基于重构核粒子法的带孔薄板模态分析研究

无网格法是一种新颖的工程数值计算方法,与有限元法相比,具有很多独特的优势。重构核粒子法具有变时-频特性和多分辨率特性等优点,在结构动力学中有广泛的应用。本文针对带孔薄板这一不连续问题,根据无网格法和板壳振动的基本理论,采用了可视性准则处理场函数的不连续性,编写了基于重构核粒子法的模态分析程序,得到了不同边界条件下带孔薄板的前五阶固有频率和模态,并和有限元分析结果进行了比较。算例表明该方法收敛性好、精度高,为带孔薄板的模态分析提供了一种新的求解方法。

Modal Analysis of Perforated Thin Plate Based on Reproducing Kernel Particle Method(RKPM)

Reproducing kernel particle method(RKPM) is a widely applied meshless method in structural dynamics owing to its merit of variable time-frequency properties and multi-resolution power characteristics.This paper aims at the discontinuity of a perforated thin plate,and according to the basic theory of the shell-plate vibration,it uses visibility criterion to deal with the discontinuity of field functions,and the programs of modal analysis based on RKPM were developed.The first five natural frequencies and modals of perforated thin plates with different boundaries were obtained,and then these results were compared with finite element analysis results.Numerical examples show that this method has good convergence and accuracy,and provides a new solution for modal analysis of a perforated thin plate.