摘要
本文是将突变理论应用于工程结构的动力稳定性的一个尝试.作者不仅得到弹性拱振动失稳的突变模型,而且给出发生失稳的条件.
This paper represents an attempt at the application of catastrophe theory to the dynamic stability of engineering structures. The authors not only obtain a catastrophic model of vibrational buckling of elastic arches, but also give the critical condition of losing stability.
出处
《应用数学和力学》
EI
CSCD
北大核心
1990年第12期1099-1102,共4页
Applied Mathematics and Mechanics
关键词
拱
振动失稳
突变
结构
动力稳定性
catastrophe, cusp catastrophe, hysteresis, inaccessibility, bifurcation set
