轴向运动三角形薄板的模态分析  

Modal Analysis of Axially Moving Triangular Plates

作　　者：随岁寒 孟华[1] 韩振南 SUI Suihan;MENG Hua;HAN Zhennan(School of Mechanical Engineering,Shangqiu Institute of Technology,Shangqiu 476000,China;School of Mechanical Engineering,Taiyuan University of Technology,Taiyuan 030024,China)

机构地区：[1]商丘工学院机械工程学院,河南商丘476000 [2]太原理工大学机械工程学院,山西太原030024

出　　处：《海南师范大学学报（自然科学版）》2022年第4期365-372,共8页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金项目(11972240);商丘工学院校级科研项目(2022KYXM21);商丘工学院高等教育教学改革研究与实践项目(2021JGXM26);河南省高等学校重点科研项目(23B130002)。

摘　　要：轴向运动三角板的动力学模型具有重要的理论意义和潜在应用价值,本文首次应用有限元法对轴向匀速运动三角形薄板进行模态分析。采用3节点三角形单元离散求解域,基于Kirchhoff薄板理论和虚功原理建立轴向运动三角形薄板的自由振动有限元方程,在固支和简支2种边界条件下得到了系统前四阶固有频率及其模态,分析了轴向运动速度对各阶固有频率和模态的影响。结果发现:各阶固有频率随速度增大而减小,第一阶固有频率首先减小到零;各阶模态的最大挠度值沿着速度反方向偏移,速度越大偏移越明显;固支板抵抗速度影响的能力大于简支板。The dynamic model of axial moving triangle plate is of important theoretical significance and potential application value.In this paper,the finite element method is used for the first time to analyze the modal of the axial uniformly moving triangular plate.Based on Kirchhoff plate theory and virtual work principle,the finite element equation of axially moving triangular plate is established by using three-node triangular element to discrete solution domain.The first four order natural frequencies and modes of the system were obtained under clamped and simply supported boundary conditions,and the influence of axial velocity on the natural frequencies and modes of the system was analyzed.The results show that the natural frequencies of each order decrease with the increase of velocity,and the first order natural frequencies decrease to zero first.The maximum deflection of each mode moves in the opposite direction of the velocity,and the larger the velocity is,the more obvious the deflection is.The ability of the clamped plate to resist velocity influence is greater than that of the simply supported plate.

关 键 词：轴向运动 三角板 模态分析 有限元法 

分 类 号：O343[理学—固体力学]