摘要
利用差分方法求解动力后屈曲非线性方程解,研究了弹性直杆的2类轴向碰撞屈曲问题.将双特征参数解得出的含有小幅值参数的初始动力屈曲模态作为非线性后屈曲解的初始条件.理论计算的结果与文献中的实验数据达到了很好的一致,由此验证了双特征参数方法的正确性.研究结果还揭示了碰撞过程中屈曲变形扩展和发展的机理,以及轴向应力波和屈曲变形的相互作用规律.
By the finite difference method, post-buckling deformations are solved for 2 initial dynamic buckling mode with a the non-linear equations governing the elastic dynamic types of impact buckling problems for straight bars. The small amplitude parameter, given by the twin-characteristic-parameter solution, is used as the initial condition of the nonlinear post-buckling solution. The theoretical results are in good agreement with the experimental data in the references, by which the twin-characteristic-parameter solution is proved. The investigation reveals the mechanism of growth and spread of buckling deformation in the bar and the interaction between the axial stress wave and the buckling deformation in the process of impact.
出处
《海军工程大学学报》
CAS
北大核心
2005年第6期1-8,13,共9页
Journal of Naval University of Engineering
基金
国家自然科学基金资助项目(10272114)
关键词
弹性杆
轴向碰撞
动力屈曲
屈曲扩展
双特征参数
elastic bars
axial impact
dynamic buckling
growth and spread of buckling
twin-charact eristic-parameter
