Boundary-Integral Equation Method Applied to Gear Strength Rating

1983 ◽  
Vol 105 (1) ◽  
pp. 129-131 ◽  
Author(s):  
V. Rubenchik
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Elasticity Theory ◽  
Boundary Integral Equation ◽  
Gear Tooth ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Design Calculation ◽  
Integral Equation Methods ◽  
Strength Rating

Employed is a new version of boundary-integral equation methods of the elasticity theory. It gives precise, reliable and simple numerical solution of the plane problem of gear tooth strength rating. The solution and program are proposed for every-day design calculation.

scholarly journals LIMIT WAVES ON HORIZONTAL SEA FLOOR

1986 ◽  
Vol 1 (20) ◽  
pp. 41
Author(s):  
Chia-Chi Lu ◽  
John D. Wang ◽  
Bernard Le Mehaute
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Boundary Integral Equation ◽  
Gravity Waves ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Wave Crest ◽  
Solution Technique ◽  
Sea Floor ◽  
Surface Gravity Waves

A numerical solution to periodic nonlinear irrotational surface gravity waves on a horizontal sea floor is developed using an iterative Boundary Integral Equation Method (BIEM). This solution technique is subsequently applied to determine the characteristics of limit waves for which the wave crest theoretically ceases to be rounded and become angled with an included angle of 120 degrees.

Fast multipole accelerated boundary integral equation methods

2002 ◽  
Vol 55 (4) ◽  
pp. 299-324 ◽  
Author(s):  
N Nishimura
Keyword(s):  
Integral Equation ◽  
Wave Equation ◽  
Boundary Integral Equation ◽  
Fast Multipole Method ◽  
Integral Equation Method ◽  
Review Article ◽  
Boundary Integral ◽  
Fast Multipole ◽  
Helmholtz Equations ◽  
Integral Equation Methods

Fundamentals of Fast Multipole Method (FMM) and FMM accelerated Boundary Integral Equation Method (BIEM) are presented. Developments of FMM accelerated BIEM in the Laplace and Helmholtz equations, wave equation, and heat equation are reviewed. Applications of these methods in computational mechanics are surveyed. This review article contains 173 references.

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