THE RESEARCH PROGRESS OF DYNAMIC CHARACTERISTICS OF THE COMPOSITE SANDWICH STRUCTURE

Abstract

Abstract: The composite sandwich structure is composed of upper and lower layer fiber reinforced composite and core layer, which has advantages of high specific strength, good damping property, design of fiber layer and light quality. It is often used as an vibration reducing structure. The study of its dynamic characteristics is instructive for its design. In this paper, the research achievements of dynamic characteristics of composite sandwich structure at home and abroad are reviewed, which include the mechanical analysis model of sandwich structure, core viscoelastic material constitutive model, the analysis method of the viscoelastic sandwich structure dynamic characteristic, viscoelastic composite sandwich beam and plate, discrete core composite sandwich structure. The calculation method of the dynamic characteristics of different structure and these limitations are summarized, and the breakthroughs and difficulties of different types of sandwich structure theory or numerical calculation are pointed out. Finally, the trend of future research on the dynamic characteristics of composite sandwich structures is also pointed out. It is concluded that, in the past, the structure damping properties prediction followed the course of gradually approaching the viscoelastic properties of materials, from regardless of frequency to frequency. The research object has the trend from the regular object to the large complex structure. In future, in terms of theoretical solution, the dynamic response closed solution of the sandwich beam and plate needs in-depth study. In terms of the dynamic response, the dynamic characteristics of the free paving layer surface structure need to be studied with the strip transfer function method. In application research, in order to reduce the scale and difficulty of calculation, a material constitutive model that can approximate the mechanical behavior and adapt to numerical solutions must be seeked, and accordingly improve the numerical solutions, will become a research hotspot.

Key words: composite, sandwich structure, dynamic characteristics, research progress

CLC Number:

TB332

YANG Kun, ZHANG Wei, DU Du. THE RESEARCH PROGRESS OF DYNAMIC CHARACTERISTICS OF THE COMPOSITE SANDWICH STRUCTURE[J]. Fiber Reinforced Plastics/Composites, 2019, 0(9): 110-118.

References

[1] Edward M, Kerwin J. Damping of flexural waves by a constrained viscoelastic layer[J]. The Journal of the Acoustical Society America, 1959, 31(7): 952-962.
[2] Mead D J. The double-skin damping configuration[R]. Southampton: University of Southampton, Department of Aeronautics & Astronautics, 1962.
[3] Raoand Y V K. Vibrations of unsymmetrical sandwich beams and plates with viscoelastic cores[J]. Journal of Sound and Vibration, 1974, 34(3): 309-326.
[4] Kant T, Swaminathan K. Analytical solution for free vibration of laminated composite and sandwich plates base on a higher-order refined theory[J]. Composite Structrues, 2001, 53(1): 73-85.
[5] Kristensena R F, Nielsen K L, Mikkelsen L P. Numerical studies of shear damped composite beams using aconstrained damping layer[J]. Composite Structures, 2008, 83: 304-311.
[6] WU Z, CHEN W J. An assessment of several displacement-based theories for the vibration and stability analysis of laminated composite and sandwich beams[J]. Composite Structures, 2008, 84: 337-349.
[7] Eric M A, Daniel J I. Effects of modeling assumptions on loss factors predicted for viscoelastic sandwich beams[C]//Smart Structure and Materials 1999: Passive Damping and Isolation. Phoenix, America:
1999.
[8] Eric M A, Daniel J I. Studies on the kinematic asumptions for sandwich beams[C]//Conference on Passive Damping and Isolation, at the Smart Structure and Materials. San Diego, America: 1997.
[9] Yong B C, Ronald C A. An improved theory and finite-element model for laminated composite and sandwich beams using first-order Zig-zag sublaminate approximations[J]. Composite Structrues, 1997, 34(3-4): 281-298.
[10] Kapuria S, Dumir P C, Jain N K. Assessment of Zigzag theory for static loading, buckling, free and forced response of composite and sandwich beams[J]. Composite Structures, 2004, 64(3-4): 317-327.
[11] 杨挺青. 粘弹性力学[M]. 武汉: 华中理工大学出版社, 1990.
[12] Hocine B, Mourad I. Computation of the relaxation and creep functions of elastomers from harmonic shear modulus[J]. Mechanics of Time-Dependent Materials, 2011, 15(2): 119-138.
[13] 孙海忠, 张卫. 服从分数导数kelvin本构模型的粘弹性阻尼器的阻尼性能分析及试验研究[J]. 振动工程学报, 2008, 21(1): 48-53.
[14] Golla D F, Hughes P C. Dynamics of viscoelastic structures-a time-domain, finite element formulation[J]. Journal of Applied Mechanics, 1985, 52(4): 897-907.
[15] 郭亚娟, 李惠清, 孟光, 等. 粘弹性自由层阻尼悬臂梁的有限元模型[J]. 上海交通大学学报, 2007, 41(9): 1538-1541.
[16] Hong Y, He X D, Wang R G. Vibration and damping analysis of a composite blade[J]. Materials & Design, 2011, 34: 98-105.
[17] Zhang S H, Chen H L. A study on the damping characteristics of laminated composites with integral viscoelastic layers[J]. Composite Structures, 2006, 74(1): 63-69.
[18] Meunier M, Shenoi R A. Dynamic analysis of composite sandwich plates with damping modelled using high-order shear deformation theory[J]. Composite Structures, 2001, 54(2-3): 243-254.
[19] Eslie R, Castro M. Vibration-based stiffness and damping matrices updating of a sandwich composite beam[D]. Mayaguez: University of Puerto Rico, 2005.
[20] Mctavish D J, Hughes P C. Modeling of linear viscoelastic space structures[J]. Journal of Vibration and Acoustics, 1993, 115(1): 103-110.
[21] Barbosa F S, Farage M C R. A finite element model for sandwich viscoelastic beams: experimental and numerical assessment[J]. Journal of Sound and Vibration, 2008, 317(1-2): 91-111.
[22] Aytac A, Ibrahim O. Vibration analysis of composite sandwich beams with viscoelasticcore by using differential transform method[J]. Composite Structures, 2010, 92(12): 3031-3039.
[23] Zhou J P, Feng Z G. Transient response analysis of one-dimensional distributed parameter systems[J]. International Journal of Solids and Structures, 1999, 36(19): 2807-2824.
[24] Yang B, Tan C A. Transfer functions of one-dimensional distributed parameter system[J]. AIAA Journal, 1992, 59(4): 1009-1014.
[25] 李恩奇. 基于分布参数传递函数方法的被动约束层阻尼结构动力学分析[D]. 长沙: 国防科学技术大学, 2007.
[26] 李恩奇, 李道奎, 唐国金, 等. 基于传递函数方法的局部覆盖环状CLD圆柱壳动力学分析[J]. 航空学报, 2007, 28(6): 1487-1494.
[27] 李恩奇, 唐国金, 雷勇军. 约束层阻尼板动力学问题的传递函数解[J]. 国防科技大学学报, 2008, 30(1): 1-5.
[28] 李海阳. 数学物理问题的数值分布传递函数方法[D]. 长沙: 国防科技大学, 1999.
[29] Chyanbin H, Chang W C, Gai H S. Vibration suppression of composite sandwich beams[J]. Journal of Sound and Vibration, 2004, 272(1-2): 1-20.
[30] Jian S H, Chyanbin H. Free vibration of delaminated composite sandwich beams[J]. AIAA Journal, 1995, 33(10): 1911-1918.
[31] Zapfe J A, Lesieutre G A. A discrete layer beam finite element for the dynamic analysis of composite sandwich beams with integral damping layers[J]. Composite & Structrues, 1999, 70(6): 647-666.
[32] Zapfe J A, Lesieutre G A, Wodfke H W. Damping analysis of composite sandwich beams using a discrete layer finite element with comparison to experimental data[J]. AIAA Journal, 1995, 12(13): 470-479.
[33] Ganapathia M, Patela B P, Boisseb P. Flexural loss factors of sandwich and laminated composite beams using linear and nonlinear dynamic analysis[J]. Composites: Part B, 1999, 30(3): 245-256.
[34] Plagianakos T S, Saravanos D A. High-order layer wise mechanics and finite element for the damped dynamic characteristics of sandwich composite beams[J]. International Journal of Solids and Structures, 2004, 41(24-25): 6853-6871.
[35] Marco G, Alexander T, Marco D S. C0 beam elements based on the refined Zigzag theory for multilayered composite and sandwich laminates[J]. Composite Structures, 2011, 93(11): 2882-2894.
[36] Arvin H, Sadighi M, Ohadi A R. A numerical study of free and forced vibration of composite sandwich beam with viscoelastic core[J]. Composite Structures, 2010, 92(4): 996-1008.
[37] 李天奇, 雷勇军, 唐国金, 等. 基于传递函数方法的约束层阻尼梁动力学分析[J]. 振动与冲击, 2007, 26(2): 75-78.
[38] Chaudry A H. Passive stand-off layer damping treatment: theory and experiments[D]. Baltimore: Univeristy of Maryland, 2006.
[39] Susanto K S. Design, modeling and analysis of piezoelectric forceps actuator[D]. California: University of Southern Colifornia, 2007.
[40] 刘畅, 郭靳时. 用差分法求解正交各向异性夹层板的弹性弯曲方程[J]. 吉林建筑工程学院学报, 1999(1): 1-7.
[41] 张晓芳. 表层正交异性材料夹层板弯曲平衡方程及边界条件[J]. 江苏理工大学学报, 1998, 19(5): 94-100.
[42] Cupial P, Niziol J. Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer[J]. Journal of Sound and Vibration, 1995, 183(1): 99-114.
[43] Terry H, Liviu L. Flexural free vibration of sandwich flat panels with laminated anisotropic face sheets[J]. Journal of Sound and Vibration, 2006, 297(3-5): 823-841.
[44] Khare R K, Kant T, Garg A K. Free vibration of composite and sandwich laminates with a higher-order facet shell element[J]. Composite Structures, 2004, 65(3-4): 405-418.
[45] Rao M K, Desai Y M. Analytical solutions for vibrations of laminated and sandwich plates using mixed theory[J]. Composite Structrues, 2004, 63(3-4): 361-373.
[46] Liu Q A, Zhao Y. Natural frequency analysis of a sandwich panel with soft core based on a refined shear deformation model[J]. Composite Structures, 2006, 72(8): 364-374.
[47] Meunier M, Shenoi R A. Dynamic ananlysis of compisite sandwich plate with damping modelled using high-order shear deformation theory [J]. Composite Structures, 2001, 54(2-3): 243-254.
[48] Lee L J, Fan Y J. Bending and vibration analysis of composite sandwich plates[J]. Computers & Structures, 1996, 60(1): 103-112.
[49] 白瑞祥, 张志峰, 陈浩然. 基于Zig-Zag变形假定的复合材料夹层板的自由振动[J]. 力学季刊, 2004, 25(4): 528-534.
[50] Wu Z, Chen W J. Free vibration of laminated composite and sandwich plates using global-local higher-order theory[J]. Journal of Sound and Vibration, 2006, 298(1-2): 333-349.
[51] Etkovic M C, Vuksanovic D. Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model[J]. Composite Structures, 2009, 88(2): 219-227.
[52] 师俊平, 刘协会, 赵巨才, 等. 复合材料夹层板的振动及阻尼分析[J]. 应用力学学报, 1996, 13(2): 132-136.
[53] Nayak A K, Moy S S J, Shenoi R A. Free vibration analysis of composite sandwich plates based on reddy′s higher-order theory[J]. Composites:Part B, 2002, 33(7): 505-519.
[54] Nayak A K, Shenoi R A, Moy S S J. Transient response of composite sandwich plates[J]. Composite Structrues, 2004, 64(3-4): 249-267.
[55] Dai X J, Lin J H, Chen H R. Random vibration of composite structures with an attached frequency-dependent damping layer[J]. Composites:Part B, 2008, 39(2): 405-413.
[56] Cunningham P R, White R G, Aglietti G S. The effects of various design parameters on the free vibration of doubly curved composite sandwich panels[J]. Journal of Sound and Vibration, 2000, 230(3): 617-648.
[57] Sung Y, Kam Y S. A finite element formulation for composite laminates with smart constrained layer damping[J]. Advances in Engineering Software, 2000, 31(8-9): 529-537.
[58] Gibson L J, Ashby M F. Cellular Solids. Structures and properties[M]. Oxford: Pergamon Press, 1988.
[59] Karako A, Freund J. Experimental studies on mechanical properties of cellular structures using nomex honeycomb cores[J]. Composite Structures, 2012, 94(6): 2017-2024.
[60] Cheng Q H, Lee H P, Lu C. A numerical analysis approach for evaluating elastic constants of sandwich structures with various cores[J]. Composite Structures, 2005, 74(2): 226-236.
[61] 富明慧, 尹久仁. 蜂窝芯层的等效弹性参数[J]. 力学学报, 1999, 31(1): 114-123.
[62] Fung T C, Tan K H, Lok T S. Elastic constants for z-core sandwich panels[J]. Journal of Structural Engineering, 1994, 120(10): 3046-3055.
[63] Nordstrand T, Carlsson L A, Allen H G. Transverse shear stiffness of structural core sandwich[J]. Composite Structrues, 1994, 27(3): 317-348.
[64] Lok T S, Cheng Q H. Elastic stiffness properties and behaviour of truss-core sandwich panel[J]. Journal of Structural Engineering, 2000, 126(5): 552-559.
[65] Taylor C M, Smith C W, Miller W. The effects of hierarchy on the in-plane elastic properties of honeycombs[J]. International Journal of Solids and Structures, 2011, 48(9): 1330-1339.
[66] 吴晖, 俞焕然. 四边简支正交各向异性波纹型夹心矩形夹层板的固有频率[J]. 应用数学和力学, 2001, 22(9): 919-927.
[67] Lok T S, Cheng Q H. Free and forced vibration of simply supported, orthotropic sandwich panel[J]. Computer & Structrues, 2001, 79(3): 301-312.
[68] Lok T S, Cheng Q H. Bending and forced vibration response of clamped orthotropic thick plate and sandwich panel[J]. Journal of Sound and Vibration, 2001, 245(1): 63-78.
[69] Lok T S, Cheng Q H. Free vibration of clamped orthotropic sandwich panel[J]. Journal of Sound and Vibration, 2000, 229(2): 311-327.
[70] Li Y Q, Li F, Zhu D W. Geometrically nonlinear free vibrations of the symmetric rectangular honeycomb sandwich panels with simply supported boundaries[J]. Composite Structrues, 2010, 92(5): 1110-1119.
[71] Li Y Q, Zhu D W. Geometrically nonlinear forced vibrations of the symmetric honeycomb sandwich panels affected by the water[J]. Composite Structures, 2011, 93(2): 880-888.
[72] Saha G C, Kalamkarov A L, Georgiades A V. Effective elastic characteristics of honeycomb sandwich composite shells made of generally orthotropic materials[J]. Composites: Part A, 2007, 38(6): 1533-1546.
[73] Marc R B, Xavier B. Measurement of relevant elastic and damping material properties in sandwich thick plates[J]. Journal of Soundand Vibration, 2011, 330(25): 6098-6121.
[74] 徐胜今, 孔宪仁, 王本利. 正交异性蜂窝夹层板动静力学问题的等效分析方法[J]. 复合材料学报, 2000, 17(3): 92-96.
[75] 刘畅, 钟善桐, 苗若愚. 正交各向异性夹层板的基本方程[J]. 吉林建筑工程学院学报, 1997(4): 1-6.
[76] 徐胜今, 宋宇, 王本利. 正交异性蜂窝夹层板的动力学分析[J]. 复合材料学报, 1998, 15(4): 74-80.
[77] 王萍萍, 罗文波, 邹经湘. 碳纤维蜂窝夹层结构动特性分析[J]. 复合材料学报, 2002, 19(6): 134-137.
[78] Liu J, Au F T K, Cheng Y S. A semi-analytical method for bending, buckling and free vibration analyses of sandwieh panels with square honeycomb cores[J]. International Journal of Structural Stability and Dynamics, 2010, 10(1): 127-151.
[79] Xin F X, Lu T J. Analytical modeling of wave propagation in orthogonally rib-stiffened sandwich structures: sound radiation[J]. Computers & Structures, 2011, 89(5-6): 507-516.
[80] Xin F X, Lu T J. Sound radiation of orthogonally rib-stiffened sandwich structures with cavity absorption[J]. Composites Science and Technology, 2010, 70(15): 2198-2206.
[81] 习仲萍, 曹建英. 正交加筋双层板的挠曲微分方程[J]. 现代机械, 2011(1): 55-56.
[82] 刘均, 程远胜. 考虑芯层离散特性的方形蜂窝夹层板自由振动分析[J]. 固体力学学报, 2009, 30(1): 90-94.
[83] 刘均, 程远胜. 考虑几何特征的方形蜂窝夹层板总体屈曲载荷求解方法[J]. 工程力学, 2009, 26(7): 245-251.
[84] 吴梵, 杨坤, 梅志远. 正交加筋复合材料夹层板弯曲问题求解[J]. 船舶力学, 2013, 17(1-2): 92-101.
[85] 杨坤, 梅志远, 李华东. 正交加筋复合材料夹层板自由振动分析[J]. 上海交通大学学报, 2014, 48(6): 863-869.
[86] Burton W S, Noor A K. Assessment of continuum models for sandwich panel honeycomb cores[J]. Computer Methods in Applied Mechanics and Engineering, 1997, 145(3-4): 341-360.
[87] Burlayenkoa V N, Sadowskib T. Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates[J]. International Journal of Non-LinearMechanics, 2010, 45(10): 959-968.
[88] Rathbun H J, Radford D D, Xue Z. Performance of metallic honeycomb-core sandwich beams under shock loading[J]. International Journal of Solids and Structures, 2006, 43 (6): 1746-1763.
[89] Wang T, Ma M, Yu W L, et al. Mechanical response of square honeycomb sandwich plate with asymmetric face sheet subjected to blast loading[J]. Procedia Engineering, 2011, 23: 457-463.
[90] Russell B P, Liu T, Fleck N A. The soft impact of composite sandwich beams with a square-honeycomb core[J]. International Journal of Impact Engineering, 2011, 48: 65-81.
[91] Chen Y, Zhang Z Y, Wang Y. Crush dynamics of square honeycomb thin rubber wall[J]. Thin-Walled Structures, 2009, 47(12): 1447-1456.
[92] Dharmasena K P, Wadley H N G, Xue Z Y. Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading [J]. International Journal of Impact Engineering, 2008, 35(9): 1063-1074.