针对有球形顶盖的圆型柱壳结构,基于弹性薄壳振动理论用相同边界梁振型函数近似柱壳振型轴向分布,提出内爆炸荷载作用下此类结构动力响应计算方法,分析长径比对柱壳振动影响,获得结构位移简化算法。通过算例与已有方法对比验证该方法的合理性,并研究顶盖对柱壳振动影响。结果表明,计算径向位移时由柱壳顶端侧向弹性铰支边界考虑顶盖约束,按内部静压条件确定的铰支系数对柱壳振动高阶振型计算时产生误差,在柱壳顶端加入顶盖等效集中质量可有效降低该误差,并使振动频率及顶端径向位移计算值较小;随长径比增大球形顶盖对柱壳振动影响逐渐减小。
Abstract
Based on classical elastic thin shell theory, the structure modal shape were expressed by beam modal function with the same boundary, and the dynamic response calculation methods of cylindrical shell with spherical dome under internal blast load were proposed. The simplified calculation method for dynamic response was obtained by analyzing the influence of slenderness ratio on cylindrical shell vibration. Though calculation examples, the calculated results of the presented method were compared with those of the existing methods. The rationality of the proposed method was validated, and the influences of dome on structure vibration were analyzed. The conclusions are as follows, by using the calculation model of cylindrical shell with equivalent concentrated mass of spherical dome, the computing error of shell radial displacement on higher order modes, which caused by elastic hinge stiffness coefficient obtained under cylindrical shell internal static pressure, can be reduced effectively. The calculation results of cylindrical shell vibration frequency and roof radial displacement are smaller than those of existing method. The influences of spherical dome on the cylindrical shell vibration decrease with the increase of the slenderness ratio of structure.
关键词
动力响应 /
计算方法 /
梁振型函数 /
圆形柱壳 /
内爆炸
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Key words
dynamic response /
calculation method /
beam modal function /
cylindrical shell /
internal blast
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参考文献
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