Abstract：A multi-layered equivalent finite element (FE) modeling method for honeycomb material was proposed to fast and accurately analyze honeycomb plates’mechanical properties.The calculated results of modal analysis,static analysis,and shock spectral analysis based on this model were compared with those using the current frequently-used FE modeling method.It was shown that the results using the multi-layered equivalent FE model agree better with performances of the original honeycomb plates; the proposed method can significantly improve calculation efficiency; based on the multi-layered equivalent FE model,complex parameters and target are quantified,and the function relation between honeycomb cell size and the first five order modal frequencies is established to provide a basis for structural optimization design.
徐洋 王皓辉 盛晓伟. 基于Hyperworks的六边形蜂窝板铺层等效建模方法研究[J]. 振动与冲击, 2018, 37(23): 45-51.
XU Yang WANG Haohui SHENG Xiaowei . Multi-layered equivalent FE modeling method for hexagonal honeycomb plates based on Hyperworks. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(23): 45-51.
[1] A.Boudjemai，R.Amri. Modal analysis and testing
of hexagonal honeycomb plates used for statellite structural design[J].Materials and Design，2012，35：266-275.
[2] 董彦鹏，吕振华. 基于蜂窝材料结构相似有限元模型的夹层结构抗爆炸冲击特性优化设计分析[J].工程力学，2013，30（7）：248-254.
DONG Yan-peng, LU Zhen-hua. Analysis and optimization of blast-resistant sandwich structure utilizing structural similar FE modal of honeycomb material[J]. Engineering mechanics, 2013, 30（7）: 248-254.
[3] 蔡园武，徐亮. 正六角形单胞周期性蜂窝板等效刚度研究[J].大连理工大学学报，2014，54（4）：377-383.
CAI Yuan-wu, XU Liang. Study of effective stiffness of periodic honeycomb plate with regular hexagonal unit cell[J]. Journal of Dalian University of Technology, 2014, 54(4): 377-383.
[4] Allen HG. Analysis and Design of Structural Sandwich Panels[D]. Oxforda：Pergamon Press，1969.
[5] Ha KH. Finite Element Analysis of Sandwich Construction[J]：A Critical Review，Sandwich Constructions，1991，69-85.
[6] 崔光育. 蜂窝夹层壳非线性静动力分析[D]. 清华大学博士学位论文，1995.
Cui Guangyu. A non-linear static-dynamic analyzing to cellular sandwich shells[D]. A thesis for the doctorate of Tsinghua University，1995.
[7] Gibson LJ，Ashby MF，Schajer GS. The mechanics two-dimension cellular materials[J]. Royal Society，1982，382：25-42.
[8] Gibson LJ，Ashby MF. Cellular Solid，Structure and Properties[J]. Oxford：Pergamon Press，1998.
[9] Xia Li-juan，Jin Xian-ding. The Equivalent Analysis of Honeycomb Sandwitch Plates Statellite Structure[J].Journal of Shanghai Jiao Tong University，2003，37（7）：999-1001.
[10] He Meifeng，Hu Wenbin. A Study on Composite Honeycomb Sandwich Panel Structure[J].Materials and Design，2008，29（3）：709-713.
[11] A.Boudjemai、MH.Bouanane. Structural Modelling and small statellite optimization. Second international congress design and modelling of mechanical systems，CMSM07. Proceeding，Monastir Tunisia：12-21 march 2007.
[12] Xu Sheng-jin，Kong Xian-ren. Method of Equivalent Analysis for Statistics and Dynamics Behavior of Orthotropic Honeycomb Sandwich Plates[J]. Acta Mater Compos Sin 2000，17（3）：92-95.
[13] A.Anisetti. A Non-linear Shunting of Piezo-actuators for Vibration Suppression. Mastems thesis，2007.
[14] J.Mackerle. Finite Element Analysis of Sandwich Structures[J].medical & biological engineering & computing，2002，19（2）.
[15] N.Buannic，P.Cartraud. Homogenization of Corrugated Core Sandwich Panels[J]. composite structures，2003，59：299-312.
[16] PR.Onck，EW.Andrews. Size Effects in Ductile Cellular Solids.PartI：Modelling[J]. International Journal of Mechanical Sciences，2001，43：681-699.
[17]Wang G，Dong Z，P.Aitchison. Adaptive response surface method—A global optimization scheme for computation-intensive design problems [J].Engineering Optimization，2001，33(6): 707―734.
[18] G.Randers-Pehrson，K.Bannister. Airblast loading model for DYNA2D and DYNA3D[R].Maryland：US Army Research Laboratory，1997.
[19] K.Dharmasena，H.Wadley. Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading[J].International Journal of Impact Engineering, 2008,35: 1063―1074.
[20] Zhu F，Zhao L，Lu G. Deformation and failure of blast-loaded metallic sandwich panels—experimental investigations[J].International Journal of Impact Engineering，2008，35：937―951.
[21] 关自强. 卫星结构中铝蜂窝夹层板力学性能研究[D]. 吉林大学，2017.
Guan Zi-qiang. Research on Mechanical Property of Aluminium Honeycomb Sandwich Structure for Satellite [D]. Jilin University，2017.
[22] 刘叶花，谢桂兰. 铝蜂窝胞元结构参数对其宏观等效表征性能的影响[J]. 材料工程，2011（11）：29-34.
LIU Ye-hua，XIE Gui-lan. Effects of aluminum honeycomb cell structural parameters on its macro-equivalent characteristic properties[J]. Journal of Materials Engineering.，2011（11）：29-34.
[23] 赵辉，宋扬. 胞元参数对铝蜂窝吸能特性的影响[J]. 机械设计，2016，33（9）：15-20.
ZHAO Hui，SONG Yang. Influence of cell parameters on aluminum honeycomb ’s energy absorption characteristics. Journal of Machine Design，2016，33（9）：15-20.
[24] 梁森，陈花玲. 蜂窝夹心胞元壳的屈曲特性研究[J]. 机械工程学报，2004,40（12）：90-95.
LIANG Seng，CHENG Hua-ling. Study on buckling characteristics of honeycomb sandwich cell[J]. Chinese Journal of Mechanical Engineering，2004,40（12）：90-95.
