本文關(guān)鍵詞：功能梯度圓筒在力學(xué)荷載作用下的理論與數(shù)值分析　出處：《北京交通大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

  更多相關(guān)文章： 功能梯度圓筒 Voigt方法 體積分數(shù) 解析解 數(shù)值分析 ANSYS模擬

【摘要】：功能梯度材料(FGM)是一種采用了先進的復(fù)合技術(shù),使得其組成和結(jié)構(gòu)沿著厚度的方向呈現(xiàn)梯度的變化的材料。這種材料能夠減少應(yīng)力集中,改善應(yīng)力分布,增強抗熱性。功能梯度材料因其良好的熱-力學(xué)性能被廣泛應(yīng)用于航天工程、電磁工程、土木工程、機械工程、生物工程、核工程,光電工程等領(lǐng)域。而梯度圓筒結(jié)構(gòu)是一種典型的具有軸對稱特征的構(gòu)件,常應(yīng)用于航天、機械、石油天然氣、土木建筑等工程領(lǐng)域,比如發(fā)動機的汽缸、燃氣管道、輸流管道、壓力容器等等。 本文對由按特定體積分數(shù)下的兩相材料組成的線彈性圓筒模型進行了熱-力學(xué)分析�；趶�(fù)合材料的細觀力學(xué)方法,采用Voigt等應(yīng)變理論,對功能梯度圓筒進行了受熱荷載下和受內(nèi)壓下的彈性理論和數(shù)值分析。主要內(nèi)容如下： 1、利用復(fù)合材料細觀力學(xué)方法,引入某一體積分數(shù),分別考慮兩相材料的應(yīng)力,認為總體材料的平均應(yīng)力是由兩相材料應(yīng)力平均得到,并以此求解出了的功能梯度圓筒材料的受熱和受內(nèi)壓的彈性理論解析解；在求解過程中,給出了不同邊界的熱傳導(dǎo)方程,借助超幾何級數(shù),最終求得FGM圓筒受熱及受內(nèi)壓的彈性理論解。 2、基于有限元軟件ANSYS,建立分層圓筒模型,每層圓筒均由A、B兩相材料復(fù)合而成。分別對圓筒模型施加熱荷載和內(nèi)壓,計算出其應(yīng)力應(yīng)變數(shù)值解,并與解析解相比較,驗證解析解的正確性。還通過調(diào)整兩相材料參數(shù)比,泊松比和以及體積分數(shù)中的參數(shù),分析了其應(yīng)力應(yīng)變的變化行為。
[Abstract]:FGM (functional gradient material) is a kind of material which uses advanced composite technology to make its composition and structure gradient along the direction of thickness. This material can reduce stress concentration. FGM is widely used in aerospace engineering, electromagnetic engineering, civil engineering, mechanical engineering, biological engineering, nuclear engineering because of its good thermo-mechanical properties. The gradient cylinder structure is a typical axisymmetric component, which is often used in aerospace, machinery, oil and gas, civil construction and other engineering fields, such as engine cylinder. Gas pipeline, flow pipeline, pressure vessel, etc. In this paper, the thermo-mechanical analysis of a linear elastic cylinder model consisting of two-phase materials with specific volume fraction is carried out. Based on the meso-mechanical method of composite materials, the Voigt iso-strain theory is adopted. The elastic theory and numerical analysis of functionally graded cylinder under thermal load and internal pressure are carried out. The main contents are as follows: 1. By introducing a certain volume fraction and considering the stress of the two-phase material, it is considered that the average stress of the whole material is obtained from the average stress of the two-phase material. The analytical solutions of the thermal and internal pressure of functionally gradient cylindrical materials are obtained. In the process of solving, the heat conduction equations with different boundaries are given. With the help of hypergeometric series, the elastic solution of the FGM cylinder subjected to heat and internal pressure is finally obtained. 2. Based on the finite element software ANSYS, the layered cylinder model is established. Each layer cylinder is composed of AZB two-phase material. The cylinder model is subjected to heating load and internal pressure respectively. The numerical solution of stress and strain is calculated and compared with the analytical solution to verify the correctness of the analytical solution. The parameters of the two-phase material ratio Poisson's ratio and volume fraction are adjusted. The variation behavior of stress and strain is analyzed.
【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：TB33;TB34

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本文編號：1406340