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－里兹法推导出了稳定本征方程，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。
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.
出处
《江汉石油学院学报》
CSCD
北大核心
1996年第3期115-118,共4页
Journal of Jianghan Petroleum Institute
关键词
结构动力分析
弹性分析
杆
稳定性
刚性块
dynamic structural analysis
elastic analysis
bars
elastic stability
critical velocity
