【摘要】：復(fù)合材料層合板殼是工程中使用非常廣泛的結(jié)構(gòu),因此出現(xiàn)大量關(guān)于層合板殼分析理論及損傷分析理論。擴(kuò)展逐層法結(jié)合了逐層法和擴(kuò)展有限單元法的優(yōu)勢,為復(fù)合材料層合結(jié)構(gòu)的損傷研究提供了一種精確的分析方法。但是在實(shí)際應(yīng)用中發(fā)現(xiàn),擴(kuò)展逐層法分析彎曲模型的收斂速度慢,尤其是在分析大彎曲變形問題時(shí),為了達(dá)到一定的精度要求需要?jiǎng)澐址浅＜?xì)的網(wǎng)格,因此將耗費(fèi)大量的計(jì)算時(shí)間。此外,對(duì)于復(fù)合材料層合板結(jié)構(gòu),由于分層和裂紋的出現(xiàn),彎曲模態(tài)時(shí)有發(fā)生。本文利用Wilson非協(xié)調(diào)技術(shù)在分析彎曲變形時(shí)的優(yōu)勢,提高擴(kuò)展逐層法的收斂速度。將Wilson非協(xié)調(diào)技術(shù)分別引入到擴(kuò)展有限單元、逐層法和擴(kuò)展逐層法中,建立了非協(xié)調(diào)擴(kuò)展有限單元法(IXFEM)、非協(xié)調(diào)逐層法(ILWM)和非協(xié)調(diào)擴(kuò)展逐層法(IXLWM)。通過大量的數(shù)值算例驗(yàn)證了本文建立的方法的正確性,并通過與原方法對(duì)比分析了本文方法的收斂性,同時(shí)根據(jù)Wilson非協(xié)調(diào)位移項(xiàng)的特點(diǎn),研究了非協(xié)調(diào)位移項(xiàng)不同的引入策略(引入方向和引入范圍)對(duì)收斂速度的影響,以及本文方法在不同彎曲變形程度下(含不同裂紋長度的矩形板,不同(邊長/厚度)比值的方板和球殼)的收斂性能。研究結(jié)果表明:對(duì)于彎曲問題,采用適當(dāng)?shù)姆菂f(xié)調(diào)位移項(xiàng)的添加策略,本文方法的收斂速度比原方法的收斂速度快。對(duì)于僅在局部發(fā)生彎曲變形的模型,局部添加的收斂效果比全局添加的收斂效果好。彎曲變形較大時(shí),局部添加和全局添加的收斂速度相接近但是前者的效率更高。分析僅在局部發(fā)生小彎曲變形的模型時(shí),在未發(fā)生彎曲變形區(qū)域添加的非協(xié)調(diào)自由度將導(dǎo)致計(jì)算結(jié)果偏大和振蕩。所以對(duì)于本文建立的三種方法,非協(xié)調(diào)位移項(xiàng)的添加原則為:僅添加在發(fā)生彎曲變形區(qū)域和發(fā)生彎曲變形的方向。
[Abstract]:Composite laminated plate and shell are widely used in engineering, so there are a lot of theories about laminated plate and shell analysis and damage analysis. The extended layer-by-layer method combines the advantages of the layer-by-layer method and the extended finite element method, and provides an accurate analysis method for the damage study of composite laminated structures. However, in practical application, it is found that the convergence rate of extended layer-by-layer analysis of bending model is slow, especially in the analysis of large bending deformation, in order to achieve a certain accuracy, it is necessary to divide very fine grid. As a result, it will take a lot of computing time. In addition, for composite laminated plates, bending modes occur from time to time due to delamination and cracks. In this paper, the advantages of Wilson nonconforming technique in analyzing bending deformation are used to improve the convergence speed of extended layer-by-layer method. The Wilson nonconforming technique is introduced into the extended finite element method, layer by layer method and extended layer by layer method, respectively. the nonconforming extended finite element method (IXFEM), nonconforming layer by layer method (ILWM) and the nonconforming extended layer by layer method (IXLWM). Are established. The correctness of the proposed method is verified by a large number of numerical examples, and the convergence of the proposed method is compared with the original method. At the same time, according to the characteristics of Wilson nonconforming displacement term, The influence of different introduction strategies of nonconforming displacement terms (introduction direction and range) on the convergence rate is studied, and the rectangular plates with different crack lengths under different bending deformation degrees are studied. Convergence performance of square plate and spherical shell with different side length / thickness ratio. The results show that the convergence speed of the proposed method is faster than that of the original method by using the appropriate strategy of adding nonconforming displacement terms for bending problems. For the model with only local bending deformation, the convergence effect of local addition is better than that of global addition. When the bending deformation is large, the convergence rate of local addition is close to that of global addition, but the efficiency of the former is higher. When the model with small bending deformation occurs only locally, the nonconforming degrees of freedom added in the region without bending deformation will lead to the calculation results being too large and oscillatory. Therefore, for the three methods established in this paper, the addition principle of nonconforming displacement term is: only in the bending deformation region and in the direction of bending deformation.
【學(xué)位授予單位】：中國民航大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TB33

【參考文獻(xiàn)】

相關(guān)期刊論文 前10條

1 吳錦武;薛曉理;彭文輝;;復(fù)合材料層合板聲功率及靈敏度研究[J];噪聲與振動(dòng)控制;2015年01期

2 吳錦武;趙龍勝;黃凌志;;基于分層理論的層合板結(jié)構(gòu)聲輻射模態(tài)傳感器設(shè)計(jì)[J];機(jī)械工程學(xué)報(bào);2014年03期

3 趙龍勝;吳錦武;趙飛;薛曉理;;復(fù)合材料簡支板固有頻率與振型分析[J];南昌航空大學(xué)學(xué)報(bào)(自然科學(xué)版);2013年02期

4 蘭立芳;文桂林;王艷廣;;一種基于廣義協(xié)調(diào)理論的Layerwise層合殼單元構(gòu)造方法[J];機(jī)械科學(xué)與技術(shù);2013年04期

5 ;Development of X-FEM methodology and study on mixed-mode crack propagation[J];Acta Mechanica Sinica;2011年03期

6 胡明勇;王安穩(wěn);;纖維增強(qiáng)粘彈性復(fù)合材料層合板的自由振動(dòng)和應(yīng)力分析[J];工程力學(xué);2010年08期

7 胡明勇;王安穩(wěn);姜偉;李魁彬;;復(fù)合材料層合板的動(dòng)力響應(yīng)和橫向應(yīng)力分析[J];船舶力學(xué);2008年05期

8 王安穩(wěn),李竹影,章向明;復(fù)合材料層合圓柱殼的動(dòng)力響應(yīng)與層間應(yīng)力[J];海軍工程大學(xué)學(xué)報(bào);2000年04期

9 孫秦,席德科,侯成義;變厚度多層介質(zhì)結(jié)構(gòu)的一種三維數(shù)值半解析方法[J];應(yīng)用力學(xué)學(xué)報(bào);1999年03期

10 張智舟，，何積范;考慮橫向剪切變形的反對(duì)稱角鋪設(shè)層合板的彎曲[J];復(fù)合材料學(xué)報(bào);1995年01期

本文編號(hào)：2481674