全封闭舱内爆炸载荷作用下薄板变形研究
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摘要
在内爆炸载荷作用下,舱室内部长时程准静态压力载荷会对结构极限变形产生重要影响,使得其结构响应与敞开环境空爆下的情况有较大区别。计算分析了方形薄板在内爆炸载荷作用下动态响应,基于薄板在冲击载荷作用下的变形规律,提出了用于评估结构在内爆炸载荷作用下极限变形的无量纲损伤数。该无量纲损伤数考虑了舱室体积、炸药能量、结构几何尺寸及屈服强度等因素对内爆炸载荷作用下结构变形响应特性的影响。薄板变形的分析结果表明,结构极限变形与板厚比和无量纲损伤数之间存在明显线性关系,可通过拟合获得舱内爆炸载荷作用下结构极限变形的快速预报经验公式。提出的无量纲损伤数考虑了板大变形响应过程中的中面膜力效应和板厚影响,更加适合于分析薄板在内爆炸载荷作用下的塑性大挠度变形值。
In confined explosion,the quasi-static pressure in the enclosed space exists for a long time,and has an important effect on the ultimate deformation of structures so that the dynamic response of structures under confined blast loading is quite different from that under free air blast loading. The dynamic response of square plates under confined blast loading is analyzed. Based on the deformation regularity of thin plates under impact load,a new dimensionless damage number with clear physical meaning is proposed for the deformation prediction of structures under confined blast loading. The influences of the volume of enclosed space,explosive energy,structural dimensions,and strength of material on the deformation response of structure are considered for the dimensionless damage number. The analysis result shows that there is a clear linear relation between the mid-point deflection-thickness ratio and the new dimensionless damage number. An empirical expression with good correlation is presented for deformation prediction of structures under confined blast loading. The influences of membrane force and plate thickness on the structural response are considered in the new dimensionless damage number,which makes it have a wider application with regard to deformation prediction of plates subjected to confined blast load-ing,especially when the plate experiences large deflection.
In confined explosion,the quasi-static pressure in the enclosed space exists for a long time,and has an important effect on the ultimate deformation of structures so that the dynamic response of structures under confined blast loading is quite different from that under free air blast loading. The dynamic response of square plates under confined blast loading is analyzed. Based on the deformation regularity of thin plates under impact load,a new dimensionless damage number with clear physical meaning is proposed for the deformation prediction of structures under confined blast loading. The influences of the volume of enclosed space,explosive energy,structural dimensions,and strength of material on the deformation response of structure are considered for the dimensionless damage number. The analysis result shows that there is a clear linear relation between the mid-point deflection-thickness ratio and the new dimensionless damage number. An empirical expression with good correlation is presented for deformation prediction of structures under confined blast loading. The influences of membrane force and plate thickness on the structural response are considered in the new dimensionless damage number,which makes it have a wider application with regard to deformation prediction of plates subjected to confined blast load-ing,especially when the plate experiences large deflection.
引文
[1]Dong Q,Li Q M,Zheng J Y.Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels[J].International Journal of Impact Engineering,2010,37(4):349-358.
[2]Duffey T A,Romero C.Strain growth in spherical explosive chambers subjected to internal blast loading[J].International Journal of Impact Engineering,2003,28(9):967-983.
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[10]孔祥韶,徐维铮,郑成,等.多层防护结构舱内爆炸试验[J].船舶力学,2017,21(1):76-89.KONG Xiang-shao,XU Wei-zheng,ZHENG Cheng,et al.Experiment of a multi-layer protective structure under an inner explosion[J].Journal of Ship Mechanics,2017,21(1):76-89.(in Chinese)
[11]姚术健,张舵,卢芳云,等.多箱室结构内部爆炸损伤特性研究[J].兵工学报,2015,36(增刊1):87-91.YAO Shu-jian,ZHANG Duo,LU Fang-yun,et al.Reasearch on the damage characteristics of multi-chamber structure subjected to internal blast[J].Acta Armamentarii,2015,36(S1):87-91.(in Chinese)
[12]Langdon G S,Ozinsky A,Chung K Y S.The response of partially confined right circular stainless steel cylinders to internal airblast loading[J].International Journal of Impact Engineering,2014,73:1-14.
[13]Geretto C,Chung K Y S,Nurick G N.An experimental study of the effects of degrees of confinement on the response of square mild steel plates subjected to blast loading[J].International Journal of Impact Engineering,2015,79:32-44.
[14]Zheng C,Kong X S,Wu W G,et al.Experimental and numerical studies on the dynamic response of steel plates subjected to confined blast loading[J].International Journal of Impact Engineering,2018,113:144-160.
[15]Johnson W.Impact strength of materials[M].London,UK:Edward Arnold,1972.
[16]Jones N.A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections[J].International Journal of Solids and Structures,1971,7(8):1007-1029.
[17]Jones N.Structural impact[M].Cambridge,UK:Cambridge University Press,1989.
[18]Zhao Y P.Suggestion of a new dimensionless number for dynamic plastic response of beams and plates[J].Archive of Applied Mechanics,1998,68(7):524-538.
[19]Nurick G N,Martin J B.Deformation of thin plates subjected to impulsive loading—a review,part II:experimental studies[J].International Journal of Impact Engineering,1989,8(2):171-186.
[20]Jacob N,Nurick G N,Langdon G S.The effect of stand-off distance on the failure of fully clamped circular mild steel plates subjected to blast loads[J].Engineering Structures,2007,29(10):2723-2736.
[21]Geretto C.The effects of different degrees of confinement on the deformation of square plates subjected to blast loading[D].Cape Town,South Africa:University of Cape Town,2012.
[22]Bonorchis D,Nurick G N.The influence of boundary conditions on the loading of rectangular plates subjected to localised blast loading—importance in numerical simulations[J].International Journal of Impact Engineering,2009,36(1):40-52.
[23]Feldgun V R,Karinski Y S,Edri I,et al.Prediction of the quasi-static pressure in confined and partially confined explosions and its application to blast response simulation of flexible structures[J].International Journal of Impact Engineering,2016,90:46-60.
[24]Zhao Y P.Saturated duration of rectangular pressure pulse applied to rectangular plates with finite-deflections[J].Mechanics Research Communications,1997,24(6):659-666.
[25]Zhao Y P,Yu T X,Fang J.Saturation impulses for dynamically loaded structures with finite-deflections[J].Structural Engineering&Mechanics,1995,3(6):583-592.
[26]Zhu L,Yu T X.Saturated impulse for pulse-loaded elastic-plastic square plates[J].International Journal of Impact Engineering,1997,34(14):1709-1718.
[27]Yao S J,Zhang D,Lu F Y.Dimensionless number for dynamic response analysis of box-shaped structures under internal blast loading[J].International Journal of Impact Engineering,2016,98:13-18.
[2]Duffey T A,Romero C.Strain growth in spherical explosive chambers subjected to internal blast loading[J].International Journal of Impact Engineering,2003,28(9):967-983.
[3]Karpp R R,Duffey T A,Neal T R.Response of containment vessels to explosive blast loading[J].Journal of Pressure Vessel Technology,1983,105(1):23-27.
[4]Rushton N,Schleyer G K,Clayton A M,et al.Internal explosive loading of steel pipes[J].Thin-Walled Structures,2008,46(7/8/9):870-877.
[5]Clubley S K.Non-linear long duration blast loading of cylindrical shell structures[J].Engineering Structures,2014,59:113-126.
[6]Ma L,Hu Y,Zheng J Y,et al.Failure analysis for cylindrical explosion containment vessels[J].Engineering Failure Analysis,2010,17(5):1221-1229.
[7]侯海量,朱锡,李伟,等.舱内爆炸冲击载荷特性实验研究[J].船舶力学,2010,14(8):901-907.HOU Hai-liang,ZHU Xi,LI Wei,et al.Experimental studies on characteristics of blast loading when exploded inside ship cabin[J].Journal of Ship Mechanics,2010,14(8):901-907.(in Chinese)
[8]侯海量,朱锡,梅志远.舱内爆炸载荷及舱室板架结构的失效模式分析[J].爆炸与冲击,2007,27(2):151-158.HOU Hai-liang,ZHU Xi,MEI Zhi-yuan.Study on the blast load and failure mode of ship structure subject to internal explosion[J].Explosion and Shock Waves,2007,27(2):151-158.(in Chinese)
[9]孔祥韶,吴卫国,李俊,等.角隅结构对舱内爆炸载荷影响的实验研究[J].中国造船,2012,53(3):40-50.KONG Xiang-shao,WU Wei-guo,LI Jun,et al.Experimental research of influence of corner structure on blast loading under inner explosion[J].Shipbuilding of China,2012,53(3):40-50.(in Chinese)
[10]孔祥韶,徐维铮,郑成,等.多层防护结构舱内爆炸试验[J].船舶力学,2017,21(1):76-89.KONG Xiang-shao,XU Wei-zheng,ZHENG Cheng,et al.Experiment of a multi-layer protective structure under an inner explosion[J].Journal of Ship Mechanics,2017,21(1):76-89.(in Chinese)
[11]姚术健,张舵,卢芳云,等.多箱室结构内部爆炸损伤特性研究[J].兵工学报,2015,36(增刊1):87-91.YAO Shu-jian,ZHANG Duo,LU Fang-yun,et al.Reasearch on the damage characteristics of multi-chamber structure subjected to internal blast[J].Acta Armamentarii,2015,36(S1):87-91.(in Chinese)
[12]Langdon G S,Ozinsky A,Chung K Y S.The response of partially confined right circular stainless steel cylinders to internal airblast loading[J].International Journal of Impact Engineering,2014,73:1-14.
[13]Geretto C,Chung K Y S,Nurick G N.An experimental study of the effects of degrees of confinement on the response of square mild steel plates subjected to blast loading[J].International Journal of Impact Engineering,2015,79:32-44.
[14]Zheng C,Kong X S,Wu W G,et al.Experimental and numerical studies on the dynamic response of steel plates subjected to confined blast loading[J].International Journal of Impact Engineering,2018,113:144-160.
[15]Johnson W.Impact strength of materials[M].London,UK:Edward Arnold,1972.
[16]Jones N.A theoretical study of the dynamic plastic behavior of beams and plates with finite-deflections[J].International Journal of Solids and Structures,1971,7(8):1007-1029.
[17]Jones N.Structural impact[M].Cambridge,UK:Cambridge University Press,1989.
[18]Zhao Y P.Suggestion of a new dimensionless number for dynamic plastic response of beams and plates[J].Archive of Applied Mechanics,1998,68(7):524-538.
[19]Nurick G N,Martin J B.Deformation of thin plates subjected to impulsive loading—a review,part II:experimental studies[J].International Journal of Impact Engineering,1989,8(2):171-186.
[20]Jacob N,Nurick G N,Langdon G S.The effect of stand-off distance on the failure of fully clamped circular mild steel plates subjected to blast loads[J].Engineering Structures,2007,29(10):2723-2736.
[21]Geretto C.The effects of different degrees of confinement on the deformation of square plates subjected to blast loading[D].Cape Town,South Africa:University of Cape Town,2012.
[22]Bonorchis D,Nurick G N.The influence of boundary conditions on the loading of rectangular plates subjected to localised blast loading—importance in numerical simulations[J].International Journal of Impact Engineering,2009,36(1):40-52.
[23]Feldgun V R,Karinski Y S,Edri I,et al.Prediction of the quasi-static pressure in confined and partially confined explosions and its application to blast response simulation of flexible structures[J].International Journal of Impact Engineering,2016,90:46-60.
[24]Zhao Y P.Saturated duration of rectangular pressure pulse applied to rectangular plates with finite-deflections[J].Mechanics Research Communications,1997,24(6):659-666.
[25]Zhao Y P,Yu T X,Fang J.Saturation impulses for dynamically loaded structures with finite-deflections[J].Structural Engineering&Mechanics,1995,3(6):583-592.
[26]Zhu L,Yu T X.Saturated impulse for pulse-loaded elastic-plastic square plates[J].International Journal of Impact Engineering,1997,34(14):1709-1718.
[27]Yao S J,Zhang D,Lu F Y.Dimensionless number for dynamic response analysis of box-shaped structures under internal blast loading[J].International Journal of Impact Engineering,2016,98:13-18.