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首页> 外文会议>International Congress on Sound and Vibration >EFFECT OF EXCITATION AMPLITUDE ON DYNAMICS OF POST-BUCKLED RECTANGULAR COMPOSITE PLATE
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EFFECT OF EXCITATION AMPLITUDE ON DYNAMICS OF POST-BUCKLED RECTANGULAR COMPOSITE PLATE

机译：激发幅度对后弯曲矩形复合板动力学的影响

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摘要

Buckled laminated composite plate behavior not only exhibits quadratic and cubic nonlinearity but also parametric and forced excitation when it is subjected to in-plan dynamic loading. A rectangular simply supported symmetric cross-ply laminated composite plate is studied. The effect of the excitation amplitude on the chaotic behavior of the rectangular laminated plate undergoing dynamic buckling is investigated. The bifurcation diagrams and the bifurcation parameter (forcing frequency) ranges for the chaotic motion are obtained. Fundamental and sub-harmonic resonances are studied. The results show that the excitation amplitude has a good effect on the behavior of the laminated composite plat during the process of dynamic post-buckling. Hamilton’s Principle, Galerkine Method, and Lagrangian Equation are used to obtain the equations of motion. Transverse shear deformation (nonlinear higher-order shear deformation theory), Geometric nonlinearitiy and In-plane inertia and rotary inertia are considered. Differential equation of one-degree of freedom with quadratic and cubic non-linearities as well as parametric and harmonic excitation terms is stated. Controlling the chaos rang by adding damping foil layer is studied as well. The equation has been integrated numerically by utilizing MATLAB.
机译：弯曲的层压复合板行为不仅表现出二次和立方体非线性，而且当它对计划内动态载荷时也是参数和强制激发。研究了矩形简单地支撑的对称的交叉层叠复合板。研究了激发幅度对经历动态屈曲的矩形层压板的混沌行为的影响。获得了混沌运动的分叉图和分叉参数（强制频率）范围。研究了基本和副谐波共振。结果表明，激励幅度对动态后屈曲过程中层叠复合平台的行为良好。汉密尔顿的原理，Galerkine方法和拉格朗日方程用于获得运动方程。考虑横向剪切变形（非线性高阶剪切变形理论），几何非线性和面内惯性和旋转惯性。陈述了用二次和立方非线性的一定程度自由的微分方程以及参数和谐波激励术语。通过添加阻尼箔层控制混沌响起。通过利用MATLAB，该等式一直集成。

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