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
李明 1胡桂萍 2周俊汝1
作者信息
- 1. 武汉科技大学 理学院,湖北 武汉 430065
- 2. 河北建材职业技术学院 基础部,河北 秦皇岛 066004
- 折叠
摘要
基于磁流体动力学方程及非局部欧拉-伯努利(Euler-Bernoulli)梁模型,建立了轴向磁场作用下单壁碳纳米管磁流体输送系统的振动微分方程.应用微分求积法(DQM),在固支边界条件下,求解此高阶偏微分方程,着重研究管内磁流体效应、轴向磁场、小尺度参数(磁流体克努森数Kn与碳纳米管小尺度系数)对该系统振动与失稳特性的影响.数值计算结果表明,轴向磁场提升系统刚度及系统稳定性,而小尺度参数降低系统稳定性.更重要的是,固支边界系统中磁流体在磁场作用下,降低输送系统的刚度,但能提升输送系统的稳定性.
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引用本文复制引用
基金项目
国家自然科学基金资助项目(51909196)
出版年
2024
国家科技期刊平台
NSTL
万方数据