Thermal modeling of an orthogonal machining process

摘要

A novel procedure is disclosed, that can be incorporated into Finite Element Analysis (FEA) or other similar analysis techniques, to obtain the steady state temperature distribution in a coupled transient heat transfer analysis rapidly as well as accurately. A scale factor is used to reduce the thermal inertia per unit volume (specific heat capacity) in regions of steady state temperature distribution, thereby hastening the achievement of steady state. An application of this procedure to estimate steady state temperature distributions within cutting tools, and the estimation of cutting tool wear based on the obtained steady state temperature distributions is shown as an example.

主权项

1. A computerized method of displaying steady state temperature distribution of a system consisting of at least one material, comprising:
identifying at least one region in at least one of said at least one material, said step of identifying further comprising: excluding one or more zones over which distribution of temperature does not reach steady state; and identifying and excluding peripheral material intervening between each of the one or more zones and said at least one region; reducing thermal inertia per unit volume in said at least one region by a scale factor with respect to an original value; calculating, by a processor, a steady state temperature distribution of said at least one region using reduced thermal inertia per unit volume; and displaying said steady state temperature distribution on a display device, wherein the step of calculating said steady state temperature distribution by the processor is achieved faster than without reduction of said thermal inertia per unit volume, wherein the thermal inertia per unit volume is a multiplicative product of density and specific heat of the at least one material, wherein said at least one region is subject to thermal transients that evolve over time to result in said steady state temperature distribution, wherein the identified at least one region does not comprise all regions of each of said at least one material, wherein the system is a mathematical model of a physical system used for calculating temperature distribution of the physical system, wherein characteristic length Δl of the peripheral material corresponding to each of the one or more zones is estimated using equationΔ⁢⁢l=Δ⁢⁢t⁢⁢2⁢Kρ⁢⁢C,and
wherein Δt is time period of temperature fluctuations in the one or more zones corresponding to the peripheral material and K, ρ and C are thermal conductivity, density and specific heat of the peripheral material at their respective original values.