.0 1794.5 理论 485.4 848.1 892.3 1326.5 1844.7 误差/% 0.3 4.9 3.7 4.2 2.8
下载: 导出CSV
-
[1] MOURITZ A P,GELLERT E,BURCHILL P,et al. Review of advanced composite structures for naval ships and submarines[J]. Composite Structures,2001,53(1): 21-42. doi: 10.1016/S0263-8223(00)00175-6 [2] BANHART J,SEELIGER H W. Aluminium foam sandwich panels: manufacture, metallurgy and applications[J]. Advanced Engineering Materials,2008,10(9): 793-802. doi: 10.1002/adem.200800091 [3] 李晖, 孙伟, 许卓. 纤维增强复合薄板振动测试与分析方法[M]. 北京: 机械工业出版社, 2020. [4] MAGNUCKA-BLANDZI E. Dynamic stability and static stress state of a sandwich beam with a metal foam core using three modified Timoshenko hypotheses[J]. Mechanics of Advanced Materials and Structures,2011,18(2): 147-158. [5] 辛锋先,卢天健,陈常青. 轻质金属三明治板的隔声性能研究[J]. 声学学报,2008,33(4): 340-347. doi: 10.3321/j.issn:0371-0025.2008.04.009XIN Fengxian,LU Tianjian,CHEN Changqing. Sound transmission through lightweight metallic sandwich panel with corrugated core[J]. Acta Acustica,2008,33(4): 340-347. (in Chinese) doi: 10.3321/j.issn:0371-0025.2008.04.009 [6] LI Hui,XUE Pengcheng,GUAN Zhongwei,et al. A new nonlinear vibration model of fiber-reinforced composite thin plate with amplitude-dependent property[J]. Nonlinear Dynamics,2018,94(3): 2219-2241. doi: 10.1007/s11071-018-4486-5 [7] LI Hui,WANG Xintong,HU Xiaoyue,et al. Vibration and damping study of multifunctional grille composite sandwich plates with an IMAS design approach[J]. Composites: Part B Engineering,2021,223: 109078.1-109078.14. [8] 王亚南,李明俊,胡健东,等. 多孔夹芯多层复合板的总传递矩阵及其吸隔声分析应用[J]. 南昌航空大学学报(自然科学版),2015,29(1): 7-12.WANG Yanan,LI Mingjun,HU Jiandong,et al. Analysis on total tranfer matrix for multilayer composite with porous sandwich material and its properties of sound absorption and sound insulation[J]. Journal of Nanchang Hangkong University (Natural Sciences),2015,29(1): 7-12. (in Chinese) [9] CRUPI V,MONTANINI R. Aluminium foam sandwiches collapse modes under static and dynamic three-point bending[J]. International Journal of Impact Engineering,2007,34(3): 509-521. doi: 10.1016/j.ijimpeng.2005.10.001 [10] LI Hui,WANG Wenyu,WANG Xintong,et al. A nonlinear analytical model of composite plate structure with an MRE function layer considering internal magnetic and temperature fields[J]. Composites Science and Technology,2020,200: 108445.1-108445.12. [11] 何柏灵,赵桂平,卢天健. 复合材料面层-泡沫金属夹芯板的振动及吸能特性分析[J]. 兵工学报,2014,35(2): 228-234. doi: 10.3969/j.issn.1000-1093.2014.02.014HE Bailing,ZHAO Guiping,LU Tianjian. Analysis of vibration and energy-absorption characteristics of sandwich plates with metallic foam cores and composite facesheets[J]. Acta Armamentaria,2014,35(2): 228-234. (in Chinese) doi: 10.3969/j.issn.1000-1093.2014.02.014 [12] XIAO D,MU L,ZHAO G. The influence of correlating material parameters of gradient foam core on free vibration of sandwich panel[J]. Composites: Part B Engineering,2015,77: 153-161. doi: 10.1016/j.compositesb.2015.03.013 [13] 肖登宝,赵桂平. 金属梯度多孔夹芯板振动特性分析[J]. 航空学报,2017,38(6): 135-142. doi: 10.7527/S1000-6893.2016.220576XIAO Dengbao,ZHAO Guiping. Vibration response of sandwich panels with gradient metallic oellular core[J]. Acta Aeronautica et Astronautica Sinica,2017,38(6): 135-142. (in Chinese) doi: 10.7527/S1000-6893.2016.220576 [14] LI Q,WU D,CHEN X,et al. Nonlinear vibration and dynamic buckling analyses of sandwich functionally graded porous plate with graphene platelet reinforcement resting on Winkler-Pasternak elastic foundation[J]. International Journal of Mechanical Sciences,2018,148: 596-610. doi: 10.1016/j.ijmecsci.2018.09.020 [15] HESHMATI M,JALALI S K. Effect of radially graded porosity on the free vibration behavior of circular and annular sandwich plates[J]. European Journal of Mechanics: A/Solids,2019,74: 417-430. doi: 10.1016/j.euromechsol.2018.12.009 [16] ZENG S,WANG B L,WANG K F. Nonlinear vibration of piezoelectric sandwich nanoplates with functionally graded porous core with consideration of flexoelectric effect[J]. Composite Structures,2019,207: 340-351. doi: 10.1016/j.compstruct.2018.09.040 [17] DAIKH A A, ZENKOUR A M. Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory[J]. Materials Research Express, 2019, 6(11): 115707.1-115707. xx(页数).DAIKH A A,ZENKOUR A M. Free vibration and buckling of porous power-law and sigmoid functionally graded sandwich plates using a simple higher-order shear deformation theory[J]. Materials Research Express,2019,6(11): 115707.1-115707.18. [18] GAI X L,XING T,LI X H,et al. Sound absorption of microperforated panel with L shape division cavity structure[J]. Applied Acoustics,2017,122: 41-50. doi: 10.1016/j.apacoust.2017.02.004 [19] GAI X L,XING T,LI X H,et al. Sound absorption properties of microperforated panel with membrane cell and mass blocks composite structure[J]. Applied Acoustics,2018,137: 98-107. doi: 10.1016/j.apacoust.2018.03.013 [20] 张丰辉,唐宇帆,辛锋先,等. 微穿孔蜂窝-波纹复合声学超材料吸声行为[J]. 物理学报,2018,67(23): 120-130. doi: 10.7498/aps.67.20181368ZHANG Fenghui,TANG Yufan,XIN Fengxian,et al. Micro-perforated acoustic metarnaterial with honeycomb-corrugation hybrid core for broadband low frequency sound absorption[J]. Acta Physical Sinca,2018,67(23): 120-130. (in Chinese) doi: 10.7498/aps.67.20181368 [21] MENG H,GALLAND M A,ICHCHOU M,et al. Small perforations in corrugated sandwich panel significantly enhance low frequency sound absorption and transmission loss[J]. Composite Structures,2017,182: 1-11. [22] FU T,CHEN Z,YU H,et al. An analytical study of sound transmission through corrugated core FGM sandwich plates filled with porous material[J]. Composites: Part B Engineering,2018,151: 161-172. doi: 10.1016/j.compositesb.2018.06.010 [23] XU Z,ZHANG Z,WANG J,et al. Acoustic analysis of functionally graded porous graphene reinforced nanocomposite plates based on a simple quasi-3D HSDT[J]. Thin-Walled Structures,2020,157: 107151.1-107151.14. [24] KUMAR A,GUNASEKARAN V,PITCHAIMANI J. Acoustic response behavior of porous 3D graphene foam plate[J]. Applied Acoustics,2020,169: 107431.1-107431.17. [25] ARUNKUMAR M P,PITCHAIMANI J,GANGADHARAN K V,et al. Vibro-acoustic response and sound transmission loss characteristics of truss core sandwich panel filled with foam[J]. Aerospace Science and Technology,2018,78: 1-11. doi: 10.1016/j.ast.2018.03.029 [26] ZHOU K,LIN Z,HUANG X,et al. Vibration and sound radiation analysis of temperature-dependent porous functionally graded material plates with general boundary conditions[J]. Applied Acoustics,2019,154: 236-250. doi: 10.1016/j.apacoust.2019.05.003 [27] LI Z,WANG Q,QIN B,et al. Vibration and acoustic radiation of magneto-electro-thermo-elastic functionally graded porous plates in the multi-physics fields[J]. International Journal of Mechanical Sciences,2020,185: 105850.1-105850.15. [28] NGUYEN N V,NGUYEN-XUAN H,LEE D,et al. A novel computational approach to functionally graded porous plates with graphene platelets reinforcement[J]. Thin-Walled Structures,2020,150: 106684.1-106684.20. [29] LI H,LV H Y,SUN H,et al. Nonlinear vibrations of fiber-reinforced composite cylindrical shells with bolt loosening boundary conditions[J]. Journal of Sound and Vibration,2021,496(31): 115935.1-115935.18. -
点击查看大图
计量
- 文章访问数: 77
- HTML浏览量: 76
- PDF量: 37
- 被引次数: 0