应用数学和力学2026，Vol.47Issue(1)：46-56,11.DOI:10.21656/1000-0887.450327
功能梯度材料圆柱杆浸入流体中的横振动
Transverse Vibration of Functionally Graded Material Cylinder Bars Dipped in Fluid
摘要
Abstract
Based on the 1st-order shear deformation theory(FSDT)and the potential flow theory,the trans-verse vibration of functionally graded material(FGM)cylinder bars dipped in fluid was analyzed.The cermet bar material properties following a power-law distribution along the radial direction were represented by the ra-dial gradient index.The fluid velocity potential and hydrodynamic loads were determined through solution of the Laplace equation in cylindrical coordinates with the variable separation method.The governing equations of mo-tion were derived according to Hamilton's principle.The fundamental frequencies and mode shapes were ob-tained with the generalized differential quadrature(GDQ)method and the direct iteration method.Additionally,the finite element analysis(CEL simulation)was used to validate the numerical results.Through parametric studies,the effects of the length-to-diameter ratio,the gradient index,the boundary conditions,as well as the fluid depth and density,on the transverse vibration behavior of the FGM bar-fluid interaction system were eval-uated.关键词
功能梯度材料/横振动/Hamilton原理/广义微分正交/流固耦合Key words
FGM/transverse vibration/Hamilton's principle/GDQ/fluid-structure interaction分类
数理科学引用本文复制引用
聂千钧,李联和..功能梯度材料圆柱杆浸入流体中的横振动[J].应用数学和力学,2026,47(1):46-56,11.基金项目
内蒙古自然科学基金(2023LHMS01017) （2023LHMS01017）
内蒙古自然科学基金重点项目(2024ZD21) （2024ZD21）
内蒙古自治区高校创新科研团队项目(NMGIRT2317) （NMGIRT2317）
无穷维哈密顿系统及其算法应用教育部重点实验室开放课题(2023KFZD02) （2023KFZD02）
内蒙古自治区研究生科研创新基金(B20231057Z) （B20231057Z）
