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刚性块轴向冲击有限长弹性杆的稳定问题
引用本文:彭兴黔 黄永琴. 刚性块轴向冲击有限长弹性杆的稳定问题[J]. 石油天然气学报, 1996, 18(3): 115-118
作者姓名:彭兴黔 黄永琴
作者单位:[1]江汉石油学院建筑工程系 [2]江汉石油学院实验设备处
摘    要:对具有初速的刚性块与有限长弹性杆轴向冲击的稳定问题进行了分析。将冲击惯性力作为体积力,把动态问题转化为准静态问题处理,并应用瑞利-里兹法推导出稳定本征方程,从而可近似求解出各种边界条件下冲击压杆失稳的临界速度。最后设例进行了计算和分析。

关 键 词:结构动力分析 弹性分析 杆 稳定性 刚性块

Axial Stability of Impactingan Elastic Rod with Constrained Length by a Rigid Piece
Peng Xingqian, Huang Yongqin. Axial Stability of Impactingan Elastic Rod with Constrained Length by a Rigid Piece[J]. Journal of Oil and Gas Technology, 1996, 18(3): 115-118
Authors:Peng Xingqian   Huang Yongqin
Abstract:The axial stability of impacting an elastic rod with constrained length by a rigid piece with initial velocity is analysed. By considering impact inertia as volume one, transforming dynamic problem into quasi-static one and using Rayleigh-Ritz's method, a stable eigen equation is derived. Thereby, its critical velocity is approximated under different boundary conditions when the rod is unstable. A calculated example is given and the result is discussed.
Keywords:dynamic structural analysis  elastic analysis  bars  elastic stability  critical velocity
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