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球形壳在撞击载荷作用下的超临界动态响应 被引量:2

SUPERCRITICAL DYNAMIC RESPONSE OF SPHERICAL SHELLS IMPACTED BY A MISSILE
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摘要 本文研究了球弹性壳在撞击载荷作用下的动态行为。基于Pogorelov的曲面弯曲理论,给出了在任一时刻的壳体变形能的近似表达式,通过能量守恒,得到了描述受冲击后壳体运动控制方程,采用Runge—Kutta方法,求解了此方程,并给出了冲击力,窝陷半径随时间变化的关系曲线。 This paper studies the dynamic behaviour of elastic spherical shells by a flat-nosed missile.Baded on Pogorelov’s bending theory of surfaces,the approximate formulae of deformation energy of shell are derived at any time,By using the energy balance,the motion equations of shells are resulted.Finally,a comparison made between the numerical results and experimental ones indicates that the two groups of results are in comformity with each other.
机构地区 北京大学
出处 《太原工业大学学报》 1994年第1期1-5,共5页
基金 山西省自然科学基金
关键词 动态响应 球形壳 超临界 冲击载荷 spherical shell impact dynamic response.
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  • 1卢天健,何德坪,陈常青,赵长颖,方岱宁,王晓林.超轻多孔金属材料的多功能特性及应用[J].力学进展,2006,36(4):517-535. 被引量:247
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  • 6Gupta N K,Easwara Prasad G L,Gupta S K.Axial compression of metallic spherical shells between rigid plates[J].Thin-walled Structures,1999,34(1):21―41.
  • 7Gupta N K.Experimental and numerical studies of dynamic axial compression of thin walled spherical shells[J].International Journal of Impact Engineering,2004,30(8):1225―1240.
  • 8Gupta N K,Mohamed Sheriff N,Velmurugan R.Experimental and theoretical studies on buckling of thin spherical shells under axial loads[J].International Journal of Mechanical Sciences,2008,50(3):422―432.
  • 9Gupta N K,Sheriff N M,Velmurugan R.Experimental and numerical investigations into collapse behaviour of thin spherical shells under drop hammer impact[J].International Journal of Solids and Structures,2007,44(10):3136―3155.
  • 10Karagiozova D,Yu T X,Gao Z Y.Modelling of MHS cellular solid in large strains[J].International Journal of Mechanical Sciences,2006,48(11):1273―1286.

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