舰艇抗冲防护覆盖层水下抗爆机理及实验研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
舰艇的水下爆炸抗冲击性能与它的战斗力、生命力密切有关,具有重要的战略地位。根据当今我国舰艇设计新的发展需求,强化和提高舰艇整体抗冲击水平,达到保护主船体结构和改善设备冲击环境的目的,本文重点开展艇体湿表面抗冲防护覆盖层水下抗爆机理及实验的基础研究。研究成果对不同覆盖层的水下爆炸动响应特性、抗冲击性能和机理认识做出深刻的阐释,为新型结构形式的设计和进一步优化提供方法,同时也为在实船上的应用打下良好的理论基础。论文主要完成了以下几个方面的工作:
     (1)覆盖层压缩行为和力学特性的参数化分析:根据橡胶材料实验数据,选择合适的超弹性本构模型,确定材料模型参数,对不同周期性蜂窝覆盖层(手性、六角凹孔、圆孔)的压缩行为和动力学特性进行细致分析。探讨压缩速度、覆盖层胞元拓扑形式、高度及镂空率对压缩性能的影响。研究覆盖层的变形机制、能量吸收特性及缓冲机理,寻找给定基体材料和重量下承压性能优良的覆盖层结构。
     (2)水下爆炸冲击载荷和覆盖层的相互作用机制:研究冲击载荷下波在不同介质中的传播规律、水下非接触性爆炸下流体和覆盖层之间的流固耦合效应、覆盖层的动态响应过程、冲击波能量的耗散机制。比较相同材料和重量的实芯橡胶与蜂窝覆盖层在抗冲击性能上的差异。从覆盖层胞元拓扑结构、高度、镂空率、面板材料对防护性能的影响,探讨基于阻抗失配、变形吸能原理的覆盖层隔冲、耗能机理。
     (3)分层圆孔蜂窝覆盖层的优化设计:利用流固耦合效应和结构的分段能量吸收特性,将功能梯度材料引入到覆盖层的水下爆炸抗冲击设计中,主要探讨不同压力幅值入射冲击波载荷作用下梯度半径圆孔覆盖层的压缩性能和水下冲击防护效果之间的内在关系。并从频域的角度,分析空爆和水下爆炸下不同覆盖层对板冲击环境的影响。
     (4)潜艇覆盖层在高静水压及冲击作用下变形吸能特性的探讨:为解决覆盖层承压与抗冲之间存在的矛盾,借鉴“高的静刚度、低的动刚度”的思想,对六边形蜂窝覆盖层做进一步改进,即在空腔中放置两薄弯曲钢片,开展覆盖层在高静水压及冲击作用下的变形吸能特性研究。重点讨论钢片厚度和偏距对压缩特性和抗冲击性能的影响。
     (5)抗冲覆盖层的试验研究:针对覆盖层的实际抗冲效果,分别开展不同覆盖层-气背壳板结构的水下抗爆性能对比试验和敷设不同覆盖层圆板结构的水下爆炸响应特性研究。通过比较敷设覆盖层前后的爆炸压力、壁压、加速度及应变时域响应,分析覆盖层的抗爆作用机理及对实际效果进行评估,并与仿真结果做对比。同时,结合耦合面附近空化及射流的形成过程及溃灭的影像资料进一步考察水下冲击波、气泡对柔性覆盖层的作用过程,解释有无柔性覆盖层的抗冲击防护机理。
The fighting capacity and vitality of a warship depend on its underwater explosion shock resistance. In order to meet the developments of modern warship, strengthen the blast resistance technology, protect the hull, and improve the overall shock environment, a research on the shock resistance and experimental study of the coatings on the hull wet surface subjected to underwater explosion was carried out in this paper. The results explain the dynamic characteristics, shock resistance, and mechanism of different coatings subjected to underwater explosion, and give a resolution to new coating and further optimization, and lay a good theoretical foundation for practical application. Main researches completed are as follows:
     (1) Parametric analysis of coatings'compression behavior and mechanical performance:According to rubber test data, an appropriate hyperelastic constitutive model was selected to define the model parameters; The dynamic compressive behavior and characteristic of different periodic coatings, including hexachiral honeycomb, re-entrant honeycomb and circular honeycomb, were analyzed; The effects of compression speed, cellular topology, height, and relative density on compression performance were explored; The mechanisms of deformation, energy absorption, and buffering of the coatings of the same material and weight were studied to find the reasonable structure with the best crush performance.
     (2) The interaction mechanism of underwater blast shock loading and coatings:The wave transmission law through an air bounded system or a water bounded system subjected to shock pressure wave, under non-contact underwater explosion, fluid-structure interaction (FSI) effect, coating's dynamic response, and the dissipation of shock wave energy were studied; The shock resistance between solid rubber and honeycomb coatings of the same weight was compared; The isolation and dissipation mechanisms of shock energy based on the impedance mismatch and deformation and energy absorption were explored from the protective effects of cell topology, height, relative density, and panel materials.
     (3) The optimization design of layered circular gradient coatings:On the background of fluid-structure interaction (FSI) effect and graded energy absorption of functionally graded materials, the intrinsic relationship between compression performance and shock protective effect of layered circular coatings was discussed under different underwater shock wave pressure amplitudes; By comparing the shock response spectrum of metal plates with these coatings under air and underwater explosions, the influence of the coatings on the transient responses can be revealed.
     (4) Performance on the deformation and energy absorption of the coating on submarine's wet surface:In order to solve the existing contradiction between high hydrostatic pressure and shock resistance, a hexagonal honeycomb coating was improved that two steels were placed in the honeycomb, referring to the thought of " high static stiffness and low dynamic stiffness"; The characteristics on deformation and energy absorption of the coating subjected to high hydrostatic pressure and shock were studied; The influences of steel sheet thickness and eccentricity on compression performance and shock resistance were discussed.
     (5) Experimental research:Two kinds of live UNDEX tests were carried out, including the response characteristics of the air-backed structures and circular plates with various coatings; Actual effects of the coatings and simulation results were assessed through the comparison of free field pressure, wall pressure, acceleration, and strain. Combined with the image data about the cavitations near the coupling surface and the jet formation and collapse, the shock resistance mechanism of the coatings were studied, which is very helpful in understanding the process of shock wave and bubble acting on the flexible coatings.
引文
[1]张凤香,李炜,杜俭业.水面舰艇生命力技术的应用进展.舰艇科学技术.2005127(3):5-8.
    [2]库尔.水下爆炸.罗耀杰,韩润泽,官信译.北京:国防工业出版社.1960.
    [3]Nathan A. Schneider, Prediction of surface ship response to severe underwater explosions using a virtual Underwater Shock Environment [Master paper]. NAVAL POSTGRADUATE SCHOOL,2003.
    [4]XXXX型猎扫雷艇水下爆炸冲击试验总结报告.海军装备研究院舰艇所.2009.2.
    [5]GS.B.Roshdy. Advanced ship protection and low signature hull [C]. Navy Industry R&D Partnership Conference. Washington DC, August,2002.
    [6]David J.Sypeck, Haydn Wadley. Cellular metal truss core sandwich structures [J]. Adavanced Engineering Materials.2002,10:759-763.
    [7]肖锋,华宏星,谌勇,朱大巍,马超.设计参数对手性蜂窝橡胶覆盖层水下爆炸抗冲击性能的影响.振动与冲击.201332(1):57-63.
    [8]Haydn Wadley, Kumar Dharmasena, Yungchia Chen, Philip Dudt, David Knight, Robert Charette, Kenneth Kiddy. Compressive response of multilayered pyramidal lattices during underwater shock loading [J]. International Journal of Impact Engineering.2008,35:1102-1114.
    [9]Zhihua Wang, Lin Jing, Jianguo Ning, Longmao Zhao.The structural response of clamped sandwich beams subjected to impact loading [J].Composite Structures.2011,93:1300-1308.
    [10]F.J. Plantema. Sandwich construction [M]. New York:Wiley Ltd,1996.
    [11]J.J. Rimoli, B.Talamini,J.J.Wetzel, K.P. Dharmasena, R. Radovitzky, H.N.G.Wadley.Wet-sand impulse loading of metallic plates and corrugated core sandwich panels [J].International Journal of Impact Engineering.2011,38:837-848.
    [12]F.Tarlochan,S.Ramesh, S.Harpreet. Advanced composite sandwich structure design for energy absorption applications:Blast protection and crashworthiness [J].Composites:Part B.2012,43:2198-2208.
    [13]周红涛.整体中空夹层复合材料低速冲击性能的研究[硕士学位论文].无锡:江南大学,2009.
    [14]吴林志,泮世东.夹芯结构的设计及制备现状.中国材料进展.2009(28):40-45.
    [15]Jian Xiong, Ashkan Vaziri, Li Ma, Jim Papadopoulos, Linzhi Wu. Compression and impact testing of two-layer composite pyramidal-core sandwich panels [J]. Composite Structures.2012,94:793-801.
    [16]L.J.Gibson, M.F.Ashby. Cellular solids:structure and properties (2nded)[M]. Cambridge: Cambridge University Press.1997.
    [17]F.Zhu, GLu. A review of blast and impact of metallic and sandwich structures [J]. EJSE Special Issue:Loading on Structures.2007,92-101.
    [18]V.S.Deshpande, N.A.Fleck.One-dimensional response of sandwich plates to underwater shock loading [J]. Journal of the Mechanics and Physics of Solids.2005,53:2347-2383.
    [19]M.T.Tilbrook, V.S.Deshpande, N.A.Fleck. The impulsive response of sandwich beams: Analytical and numerical investigation of regimes of behavior [J]. Journal of the Mechanics and Physics of Solids.2006,54:2242-2280.
    [20]B.Castaniee, C.Bouvet, Y.Aminanda, J.Barrau, P.Thevenet. Modelling of low-energy/low-velocity impact on Nomex honeycomb sandwich structures with metallic skins [J]. International Journal of Impact Engineering.2008,35:620-634.
    [21]R.M.McMeeking, A.V.Spuskanyuk, M.Y.He, V.S.Deshpande, N.A.Fleck, A.GEvans. An analytic model for the response to water blast of unsupported metallic sandwich panels [J]. International Journal of Solids and Structures.2008,45:478-496.
    [22]E.W.Andrews, N.A.Moussa. Failure mode maps for composite sandwich panels subjected to air blast loading [J]. International Journal of Impact Engineering.2009,36:418-425.
    [23]Feng Zhu, Zhihua Wang, Guoxing Lu, Longmao Zhao. Analytical investigation and optimal design of sandwich panels subjected to shock loading [J]. Materials and Design.2009,30:91-100.
    [24]Q.H.Qin, T.J.Wang. An analytical solution for the large deflections of a slender sandwich beam with a metallic foam core under transverse loading by a flat punch [J]. Composite Structures.2009,88:509-518.
    [25]Feng Zhu, Zhihua Wang, Guoxing Lu, Gerald Nurick. Some theoretical considerations on the dynamic response of sandwich structures under impulsive loading [J]. International Journal of Impact Engineering.2010,37:625-637.
    [26]T.Yi, C.Q.Chen. The impact response of clamped sandwich beams with ordinary and hierarchical cellular cores [J]. International Journal of Impact Engineering.2012,47:14-23.
    [27]Renfu Li, A.George. Kardomateas, George J.Simitses. Point-wise impulse (blast) response of a composite sandwich plate including core compressibility effects [J]. International Journal of Solids and Structures.2009,46:2216-2223.
    [28]Joseph A.Main, George A.Gazonas. Uniaxial crushing of sandwich plates under air blast: Influence of mass distribution [J]. International Journal of Solids and Structures.2008,45:2297-2321.
    [29]Hua Liu, Wuchao Chen, Jialing Yang. Elastic-plastic dynamic response of fully backed sandwich plates under localized impulsive loading [J]. Acta Mechanica Solida Sinica.2010,23:324-335.
    [30]Xuhong Zhang. Dynamic response of a clamped square sandwich plate with honeycomb core subjected to blast loading [J]. Journal of Mechanical Strength.2010,32:404-409.
    [31]谌勇,张志谊,华宏星.三维格架芯层夹芯板爆炸载荷时的响应分析.振动与冲击.200726(10):23-26.
    [32]V.L.Tagarielli, V.S.Deshpande, N.A.Fleck. The dynamic response of composite sandwich beams to transverse impact [J]. International Journal of Solids and Structures.2007,44:2442-2457.
    [33]张旭红,王志华,赵隆茂.爆炸载荷作用下铝蜂窝夹芯板的动力响应.爆炸与冲击.200929(4):356-360.
    [34]M.D.Theobald, G.S.Langdon, GN.Nurick, S.Pillay, A.Heyns, R.P.Merrett. Large inelastic response of unbonded metallic foam and honeycomb core sandwich panels to blast loading [J]. Composite Structures.2010,92:2465-2475.
    [35]Brenda L.Buitrago, Carlos Santiuste, Sonia Sanchez-Saez, Enrique Barbero, Carlos Navarro. Modelling of composite sandwich structures with honeycomb core subjected to high-velocity impact [J]. Composite Structures.2010,92:2090-2096.
    [36]D.D.Radford, GJ.McShane, V.S.Deshpande, N.A.Fleck. The response of clamped sandwich plates with metallic foam cores to simulated blast loading [J]. International Journal of Solids and Structures.2006,43:2243-2259.
    [37]M.Klaus, H.G. Reimerdes, N.K.Gupta. Experimental and numerical investigations of residual strength after impact of sandwich panels [J]. International Journal of Impact Engineering.2012,44:50-58.
    [38]Craig A.Steeves, Norman A.Fleck. Collapse mechanisms of sandwich beams with composite faces and a foam core, loaded in three-point bending. Part I:analytical models and minimum weight design [J]. International Journal of Mechanical Sciences.2004,46:561-583.
    [39]Y.Aminanda, B.Castanie, J.Barrau, P.Thevenet. Experimental and numerical study of compression after impact of sandwich structures with metallic skins [J]. Composites Science and Technology.2009,69:50-59.
    [40]周光明,朱波.整体中空夹层复合材料低速冲击损伤及剩余强度实验研究.材料工程/2009增刊2:289-293.
    [41]GS.Langdon, C.J.Von Klemperer, B.K.Rowland, GN.Nurick. The response of sandwich structures with composite face sheets and polymer foam cores to air-blast loading:Preliminary experiments [J]. Engineering Structures.2012,36:104-112.
    [42]T.Rabczuk, J.Y. Kim, E.Samaniego, T.Belytschko. Homogenization of sandwich structures [J]. International Journal for Numerical Methods in Engineering.2004,61:1009-1027.
    [43]Z.Wei, K.P.Dharmasena, H.N.G Wadley, A.GEvans. Analysis and interpretation of a test for characterizing the response of sandwich panels to water blast [J]. International Journal of Impact Engineering.2007,34:1602-1618.
    [44]Yong Chen, Zhiyi Zhang, Yu Wang, Hongxing Hua, Houyu Gou. Attenuating performance of a polymer layer coated onto floating structures subjected to water blasts [J]. European Journal of Mechanics A/Solids.2009,28:591-598.
    [45]G.J.McShane,V.S.Deshpande,N.A.Fleck.Underwater blast response of free-standing sandwich plates with metallic lattice cores [J]. International Journal of Impact Engineering (2010),doi:10.1016/j.ijimpeng.2010.05.004.
    [46]谌勇,张志谊,华宏星,汪玉.弹性泡沫夹芯结构的水下爆炸响应分析.振动与冲击.2009f28):25-29.
    [47]M.T.Tilbrook, V.S.Deshpande, N.A.Fleck. Underwater blast loading of sandwich beams: Regimes of behavior [J]. International Journal of Solids and Structures.2009,46:3209-3221.
    [48]N.Baral, D.D.R.Cartie, I.K.Partridge, C.Baley, P.Davies. Improved impact performance of marine sandwich panels using through-thickness reinforcement:Experimental results [J]. Composites. Part B.2010,41:117-123.
    [49]徐小刚,黄海,贾光辉.蜂窝夹芯板超高速碰撞仿真.北京航空航天大学学报.200733f1):18-21.
    [50]Levent Aktay, Alastair F.Johnson, Bernd H. Kroplin. Numerical modelling of honeycomb core crush behaviour [J]. Engineering Fracture Mechanics.2008,75:2616-2630.
    [51]J.Y.Richard Liew, K.M.A.Sohel, C.GKoh. Impact tests on steel-concrete-steel sandwich beams with lightweight concrete core [J]. Engineering Structures.2009,31:2045-2059.
    [52]S.Heimbs, J.Cichosz, M.Klaus, S.Kilchert, A.F.Johnson. Sandwich structures with textile-reinforced composite foldcores under impact loads [J]. Composite Structures.2010,92:1485-1497.
    [53]D.D.Radford, N.A.Fleck, V.S.Deshpande. The response of clamped sandwich beams subjected to shock loading [J]. International Journal of Impact Engineering.2006,32:968-987.
    [54]赵桂平,卢天健.多孔金属夹层板在冲击载荷作用下的动态响应.力学学报.200840(2):194-206.
    [55]张健,尹群.水下爆炸载荷下圆管夹心板的抗冲击性能研究.噪声与振动控制.2007f3):20-23.
    [56]王自力,张延昌,顾金兰.基于夹层板抗水下爆炸舰艇底部结构设计.舰艇科学技术.2010f32):22-27.
    [57]H.J.Rathbun, D.D.Radford, Z.M.Y.He, J.Yang, V.Deshpande, N.A.Fleck, J.W. Hutchinson, F.W.Zok, A.GEvans. Performance of metallic honeycomb-core sandwich beams under shock loading [J]. International Journal of Solids and Structures.2006,43:1746-1763.
    [58]Erheng Wang, Nate Gardner, Arun Shukla. The blast resistance of sandwich composites with stepwise graded cores [J]. International Journal of Solids and Structures.2009,46:3492-3502.
    [59]Y.Yang, A.S.Fallah, M. Saunders, L.A.Louca. On the dynamic response of sandwich panels with different core set-ups subject to global and local blast loads [J]. Engineering Structures.2011, 33:2781-2793.
    [60]Xinrang Liu, Xiaogeng Tian, Tianjian Lu, Daqing Zhou, Bin Liang. Blast resistance of sandwich-walled hollow cylinders with graded metallic foam cores [J]. Composite Structures.2012,94:2485-2493.
    [61]C.J.Yungwirth, D.D. Radford, Mark Aronson, H.N.G. Wadley. Experiment assessment of the ballistic response of composite pyramidal lattice truss structures [J]. Composites:Part B.2008,39:556-569.
    [62]田培培,赵桂平,卢天健.具有填充材料的金属格栅夹层板在高速冲击下动态响应的数值分析.应用力学学报.200926(4):788-792.
    [63]Feng Zhu, Longmao Zhao, Guoxing Lu, Zhihua Wang. Deformation and failure of blast-loaded metallic sandwich panels-experimental investigations [J]. International Journal of Impact Engineering.2008,35:937-951.
    [64]Y. Chi, G.S.Langdon, G.N. Nurick. The influence of core height and face plate thickness on the response of honeycomb sandwich panels subjected to blast loading [J]. Materials and Design.2010,31:1887-1899.
    [65]杨永祥,张延昌.蜂窝式夹芯层结构横向耐撞性能数值仿真研究.江苏科技大学学报.200721(4):7-11.
    [66]Dongmei Wang. Impact behavior and energy absorption of paper honeycomb sandwich panels [J]. International Journal of Impact Engineering.2009,36:110-114.
    [67]J.H.Park, S.K.Ha, K.W. Kang, C.W.Kim, H.S.Kim. Impact damage resistance of sandwich structure subjected to low velocity impact [J]. Journal of Material Processing Technology.2008,20:425-430.
    [68]Kwang Bok Shin, Jae Youl Lee, Se Hyun Cho. An experimental study of low-velocity impact responses of sandwich panels for korean low floor bus [J].Composite Structures.2008,(84):228-240.
    [69]V.L.Tagarielli, V.S.Deshpande, N.A.Fleck. Prediction of the dynamic response of composite sandwich beams under shock loading [J]. International Journal of Impact Engineering.2010,37:854-864.
    [70]康建功,石少卿,刘颖芳,汪敏.两端固支泡沫铝夹芯梁在冲击荷载作用下的动力响应.振动与冲击.201029(4):130-134.
    [71]D. Karagiozova, GN.Nurick,GS. Langdon. Behaviour of sandwich panels subject to intense air blasts-Part2:Numerical simulation [J]. Composite Structures.2009,91:442-450.
    [72]D.D.Radford, GJ.McShane, V.S.Deshpande, N.A.Fleck. The response of clamped sandwich plates with metallic foam cores to simulated blast loading [J]. International Journal of Solids and Structures.2006,43:2243-2259.
    [73]Jianhu Shen, Guoxing Lu, Zhihua Wang, Longmao Zhao. Experiments on curved sandwich panels under blast loading [J]. International Journal of Impact Engineering.2010,37:960-970.
    [74]张明华,赵恒义,谌河水.泡沫铝夹芯板动态抗侵彻性能的实验研究.力学季刊.200829f2):241-247.
    [75]Terry Hause, Liviu Librescu. Dynamic response of anisotropic sandwich flat panels to explosive pressure pulses [J]. International Journal of Impact Engineering.2005,20:607-628.
    [76]王宇新,顾元宪,孙明.冲击载荷作用下多孔材料复合结构防爆理论计算.兵工学报.200627f2):375-379.
    [77]王铁军,秦庆华.爆炸载荷作用下超轻金属夹芯梁的大挠度动力响应分析.2009年度海峡两岸工程力学研讨会论文集.2009.
    [78]K.MAG KINEN. The transverse response of sandwich panels to an underwater shock wave [J]. Journal of Fluids and Structures.1999,13:631-646.
    [79]Chochung Liang, Mingfang Yang, Pinwen Wu. Optimum design of metallic corrugated core sandwich panels subjected to blast loads [J]. Ocean Engineering.2001,28:825-861.
    [80]Zhenyu Xue, John W. Hutchinson. Preliminary assessment of sandwich plates subject to blast loads [J]. International Journal of Mechanical Sciences.2003,45:687-705.
    [81]Zhenyu Xue, John W. Hutchinson. A comparative study of impulse-resistant metal sandwich plates [J]. International Journal of Impact Engineering.2004,30:1283-1305.
    [82]周石磊,陆伟东,刘伟庆,刘学晨.含耗能层防护门爆炸荷载下动力有限元分析研究.第一届全国工程安全与防护学术会议.2008.
    [83]康建功,石少卿,刘颖芳,汪敏.泡沫铝夹芯梁抗爆性能的数值模拟分析.爆破.200926(3):10-13.
    [84]Feng Zhu, Longmao Zhao, Guoxing Lu, Emad Gad. A numerical simulation of the blast impact of square metallic sandwich panels [J]. International Journal of Impact Engineering.2009,36:687-699.
    [85]张旭红,王志华,赵隆茂.爆炸载荷作用下铝蜂窝夹芯板动力响应研究.应用力学学报.200926f2):259-263.
    [86]王自力,张延昌,顾金兰.水下爆炸冲击载荷下激光焊接夹层板动态响应分析.第四届全国船舶与海洋工程学术会议论文,2009.
    [87]康建功,石少卿,刘颖芳,汪敏.碳纤维增强泡沫铝夹芯梁抗爆性能研究.第九届全国冲击动力学学术会议论文集.2009.
    [88]K.P.Dharmasena,D.T.Queheillalt, H.N.GWadley. Dynamic compression of metallic sandwich structures during planar impulsive loading in water [J]. European Journal of Mechanics A/Solids.2010,29:56-67.
    [89]廖祖伟,刘情杰,田志敏.钢板-泡沫材料复合夹层板抗爆性能试验研究.地下空间与工程学 报.2005(1):401-404.
    [90]Yongxiang Dong, Shunshan Feng, Jun Jin. Analysis on dynamic response of hard-soft-hard sandwich panel under blast loading [J]. Transactions of Tianjin University.2006,12:223-237.
    [91]Feng Zhu,Longmao Zhao,Guoxing Lu, Zhihua Wang. Deformation and failure of blast-loaded metallic sandwich panels-experimental investigations [J]. International Journal of Impact Engineering.2008,35:937-951.
    [92]K.P.Dharmasena, H.N.GWadley, Zhenyu Xue, John W.Hutchinson. Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading [J]. International Journal of Impact Engineering.2008,(35):1063-1074.
    [93]Yong Chen, ZongpengTong, Hongxin Hua, Houyu Gou. Experimental investigation on the dynamic response of scaled ship model with rubber sandwich coatings subjected to underwater explosion [J]. International Journal of Impact Engineering.2009,36:318-328.
    [94]GN.Nurick, G.S.Langdon, Y.Chi. Behavior of sandwich panels subjected to intense air blast-Part1:Experiments [J]. Composite Structures.2009,91:433-441.
    [95]胡玲玲,陈依骊.三角形蜂窝在面内冲击荷载下的力学性能.振动与冲击.201130f5):226-230.
    [96]张新春,刘颖,章梓茂.组合蜂窝材料面内冲击性能的研究.工程力学.200926(6):220-225
    [97]甄妮,闫志忠,汪越胜.蜂窝材料的弹性波传播特性.力学学报.200840(6)769-774.
    [98]卢文浩,鲍荣浩.动态冲击下蜂窝材料的力学行为.振动与冲击.200524(1):49-53.
    [99]胡玲玲,余同希.惯性效应对蜂窝能量吸收性能的影响.兵工学报.200930(2):24-27.
    [100]王博,张雄,徐胜利.2D周期蜂窝结构面内静动态压缩力学行为研究.力学学报.200941f2):274-281.
    [101]A.J.Wang, D.L.McDowell. In-plane stiffness and yield strength of periodic metal honeycombs [J]. Journal of Engineering Materials and Technology.2004,126(2):137-156.
    [102]H.X.Zhu, N.J.Mills. The in-plane non-linear compression of regular honeycombs [J]. International Journal of Solids and Structures.2000,37:1931-1949.
    [103]D.Ruan, Lu G, Wang B,Yu T X. In-plane dynamic crushing of honeycombs-A finite element study [J]. International Journal of Impact Engineering.2003,28(2):161-182.
    [104]J.W.Klintworth, W.J.Stronge. Elasto-plastic yield limits and deformation laws for transversely crushed honeycombs [J]. International Journal of Mechanical Sciences.1988,30(3):273-292.
    [105]Z.J.Zheng, J.L.Yu, J.R.Li. Dynamic crushing of2D cellular structures:A finite element study [J].International Journal of Impact Engineering.2005,32(1-4):650-664.
    [106]Z.Zou, S.R.Reid, P.J.Tan, S.Li, J.J.Harrigan. Dynamic crushing of honeycombs and features of shock fronts [J]. International Journal of Impact Engineering.2009,36(1):165-176.
    [107]P.J.Tan, S.R.Reid, J.J.Harrigan, Z.Zou, S.Li. Dynamic compressive strength properties of aluminium foams:part I-Experimental data and observations [J]. Journal of the Mechanics and Physics of Solids,2005,53:2174-2205.
    [108]P.J.Tan, S.R.Reid, J.J. Harrigan, Z.Zou, S.Li. Dynamic compressive strength properties of aluminium foams:Part II-Shock Theory and comparison with experimental data and numerical models [J]. Journal of the Mechanics and Physics of Solids,2005,53:2206-2230.
    [109]A.Honig,W.J.Stronge. In-plane dynamic crushing of honeycomb. Part I:Crush band initiation and wave trapping [J]. International Journal of Mechanical Sciences.2002,44(8):1665-1696.
    [110]张少实,庄茁.复合材料与粘弹性力学.北京:机械工业出版社.2011.
    [111]庄茁,由小川,廖剑晖.基于ABAQUS的有限元分析和应用.北京:清华大学出版社.2009.
    [112]谌勇.超弹夹芯覆盖层的水下抗爆机理及实验研究[博士后学位论文].上海:上海交通大学.2008.
    [113]谌勇,华宏星,汪玉,勾厚渝.超弹性夹芯覆盖层的水下爆炸防护性能.爆炸与冲击.200929(4):395-400.
    [114]汪玉,华宏星,谌勇,杜俭业,杜志鹏.舰艇抗冲覆盖层整体冲击隔离新概念及其机理研究.科技导报.200927(3):19-24.
    [115]王礼立.应力波基础.北京:国防工业出版社.1985.
    [116]胡时胜,王悟,潘艺.泡沫材料的应变率效应.爆炸与冲击.200323:13-18.
    [117]姚熊亮,张阿漫,许维军.声固耦合方法在舰艇水下爆炸中的应用.哈尔滨工程大学学报,200526f6):707-712.
    [118]高建华,陆林,何洋扬.浅水中爆炸及其破坏效应.北京:国防工业出版社.2010.
    [119]姚熊亮,徐小刚,张凤香.流场网格划分对水下爆炸结构响应的影响.200324(3):237-244.
    [120]安丰江,吴成,王宁飞.水下爆炸能量耗散特性分析研究北京理工大学学报.201131(4):379-382.
    [121]李海涛,朱锡,黄晓明,牟金磊.水下爆炸冲击波作用下空化区域形成的特性研究.高压物理学报.200822(2):181-186.
    [122]D.S.Leonard. Fluid-Interaction and cavitation effects on a surface ship model due to an underwater explosion [R].California:Naval Postgraduate School.1997.
    [123]马涛,赵忠民,刘良祥,高超,黄雪刚.功能梯度材料的研究进展及应用前景.化工科技.201220f1):71-75.
    [124]刘颖,何章权,吴鹤翔,张新春.分层递变梯度蜂窝材料的面内冲击性能.爆炸与冲击.201131(3):225-231.
    [125]何章权.梯度蜂窝材料面内冲击性能的研究[硕士学位论文].北京:北京交通大学.2009.
    [126]张新春,刘颖.密度梯度蜂窝材料动力学性能研究.工程力学.201229(8):372-377.
    [127]刘耀东,虞吉林,郑志军.惯性对多孔金属材料动态力学行为的影响.高压物理学报,200822f2):118-124.
    [128]Jaeung Chung, Anthony M.Waas. Compressive response of circular cell polycarbonate honeycombs under in-plane biaxial static and dynamic loading-Part II:simulations [J]. International Journal of Impact Engineering.2002,27:1015-1047.
    [129]Jaeung Chung, Anthony M.Waas. Compressive response of circular cell polycarbonate honeycombs under in-plane biaxial static and dynamic loading. Part I:experiments [J]. International Journal of Impact Engineering.2002,27:729-754.
    [130]Li.y, Ramesh.K.T. Dynamic characterization of layered and graded structures under impulsive loading [J]. International Journal of Solids and Structures.2001,38(34-35):6045-6061.
    [131]N.A.Apetre, B.V.Sankar, D.R.Ambur. Low-velocity impact response of sandwich beams with functionally graded core [J]. International Journal of Solids and Structures.2006,43(9):2479-2496.
    [132]Erheng Wang, Nate Gardner, Arun Shukla. The blast resistance of sandwich composites with stepwise graded cores [J]. International Journal of Solids and Structures.2009,46:3492-3502.
    [133]E. Etemadi, A.A.Khatibi, M.Takaffoli.3D Finite element simulation of sandwich panels with a functionally graded core subjected to low velocity impact [J]. Composite Structures.2009,89(1):28-34.
    [134]K.Chittineni, E.Woldesenbet. Characterization of integrated functionally gradient syntactic foams [J]. Journal of Engineering Materials and Technology.2010,132(1):p.011005-1-011005-7
    [135]C.Liang, S.Kiernan,M.D.Gilchrist. Designing the energy absorption capacity of functionally graded foam materials [J]. Materials Science and Engineering:A.2009,507(1/2):215-225.
    [136]ABAQUS User's Manual, Version6.9. Karlsson and Sorensen Inc.:Hibbit,2010.
    [137]许茂,冯加权.负刚度结构的刚度分析.科学技术与工程.201010(19):4611-4613.
    [138]彭献,陈树年,宋福磐.负刚度的工作原理及应用初探.湖南大学学报199219(4):89-94.
    [139]纪晗,熊世树,袁涌,付杰.基于负刚度原理的结构隔振效果理论分析.振动与冲击.201029f3):91-94.
    [140]张建卓,董申,李旦.基于正负刚度并联的新型隔振系统研究.纳米技术与精密工程.20042f4):314-318.
    [141]张建卓,李旦,董申,陈明君.欧拉压杆在超低频垂直隔振系统中的应用研究.机械强度.200426(3):237-241.
    [142]Alessandro Carrella. Passive vibration isolator with high-static-low-dynamic-stiffness [Thesis for the degree of Doctor of Philosophy]. April,2008.
    [143]A.Carrella, M.J.Brennan, T.P.Waters, K.Shin. On the design of a high-static-low-dynamic-stiffness isolator using linear mechanical springs and magnets [J]. Journal of Sound and Vibration. 2008,315:712-720.
    [144]S.T.Park, L.T.Tung. Techniques for optimizing parameters of negative stiffness [J]. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science.2007,221(5):505-511.
    [145]汪玉.实船水下爆炸冲击试验及防护技术.北京:国防工业出版社.2010.
    [146]姚熊亮,钱德进,刘庆杰.敷设声学覆盖层的双层壳抗冲性能研究.哈尔滨工程大学学报.200728(8):841-846.
    [147]姚熊亮,许维军.水下爆炸时舰艇冲击环境与冲击因子的关系.哈尔滨工程大学学报.200425f1):6-12.
    [148]姚熊亮,于秀波,庞福振,刘庆杰.敷设声学覆盖层的板架结构抗冲击性能数值计算研究.工程力学.200724(11):164-171.
    [149]付攀,鲁红,晁爱民.水下爆炸冲击波作用下加筋板结构动态响应研究.江苏船舶.200926(1):4-7.
    [150]朱锡,朱凌,殷沐德,黄骏德.爆炸载荷作用下固支方板塑性变形的实验研究.海军工程学院学报.1985(2):61-65.
    [151]牟金磊,朱锡,黄晓明,李海涛.水下爆炸气泡载荷在加筋板塑性变形中的作用.振动与冲击.201029(5):74-77.
    [152]张阿漫,姚熊亮.近壁面气泡的运动规律研究.物理学报.200857(3):1662-1671.
    [153]张阿漫,姚熊亮.水深和药量的变化对水下爆炸气泡射流的影响研究.工程力学.2007,25f3):222-229.
    [156]谌勇,唐平,汪玉,杨世全.刚塑性圆板受水下爆炸载荷时的动力响应.爆炸与冲击.200525f1):8-44.
    [157]Kong Fah Tee,Alessandro Spadoni, Fabrizio Scarpa,Massimo Ruzzene. Vibroacoustics and wave propagation of novel chiral honeycombs [J]. Active and Passive Smart Structures and Integrated Systems, Proc. of SPIE Vol.6928,69280J,(2008) doi:10.1117/12.776075.
    [158]C.Chien. Computational studies of pleurae coated steel plate under loads [C].9th US National Congress on Computational Mechanics, San Francisco, CA, July2007.
    [159]C.F.Hung, R.Y.Hsu, J.J.Hwang-Fuu. Elastic shock response of an air-backed plate to underwater explosion [J].International Journal of Impact Engineering.2005,31:151-168.
    [160]Thomas Geers, K.S.Hunter. An integrated wave-effects model for an underwater explosion bubble [J]. Journal of the Acoustical Society of America.2002,111(4):1584-1601.