本文選題：齒條齒根應力　切入點：折截面法　出處：《機械科學研究總院》2015年碩士論文

【摘要】：齒條特別是大模數(shù)齒條在重大工程裝備中的應用越來越多,而且模數(shù)也越來越大,如三峽升船機齒條模數(shù)高達62.67mm,然而目前尚無計算齒條齒根應力的精確計算方法�，F(xiàn)有標準多采用將齒條視為無窮大的漸開線齒輪的方法來計算齒條齒根應力,對于中小模數(shù)的齒條具有實用性和近似準確性,但當模數(shù)較大特別是大于50mm時,缺乏相應的試驗數(shù)據(jù)作為支撐,計算公式中的參數(shù)可能不再適用,嚴格意義上來說,現(xiàn)有標準己不適用大模數(shù)齒條齒根應力的準確計算。研究表明,對于齒根經(jīng)硬化處理的齒輪,裂紋萌發(fā)源可能會由齒根表面轉移到齒根次表面,因此齒根內(nèi)部的應力計算就顯得尤為重要。因此,對齒條齒根表面應力、齒根內(nèi)部應力的準確計算方法及齒條齒根應力測試技術的開發(fā)研究具有重要的理論價值和工程應用背景。本文主要研究內(nèi)容和結論有：(1)對齒根應力計算的平截面法、折截面法、有限元法進行了對比分析。研究表明：平截面法僅能計算齒根表面最大應力值；折截面法既能計算齒根表面應力值也能計算齒根內(nèi)部應力值,并且比平截面法有更高的準確性；有限元法能清晰的獲得輪齒的應力分布,可作為齒根應力分析的一個重要手段。(2)對現(xiàn)有折截面法計算模型進行修正。為考慮齒根圓角引起的應力集中對齒根應力分布的影響,本文引入應力滲透因子概念,采用積分方法推導出了齒根彎曲應力、齒根壓應力計算公式。并結合折截面法數(shù)學模型進一步分析了影響齒根應力計算準確性的若干因素。(3)齒條齒根過渡曲線上應力最大點處切線角的影響因素分析。對不同齒形角、齒根圓角半徑、模數(shù)、加載點位置、載荷大小的齒條進行有限元分析。研究表明：齒形角、齒根圓角半徑、加載點位置對齒根最大應力點的切線角有較大影響：模數(shù)、載荷大小對齒根最大應力點的切線角基本無影響。(4)齒輪齒條嚙合剛度對齒間載荷分配及最惡加載點的影響規(guī)律研究。對齒輪齒條嚙合過程的嚙合剛度進行分析,得出不同相位下的輪齒嚙合剛度。在考慮基節(jié)誤差的情況下,三峽升船機齒輪齒條的最惡加載點位于單齒嚙合上界點。(5)應力滲透因子的確定。采用試驗與相似理論相結合的方法計算應力滲透因子值,并通過有限元方法驗證了相似理論的正確性。(6)三峽升船機齒條齒根應力測試。根據(jù)試驗轉速和載荷控制策略確定測試齒的位置,并利用有限元對齒條齒根應力進行分析,得出三峽升船機齒條齒根應力分布規(guī)律,確定應變片的粘貼位置。(7)三峽升船機齒條齒根應力測試數(shù)據(jù)分析。根據(jù)齒根應力分布規(guī)律,確定有效齒根應力測試點。利用最小二乘法對試驗數(shù)據(jù)進行擬合,得出齒根應力與載荷的關系。將試驗測試值、折截面法計算值、有限元分析值進行對比分析。結果表明,齒根內(nèi)部應力折截面法計算值與有限元法結果基本吻合,齒根表面應力的折截面法計算值與實測值相差小于5%。上述研究表明,本文對三峽升船機的齒根應力測試方法是可行的。試驗和有限元分析的結果均表明本文提出的齒根應力折截面法修正計算模型是準確的。主要研究內(nèi)容和結論,為大模數(shù)齒條彎曲強度的進一步研究奠定了重要技術基礎。
[Abstract]:Rack especially large modulus rack is used more and more in great engineering projects, and the module is also growing, such as the Three Gorges ship lift rack modulus of up to 62.67mm, but there is no accurate calculation method of rack tooth root stress. The existing standard rack as infinite involute gear to calculate rack the root stress, practical and approximate accuracy for small modulus gear, but especially when the modulus is larger than 50mm, the lack of the corresponding test data as a support, may no longer be suitable for calculating the parameters in the formula, strictly speaking, the existing standard is not suit for accurate calculation of large modulus rack tooth root stress. The research shows that the root of the hardened gear crack source may be transferred by the adorable root surface to the root surface, so the root of internal stress calculation is particularly Important. Therefore, the rack tooth surface stress, accurate calculation method of tooth root stress and internal force test of root rack should develop technology has important theoretical value and application background. Main contents and conclusions of this paper are: (1) to calculate the stress on the tooth root cross section method, fold section method the finite element method are compared and analyzed. The results show that: the cross section method can only calculate the root surface of the maximum stress value; fold section method can calculate the tooth surface stress value can also be calculated root internal stress value, and it is more accurate than the plane cross section method; finite element method can obtain a clear tooth the stress distribution, can be used as the root should be an important means of analysis. (2) of the existing folding section calculation model was modified. In order to consider the fillet stress concentration caused by the effect of the stress distribution of the tooth root, this paper introduces the stress permeability for The concept, derived the tooth root bending stress using integral method, calculation formula of tooth root stress. And combined with some factors break section method mathematical model in order to analyze the influence of tooth root stress calculation accuracy. (3) gear tooth root transition curve on Influencing Factors of stress at the point of maximum tangential angle analysis of different tooth. Angle, fillet radius, modulus, loading position, loading rack for finite element analysis. The results show that: the tooth profile angle, fillet radius, the tangential load point on the root of the maximum stress point angle has great effect: the modulus, tangent load on the root of the maximum stress point angle has no effect. (4) study the influence on the load distribution between the teeth and the worst load point of the gear meshing stiffness of gear meshing process. The meshing stiffness of gear meshing analysis, obtained under different phase in consideration of stiffness. Basepitch error under the condition of the worst load point of Three Gorges ship lift gear rack is located in the upper bound of the single tooth meshing point. (5) determine the stress permeability factor. By using the method of test and similarity theory combined with the stress calculation of permeability factor value, and the correctness of the similarity theory is verified by finite element method. (6 The Three Gorges ship lift rack) root stress test. According to the test of speed and load control strategy to determine the test tooth position, and analyze the stress on the tooth rack using finite element, the Three Gorges ship lift rack tooth root stress distribution, strain gauge to determine the adhesive position. (7) Three Gorges ship lift rack tooth root stress analysis stress test data. According to the tooth root stress distribution, determine the effective root stress test. The experimental data were fitted using the least squares method, the tooth root stress and load. The test value, the calculated value discount section method, Comparative analysis of finite element analysis. The results showed that the root of the internal stress fracture section method calculation results and the finite element method is consistent with the calculated value is less than 5%., the study shows that the measured and fold section stress on the surface of root, the root of Three Gorges ship lift stress testing method is feasible. And the finite element analysis results show that the proposed root should be revised calculation model of stress section method is accurate. The main research contents and conclusions, and provide an important technical basis for further research on the bending strength of large modulus rack.

【學位授予單位】：機械科學研究總院
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：U642

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1 袁玉鵬;三峽升船機齒條彎曲應力計算方法及測試技術研究[D];機械科學研究總院;2015年

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本文編號：1700289