功能梯度材料圆柱杆浸入流体中的横振动OA
Transverse Vibration of Functionally Graded Material Cylinder Bars Dipped in Fluid
基于一阶剪切变形理论(FSDT)和势流理论,对浸没于流体中的功能梯度材料(FGM)圆柱杆进行了横振动分析.以径向梯度指标表征金属陶瓷杆的材料性能沿径向服从幂律分布,利用分离变量法求解柱坐标系下Laplace方程,确定了流体速度势和流体动力荷载;利用Hamilton原理推导了控制方程,通过多域GDQ方法离散控制方程,结合直接迭代法计算基频与模态振型,采用CEL仿真辅助验证数值结果.通过参数化研究,评估了长径比、梯度指标、端部边界条件以及流体深度和密度等对FGM杆-流体相互作用系统横振动行为的影响.
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.
聂千钧;李联和
内蒙古师范大学数学科学学院,呼和浩特 010022||内蒙古应用数学中心,呼和浩特 010022||无穷维哈密顿系统及其算法应用教育部重点实验室,呼和浩特 010022内蒙古师范大学数学科学学院,呼和浩特 010022||内蒙古应用数学中心,呼和浩特 010022||无穷维哈密顿系统及其算法应用教育部重点实验室,呼和浩特 010022
数理科学
功能梯度材料横振动Hamilton原理广义微分正交流固耦合
FGMtransverse vibrationHamilton's principleGDQfluid-structure interaction
《应用数学和力学》 2026 (1)
46-56,11
内蒙古自然科学基金(2023LHMS01017)内蒙古自然科学基金重点项目(2024ZD21)内蒙古自治区高校创新科研团队项目(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)内蒙古自治区研究生科研创新基金(B20231057Z)
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