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ANSYS操作命令與參數(shù)化編程. 北京：機(jī)械工業(yè)出版社，2004年，第三版[24] 許文本 . 北京：機(jī)械工業(yè)出版社，1998年，第一版[25] 王新敏. 王新敏ANSYS講義，網(wǎng)址：ftp://[26] Litvin FL, Wang JC, Bossler RB. Application of facegear drives in helicopter transmissions [J]. Journal of Mechanical Design, Transactions of the ASME, 1994,116(3):672～676[27] 附錄1 外文翻譯附錄1 外文翻譯Finite Element Analysis of Large Spur Gear Tooth and RimWith and Without Web EffectsRavichandra Patchigolla and Yesh P. Singh Department of Mechanical Engineering amp。 Biomechanics The University of Texas at San AntonioAbstract A finite element modeling approach is developed for determining the effect of gear rim thickness on tooth bending stresses in large spur gears. These low addendum gears are used in cement plants, sugar mills, ball mills, coal mills, kilns, grinding mills, copper converters, and anode furnaces. A program is developed using ANSYS Parametric Design Language (APDL) to generate 1, 3, and 5 tooth segment finite element models of a large spur gear. A controlled meshing approach is used with free and mapped meshing capabilities of ANSYS to generate 2D model of the gear tooth with 4node (PLANE42) elements. As same configuration exists at all sections along the face width of the gear, the 2D models are extruded to obtain 3D models using 8node (SOLID45) elements. The controlled meshing approach employed here has the following advantages: it prevents high stress at the point of application of load, avoids too many elements in the low stressed region, and generates a fine mesh in the high stressed fillet region. This paper describes details of meshing and modeling techniques employed. Part II of this paper emphasizes on results of the finite element analyses and effect of rim thickness on gear tooth bending stresses. Introduction A number of researchers have worked on gear tooth failure and used experimental, analytical and numerical techniques to determine the stresses in the gear tooth. Most monly used experimental techniques include photoelastic and strain gages, and finite element method was the mostly used numerical technique. Photoelastic technique was widely used for many years. Baud and Timoshenko1 introduced the photoelastic technique to examine the stress concentration effect at the gear tooth fillets. Sopwith and Heywood used photoelastic technique to develop a fillet stress formula thaaccounted for some pressure angle unbalance. Kelly and Pederson improved this formula by employing more realistic tooth shapes in their photoelastic models. Drago and Luthans conducted experiments using and dimensional photo elastic techniques to evaluate the bined effects of rim thickness and gear pitch diameter on tooth root。and fillet stresses. They calculated stresses for the load applied at LPSTC, HPSTC and Pitch point along 附錄1 外文翻譯the tooth profile. The main drawback of this method is that the experimental investigation is time consuming and it is very difficult to construct and prepare the models for investigation. Many investigators have used different finite element approaches in evaluation of the gear tooth stresses for a long time. Wilcox and Coleman used analytical method of finite elements in analyzing the gear tooth stresses. Quadrilateral elements have generally been used in two dimensional models. In regions of anticipated high stress gradients they incorporated more elements and low densities in regions of low stress gradients. They developed a new stress formula based on the stresses obtained from finite element analysis, which takes tooth shape and loading condition into account to evaluate the tensile stress in the fillet region. Oda et al. analyzed the root stresses on the fillet of gear teeth as a two dimensional elastic problem by means of the FEM with typical triangular elements. They also measured these stresses experimentally with straingage method by carrying out a static bending test. These stresses were analyzed for spur gears of different rim thickness. The effects of rim thickness on root stresses and on the critical section were studied. Their results obtained by FEM confirm with results measured by strain gage. Chong et al. used finite element method to model the rack teeth as an example of thinrimmed spur gear and to confirm the results of the approximate formula. They investigated the influences of radius of curvature of tooth fillet, pressure angle, and loading position on tooth flank on the tooth fillet and root stresses under a single and double tooth pair meshing. They proved that the formula was not valid when the load was applied extremely near to the tooth fillet. Changet al. used SAP IV finite Element technique to investigate the fillet and root section stresses for a variety of loading positions, mounting support, different fillet radii and rim thickness on a single tooth model. They also studied the surface stress distribution on the entire tooth profile for the tip and pitch point loading. Reddy et al. used 6node isoparametric plane stress triangular element to build the finite element model of a thin rim spur gear. They calculated the effect of variation of rim thickness of a 5tooth segment model on the location and magnitude of maximum