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  本文選題：產(chǎn)品幾何技術(shù)規(guī)范　切入點：三維偏差數(shù)學(xué)模型　出處：《大連理工大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：產(chǎn)品的設(shè)計質(zhì)量可以賦予產(chǎn)品質(zhì)量“先天性優(yōu)劣”的本質(zhì)特性。公差設(shè)計是一項保證產(chǎn)品質(zhì)量的重要技術(shù),也是決定產(chǎn)品加工成本的關(guān)鍵性因素。然而,在傳統(tǒng)的公差設(shè)計理論中,尺寸、形位公差及載荷的協(xié)同作用并沒有得到足夠的重視。本文基于新一代產(chǎn)品幾何技術(shù)規(guī)范(GPS)標(biāo)準(zhǔn)體系,以數(shù)字化的方法進行三維偏差數(shù)學(xué)建模,通過齊次坐標(biāo)變換法,提出一種綜合考慮尺寸、形位公差及零件受載協(xié)同作用的三維公差分析方法。主要研究內(nèi)容如下：(1)利用矢量坐標(biāo)描述空間物體的位置和姿態(tài),推導(dǎo)出物體空間位姿變動的表達式。通過引入4維列矢量描述物體空間位姿的方法,建立三維偏差空間傳遞模型的表達式。(2)將新一代GPS標(biāo)準(zhǔn)體系的幾何形體恒定度作為切入點,結(jié)合小位移旋量(SDT)理論,利用公差邊界與位姿旋量的數(shù)學(xué)關(guān)系作為約束條件,建立平面尺寸和圓柱尺寸三維公差數(shù)學(xué)模型；依據(jù)ASME中形位公差的定義,建立了平行度、平面度等形位公差的數(shù)學(xué)模型。(3)基于新一代GPS標(biāo)準(zhǔn)體系的認證表面模型,利用有限元法提取零件變形表面的節(jié)點數(shù)據(jù),通過特定的數(shù)學(xué)準(zhǔn)則擬合變形信息,獲取零件的擬合變形要素,建立零件受載變形的三維偏差數(shù)學(xué)模型。(4)利用齊次坐標(biāo)變換法把零件的制造及變形偏差嵌入到三維公差耦合累積模型中。在產(chǎn)品的設(shè)計階段,開展了零件剛性及柔性條件下三維公差分析方法的研究。(5)降低零件的制造成本,同時提高產(chǎn)品質(zhì)量是公差分析的重要目的。本文提出以田口方法正交表作為零件制造偏差分組的依據(jù),通過零件偏差匹配控制試驗,選出最優(yōu)的偏差匹配組合方案,實現(xiàn)保證產(chǎn)品質(zhì)量的目的。
[Abstract]:The essential characteristics of the design quality of the product can give the product quality "congenital quality". Tolerance design is an important technology to ensure product quality, is the key factor to the processing cost of the products. However, in the traditional theory of size tolerance design, shape, synergistic effect of tolerance and load and did not get enough pay attention. In this paper, based on the new generation geometrical product specification (GPS) standard system, 3D deviation mathematical modeling based on the digital method, the homogeneous coordinate transformation method, proposed a comprehensive consideration of the size, shape and position tolerances of parts and three-dimensional tolerance load synergy analysis method. The main contents are as follows: (1) the use of vector coordinates to describe the position and posture of spatial objects, spatial expressions derived object pose changes. The space position of objects is described through the introduction of the 4 dimensional column vector, three-dimensional partial The expression difference of spatial transfer model. (2) a new generation of GPS standard system of geometric constant degree as a starting point, combined with small displacement torsors (SDT) theory, using the mathematical relationship between the tolerance boundary and position of the screw as a constraint condition, a plane size and the size of cylindrical three dimensional mathematical model of tolerance basis; the definition of shape and position tolerance in ASME, established the mathematical model of parallelism, flatness and other tolerances. (3) certification of surface model in the new generation GPS standard system based on the extraction of surface deformation of parts node data using the finite element method, the deformation information through specific mathematical criterion fitting, fitting to get the deformation of the part elements of three-dimensional deviation mathematical model set up the part deformation under load. (4) by using the homogeneous coordinate transformation method of parts manufacturing and deformation into 3D tolerance deviation coupling model. In the accumulation stage of product design, carry out parts Study on the analytical method of rigid and flexible under the condition of three-dimensional tolerance. (5) reduce the manufacturing cost of parts, and improve the quality of products is an important objective of tolerance analysis. In this paper, by using Taguchi method of orthogonal table as manufacturing deviation are grouped on the basis, through the parts to control the experiment, deviation, deviation, the optimum combination scheme. Ensure the quality of the products.

【學(xué)位授予單位】：大連理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：TG801

【共引文獻】

相關(guān)期刊論文 前10條

1 汪雨萌;錢樺;譚月勝;周滿平;;五自由度采摘機械臂運動學(xué)通用算法應(yīng)用[J];安徽農(nóng)業(yè)科學(xué);2012年03期

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本文編號：1612256