摘要
对轴压直杆的稳定性进行了动力学分析。分析表明,屈曲运动方程的解依动力学参数取值范围不同有3种情况,分别相应于稳定平衡、中性平衡和不稳定平衡。进而,对于两端简单支承的直杆直截了当地得到动力学参数对轴向载荷的依赖关系;若引入初始缺陷,与放大函数法相结合,便可找到最优发展模态。接着讨论了应力波加载引发的动力屈曲,为这一复杂问题的分析提供了某些有益的启示。
In this paper the stability of elastic bars is analyzed by dynamic approach. For a bar loaded by axial compression,there are three kinds of equilibrium state with different value of dynamic parameter,they are stable, neutral and unstable equilibrium respectively. Next for a pin-ended bar the relation between dynamic parameter and axial force is given. At last some important respects about the stress-wave-induced buckling are discussed in detail.
出处
《太原理工大学学报》
CAS
北大核心
2005年第2期111-114,122,共5页
Journal of Taiyuan University of Technology
基金
国家自然科学基金项目(10472076)
山西省自然科学基金资助项目(20031011)
关键词
理想直杆
动力屈曲
定性分析
应力波加载
perfect straight bar
dynamic buckling
qualitative analysis
stress-wave loading
