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欧勒纳米光束的动态稳定性受到惯性移动纳米粒子的影响,基于非局部应变梯度理论

Mohammad Hashemian¹, Dheyaa J Jasim², S Mohammad Sajadi³

¹Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran.

|May 13, 2024

概括

本研究使用非局部应变梯度理论 (NSGT) 和表面效应检查欧勒-伯诺利纳米束动态稳定性. 结果显示,基础刚度显著影响稳定性区域,温克勒常数比帕斯特纳克常数有更大的影响.

科学领域:

固体力学固体力学是什么
纳米技术纳米技术
材料科学材料科学材料科学

背景情况:

研究纳米束稳定性对于微/纳米尺度设备设计至关重要.
表面效应和非局部现象显著影响纳米结构的行为.
帕斯特纳克基础模型提供了更现实的弹性基础的表现.

研究的目的:

在移动的纳米粒子下分析欧勒-伯努利纳米束的动态稳定性.
将非局部应变梯度理论 (NSGT) 和表面效应 (Gurtin-Murdoch理论) 纳入其中.
确定基础特性和NSGT参数对动态不稳定区域 (DIR) 的影响.

主要方法:

利用能量方法和汉密尔顿原理来导出控制方程.
采用增量和平衡方法 (IHBM) 来确定动态不稳定的地区.
对NSGT参数,基础常数和纳米粒子速度进行了参数研究.

主要成果:

识别了非局部应变梯度理论和对纳米光束稳定的表面效应的显著影响.
证明温克勒基础常数对DIR的影响大于帕斯特纳克常数.
展示了2T期DIR与T期DIR相比的重要性.

结论:

该研究提供了对纳米光束动态稳定性的关键见解,这对于先进的材料应用至关重要.
基础刚度和非局部/表面效应是控制纳米光束动态行为的关键设计参数.
增加材料长度尺度参数增强了纳米光束的稳定性,将DIR转向更安全的操作速度.

关键词:

动态稳定性动态稳定性在EBT上,EBT是EBT.汉密尔顿的原则汉密尔顿的原则在IHBM的基础上.移动的纳米粒子非局部应变梯度理论非局部应变梯度理论表面效应是一种表面效应.

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