The Euler–Lagrange ConstrainedWillmore Surface Equation

2021 ◽  
pp. 73-86
Keyword(s):  
Surface Equation

scholarly journals Surface Equation of State of Nonionic CmEnSurfactants

Langmuir ◽  
2003 ◽  
Vol 19 (8) ◽  
pp. 3164-3171 ◽  
Author(s):  
Shi-Yow Lin ◽  
Ya-Chi Lee ◽  
Ming-Wei Yang ◽  
Hwai-Shen Liu
Keyword(s):  
Equation Of State ◽  
Surface Equation

An evaluation of Neumann's "surface equation of state"

Langmuir ◽  
1989 ◽  
Vol 5 (1) ◽  
pp. 293-295 ◽  
Author(s):  
Rulon E. Johnson ◽  
Robert H. Dettre
Keyword(s):  
Equation Of State ◽  
Surface Equation

A New Method of Constructing Tooth Surface for Logarithmic Spiral Bevel Gear

2010 ◽  
Vol 129-131 ◽  
pp. 235-240 ◽  
Author(s):  
Qiang Li ◽  
Zi Liang Wei ◽  
Hong Bo Yan ◽  
Hai Yan Hu
Keyword(s):  
Logarithmic Spiral ◽  
Strength Distribution ◽  
Bevel Gear ◽  
Tooth Surface ◽  
Spiral Bevel Gear ◽  
Surface Equation ◽  
Complex Curves ◽  
Logarithmic Spirals ◽  
Cone Surface ◽  
Spiral Bevel

For a new type of bevel gear—logarithmic spiral bevel gear, establish its tooth direction curves and the mathematical model of tooth surface equation. With CAD software platform which can intuitive understanding of complex curves and combined with conical logarithmic spiral parameter equation build the logarithmic spiral on cone surface. Then array logarithmic spiral to make them evenly distributed in the cone surface, without any interference and to meet the strength distribution on both ends of circular truncated cone equally. Use two logarithmic spirals from different starpoint as tooth direction curves of lift and right tooth surface. Finally, use space geometric knowledge to build tooth surface equation by tooth direction curves and tooth profile curves.

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