本文選題：充流碳納米管 + 非局部應力/應變梯度耦合��； 參考：《昆明理工大學》2017年碩士論文

【摘要】：碳納米管的力學性能分析,隨著納米科學和工程的發(fā)展,逐步成為研究熱點。研究碳納米管力學特性的跨尺度連續(xù)介質(zhì)彈性模型,主要以非局部應力模型和應變梯度模型為主。這兩種模型在分析碳納米管各項力學性能時,展現(xiàn)出不同的特點,也都存在不足。本文應用Lim提出的非局部應力/應變梯度耦合理論,討論分析充流碳納米管系統(tǒng)的各項動力學特性。首先,本文結合學科和工程技術領域的發(fā)展,討論了碳納米管的研究背景、結構特點、力學特性和應用前景。接下來總結了當前碳納米管力學特性的研究方法。然后本文在非局部應力/應變梯度耦合理論的基礎上,結合流體滑移邊界理論,分別根據(jù)經(jīng)典歐拉梁模型和鐵木辛柯梁理論,建立了兩種考慮流體和固體小尺度效應的充流單壁碳納米管流固耦合動力學模型。以非局部應力效應、應變梯度效應和流體滑移邊界效應模擬碳納米管(固體部分)和管腔內(nèi)流體(流體部分)微觀小尺度效應對系統(tǒng)的影響,推導得出充流單壁碳納米管歐拉梁和鐵木辛柯梁模型的波動控制方程。通過對控制方程的求解,分析材料不同類型尺度效應對充流碳納米管的振動和波動特性影響規(guī)律�；跉W拉梁模型的充流單壁碳納米管波動分析結果顯示:應變梯度效應和流體邊界效應對低頻波動起促進作用,對高頻波動起阻尼作用,應力非局部效應則對波動始終產(chǎn)生阻尼作用。三種尺度效應對低流速系統(tǒng)的振動有促進作用,而對高流速系統(tǒng)產(chǎn)生阻尼作用。而基于鐵木辛柯梁模型的波動分析結果顯示:應力非局部效應和流體的滑移邊界效應對振動會產(chǎn)生阻尼作用;而應變梯度效應會促進系統(tǒng)的振動和波動。
[Abstract]:With the development of nanoscience and engineering, the mechanical properties analysis of carbon nanotubes has gradually become a hotspot. The non-local stress model and strain gradient model are the main models for studying the mechanical properties of carbon nanotubes in cross-scale continuum media. When analyzing the mechanical properties of carbon nanotubes, the two models show different characteristics and shortcomings. In this paper, the nonlocal stress-strain gradient coupling theory proposed by Lim is applied to discuss and analyze the dynamic characteristics of the flow filled carbon nanotubes (CNTs) system. Firstly, the research background, structural characteristics, mechanical properties and application prospect of carbon nanotubes are discussed in this paper. Then the research methods of mechanical properties of carbon nanotubes are summarized. Then, based on the non-local stress / strain gradient coupling theory and the fluid slip boundary theory, the classical Euler beam model and the Temocco beam theory are used, respectively. Two kinds of fluid-solid coupling kinetic models for single-walled carbon nanotubes filled with fluid and solid were established. The effects of micro-scale effects of carbon nanotubes (solid parts) and in-tube fluids (fluid parts) on the system were simulated by non-local stress effect, strain gradient effect and fluid slip boundary effect. The wave governing equations of Euler beam and Temocco beam are derived. By solving the governing equation, the effects of different types of scale effects on the vibration and wave characteristics of filled carbon nanotubes are analyzed. The wave analysis of single-walled carbon nanotubes filled with Eulerian beam model shows that the strain gradient effect and the fluid boundary effect promote the low frequency wave and damp the high frequency wave. The stress nonlocal effect always has damping effect on the wave. The three scale effects can promote the vibration of the low velocity system and have damping effect on the high velocity system. The results of wave analysis based on the Temuxinko beam model show that the non-local stress effect and the slip boundary effect of fluid will have damping effect on the vibration, while the strain gradient effect will promote the vibration and wave of the system.
【學位授予單位】：昆明理工大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TQ127.11;TB383.1

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相關博士學位論文 前1條

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本文編號：1917263