宁夏大学学报（自然科学版）2024，Vol.45Issue(2)：144-148,154,6.
微分求积法分析碳纳米管磁流体输送系统的稳定性
Differential Quadrature Method for Analyzing Stability of Magnetic-fluid Conveying Carbon Nanotube
摘要
Abstract
A vibration differential equation for a single-walled carbon nanotube(SWCNT)conveying magnetic-fluid subjected to a longitudinal magnetic field was established,based on magnetohydrodynamic(MHD)equa-tions and the nonlocal Euler-Bernoulli beam model.The differential quadrature method(DQM)was applied to solve this high-order partial differential equation under clamped boundary conditions,focusing on the effects of magnetic fluid,axial magnetic field,and small-scale parameters(magnetic fluid Knudsen number Kn and car-bon nanotube small-scale coefficient)on the vibration and instability characteristics of the system.Numerical results show that the longitudinal magnetic field enhances system stiffness and stability,while small-scale parameters reduce system stability.Specifically,in a clamped boundary system,the magnetic fluid reduces the stiffness of the conveying system under the influence of a magnetic field,but it can enhance the stability.关键词
碳纳米管/磁流体/轴向磁场/小尺度效应Key words
carbon nanotube/magnetic-fluid/longitudinal magnetic field/small-scale effect分类
数理科学引用本文复制引用
李明,胡桂萍,周俊汝..微分求积法分析碳纳米管磁流体输送系统的稳定性[J].宁夏大学学报（自然科学版）,2024,45(2):144-148,154,6.基金项目
国家自然科学基金资助项目(51909196) （51909196）
