Dimensional normal load and dimensional normal contact stiffness model of gear transmission system with rough tooth surface

In order to reduce the input of parameters in numerical simulation, the mathematical model of dimensional normal load is obtained by dimensional simplification

When D is not equal to 1.5,

When D equals 1.5,

Among them, the relevant simplified expressions and dimensionalized forms of parameters in the formula are shown in the formula.

The formula of normal contact stiffness is simplified by dimension

It can be seen from the formula that the constructed dimension normal load and normal contact stiffness have certain mathematical expression correlation with a * r and a * C, respectively