摘要
利用非线性弹簧模型分析了静力失稳与动力失稳的区别,指出拟静力刚度准则不能用于判定结构动力稳定.给出了结构动力系统特征能量的概念,发现结构动力失稳源于结构特征能量超过输入到结构中的总能量,由此提出了一种判定结构动力稳定性的新准则.实例分析表明,本文建议的准则可以准确分析并判定结构在任意动力荷载激励下的动力失稳.
In this paper,the differences between static instability and dynamic instability are explored with the aid of a nonlinear spring model.It is pointed out that the dynamic instability of structures can not be identified by the pseudo static stiffness criterion.The concept of intrinsic energy of system is then put forward and it is found that the essence of dynamic instability of structures lies in that the intrinsic energy surpasses the energy imported into the structure,where a novel criterion for the identification of dynamic instability of structures is proposed accordingly.The relevant numerical computations indicate that the proposed criterion can analyze and judge the dynamic instability of structures subjected to arbitrary dynamic loadings effectively.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2015年第7期965-971,共7页
Journal of Tongji University:Natural Science
基金
国家自然科学基金(51261120374
90715033)
关键词
结构动力稳定
切线刚度
特征能量
输入总能量
判定准则
dynamic stability
tangent stiffness
intrinsic energy
input energy
identification criterion
