摘要
基于能量关系,应用功率原理对弹性杆在刚性块轴向撞击下的动力屈曲问题进行了讨论。用幂级数解法,理论上给出了该问题的级数解,同时考虑了应力波传播及反射对屈曲的影响。通过理论分析和数值计算,得到了临界速度与冲击质量以及临界时间的关系,给出了发生屈曲时的临界条件。
The dynamic buckling of an elastic bar under an axial impact by a rigid body is discussed in accordance with the energy law. The equation of lateral disturbance is used to analys the problem. The effects on the propagation and reflection of stress wave are taken into account. The power series solution of this problem is obtained theoretically. The buckling criterion of this problem is proposed by analyzing the characteristics of solution. The relationships between critical velocity and impacting mass as well as critical velocity and critical length are obtained by using theoretical analysis and numerical computation.
出处
《爆炸与冲击》
EI
CAS
CSCD
北大核心
2004年第5期401-406,共6页
Explosion and Shock Waves
基金
国家自然科学基金项目(10002010)
山西省自然科学基金项目(20031011)
山西省青年科学基金项目(20011003)
关键词
固体力学
动力屈曲
功率原理
弹性杆
应力波
临界条件
幂级数
solid mechanics
dynamic buckling
energy law
elastic bar
stress wave
critical condition
power series
