Direct analytical solution of a modified form of the meshing equations in two dimensions for non-conjugate gear contact

DOI10.1016/j.apm.2007.07.007zbMath1145.74391OpenAlexW2040307441MaRDI QIDQ949997

Christos Spitas, Vasilios Spitas

Publication date: 22 October 2008

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2007.07.007

zbMATH Keywords

non-conjugate contactdirect analytical solutiongear mesh analysis

Mathematics Subject Classification ID

Contact in solid mechanics (74M15)

Related Items (7)

Numerical continuation of solution at singular points of codimension one ⋮ Parametrization of the Cauchy problem for systems of ordinary differential equations with limiting singular points ⋮ Formulation of the Riccati equation for the impedance operator in cylindrical coordinates for inhomogeneous anisotropic waveguides with the example of rectilinear anisotropy ⋮ A computationally robust solution to the contact problem of two rotating gear surfaces in space ⋮ Numerical continuation of solution at a singular point of high codimension for systems of nonlinear algebraic or transcendental equations ⋮ Nonlinear torsional vibrations of a wind turbine gearbox ⋮ Novel mathematical modelling methods of comprehensive mesh stiffness for spur and helical gears

Uses Software

• minpack

Cites Work

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• High-order Newton-penalty algorithms
• Direct gear tooth contact analysis for hypoid bevel gears
• Automatic determination of guess values for simulation of meshing of gear drives
• Modified approach for tooth contact analysis of gear drives and automatic determination of guess values

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