摘要
研究了正六角形蜂窝夹层板的非线性动力学问题.考虑高阶横向剪切变形和横向阻尼的影响,建立了面内激励和横向外激励联合作用下的四边简支蜂窝夹层板的非线性偏微分运动控制方程.综合运用Galerk in方法和数值方法,模拟不同激励作用下的混沌运动,得到二维相图、二维波形图和频谱图.研究结果表明:随着激励的增加,系统会重复呈现周期运动、混沌运动、周期运动的变化规律.
The nonlinear dynamics of simply supported honeycomb sandwich rectangular plates was investigated. Considering the effects of higher-order transverse shear deformation and transversal damping, we established the mathematical model of the honeycomb sandwich plates under the in-plane and transversal excitations. The Galerkin method and numerical simulation were used to analyze the nonlinear responses of different amplitude excitations. The planar phase portrait, waveform and frequency spectrum were plotted. The results of numerical simulation indicate that there exists the following procedure of motion for the honeycomb sandwich rectangular plates under the in-plane and transversal excitations：from periodic motion to chaotic motion and then to periodic motion.
出处
《动力学与控制学报》
2008年第2期150-155,共6页
Journal of Dynamics and Control
基金
国家自然科学基金资助项目(10732020
10425209)~~
关键词
蜂窝夹层板
高阶剪切效应
非线性动力学
混沌
honeycomb sandwich plates, third-order shear deformation theory, nonlinear oscillations, chaotic motion
