發(fā)布時間：2018-07-10 09:19

  本文選題：平面運動鏈 + 胚圖綜合��； 參考：《燕山大學》2011年碩士論文

【摘要】：機構的結構類型綜合在機械創(chuàng)新設計中處于基礎地位,它不僅可以對已經(jīng)存在的機構結構進行優(yōu)化,使其更加合理,而且更重要的是可以發(fā)明、創(chuàng)造出新型機構。拓撲胚圖與拓撲圖在表示機構拓撲結構時各有優(yōu)勢,基于給定平面運動鏈的構件數(shù)和自由度,構造出統(tǒng)一的數(shù)學模型,然后綜合其不含同構的拓撲胚圖以及不含同構和消極子鏈的拓撲圖,最后將綜合結果通過開發(fā)的軟件以圖形的形式呈現(xiàn)出來,具有非常重要的理論和實際意義。 本文首先簡述了平面運動鏈的拓撲圖以及拓撲胚圖的相關定義,介紹了圖形的同構和消極子鏈的概念及其判別過程中用到的邊環(huán)路基礎知識。然后提出了綜合拓撲胚圖的數(shù)學模型及其求解算法,并將拓撲圖的同構判別原理經(jīng)過改進,成功的運用到胚圖的同構判別過程中,通過求解綜合方程組并且將得到的解集進行同構判別和可分離判別,生成了不含同構的特征鄰接矩陣,進而將其轉化為非可分離的規(guī)范周長拓撲胚圖。 基于拓撲胚圖,運用一定的規(guī)則將2度點插入到胚圖中,然后經(jīng)過同構判別和消極子鏈判別就可以得到胚圖對應的拓撲圖。通過循環(huán)運算,生成了給定構件分類數(shù)組對應的所有拓撲圖。本文改進了同構判別和消極子鏈判別的方法,使計算時間明顯縮短,平均綜合時間縮短近2秒,并且綜合的運動鏈的構件數(shù)也大大增加,由原來的16桿增加到20桿。 運用Visual C++6.0軟件開發(fā)平臺,基于上述理論開發(fā)了一套綜合的軟件。該軟件只需輸入構件數(shù)和自由度數(shù),就可以綜合其對應的所有運動鏈的拓撲胚圖和拓撲圖。作者運用此軟件已經(jīng)綜合出來18桿以內(nèi)所有自由度以及20桿以內(nèi)部分自由度的不可分離的拓撲胚圖,并且綜合出來了15桿以內(nèi)所有自由度以18桿以內(nèi)部分自由度的不可分離的拓撲圖。
[Abstract]:The structure type synthesis of the mechanism is in the basic position in the mechanical innovation design. It can not only optimize the existing structure, make it more reasonable, but also be more important to invent and create a new type of mechanism. The topology embryo map and topological graph have advantages in expressing the structure of the mechanism, based on a given plane motion chain. The number of components and the degree of freedom, construct a unified mathematical model, and then synthesize its unisomorphic topological embryo map and topological graph without isomorphism and negative subchain. Finally, the comprehensive results are presented in the form of the software developed in the form of graphics, which has very important theoretical and practical significance.
In this paper, the topological graph of plane motion chain and the definition of topological embryo map are briefly introduced. The concept of the isomorphism and negative subchain of the graph and the basic knowledge of the boundary loop are introduced. Then the mathematical model of the comprehensive topological embryo graph and its solving algorithm are put forward, and the principle of the isomorphism discrimination of the topological graph is improved. It is successfully applied to the isomorphic discriminant process of the embryo map. By solving the integrated equation set and the isomorphic discrimination and separation discrimination, the isomorphic feature adjacency matrix is generated, and then it is converted into a non separable normalized topological embryo map of the circumference.
Based on topological embryo map, the 2 degree point is inserted into the embryo map with certain rules, and then the topological graph corresponding to the embryo map can be obtained through the isomorphism discrimination and the negative subchain discrimination. Through the cyclic operation, all the topological graphs of the classified array of given components are generated. The time is obviously shortened, the average synthesis time is shortened by nearly 2 seconds, and the number of components of the integrated kinematic chain is also greatly increased, from the original 16 bar to 20 rods.
Using the Visual C++6.0 software development platform, a set of integrated software is developed on the basis of the above theory. The software only needs to input the number of components and the degree of freedom, and the topology and topology map of all the corresponding kinematic chains can be synthesized. The author uses this software to integrate 18 poles with all freedom within and within 20 bars within part of freedom. The topological graph of the degree of separation can be separated, and the non separable topological graph of all degrees of freedom within 15 rods with 18 degrees of freedom is synthesized.
【學位授予單位】：燕山大學
【學位級別】：碩士
【學位授予年份】：2011
【分類號】：TH112

【引證文獻】

相關碩士學位論文 前1條

1 王文佳;混聯(lián)式網(wǎng)狀拓撲構型機器人的自動綜合及創(chuàng)新設計[D];燕山大學;2012年

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本文編號：2112919