正交异性弹性板固有频谱渐近性质

Asymptotic Behavior of Natural Frequency Spectrum for the Orthotropic Elastic Plate with Clamping Edges

根据椭圆微分算子特征值问题分析,利用偏微分方程紧算子理论及Fourier变换的方法,给出了夹支边界正交各向异性簿板固有频谱的一些重要特性,得到了弹性薄板振动频率的一个下界估计.

Based on the analysis of the eigenvalue problem of elliptic differential operators,some important qualitative properties of the frequency spectra for thin orthotropic plates with clamping edges are given by using Fourier transform and the compact operator theory for partial differential equations.The lower bound estimation of free vibrational frequencies for thin elastic plates is also obtained.