Mathematical Handbook for Scientists and Engineers

Generalised non-dimensional multi-parametric involute spur gear design model considering manufacturability and geometrical compatibility

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Computationally efficient analysis a design of optimally compact gear pairs and assessment of gear compliance

After considering the rack cutter's addendum, the minimum teeth without undercutting of spur gears with 20o, 225o and 25o pressure angle were carried out analysis and comparison in this paper On the basic of gear generating principles, origin and basic architecture of undercutting were presented, and the phenomenon of undercutting was theoretically investigated And, there also are simulated result by means of VB and experimental results in this paper The rack cutter is used to infer minimum teeth without undercutting of in volute gears with the pressure angle of 225o and 25o, and correct minimum teeth without undercutting are got when the pressure angle are respectively 225o and 25o Then, virtual simulations in the circumstance of software VB are applied to verify the validity of theoretical calculations

Study on Minimum Teeth without Undercutting of the Spur Involute Gears with 22.5º and 25º Pressure Angle Based on VB

Based on the principle of gear generating, theoretical research and VB software simulation about undercut are presented in this paper. The rack cutter is used to infer minimum teeth without undercutting of stub tooth in volute gear, stub tooth helical gear and stub tooth straight bevel gear. And, which are respectively analyzed and calculated. Thus, correct minimum teeth without undercutting are got, theoretical analysis and calculation on the in volute stub tooth gear have been carried out. Then, minimum teeth without undercutting can be obtained, and use VB software to carry on simulation for verifying the validity of the theoretical calculation.

Study on Minimum Teeth without Undercutting of the Stub Tooth Involute Gears Based on VB

In textbooks of mechanical engineering, rack has been mistakenly regarded as rack cutter so that minimum teeth without undercutting have been deduced, which has made people misunderstand undercut phenomenon more than 65 years. Theoretical research and computer simulation about undercut phenomenon are presented in this paper. Firstly, the theoretical analysis and calculation on minimum teeth without undercutting have been carried out, the rack cutter is used to infer minimum teeth without undercutting of standard involute gears, and correct minimum teeth without undercutting are get; And then computer simulation is applied to verify validity results of theoretical calculations, which not only corrects the long-standing mistakes about the traditional undercut phenomenon, but also provides the correct theoretical guidance for gears’ manufacturing.

Study on Minimum Teeth without Undercutting of Standard Involute Gears

This article introduced neural network, discusses the neural networks model and its learning process. Using the MATLAB environment research and analysis the involute gear undercutting relationship, which under different pressure angles. In the number of teeth or modulus has been scheduled environment apply the nonlinear mapping characteristics of neural networks to involute gear undercutting do a more accurate simulation. This provides a theoretical basis for different pressure angle involute gear in gear transmission design.

Simulation and Analysis about Different Pressure Angle in Involute Gears Based on Neural Network

Study on minimum teeth without undercutting for considering the rack cutter’s addendum c*m of a kind of gear with 14.5 degree pressure angle, and the gear standard No is B436-1940 and used in UK. Based on the generating method, reasons for undercut phenomena is analyzed, and the numbers of minimum teeth without undercutting of the involute spur gear, involute helical cylindrical gear and involute spur bevel gear are theoretically analyzed and figured out. The correct number of minimum teeth without undercutting of gear with 14.5 degree pressure angle is given, and also illustrated the validity of theoretical derivation.

Study on Minimum Teeth without Undercutting of Involute Gears with 14.5 Degree Pressure Angle

Study on a steel chimney outer wall with three spiral guide plates in this paper. Research the steel chimney structure stability and static force analysis under wind loads by using ANSYS Workbench and CFX fluid mechanics modular. To prove the steel chimney with three spiral guide plates structure is more safe and stable than the old steel chimney. Provides a new transformation basis of the steel chimney as the ratio of height to diameter is large and low flexural strength.

Structure Strength Analysis on a Steel Chimney Outer Wall with Three Spiral Guide Plates

The principle of gear engagement and the relevant knowledge of gear geometry were used to introduce the dual meshing points involute-circular arc tooth gear in detail. At the same time, use the derived equation of the contact line and the tooth profile equation to describe the gear meshing process. Derive to this gear formula of coincidence degree calculate, in order to improve the transmission theory of the gear. Combine the gear contact line equation, equation of the tooth profile and transmission analysis, studies the meshing performance and serve as a theoretical basis for the gear design and application.

Jia Ning He

Papers

Study on Minimum Teeth without Undercutting of Standard Involute Gears

Simulation and Analysis about Different Pressure Angle in Involute Gears Based on Neural Network

Study on Minimum Teeth without Undercutting of Involute Gears with 14.5 Degree Pressure Angle

Structure Strength Analysis on a Steel Chimney Outer Wall with Three Spiral Guide Plates

Research on the Transmission Characteristics and Mechanical Mechanics of Dual Meshing Points in Involute-Circular Arc Tooth Gear