In this paper, root stress, manufacturing possibilities and limitations of standard and nonstandard tooth root fillet of spur gears are examined. Nowadays, standard trochoidal root fillet is used the ...most as an economical trade-off between tooth strength and manufacturing complexity. A disadvantage of the trochoidal root fillet, especially in spur gears with less than 17 teeth, is undercutting which minimises strength of tooth root, introduces stress concentration, and deteriorates meshing conditions. This study focuses on different root designs, namely elliptical and novel cycloidal root fillets. Root stress in gears with different root designs is analysed by FEM and compared with analytical equations according to ISO. The possibility of producing nonstandard root fillet gears by hobbing and limitations of surface finishing are considered as well. Analysis reveals stress differences between each of the root fillet shapes and their relative advantages and disadvantages.
The article describes the creation of the normal cycloidal curve by rotation of the point about the normal of the circle on the spherical surface and binormal cycloidal curve created by rotation of ...the point about the binormal of the previous cycloidal curve. Cycloidal cyclical surfaces are created by moving circles along the curves lying in the normal plane of the curves. Described cycloidal cyclical surfaces are projected on the spherical surface. Varying parameters of the curves are generated different ornaments on the spherical surface.
A technique for the length preserving approximation of plane curves by two circular arcs is analyzed. The conditions under which this technique can be applied are extended, and certain consequences ...of the proved results unrelated to the approximation problem are discussed. More precisely, inequalities for the length of a convex spiral arc subject to the given boundary conditions are obtained. Conjectures on curve closeness conditions obtained using computer simulation are discussed.
Mechanical power transmission by reducing the rotating speed under a constant transmission ratio represents the function of a large group of products known as speed reducers. Cycloid gearing roller ...(invented by L. Braren), through its qualities, has an important role in modern mechanical transmissions. The difference between numbers of teeth of the cycloid gear roller can be equal to 1 (| Z1 - Z2 | 1), without risk of interference, as a result, can be obtained big gear ratios in accordance with in lower overall dimensions.Thus, this paper presents the modeling and simulation of cycloid curves (epicycloids, respectively hypocycloid), which generates the cycloid gears used a lot in robotics.
Članak predstavlja porodicu cikloidnih kružnih ploha koje nastaju gibanjem kružnice duž posebne prostorne cikloide, pri čemu kružnica leži u normalnoj ravnini te krivulje, a središte joj je na ...krivulji. Prostorna cikloida može nastati istodobnom rotacijom točke oko tri različte osi 1^o, 2^o, 3^o, u prostoru. Oblik prostorne cikloide, isto kao i oblik cikloidne kružne plohe, ovisi o međusobnom položaju rotacijskih osi, kratnosti kutnih brzina i orijentacijama pojedinih rotacija. Izvedena je analitička reprezentacija tih ploha, njihova klasifikacija te neka od geometrijskih svojstava.
Slope Profiles of Cycloidal Form Bridge, B. J.; Beckman, G. G.
Science (American Association for the Advancement of Science),
1977-Nov-11, Volume:
198, Issue:
4317
Journal Article
Peer reviewed
Concave profiles of basalt hills in the Darling Downs area of southeastern Queensland can be cycloidal or exponential in form. Where the complete hillslope consists of shallow soils the form is ...cycloidal. Where colluvial lower slopes are present the overall slope is exponential but the upper, dominantly sedentary portion is cycloidal. The cycloidal form, which corresponds to the curve of least time, appears to be associated with erosional processes and the exponential form with depositional processes.
The global steel industry is rapidly transitioning towards energy decarbonization to address the climate crisis. Sintering is one of the main sources of greenhouse gas emissions from steel mills. ...Traditional sintering processes use straight inclined chutes to feed raw materials into the sinter machine. However, this design suffers from insufficient horizontal momentum, resulting in poor segregation of the layered materials. This study proposes an improved charging chute design profile that uses a cycloid curve and rolls to enhance segregation, thus reducing coal consumption and increasing productivity. To achieve this, we first modeled a charging chute using the cycloid curve. Secondly, building upon the cycloid concept, we created a roll-type chute by strategically placing rollers along the cycloid trajectory. Finally, the cycloid roll-type charging chute, integrating the cycloid trajectory with the roll-shaped charging chute, was simulated. Pilot tests comparing the cycloid roll-type and straight chute models demonstrated a significant increase in dispersion for the cycloid roll-type design, with a 65% improvement in the Strand-ward segregation (Sw) index compared to the straight chute. Furthermore, actual filed implementation in a sintering process achieved a 2.9% increase in operational productivity and a 6% reduction in fuel consumption. This study is significant not only for proposing an optimal chute design, but also for successfully implementing it in a full-scale steel mill, contributing to a reduction in fuel consumption and carbon reduction in steel mills.
Many studies have been conducted to reduce the cogging torque of electric power steering motors. However, in the mass production of such motors, it is essential to enhance performance robustness in ...relation to tolerances. For such motors, this work analyzes performance robustness in relation to tolerances by applying a cycloid curve to the surface magnet of the rotor. Applying a cycloid curve to the magnet surface of the rotor is one of several ways to reduce cogging torque. To evaluate the performance of the cycloid curve, we compare it with an eccentric curve. The two curves are compared for the same specifications and evaluated using the indicator, tolerance insensitivity rate, which is used to assess performance robustness in relation to tolerances. The cycloid curve was evaluated to be more robust in relation to tolerances, as compared with the eccentric curve. Finally, an experiment was conducted to validate the robustness of the cycloid curve.
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