By Ping Huang
The booklet not just deals scientists and engineers a transparent inter-disciplinary advent and orientation to all significant EHL difficulties and their ideas yet, most significantly, it additionally offers numerical courses on particular software in engineering.
• A one-stop reference supplying equations and their options to all significant elastohydrodynamic lubrication (EHL) difficulties, plus numerical courses on particular purposes in engineering
• deals engineers and scientists a transparent inter-disciplinary creation and a concise application for useful engineering functions to most vital EHL difficulties and their solutions
• brings jointly a couple of case stories in a single textual content, each one being solved utilizing resolution equipment which percentage universal gains and techniques
Read or Download Numerical Calculation of Elastohydrodynamic Lubrication: Methods and Programs PDF
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Additional resources for Numerical Calculation of Elastohydrodynamic Lubrication: Methods and Programs
Sample text
3 Calculation diagram of elastic deformation in line contact Coefficient calculation subroutine SUMAK As the coefficient Kij is independent of pressure, it is calculated only once, but it needs to be used many times in elastic deformation calculation. In order to save time, Kij will be calculated once in advance by Subroutine SUBAK. In the subroutine, MM is substituted, which is equal to the number of nodes. The equation in the subroutine to calculate the coefficients of elastic deformation Kij = i− j + 0 5 ln i − j + 0 5 −1 − i − j −0 5 ln i − j − 0 5 − 1 is AK I = I + 0 5 ∗ ALOG ABS I + 0 5 −1 − I− 0 5 ∗ ALOG ABS I − 0 5 − 1 .
The division of a mesh is determined by calculation accuracy. For a common EHL problem, m × n = 50–100 × 50–100 will usually meet the requirement of accuracy. Sometimes, in order to improve accuracy, if the unknown variables undergo a rapid change in the region, the grid needs to be refined by using two or more different subgrids. Let us consider pressure p as an example. The distribution of pressure in the whole region can be expressed by each node pij. 6 Relationship of difference partial derivatives at the node (i,j) can be represented by the surrounding node variables.
6 Finite difference method of Reynolds equation If the boundary conditions are used to solve a differential equation, it is known as the boundary value problem. In EHL calculations, the finite difference method is commonly used to solve the Reynolds equation. The major steps of the finite difference method are as follows. 1 Discretization of equation First, change the partial differential equations into nondimensional forms. This is accomplished by expressing variables in the universal form. Then, divide the solution region into a mesh with uniform or nonuniform grids.
