拱型结构在参、强激励下主共振情形的分叉分析  

BIFURCATION ANALYSIS OF AN ARCH STRUCTURE WITH PARAMETRIC AND FORCED EXCITATION IN THE CASE OF PRIMARY RESONANCE

作　　者：周良强[1] 陈芳启[1] 

机构地区：[1]南京航空航天大学数学系

出　　处：《机械强度》2008年第3期359-361,共3页Journal of Mechanical Strength

基　　金：国家自然科学基金(10572057);江苏省自然科学基金(BK2006186)资助项目~~

摘　　要：研究拱型结构在参数激励与强迫激励联合作用下的主共振情形的分叉问题。在由平均法得到的一次近似解的基础上,已有学者研究了这类系统的幅频曲线及其部分动力学行为,文中利用奇异性理论研究该模型在主共振情形下幅频随谐调参数的分叉行为,给出参数平面上的转迁集和相应的分叉图。得到的结果给出该类模型的一些新的动力学特性。The primary resonance bifurcation problems are discussed for an arch structure with parametric and forced excitation. Based on the first approximate solution obtained by the averaging method, the amphtude-frequency curve and some dynamical behavior have been shown by some researchers for this system. Here, by means of singularity theory, the bifurcation behavior of the amplitude with respect to detuning parameters in the case of primary resonance is further studied. The related transition sets in the parameter plane and the bifurcation diagrams are plotted here, thus providing much more detailed information about bifurcation of the buckled structure.

关 键 词：拱型结构 平均法 主共振 分叉 奇异性理论 

分 类 号：O322[理学—一般力学与力学基础]