论文部分内容阅读
对薄板的高阶振动进行了讨论。应用模型基于Kirchhoff平板理论的假定和公差平均值的假定[Wo■ niak Cz,Wierzbicki E.Averaging techniques in thermomechanics of composite solids.Tolerance averaging versus homogenization.Poland,Czestochowa:Czestochowa University of Technology;2000],这使得模型可以考虑到周期单元对于整块板性能的影响。假设对周期单元振动的影响参数过多,可以对模型进行比基本振型更高阶的振动分析。这些函数是通过从边界条件中分离周期单元,对其自振时的特征值方程分析选取的近似值[JedrysiakJ.On vibrations of thin plates with one-dimensional periodic structure.Int J Eng Sci 2000;38:2023-2043]。通过应用平面板模型-正交各向异性模型、有限元模型和离散模型,对提议模型进行了论证。
The high-order vibration of the sheet is discussed. The applied model is based on the assumption of the Kirchhoff plate theory and the assumption of a mean value of the tolerance [Wošniak Cz, Wierzbicki E. Averaging techniques in thermomechanics of composite solids. Tolerance averaging versus homogenization. Poland, Czestochowa: Czestochowa University of Technology; 2000] The model can take into account the impact of periodic units on the performance of the entire board. Assuming that there are too many parameters that affect the periodic unit vibration, the model can be subjected to a higher order vibration analysis than the fundamental mode. These functions analyze the selected approximations of eigenvalue equations for their self-oscillation by separating periodic elements from the boundary conditions [Jedrysiak. On vibrations of thin plates with one-dimensional periodic structure. Int J Eng Sci 2000; 38: 2023- 2043]. The proposed model is demonstrated through the application of flat panel model - orthogonal anisotropy model, finite element model and discrete model.