Numerical tooth contact analysis of a bevel gear set by using measured tooth geometry data

Algorithms for Realization of Object-Oriented Method Functional to the Synthesis of Spur Gear Geometric Parameters

“…Данные задачи активно исследуются другими авторами, в частности [15,16], однако они в своих работах используют CAE-комплексы в качестве инструмента для получе-ния результатов; мы же будем использовать CAE-среды в качестве инструмента для проверки полученных результатов.…”

Numerical tooth contact analysis of gear transmissions through the discretization and adaptive refinement of the contact surfaces

“…The algorithm is a geometric approach designed to be independent from the transmission type and to be able to solve the contact problem for any relative position of the contacting surfaces. It works with discrete contact surfaces (triangle meshes) and the contact of the gear mesh with the pinion mesh is computed with the least rotation angle (LRA) strategy introduced by Simon [38] and extended by Lin [31]. According to this method, the necessary angle of rotation for the gear mesh to contact the pinion mesh can be obtained computing, for each node of the gear mesh, the angle of rotation to contact the pinion mesh by means of resource R4.…”

“…The high number of papers reveals the importance of the TCA for the simulation and design of gear drives. However, Lin [31] stated that the analytical methods based on the surface tangency condition may fail solving the contact problem when an edge-contact occurs during the gear tooth meshing process because that condition is not necessary fulfilled. Additionally, when there is a perfect line contact between the mating teeth (for example, in the case of perfectly aligned involute spur gears), the approach may not be robust because the contact point is not unique.…”

“…Vijayakar [34] proposed an discrete optimization method for finding the points of minimum distance in both tooth surfaces to solve the contact problem. Lin [31] proposed the use of a numerical approach to determine the coordinates of the contacting points according to the surface position vector exclusively, avoiding the use of the normal vector. In a previous work, Bracci [35] proposed an interesting fast geometric approach for the estimation of the contact pattern without the need of taking into account the curvature of the surface.…”

Computerised Design and Simulation of Meshing and Contact of Formate Hypoid Gears Generated with a Duplex Helical Method

“…Computerised design, manufacturing and simulation of meshing, and contact stress analysis of spiral bevel and hypoid gears are the subjects of research performed by many scientists [17] and [18]. Lin et al [19] developed a numerical tooth contact analysis technique for simulating the single flank test of the gear geometry data measured on a gear measuring centre. Fan developed a new generalized tooth surface generation algorithm and a tooth contact analysis (TCA) approach [3], and presented a new generic model of generating spiral bevel and hypoid gears, this model is applicable to both face-milling and face-hobbing processes based on the universal motion concept (UMC) [20].…”