南京航空航天大学学报（英文版）2024，Vol.41Issue(4)：515-525,11.DOI:10.16356/j.1005⁃1120.2024.04.008
复杂边界条件下含圆形通孔的矩形板振动特性建模及分析
Modeling and Analysis of Vibration Characteristics of Rectangular Plate with Circular Through Hole Under Complex Boundary Conditions
摘要
Abstract
This paper presents a method to study the free vibration of a plate with circular holes.The circular hole is regarded as a virtual small plate in which the mass density and Young's modulus are zero.Therefore,the free vibration problem of the circular hole plate can be transformed into the free vibration problem of the equivalent rectangular plate with non-uniform thickness.The model is derived from the spectral geometry method(SGM),and the displacement of the plate with circular holes is expanded by the modified Fourier series.Virtual springs are added to the boundary of the plate to simulate the boundary conditions of simply supported and fixed supports.The accuracy of this method is verified by comparison with the finite element calculation results.The relationship between modal numerical solutions of plates with circular holes and boundary conditions and geometry of the plate is studied.关键词
圆孔板/谱几何法/能量法/虚拟弹簧Key words
round hole plate/spectral geometry method(SGM)/energy method/virtual spring分类
通用工业技术引用本文复制引用
唐天逸,何逸杰,吴佳俊,董梦龙,王刚,倪俊芳..复杂边界条件下含圆形通孔的矩形板振动特性建模及分析[J].南京航空航天大学学报（英文版）,2024,41(4):515-525,11.基金项目
This work was supported by the Na-tional Natural Science Foundation of China(No.51805341)and the Science and Technology Major Project of Ningbo City(No.2021Z098). （No.51805341）
