Authors: Qi Fan, Ph.D. and Lowell Wilcox, Ph.D., The Gleason Works<\/p>\n
Tooth Contact Analysis (TCA) and Loaded Tooth Contact Analysis (LTCA) are two powerful tools for the<\/p>\n
design and analysis of spiral bevel and hypoid gear drives. Typical outputs of TCA and LTCA are the graphs of<\/p>\n
contact patterns and transmission errors. TCA and LTCA respectively simulate gear meshing contact<\/p>\n
characteristics under light load and under significant load. TCA and LTCA programs have been widely<\/p>\n
employed by gear engineers and researchers in their design of high strength and low noise spiral bevel and<\/p>\n
hypoid gear drives.<\/p>\n
Application of modern CNC hypoid gear generators has brought new concepts in design and generation of<\/p>\n
spiral bevel and hypoid gears with sophisticated modifications. This paper presents new developments in<\/p>\n
2005 FTM 3<\/p>\n
TCA and LTCA of spiral bevel and hypoid gears. The first part of the paper describes a new universal tooth<\/p>\n
surface generation model which is developed with consideration of the universal motion capabilities of CNC<\/p>\n
bevel gear generators. The new universal model is based on the kinematical modeling of the basic machine<\/p>\n
settings and motions of a virtual bevel gear generator which simulates the cradle–style mechanical hypoid<\/p>\n
gear generators and integrates both facemilling and face hobbing processes. The tool geometry is generally<\/p>\n
represented by four sections, blade tip, Toprem, profile, and Flankrem. Mathematical descriptions of gear<\/p>\n
tooth surfaces are represented by a series of coordinate transformations in terms of surface point position<\/p>\n
vector, unit normal, and unit tangent. Accordingly, a new generalized TCA algorithm and program are<\/p>\n
developed.<\/p>\n
In the second part of this paper the development of a finite element analysis (FEA) based LTCA is presented.<\/p>\n
The LTCA contact model is formulated using TCA generated tooth surface and fillet geometries. The FEA<\/p>\n
models accommodate multiple pairs of meshing teeth to consider a realistic load distribution among the<\/p>\n
adjacent teeth. An improved flexibility matrix algorithm is formulated, in which the nonlinear formation of the<\/p>\n
area of contact common to the gear and pinion teeth is predicted by introducing specialized gap elements with<\/p>\n
considerations of deflection and deformation due to tooth bending, shearing, local Hertzian contact, and axle<\/p>\n
stiffness.<\/p>\n
The advanced TCA and LTCAprograms are integrated intoGleasonCAGEt forWindows software package.<\/p>\n
Two numerical examples, a face–hobbing design and a face milling design, are illustrated to verify the<\/p>\n
developed mathematical models and programs.<\/p>\n","protected":false},"excerpt":{"rendered":"
New Developments in Tooth Contact Analysis (TCA) and Loaded TCA for Spiral Bevel and Hypoid Gear Drives<\/b><\/p>\n\n\n
\n Published By<\/td>\n Publication Date<\/td>\n Number of Pages<\/td>\n<\/tr>\n \n AGMA<\/b><\/a><\/td>\n 2005<\/td>\n 14<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":485819,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2659],"product_tag":[],"class_list":{"0":"post-485811","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-agma","8":"first","9":"instock","10":"sold-individually","11":"shipping-taxable","12":"purchasable","13":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/485811","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media\/485819"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=485811"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=485811"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=485811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}