阻尼夹芯复合材料加筋板的振动分析与数值模拟

PDF(1663 KB)

振动与冲击 ›› 2020, Vol. 39 ›› Issue (5) : 250-261.

论文

路庆贺，梁森，周运发，郑长升

作者信息 +

Vibration characteristics analysis and numerical simulation for stiffened plates with damping core composite

LU Qinghe , LIANG Sen, ZHOU Yunfa, ZHENG Changsheng

Author information +

文章历史 +

摘要

以阻尼夹芯复合材料加筋板为研究对象，依据一阶剪切变形理论（FSDT）和Hamilton原理，推导板和加强筋的应变能、动能表达式，采用变分原理建立控制微分方程，根据相关边界条件和傅里叶级数求解方程。建立了ANSYS阻尼夹芯复合材料加筋板的有限元模型，该模型考虑到阻尼夹芯复合材料加筋板中阻尼材料与纤维预浸料间的结合方式，用模态应变能有限元数值模拟方法研究了结构的动力学性能，并通过对数值模拟结果与理论解的比较，验证了模型的合理性和有效性。探讨了不同的筋条尺寸、不同的筋条数量、不同的筋条分布方式对阻尼夹芯复合材料加筋板动力学性能的影响，得出了阻尼夹芯复合材料加筋板的一阶模态频率和损耗因子随不同参数的变化曲线，其结论为阻尼夹芯复合材料加筋板的优化设计提供参考。

Abstract

Based on the first-order shear deformation theory (FSDT), expressions of strain energy and kinetic energy of a stiffened plate with damping core composite and stiffeners were derived, and its governing dynamic differential equations were established using Hamilton principle.According to the relevant boundary conditions, the equations were solved using Fourier series.The finite element model for this damping core composite stiffened plate was established using the software ANSYS considering combination mode of damping material and fiber prepreg in this plate.Dynamic characteristics of the plate were studied with the finite element numerical simulation method of modal strain energy.Through comparing the numerical simulation results with the theoretical solutions, the rationality and effectiveness of the finite element model were verified.Effects of different rib sizes, number of ribs and distribution of ribs on dynamic characteristics of this plate were discussed to obtain variation laws of its first-order modal frequency and loss factor versus varying curves of different parameters.The study results provided a reference for optimization design of stiffened plates with damping core composite.

导出引用

路庆贺，梁森，周运发，郑长升. 阻尼夹芯复合材料加筋板的振动分析与数值模拟[J]. 振动与冲击, 2020, 39(5): 250-261

LU Qinghe,LIANG Sen, ZHOU Yunfa, ZHENG Changsheng. Vibration characteristics analysis and numerical simulation for stiffened plates with damping core composite[J]. Journal of Vibration and Shock, 2020, 39(5): 250-261

参考文献

[1] 梁森,梁磊,米鹏.嵌入式共固化复合材料阻尼结构的新进展[J].应用力学学报.2010,27(4):767-771.
Sen Liang, Lei Liang, Peng Mi. New develop ment of the embedded and co-cured composite damping structres[J]. Chinese Journal of Applied Mechanics. 2010,27(4):767-771.
[2] Mukheqee A, Mukhopadhyay M. A Review of Dynamic Behavior of Stiffened Plates[J]. The Shock and Vibra-tion Digest, 1986, 18:3-8.
[3] Yanchun Zhai, Sen Liang. Optimal lay-ups to maximize loss factor of cross-ply composite plate [J].Composite Structures,2017,168:597-607.
[4] 付小静,梁森,梁天锡. 温湿效应下嵌入式共固化复合材料阻尼性能[J]. 复合材料学报,2016,33(12):2781-2788.
FU Xiaojing;LIANG Sen;LIANG Tianxi. Damping prop-erties of embedded co-cured composites under the effect of heat and humidity[J]. Acta Materiae Compositae Sinica, 2016,33(12):2781-2788.
[5] 王辉,梁森,王常松.嵌入式共固化穿孔阻尼层复合材料结构动力学性能研究.复合材料学报, 2014,31(1):187-193.
WANG Hui;LIANG Sen;WANG Changsong. Dynamic property analysis of the embedded co-cured perforated damping layer composite structure[J]. Acta Materiae Com-positae Sinica, 2014 , 31(1):187-193.
[6] 李雪，梁森，梁天锡.嵌入式共固化网格阻尼复合材料结构动力学性能. 四川兵工学报.2016,37（3）：132-137.
LI Xue;LIANG Sen;LIANG Tian-xi. Dynamic Property Analysis of Embedded Co-Cured Gridded Damping Struc-ture Composites[J]. Journal of Ordnance Equipment Engi-neering. 2016,37（3）：132-137.
[7] Bhaskar K, Pydah A. An elasticity approach for simply-supported isotropic and orthotropic stiffened plates. Int J Mech Sci 2014;89:21–30.
[8] Xu H, Du J, Li WL. Vibrations of rectangular plates rein-forced by any number of beams of arbitrary lengths and placement angles. J Sound Vib.2010;329(18):3759–79.
[9] 杨加明，钟小丹，赵艳影. 复合材料夹杂双层粘弹性材料的应变能和阻尼性能分析[J]. 工程力学.2010,27(3):212-216.
YANG Jia-ming , ZHONG Xiao-dan , ZHAO Yan-ying. Strain energy and damping analysis of composite laminates with two interleaved viscoelastic layers[J]. Engineering Mechanics. 2010 ,27(3):212-216.
[10] 徐超，林松，王立峰，王建月. 基于 Layerwise 理论的共固化粘弹阻尼复合材料动特性分析[J]. 振动与冲击，2015,34（1）：6-12.
XU Chao;LIN Song;WANG Li-feng;WANG Jian-yue. Layerwise dynamic analysis of composite laminates with co-cured viscoelastic damping layers[J]. Journal of Vibration and Shock,2015,34(1):6-12.
[11] MALY J R, JOHNSON C D. Co-cured viscoelas tic com-posites[C]//Proceeding of SPIE-International Society. [S. l.]:[s. n.], 1996:365-376.
[12] OLCOTT D D, ROTZ C A, EASTMAN P F. Improved vibration damping in composite structures using ‘zig-zag’ fibers and embedded viscoelastic damping lay-ers[C]//Proceedings of the 1993 38th International SAMPE Symposium an Exhibition. Part 2(of 2). Covina: the Society for the Advancement of Material and Process Engineering,1993: 1357-1370.
[13] NAPOLITANO K L, KOSMATKAKA J B. Co-cured extension-twist coupled damped composite strut[J]. Jour-nal of Composite Materials, 1998(32): 1914-1932.
[14] OLCOTT D D, ROTZ C A, BARRETT D J. Improved damping in composite tubes through stress coupling and co-cured damping layers[C]//Proceeding of 23rd Interna-tional SAMPE Technical Conference. Covina: The Society for the Advancement of Material and Process Engineering, 1991: 373-387.
[15] ROTZ C A, BARRETT D J. Co-cured damping layers in composite structures[C]//Proceeding of 23rd International SAMPE Technical Conference. Covina: The Society for the Advancement of Material and Process Engineering, 1991: 352-363.
[16] 梁森,王辉,修瑶瑶.基于遗传算法的嵌入式共固化穿孔阻尼层复合材料结构优化[J]振动与冲击.2013,32（11）:51-55.
LIANG S, WANG H, XIU Y Y. Composite structure optimization for an embedded co-cured perforated damp-ing layer based on genetic algorithm[J]. Journal of Vibra-tion and Shock, 2013,32(11): 51-55.
[17] LIANG S, LIANG K Y, LUO L, et al. Study on low-velocity impact of embedded and co-cured composite damping panels with numerical simulation method[J]. Composite Structures, 2014,107(1): 1-10.
[18] HUANG C K. Study on co-cured composite panels with blade-shaped stiffeners[J]. Composites Part A: Applied Science and Manufacturing, 2003, 34: 403-410.
[19] 梁森，王辉，张忠胜．嵌入式高温共固化复合材料阻尼结构动力学性能实验研究[J]. 振动与冲击, 2013, 32(20):102-107.
LIANG S, WANG H, ZHANG Z S. Investigation on the dynamicsperformance of the embedded high-temperature co-cured composite damping structures[J]. Journal of Vi-bration and
Shock, 2013,32(20): 102-107 .
[20] 米鹏，梁森，张义霞．嵌入式共固化复合材料阻尼结构低速冲击性能的数值模拟[J]. 振动与冲击，2012,31（14）：98-101.
MI P, LIANG S, ZHANG Y X. Numerical simulation on performance of embedded and co-cured composite damp-ing structure under low velocity impact[J]. Journal of Vi-bration and Shock,2012,31(14)； 98-101.
[21] MI P, LIANG S. A research on loss factor of embedded and co-cured composite damping structure[J]. Advanced Material Research, 2012,487(1): 593-597.
[22] 张忠胜，梁森．嵌入式高温共固化复合材料阻尼结构层间结合性能[J]．复合材料学报, 2013, 30(4): 185-191.
ZHANG Z S, LIANG S. Interlaminar bonding property of embedded high-temperature co-cured composite damp-ing structures[J]. Acta Materiae Compositae Sinica, 2013, 30(4): 185-191.
[23] 张忠胜，梁森．嵌入式中温共固化复合材料阻尼结构制作工艺及层间结合性能[J]. 航空学报, 2012, 33(5): 43-48.
ZHANG Z S, LIANG S. Manufacturing process and inter-laminar bonding property of embedded medium-temperature co-cured composite material damping struc-ture[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(5): 43-48.
[24] Dong-Min Lee, In Lee. Vibration analysis of anisotropic plates with eccentric stiffeners[J]. Computers&Structures, 1995, 57(1): 99-105.
[25] Chen AT, Yang TY. Static and dynamic formulation of a symmetrically laminated beam finite element for a micro-computer[J]. Journal of Composite Materials, 1985, 19: 459–475.
[26] Srinivas S, Rao AK. Bending, Vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int J Solids Struct,1970,6:1463–81.
[27] Di Sciuva M. Bending, vibration and buckling of simply supported thick multilayered orthotropic plates: An evalua-tion of a new displacement model. J Sound Vib,1986,105:425–42.
[28]Chakrabarti A, Sheikh AH. Vibration of laminate-faced sandwich plate by a new refined element. J Aerosp Eng,2004,17:123–34.