【摘要】：典型L形型材廣泛應(yīng)用于薄壁梁結(jié)構(gòu)及框架結(jié)構(gòu)中,在L形型材的有限元分析中通常采用的單根L形截面梁建模方法與實(shí)體結(jié)構(gòu)存在一定的誤差,提高L形型材的建模精度和計算效率對整體結(jié)構(gòu)振動特性研究有重要意義。本文首先用兩種不同的實(shí)體單元、殼單元和梁單元對典型L形型材進(jìn)行了建模分析,發(fā)現(xiàn)忽略倒角及采用單一的殼單元和梁單元建模的模型質(zhì)量不好,這是由于單一的殼單元和梁單元模型不能準(zhǔn)確地模擬倒角的形狀。在倒角處加上另一個垂直于“橋”的殼單元支撐“橋”,建立了以殼單元為基礎(chǔ)的等效殼單元模型。針對單位長度截面微段,通過使自重下等效模型截面與真實(shí)截面的變形相同,根據(jù)結(jié)構(gòu)力學(xué)中力法的相關(guān)原理對等效模型的相關(guān)參數(shù)進(jìn)行了詳細(xì)的推導(dǎo),確定了仿真建模所需的殼單元厚度的參數(shù)。采用推導(dǎo)得到的殼單元參數(shù)建立了三維的等效殼單元模型,通過頻率分析得到了等效殼單元模型前51階頻率,并與細(xì)節(jié)體單元模型的頻率誤差進(jìn)行了對比分析,前10階模態(tài)頻率誤差控制在3%以內(nèi)。然后研究了漸進(jìn)結(jié)構(gòu)拓?fù)鋬?yōu)化理論在幾種典型平面應(yīng)力梁結(jié)構(gòu)應(yīng)力分析中的應(yīng)用,經(jīng)過反復(fù)的有限元分析和單元刪除循環(huán),直到達(dá)到穩(wěn)態(tài),得到滿應(yīng)力結(jié)構(gòu)。為進(jìn)一步通過拓?fù)鋬?yōu)化理論分析L形型材提供了參考依據(jù)。最后基于對L形型材的螺栓聯(lián)接結(jié)構(gòu)相關(guān)參數(shù)分析對L形型材的螺栓聯(lián)接建模方法進(jìn)行了研究。
[Abstract]:Typical L-shaped profiles are widely used in thin-wall beam structures and frame structures. There are some errors between the single L-section beam modeling method and the solid structure commonly used in the finite element analysis of L-shaped profiles. It is of great significance to improve the modeling accuracy and calculation efficiency of L-shaped profiles for the study of vibration characteristics of the whole structure. In this paper, two different solid elements, shell element and beam element, are used to model and analyze the typical L-shaped profile, and it is found that the quality of the model which ignores chamfer and adopts a single shell element and beam element is not good. This is due to the fact that the single shell element and beam element model can not accurately simulate the shape of chamfer. An equivalent shell element model based on shell element is established by adding another shell element perpendicular to the "bridge" to support the "bridge" at the chamfer. Aiming at the microsection of unit length section, the related parameters of the equivalent model are deduced in detail according to the related principle of force method in structural mechanics by making the deformation of the equivalent model section and the real section the same under the self-weight. The parameters of shell element thickness needed for simulation modeling are determined. A three-dimensional equivalent shell element model is established by using the derived shell element parameters, and the frequency of the first 51 order of the equivalent shell element model is obtained by frequency analysis, and the frequency error is compared with that of the detailed element model. The first 10 order modal frequency error is controlled within 3%. Then the application of progressive structure topology optimization theory in the stress analysis of several typical plane stress beams is studied. after repeated finite element analysis and element deletion cycle, the full stress structure is obtained until the steady state is reached. It provides a reference for further analysis of L-shaped profiles through topology optimization theory. Finally, based on the analysis of the related parameters of bolt connection structure of L-shaped profile, the modeling method of bolt connection of L-shaped profile is studied.
【學(xué)位授予單位】：南京航空航天大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2014
【分類號】：TB12

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