本文選題：充流碳納米管 + 非局部應(yīng)力/應(yīng)變梯度耦合　； 參考：《昆明理工大學(xué)》2017年碩士論文

【摘要】：碳納米管的力學(xué)性能分析,隨著納米科學(xué)和工程的發(fā)展,逐步成為研究熱點(diǎn)。研究碳納米管力學(xué)特性的跨尺度連續(xù)介質(zhì)彈性模型,主要以非局部應(yīng)力模型和應(yīng)變梯度模型為主。這兩種模型在分析碳納米管各項(xiàng)力學(xué)性能時(shí),展現(xiàn)出不同的特點(diǎn),也都存在不足。本文應(yīng)用Lim提出的非局部應(yīng)力/應(yīng)變梯度耦合理論,討論分析充流碳納米管系統(tǒng)的各項(xiàng)動(dòng)力學(xué)特性。首先,本文結(jié)合學(xué)科和工程技術(shù)領(lǐng)域的發(fā)展,討論了碳納米管的研究背景、結(jié)構(gòu)特點(diǎn)、力學(xué)特性和應(yīng)用前景。接下來總結(jié)了當(dāng)前碳納米管力學(xué)特性的研究方法。然后本文在非局部應(yīng)力/應(yīng)變梯度耦合理論的基礎(chǔ)上,結(jié)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(yīng)的充流單壁碳納米管流固耦合動(dòng)力學(xué)模型。以非局部應(yīng)力效應(yīng)、應(yīng)變梯度效應(yīng)和流體滑移邊界效應(yīng)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(yīng)對(duì)系統(tǒng)的影響,推導(dǎo)得出充流單壁碳納米管歐拉梁和鐵木辛柯梁模型的波動(dòng)控制方程。通過對(duì)控制方程的求解,分析材料不同類型尺度效應(yīng)對(duì)充流碳納米管的振動(dòng)和波動(dòng)特性影響規(guī)律�；跉W拉梁模型的充流單壁碳納米管波動(dòng)分析結(jié)果顯示:應(yīng)變梯度效應(yīng)和流體邊界效應(yīng)對(duì)低頻波動(dòng)起促進(jìn)作用,對(duì)高頻波動(dòng)起阻尼作用,應(yīng)力非局部效應(yīng)則對(duì)波動(dòng)始終產(chǎn)生阻尼作用。三種尺度效應(yīng)對(duì)低流速系統(tǒng)的振動(dòng)有促進(jìn)作用,而對(duì)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(dòng)分析結(jié)果顯示:應(yīng)力非局部效應(yīng)和流體的滑移邊界效應(yīng)對(duì)振動(dòng)會(huì)產(chǎn)生阻尼作用;而應(yīng)變梯度效應(yīng)會(huì)促進(jìn)系統(tǒng)的振動(dòng)和波動(dòng)。
[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(xué)位授予單位】：昆明理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TQ127.11;TB383.1

【參考文獻(xiàn)】

相關(guān)博士學(xué)位論文 前1條

1 王禹;水分子在碳納米管中的分子動(dòng)力學(xué)模擬[D];復(fù)旦大學(xué);2012年

，

本文編號(hào)：1917263