海南师范大学学报（自然科学版）2025，Vol.38Issue(3)：274-280,7.DOI:10.12051/j.issn.1674-4942.2025.03.003
轴向运动圆板自由振动的DQM解
DQM Solutions for Natural Vibration of Axially Moving Circular Plates
摘要
Abstract
Differential quadrature method(DQM)was used to reveal the natural vibration characteristics of axially moving circular plates.In Cartesian coordinate system,the dynamic differential governing equations of axially moving circular plates were established by using the third order shear deformation plate theory and virtual work principle.A circular plate in Cartesian coordinate system was mapped to a square plate in natural coordinate system by using the coordinate mapping technique.In the natural coordinate system,the differential quadrature method was used to transform the differential governing equations into algebraic equations,and the natural frequencies under certain ve-locities and pre-stress conditions can be obtained.The results showed that when the velocity of axially moving circu-lar plate was lower than critical velocity,the velocity was inversely correlated with the natural frequency,and instabili-ty,stable and coupled chatter would occur during the process of velocity increasing.The influence of pre-stress on natural frequency was modal dependent.关键词
轴向运动/圆板/自由振动/坐标映射/微分求积法Key words
axially moving/circular plate/free vibration/coordinate mapping/DQM分类
数理科学引用本文复制引用
随岁寒,韩振南..轴向运动圆板自由振动的DQM解[J].海南师范大学学报（自然科学版）,2025,38(3):274-280,7.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）
商丘市科技发展指导性计划项目(SK202325) （SK202325）
商丘工学院校级科研项目(2025KYXM01) （2025KYXM01）
