海南师范大学学报（自然科学版）2024，Vol.37Issue(1)：20-29,10.DOI:10.12051/j.issn.1674-4942.2024.01.003
轴向运动正六边形板的自由振动
Free Vibration on Regular Hexagonal Thin Plates in Axial Motion
摘要
Abstract
The transverse free vibration of a regular hexagonal thin plate under axial motion excitation was studied.In or-der to account for the effect of transverse shear deformation,Reddy's third-order shear deformation plate theory was ap-plied,and 6-node triangular elements were used to discretize the domain.The dynamic finite element equation of the sys-tem was established by virtual work principle.In the numerical example,two typical layout forms were selected,and two boundary conditions of fixed support and simple support were considered.The first four order natural frequencies were ob-tained by solving the system equation numerically.The accuracy of the proposed method was verified by comparing with ANSYS results.It was found that the velocity affects the natural vibration of the system through centrifugal force and Corio-lis force,and the velocity is inversely correlated with each order frequency.In addition,it was found that the second and third order frequencies of the regular hexagonal plate have two modes respectively.When the speed is zero,the natural fre-quencies are the same,but with the increase of the speed,the corresponding frequencies of the two modes gradually sepa-rate.Some dynamic phenomena revealed can provide reference for the design and optimization of axially moving regular hexagonal thin plates.关键词
轴向运动/正六边形薄板/Reddy板理论/自由振动/有限单元法Key words
axial motion/regular hexagonal thin plate/Reddy plate theory/free vibration/finite element method分类
数理科学引用本文复制引用
随岁寒,刘金建..轴向运动正六边形板的自由振动[J].海南师范大学学报（自然科学版）,2024,37(1):20-29,10.基金项目
国家自然科学基金项目(11972240) （11972240）
河南省高等学校重点科研项目(23B130002) （23B130002）
商丘工学院校级科研项目(2023KYXM01) （2023KYXM01）
