Geometrical design of skew conical involute gear drives in approximate line contact

2009 ◽  
Vol 223 (9) ◽  
pp. 2201-2211 ◽  
Author(s):  
S H Wu ◽  
S J Tsai
Keyword(s):  
Power Transmission ◽  
Design Approach ◽  
Line Contact ◽  
Contact Sensitivity ◽  
Axis Ratio ◽  
Edge Contact ◽  
Involute Gear ◽  
Surface Durability ◽  
Gear Drives ◽  
Conical Gear

A novel design for skew conical involute gear drives in approximate line contact is proposed. Such a drive has a contact ellipse with a large major-to-minor-axis ratio, which allows it to overcome the weakness of conical gear drives for application in power transmission. This gearing design approach is characterized by reduced edge contact sensitivity and increased surface durability. The edge contact sensitivity that can arise with this kind of gear drive due to assembly or manufacturing errors is evaluated by analysing the value of the shift of the line of action caused by such errors. The surface durability is evaluated by calculating the Hertz stress. Some guidelines are developed based on the analysis of the influence of the gearing parameters on the edge contact sensitivity and the surface durability made possible using this design approach for conical gear drives in the approximate line contact. The guidelines are summarized and, finally, a practical example is given to demonstrate the feasibility of the approximate line contact design.

Contact stress analysis of skew conical involute gear drives in approximate line contact

2009 ◽  
Vol 44 (9) ◽  
pp. 1658-1676 ◽  
Author(s):  
Szu-Han Wu ◽  
Shyi-Jeng Tsai
Keyword(s):  
Stress Analysis ◽  
Contact Stress ◽  
Line Contact ◽  
Involute Gear ◽  
Gear Drives

scholarly journals Enhancing Design Features of Asymmetric Spur Gears Operating on a Specified Center Distance Using Tooth Sum Altered Gear Geometry

2021 ◽  
Author(s):  
Avil Allwyn Dsa ◽  
Joseph Gonsalvis
Keyword(s):  
Power Transmission ◽  
Design Approach ◽  
Mathematical Treatment ◽  
Design Features ◽  
Location Factors ◽  
Load Bearing ◽  
Direct Design ◽  
Surface Durability ◽  
Gear Geometry ◽  
Center Distance

Asymmetric gears have evolved from the rising demand for power transmission drives with high load-carrying capacity, surface durability, and service life. Direct design and S± profile shifted system are the most common approaches used for enhancing design features by geometry modification in asymmetric gears. This paper aims at establishing asymmetric gear geometry modification using tooth sum alteration for a family of gears running on a specified center distance as a feasible design approach. A complete mathematical treatment of the design approach is provided, and an in-house developed computer program is used for numerical simulation. The paper explores the influence of dynamic load factors, location factors for bending, specific sliding on load-bearing capacity, and surface durability on different tooth sum alterations. The study concludes that tooth sum altered asymmetric gear geometry can be employed as an effective design technique that offers designers flexibility in designing gears for surface wear, load-bearing, and tooth life.

Motion Simulation of Gears and Cams Using Working Model

1997 ◽  
Author(s):  
Shih-Liang Wang
Keyword(s):  
Complex Geometry ◽  
Gear Tooth ◽  
Tooth Profile ◽  
Line Contact ◽  
Motion Simulation ◽  
The Past ◽  
Working Model ◽  
Simulation Engine ◽  
Involute Gear ◽  
Involute Surface

Abstract Motion simulation of mechanism of line contact like gears and cams has been difficult in the past. With Working Model, NURBS based complex geometry can be modeled fairly easily, and its simulation engine can animate this type of mechanism accurately. In this paper several Working Model files are developed for visualization and analysis. An algorithm to generate involute gear tooth profile is introduced in this paper for the involute and a portion of non-involute surface.

Optimizing involute gear design for maximum bending strength and equivalent pitting resistance

2007 ◽  
Vol 221 (4) ◽  
pp. 479-488 ◽  
Author(s):  
V Spitas ◽  
C Spitas
Keyword(s):  
Bending Strength ◽  
Power Transmission ◽  
Optimization Procedure ◽  
Contact Ratio ◽  
Element Analysis ◽  
Gear Design ◽  
Involute Gear ◽  
Involute Gears ◽  
High Power Transmission ◽  
Complex Algorithm

Standard involute gear designs dominate high-power transmission applications because they combine sufficient bending strength with high pitting resistance, while retaining an adequate contact ratio. In this paper, a non-standard, optimal alternative involute gear design has been presented, which has the same pitting resistance as the standard involute gears but exhibits maximum resistance to bending. The optimization procedure is based on the complex algorithm, where the root stress, as calculated through tabulated boundary element analysis values, is the objective function and the active constraints include all of the kinematical, manufacturing and geometrical conditions, which must be satisfied by the optimal design, including the pitting resistance. The results indicate that optimal designs can achieve up to 8.5 per cent reduction of the fillet stress. Two-dimensional photoelasticity was used to verify the optimization results.

Considerations in the Design of Primary Worm-gear Drives for Astronomical Telescopes

1969 ◽  
Vol 1 (5) ◽  
pp. 245-247
Author(s):  
D. G. S. Groeneveld
Keyword(s):  
Power Transmission ◽  
Design Methods ◽  
Worm Gear ◽  
Standard Design ◽  
Gear Drives

Worm-gear drives for astronomical telescopes have associated with them certain requirements which cannot be effectively dealt with by applying standard design methods and parameters, since these drives differ in many ways from conventional power transmission gearing.

Calculation of tooth bending strength and surface durability of internal spur gear drives

2016 ◽  
Vol 95 ◽  
pp. 102-113 ◽  
Author(s):  
Miryam B. Sánchez ◽  
Miguel Pleguezuelos ◽  
José I. Pedrero
Keyword(s):  
Bending Strength ◽  
Spur Gear ◽  
Surface Durability ◽  
Gear Drives

Gearing principle and geometric design of conical involute gear pairs with crossed axes

2004 ◽  
Vol 218 (12) ◽  
pp. 1517-1526 ◽  
Author(s):  
J He ◽  
X Wu ◽  
Y Cui
Keyword(s):  
Helix Angle ◽  
Design Methods ◽  
Reference Plane ◽  
Gear Drive ◽  
Involute Gear ◽  
Involute Gears ◽  
Crossed Axes ◽  
Gear Drives ◽  
Design And Manufacture ◽  
Reverse Methods

A group of formulae for the geometric parameters, such as the gear mounting distance, crossed-axes angle, centre distance and helix angle of the tooth projection on the reference plane of a reference rack, of a crossed-axes gear drive of different arrangements are derived based on the analysis of the spatial mesh relationship between conjugate gears and their reference rack. A set of geometrical design methods for conical involute gear pairs with crossed axes (non-intersecting and non-parallel axes) is presented. The formulae can be applied not only to all of the possible independent forms of crossed-axes gear drives but also to the case of gearing with parallel axes and intersecting axes. The design methods consist of two parts, the sequential and the reverse methods. The former is used to determine the mounting dimensions when the basic dimensions of a pair of conical involute gears are given, while the latter is used to determine basic dimensions of a pair of gears when the mounting dimensions are known. The formulae and the methods are verified through the design and manufacture of a set of testing gears.

Approach for Topological Synthesis of Hyperbolic Gear Drives

2003 ◽  
Author(s):  
Carlos Garci´a-Masia´ ◽  
Jose´ I. Pedrero
Keyword(s):  
Cone Angle ◽  
Point Contact ◽  
Helix Angle ◽  
Line Contact ◽  
Objective Functions ◽  
Dimensional Synthesis ◽  
Manufacturing Method ◽  
Worm Gearing ◽  
Gear Drives ◽  
The Given

In this work, new approaches for the dimensional synthesis of both tooth and operating basic surfaces for hyperbolic gear transmissions are presented. Both traditional worm-gearing hyperbolic transmissions (point contact) and non-traditional ones (line contact) are considered regarding constraints as the manufacturing method, the standardized tool modules and the limit normal of contact. For point contact, the location of the pitch point is done by chosen the parameters of the operating basic surfaces (the cone angle of the worm) and of the teeth basic surfaces (axial module and helix angle of the worm). For line contact, the given parameters of the operating basic surfaces are the cone angle and the worm radius at “zero plane”, and the axial module of the teeth basic surfaces. A comparative study of optimal synthesis, considering different solutions of traditional (point contact) hyperbolic transmissions and non-traditional (line contact) ones, is also included. The objective functions were the sliding velocity and the efficiency, and constrictions above were considered.

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