Dynamic Buckling of Elastic-Plastic Column Impacted by a Rigid Body
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摘要: 基于能量原理，对弹塑性杆在刚性块轴向撞击下的动力屈曲问题进行了讨论．用特征线法分析了刚性块轴向撞击弹塑性直杆时应力波传播的过程．考虑了弹塑性应力波传播对屈曲的影响，建立了该问题横向扰动方程．用幂级数解法，理论上给出了该问题的级数解．分析解的性质，得到了发生屈曲时的临界条件．通过理论分析和数值计算，得到了临界速度与冲击质量、临界长度及线性强化模量间的关系．Abstract: The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body is discussed by using the energy law.The traveling process of elastic-plastic waves under impact action was analyzed by characteristics method.The equation of lateral disturbance used to analyize the problem is developed by taking into account the effect of elastic-plastic stress wave.The power series solution of this problem has been reached in theory iwth the power series approach.The buckling criterion of this problem is proposed by analyzing the characteristics of the solution.The relationship among critical velocity and impact mass,critical buckling length,hardening modulus is given by using theoretical analysis and numerical computation.
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Key words:
- dynamic buckling /
- stress wave /
- critical criterion /
- power series
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