CAJ | 학술논문

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。
침대유구형정개적원형주각결구，기우탄성박각진동이론용상동변계량진형함수근사주각진형축향분포，제출내폭작하재작용하차류결구동력향응계산방법，분석장경비대주각진동영향，획득결구위이간화산법。통과산례여이유방법대비험증해방법적합이성，병연구정개대주각진동영향。결과표명，계산경향위이시유주각정단측향탄성교지변계고필정개약속，안내부정압조건학정적교지계수대주각진동고계진형계산시산생오차，재주각정단가입정개등효집중질량가유효강저해오차，병사진동빈솔급정단경향위이계산치교소；수장경비증대구형정개대주각진동영향축점감소。
Based on the classical elastic thin shell theory,cylindrical shell's modal shape functions were expressed approximately with beam's modal shape functions under the same boundaries,and the dynamic response calculation methods for cylindrical shells with spherical dome under internal blast load were proposed.The simplified calculation method for the displacement of the shells was obtained by analyzing the influence of slenderness ratio on the cylindrical shells'vibration.Through calculation examples,the calculated results of the proposed method were compared with those of the existing methods.The rationality of the proposed method was validated,and the influences of dome on the structure vibration were analyzed.The results showed that using the calculation model of cylindrical shell with equivalent concentrated mass of spherical dome,the computing error of shell radial displacements of higher order modes caused by elastic hinge stiffness coefficient obtained under cylindrical shell internal static pressure can be reduced effectively;the calculation results of cylindrical shell modal vibration frequencies and dome radial displacements are smaller than those of the existing methods;the influences of spherical dome on the cylindrical shells'vibration decrease with increase in the slenderness ratio of the shells.