机械科学与技术2024，Vol.43Issue(3)：409-415,7.DOI:10.13433/j.cnki.1003-8728.20220266
计及表面残余应力的旋转凸凹型纳米圆板失稳分析
Instability Analysis of Rotating Convex and Concave Circular Nano-plate by Considering Surface Residual Stress
摘要
Abstract
Based on the theory of the surface residual stress of nanomaterials and small deflection of elastic plate,the transverse vibration differential equation of rotating convex-concave circular nanoplate was established.The variation of dimensionless complex frequency of convex-concave circular nanoplate with dimensionless angular speed and surface residual stress under different conditions was obtained by using the differential quadrature method.The results show that the first-order divergence instability of rotating convex-concave circular nanoplate was observed in both clamped and simply supported conditions.When other parameters are constant,the critical instability angular speed of the clamped concave circular nanoplate is smaller than that of the convex circular nanoplate,and the critical instability angular speed of the simply supported concave circular nanoplate is greater than that of the convex circular nanoplate.The critical instability angular speed increases with the increasing of surface residual stress,and the critical surface residual stress increases with the increasing of dimensionless angular speed.关键词
纳米圆板/横向振动/表面残余应力/发散失稳Key words
circular nanoplate/transverse vibration/surface residual stress/divergence instability分类
力学引用本文复制引用
杨勇强,杨萍,张旭乐..计及表面残余应力的旋转凸凹型纳米圆板失稳分析[J].机械科学与技术,2024,43(3):409-415,7.基金项目
陕西科技大学博士基金项目(2020BJ-02)与陕西省教育厅服务地方专项(21JC004) （2020BJ-02）
