基于有限元法的平面包絡(luò)環(huán)面蝸桿副的力學(xué)特性研究
本文選題:平面包絡(luò)環(huán)面蝸桿副 + 建模 ; 參考:《重慶大學(xué)》2011年碩士論文
【摘要】:平面包絡(luò)環(huán)面蝸桿傳動(dòng)副是被廣泛應(yīng)用的齒輪傳動(dòng),具有承載能力強(qiáng),耐磨損,壽命長(zhǎng)的特點(diǎn),能適應(yīng)高速重載的工作要求。但是目前其強(qiáng)度設(shè)計(jì)方法還不成熟,還沒(méi)有被學(xué)界廣泛接受的強(qiáng)度設(shè)計(jì)公式。本文研究平面包絡(luò)環(huán)面蝸桿副的齒間載荷分布規(guī)律,以及接觸載荷沿接觸線的分布規(guī)律等力學(xué)特性,對(duì)于今后建立平面包絡(luò)環(huán)面蝸桿副的強(qiáng)度設(shè)計(jì)公式打下了基礎(chǔ)。 本文基于齒輪嚙合原理、計(jì)算機(jī)輔助設(shè)計(jì)、齒輪接觸分析、非線性有限元分析理論,以計(jì)算機(jī)輔助設(shè)計(jì)和有限元分析為手段,提出了便于工程應(yīng)用的平面包絡(luò)環(huán)面蝸桿副三維實(shí)體的建模方法,并對(duì)平面包絡(luò)環(huán)面蝸桿傳動(dòng)的接觸力學(xué)性能進(jìn)行了深入細(xì)致的研究。 論文的主要研究?jī)?nèi)容如下: ①基于齒輪嚙合原理,推導(dǎo)了平面一次包絡(luò)環(huán)面蝸桿副的接觸線方程,和蝸桿的齒面方程,并建立了精確的平面一次包絡(luò)環(huán)面蝸桿副的三維實(shí)體模型。根據(jù)蝸桿齒面為直紋曲面的特點(diǎn),提出了一種新的建模思路,利用UG可以高效地建立精確的蝸桿模型。 ②研究了平面二次包絡(luò)環(huán)面蝸桿副的三維實(shí)體建模方法。以齒輪加工中的范成法為理論基礎(chǔ),提出了用虛擬加工法來(lái)建立蝸輪模型的方法。利用UG的二次開(kāi)發(fā)語(yǔ)言GRIP,開(kāi)發(fā)了用于建立平面二次包絡(luò)環(huán)面蝸輪的程序,可以方便地完成平面二次包絡(luò)環(huán)面蝸桿副的三維實(shí)體建模。 ③基于非線性有限單元法,研究了平面一次包絡(luò)蝸桿副的力學(xué)性能。發(fā)現(xiàn)接觸載荷從嚙入到嚙出過(guò)程是逐漸減小的。本文還研究了母平面傾角β對(duì)于齒間接觸載荷分布的影響,發(fā)現(xiàn)在蝸桿齒面不出現(xiàn)非嚙合區(qū)的前提下,β較大時(shí)載荷分布更均勻。 ④利用自適應(yīng)網(wǎng)格重劃技術(shù),研究了平面一次包絡(luò)環(huán)面蝸桿副的接觸載荷沿接觸線的分布規(guī)律。接觸線兩端的載荷較大,而占較大區(qū)域的中部載荷較小,而且分布均勻。 ⑤基于非線性有限單元法,研究了平面二次包絡(luò)環(huán)面蝸桿副的力學(xué)性能。發(fā)現(xiàn)與一次包絡(luò)相同,接觸載荷從嚙入到嚙出是逐漸變小的。每對(duì)輪齒都是雙線接觸,接觸線兩端的接觸載荷較大,而接觸線上的其他部分接觸載荷相對(duì)較小,而且分布比較均勻。
[Abstract]:The planar enveloping toroidal worm gearing is widely used in gear transmission. It has the characteristics of strong bearing capacity, wear resistance, long life, and can meet the requirements of high speed and heavy load. However, the strength design method is not mature, and there is no widely accepted strength design formula. In this paper, the distribution law of load between teeth and the distribution of contact load along the contact line of the planar enveloping toroidal worm pair are studied, which lays a foundation for the establishment of the strength design formula of the planar enveloping toroidal worm pair in the future. This paper is based on the theory of gear meshing, computer aided design, gear contact analysis, nonlinear finite element analysis and computer aided design and finite element analysis. A 3D solid modeling method for planar enveloping toroidal worm gearing is presented, and the contact mechanical properties of planar enveloping toroidal worm gearing are studied in detail. The main contents of this paper are as follows: 1 based on the gear meshing principle, the contact line equation of the planar primary enveloping toroidal worm pair and the tooth surface equation of the worm are derived. An accurate three-dimensional solid model of a plane-one-order enveloping toroidal worm pair is established. According to the characteristic that the worm tooth surface is straight surface, a new modeling idea is put forward, and the accurate worm model can be established efficiently by using UG. 2 the 3D solid modeling method of planar quadratic enveloping toroidal worm pair is studied. Based on the model of gear machining, a method of establishing worm gear model by virtual machining method is presented in this paper. By using the secondary development language GRIPof UG, a program for the establishment of planar quadratic enveloping toroidal worm gear is developed. The 3D solid modeling of planar quadratic enveloping toroidal worm pair can be easily completed. 3 based on nonlinear finite element method, The mechanical properties of the planar primary enveloping worm pair are studied. It is found that the contact load decreases gradually from the process of entry to exit. The influence of the parent plane inclination 尾 on the contact load distribution between teeth is also studied. It is found that when 尾 is larger, the load distribution is more uniform when the worm tooth surface does not have a non-meshing region. 4 Adaptive mesh redrawing technique is used. The distribution of contact load along the contact line of a planar primary enveloping toroidal worm pair is studied. The load at the two ends of the contact line is larger, but the load in the middle of the contact line is small, and the distribution is even. 5 based on the nonlinear finite element method, the mechanical properties of the planar quadratic enveloping toroidal worm pair are studied. It is found that the contact load decreases gradually from entry to exit of the first envelope. Each pair of gear teeth is double-wire contact, the contact load at both ends of the contact line is larger, while the contact load on the other parts of the contact line is relatively small, and the distribution is relatively uniform.
【學(xué)位授予單位】:重慶大學(xué)
【學(xué)位級(jí)別】:碩士
【學(xué)位授予年份】:2011
【分類(lèi)號(hào)】:TH132.44
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