基于齊次變換修正矩陣的剛?cè)峄旌夏Ｐ凸罘治?/H1>
發(fā)布時(shí)間：2018-12-09 14:54
【摘要】：在零件的加工生產(chǎn)過(guò)程中,其尺寸誤差以及形狀偏差是不可避免的。裝配過(guò)程中,這些偏差經(jīng)過(guò)累積、疊加后,對(duì)裝配產(chǎn)品的工作性能、外觀質(zhì)量產(chǎn)生著不容忽視的影響。裝配精度是產(chǎn)品質(zhì)量保障的核心之一,公差分析是尺寸工程的重要環(huán)節(jié)之一,它可以有效的縮短產(chǎn)品的研發(fā)周期,在保證質(zhì)量的同時(shí)降低生產(chǎn)成本。零件公差設(shè)計(jì)的合理性直接影響著裝配偏差和制造成本,所以在設(shè)計(jì)階段進(jìn)行公差分析、裝配質(zhì)量驗(yàn)證有重要的意義�，F(xiàn)行的公差分析方法大都是僅針對(duì)剛性件或柔性件,以工程領(lǐng)域中大量應(yīng)用的剛?cè)峄旌夏Ｐ蜑檠芯繉?duì)象的公差分析方法尚處在起步階段。如何在現(xiàn)有方法的基礎(chǔ)上,結(jié)合剛?cè)峄旌夏Ｐ偷淖陨硖攸c(diǎn),建立統(tǒng)一有效的公差分析體系,準(zhǔn)確的預(yù)測(cè)關(guān)鍵尺寸的分布情況,是公差技術(shù)中急需深入探索的問(wèn)題。本文針對(duì)現(xiàn)有計(jì)算機(jī)輔助公差技術(shù)應(yīng)用范圍的局限性,研究了剛?cè)峄旌夏Ｐ偷墓罘治黾夹g(shù),提出了基于齊次變換修正矩陣的公差分析方法;建立了基于蒙特卡洛的敏感度分析方法。本文的主要內(nèi)容包括以下幾個(gè)方面:(1)總結(jié)了計(jì)算機(jī)輔助公差技術(shù)的發(fā)展過(guò)程、國(guó)內(nèi)外研究現(xiàn)狀。介紹了課題的研究背景和研究意義。(2)介紹了 基于新一代 GPS(Geometrical Product Specifications)的公差技術(shù)。分析產(chǎn)品、零件、特征之間的關(guān)系,將公差表示為特征的變動(dòng),借助SDT(Small Displacement Torsor)理論,實(shí)現(xiàn)了公差建模,并將產(chǎn)品內(nèi)部的裝配關(guān)系簡(jiǎn)化為特征間的約束關(guān)系。(3)建立了基于齊次變換修正矩陣的剛?cè)峄旌夏Ｐ凸罘治龇椒�。將剛�(cè)峄旌夏Ｐ偷睦硐胛蛔�、公差域表示為矩陣形�?借助齊次變換進(jìn)行公差累積。使用有限元模擬裝配變形,將仿真結(jié)果表示為修正矩陣,對(duì)原有的偏差累積路徑進(jìn)行修正,從而實(shí)現(xiàn)了對(duì)剛?cè)峄旌夏Ｐ完P(guān)鍵尺寸的精確預(yù)測(cè)。(4)建立了基于蒙特卡洛的敏感度分析方法。以敏感度是關(guān)鍵尺寸相對(duì)偏差源的變化程度為理論基礎(chǔ),將公差域分為若干個(gè)微小量,計(jì)算偏差源微小量引起的關(guān)鍵尺寸的變化,敏感度的值等于兩者變化的商。多次計(jì)算后,用平均值來(lái)代表最終的敏感度的值,用MATLAB編程來(lái)實(shí)現(xiàn)整個(gè)計(jì)算過(guò)程。(5)以汽車底盤裝配體為例,用基于齊次變換修正矩陣的剛?cè)峄旌夏Ｐ凸罘治龇椒ㄒ约盎诿商乜宓拿舾卸确治龇椒ㄟM(jìn)行計(jì)算,并用3DCS軟件驗(yàn)證所提方法的可行性和有效性。
[Abstract]:In the process of machining and production of parts, the error of dimension and shape is inevitable. In the assembly process, these deviations are accumulated and superimposed, which have a great influence on the working performance and appearance quality of the assembly products. Assembly accuracy is one of the core of product quality assurance, tolerance analysis is one of the important links of dimension engineering, it can effectively shorten the product research and development cycle and reduce the production cost while ensuring the quality. The rationality of part tolerance design directly affects the assembly deviation and manufacturing cost, so it is of great significance to carry out tolerance analysis and assembly quality verification in the design stage. Most of the existing tolerance analysis methods are only for rigid or flexible parts. The tolerance analysis method based on the rigid-flexible mixed model which is widely used in engineering field is still in its infancy. How to establish a unified and effective tolerance analysis system and accurately predict the distribution of key dimensions on the basis of existing methods combined with the characteristics of rigid-flexible mixed model is an urgent problem in tolerance technology. In view of the limitation of the existing computer-aided tolerance technology, the tolerance analysis technique of rigid-flexible mixed model is studied, and a tolerance analysis method based on homogeneous transformation correction matrix is proposed. A sensitivity analysis method based on Monte Carlo is established. The main contents of this paper are as follows: (1) the development process of computer aided tolerance technology and the research status at home and abroad are summarized. The research background and significance are introduced. (2) tolerance technology based on new generation GPS (Geometrical Product Specifications) is introduced. By analyzing the relationship among products, parts and features, the tolerance is expressed as the change of feature, and the tolerance modeling is realized with the help of SDT (Small Displacement Torsor) theory. The assembly relationship within the product is simplified as the constraint relationship between the features. (3) A tolerance analysis method for the rigid-flexible mixed model based on the homogeneous transformation correction matrix is established. In this paper, the ideal position and attitude of the rigid-flexible mixed model are expressed as matrix form, and the tolerance accumulation is carried out by means of homogeneous transformation. The assembly deformation is simulated by finite element method, and the simulation result is expressed as a modified matrix, which modifies the original cumulative path of deviation. Thus the key dimensions of the rigid-flexible hybrid model are accurately predicted. (4) sensitivity analysis method based on Monte Carlo is established. Based on the theory that sensitivity is the change degree of relative deviation source of critical size, the tolerance region is divided into several small quantities, and the variation of key dimension caused by small deviation source is calculated. The value of sensitivity is equal to the quotient of both changes. After many calculations, the average value is used to represent the final sensitivity value, and the whole calculation process is realized by MATLAB programming. (5) taking the automobile chassis assembly as an example, The tolerance analysis method of rigid-flexible mixed model based on homogeneous transformation correction matrix and sensitivity analysis method based on Monte Carlo are used to calculate. The feasibility and validity of the proposed method are verified by 3DCS software.
【學(xué)位授予單位】：山東大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TG801
【參考文獻(xiàn)】
相關(guān)期刊論文 前10條
1 唐健鈞;田錫天;耿俊浩;劉海濤;張世炯;;基于多維矢量環(huán)的裝配偏差源敏感度分析[J];機(jī)械工程學(xué)報(bào);2015年17期
2 周玲華;余德忠;徐向~，
本文編號(hào)：2369567
本文鏈接：http://sikaile.net/kejilunwen/jiagonggongyi/2369567.html
[Abstract]:In the process of machining and production of parts, the error of dimension and shape is inevitable. In the assembly process, these deviations are accumulated and superimposed, which have a great influence on the working performance and appearance quality of the assembly products. Assembly accuracy is one of the core of product quality assurance, tolerance analysis is one of the important links of dimension engineering, it can effectively shorten the product research and development cycle and reduce the production cost while ensuring the quality. The rationality of part tolerance design directly affects the assembly deviation and manufacturing cost, so it is of great significance to carry out tolerance analysis and assembly quality verification in the design stage. Most of the existing tolerance analysis methods are only for rigid or flexible parts. The tolerance analysis method based on the rigid-flexible mixed model which is widely used in engineering field is still in its infancy. How to establish a unified and effective tolerance analysis system and accurately predict the distribution of key dimensions on the basis of existing methods combined with the characteristics of rigid-flexible mixed model is an urgent problem in tolerance technology. In view of the limitation of the existing computer-aided tolerance technology, the tolerance analysis technique of rigid-flexible mixed model is studied, and a tolerance analysis method based on homogeneous transformation correction matrix is proposed. A sensitivity analysis method based on Monte Carlo is established. The main contents of this paper are as follows: (1) the development process of computer aided tolerance technology and the research status at home and abroad are summarized. The research background and significance are introduced. (2) tolerance technology based on new generation GPS (Geometrical Product Specifications) is introduced. By analyzing the relationship among products, parts and features, the tolerance is expressed as the change of feature, and the tolerance modeling is realized with the help of SDT (Small Displacement Torsor) theory. The assembly relationship within the product is simplified as the constraint relationship between the features. (3) A tolerance analysis method for the rigid-flexible mixed model based on the homogeneous transformation correction matrix is established. In this paper, the ideal position and attitude of the rigid-flexible mixed model are expressed as matrix form, and the tolerance accumulation is carried out by means of homogeneous transformation. The assembly deformation is simulated by finite element method, and the simulation result is expressed as a modified matrix, which modifies the original cumulative path of deviation. Thus the key dimensions of the rigid-flexible hybrid model are accurately predicted. (4) sensitivity analysis method based on Monte Carlo is established. Based on the theory that sensitivity is the change degree of relative deviation source of critical size, the tolerance region is divided into several small quantities, and the variation of key dimension caused by small deviation source is calculated. The value of sensitivity is equal to the quotient of both changes. After many calculations, the average value is used to represent the final sensitivity value, and the whole calculation process is realized by MATLAB programming. (5) taking the automobile chassis assembly as an example, The tolerance analysis method of rigid-flexible mixed model based on homogeneous transformation correction matrix and sensitivity analysis method based on Monte Carlo are used to calculate. The feasibility and validity of the proposed method are verified by 3DCS software.
【學(xué)位授予單位】：山東大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類號(hào)】：TG801
【參考文獻(xiàn)】
相關(guān)期刊論文 前10條
1 唐健鈞;田錫天;耿俊浩;劉海濤;張世炯;;基于多維矢量環(huán)的裝配偏差源敏感度分析[J];機(jī)械工程學(xué)報(bào);2015年17期
2 周玲華;余德忠;徐向~，
本文編號(hào)：2369567
本文鏈接：http://sikaile.net/kejilunwen/jiagonggongyi/2369567.html
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