摘要
利用Hamilton原理得出轴向压力和径向冲击载荷作用下圆柱壳位移的运动微分方程,推导方程的解析解。通过数值计算,分析圆柱壳的位移随时间变化曲线,位移的幅频曲线以及应变随时间变化曲线和幅频曲线。数值计算结果表明,圆柱壳的径向和轴向位移要远大于周向位移;简谐激励频率为285 Hz,1 060 Hz,1 152 Hz,2 444 Hz,2 640 Hz,2 763 Hz,4 074 Hz时,径向位移幅值取值最大;简谐激励频率为285 Hz时轴向位移幅值取值最大;简谐激励频率为4 074 Hz时轴向应变幅值取得最大值;简谐激励频率为5 586 Hz,5 762 Hz,6 285 Hz时,周向应变幅值取值最大。
The differential equations of motion for cylindrical shells under axial compression and impact loads are derived by use of Hamilton＇s theorem, and the analysis solution of the equations have been obtained The variation curve of the displacement-time and the displacement-frequency have been analyzed by numerical calculation, and also the variation curve of strain-time and strain-frequency have been studiedo The numerical calculation results show that the radial displacement response is the greatest when the harmonic response frequency are 285 Hz,1 060 Hz,1 152 Hz,2 444 Hz,2 640 Hz,2 763 Hz,4 074 Hz; The axial displacement response is the greatest when the harmonic response frequency is 285 Hz; The axial strain response is the greatest when the harmonic response frequency is 4 074 Hz ; The radial strain response is the greatest when the harmonic response frequency are 5 586 Hz,5 762 Hz,6 285 Hz.
出处
《舰船科学技术》
北大核心
2014年第7期20-23,27,共5页
Ship Science and Technology
基金
国家自然科学基金资助项目(10772196)
关键词
圆柱壳
冲击载荷
动力响应
轴向压力
cylindrical shell
impact loads
dynamical response
axial compression
