位置：成果数据库 > 期刊 > 期刊详情页
拱型结构在参、强激励下主共振情形的分叉分析
  • 期刊名称：机械强度,30(3)(2008)，359-361，(EI核心刊)
  • 时间：0
  • 分类：O322[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]南京航空航天大学数学系,南京210016, [2]南京航空航天大学力学系,南京210016
  • 相关基金：国家自然科学基金（10572057）、江苏省自然科学基金（BK2006186）资助项目.
  • 相关项目：高维非线性系统分岔及混沌若干问题的研究
关键词： 拱型结构, 平均法, 主共振, 分叉, 奇异性理论, Arch structures, Averaging method, Primary resonance, Bifurcation, Singularity theory
中文摘要：

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。

英文摘要：

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.

同期刊论文项目
高维非线性系统分岔及混沌若干问题的研究
期刊论文 36 会议论文 2
同项目期刊论文
超音速气流中受热壁板的非线性动力学分析
非线性Mathieu 方程的局部分岔和在余维2退化点的 Hopf分岔
Conservative difference methods for the Klein-Gordon-Zakharov equations
Solutions of nonlinear second order impulsive integrodifferential equations of mixed type in Banach
Positive solutions of difference boundary value problems with mixed monotonicity
Existence of solutions of initial value problems for second order impulsive integrodifferential equa
Bifurcation analysis of an arch structure with the parametric and forced excitation
求解Klein-Gordon-Schrodinger方程组的一个新型守恒差分算法的收敛性分析
Si'lnikov chaos of Liu system
Solutions for second order impulsive integrodifferential equation on unbounded domains in Banach spa
Conservative schemes for the symmetric regularized long wave equations
Conservative difference scheme based on numerical analysis for nonlinear Schrodinger equation with w
一类含间隙滞回动力系统周期运动和分岔
无穷域上一类非线性积分方程解的存在性
对称正则长波方程的拟紧致守恒差分格式
求解广义正则长波方程的守恒差分格式
New conservative schemes for regularized long wave equation
Stability and Bifurcation analysis for a model of a nonlinear coupled-root ship,
Chaotic behavior in a reduction of the perturbed Kdv equation in form of a parametric excitation
Banach空间中二阶脉冲积分—微分方程初值问题的解
自适应延时反馈控制混沌方法
对称正则长波方程的拟紧致守恒差分逼近
Analysis of some new conservative schemes for nonlinear Schrodinger equation with wave operator
Numerical approximation for a coupled Schrodinger system
Hopf bifurcation and Si’lnikov chaos of Genesio system
Stability and bifurcation for a flexible beam under a large linear motion with a combination paramet
对称正则长波方程的守恒差分算法
关于求解非线性耦合Schrdinger方程的Sonnier-Christov格式
一类参数不确定Rossler系统的自适应反推混沌控制
求解Klein-Gordon-Schrdinger方程组的一个新型守恒差分算法的收敛性分析
一类线性不等式约束优化问题的信赖域算法
具有参数激励约简的扰动KdV方程的混沌行为
基于带波动算子非线性Schroedinger方程数值分析的守恒差分算法
SOLUTIONS FOR SECOND ORDER IMPULSIVE INTEGRO- DIFFERENTIAL EQUATION ON UNBOUNDED DOMAINS IN BANACH SPACES
The Existence of Solutions of Initial Value Problems for Nonlinear Second Order Impulsive Integro-Differential Equations of Mixed Type in Banach Spaces