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Modeling of test stand of feed drive system for CNC machine tool by FEM The test stand was composed of ball screw( ball bearing spindle, ball screw nut, fixed bearing, floating bearing) made by Company Boschrexroth according to DIN 69051, Teil 1, shaft coupling and roll rail guide made by company KTR, three-phase current servomotor 1FT made by company Siemens, which has a group of planet gears with ratio 10, showed as following figure. 1, and the technical data is shown by table.1 as following: This construction of test stand has the advantage that the moment of the servo motor can be transferred thought coupling direct into the screw .
Thus, structure preserving model reduction is considered.
The reduction’s effectiveness and reliability depends on the size of.
The comparison of model reduction methods in FEM simulation The model reduction methods, which include Reduced Method, Subspace Method, Block Lanczos Method, etc, are often applied in FEM simulation.
Those model reduction methods are applied for the transmission system for CNC machine as fig.1.

Firstly, the fluorapatite pyrolysis to CaO, CaF2, P2O5, Then the P2O5 carbothermal reduction into phosphorus, Jinrong Zhang[11] studies the reduction of carbothermal the process of fluorapatite and propose two mechanisms, one is direct carbothermal reduction of the fluorapatite to P2, CaF2, CaO, CO, the other is Ca3P2 and CaC2 begin to generate, then Ca3P2 and CaC2 reduction of the fluorapatite to phosphorus respectively.
The element content was studied by element analysis instrument. 3 Results and discussion 3.1 Thermodynamic analysis According to the data and formula in ref, the main reactions may occur as follows [13]: Ca5(PO4)3F+15C=3P2(g)+15CO(g)+9CaO+CaF2 (1) 2Ca5(PO4)3F+24C=3Ca3P2+24CO+CaF2 (2) Ca3P2+6C=3CaC2+P2(g) (3) 2Ca5(PO4)3F + 42C = 9 Ca3P2 + 24CO(g) + CaF2 + 3P2(g) (4) In addition, In the carbothermal reduction process of fluorapatite may react: Ca5(PO4)3F + 15CO(g) = 9CaO + CaF2 + 15CO2(g) + 3P2(g) (5) 2Ca5(PO4)3F+5CaC2=3P2(g)+10CO(g)+14CaO
The product of reduction rate listed in Fig.8 as the molar ratio and temperature increase, the reduction rate of P2O5 increase, when the temperature more than 1723K, the reduction rate of P2O5 is about 99%.
Mechanism of reduction of phosphorus ore [J].
Mechanism of reduction of phosphorus ore [D].

Citation & Copyright (to be inserted by the publisher ) Data Processing in Condition Monitoring Intelligent Modeling L.N.
Rough Set (RS) theory that is a data processing tool of depicting incompleteness and uncertainty had been brought forward for developing automation rule generation system based on indiscernibility relation and knowledge reduction method by Pawlak Z [4-5].
Training Sample Data Set Reduction.
Constructing new learning sample set based on minimum condition attribute and original data; 8.
For adopting ANN to train the learning samples, data of failing to report can be dealt with. 3.

In 2009, the total CO2 emission from China was 7710.5 million tons (Mt) [[] International data carbon dioxide emission; U.S.
The uncertainty of reduction rate for the ratio of peak–flat difference is 0.5%, 1.0% and 1.5%, respectively, when the uncertainty of statistical data is 10%, 20% and 30%.
The uncertainty of reduction rate for the ratio of peak–valley difference is 0.5%, 1.0% and 1.6%, respectively, when the uncertainty of statistical data is 10%, 20% and 30%.
The uncertainty of reduction rate is 0.01%, 0.01% and 0.02%, respectively, when the uncertainty of statistical data is 10%, 20% and 30%.
The uncertainty is 0.002%, 0.004% and 0.006%, respectively, when the uncertainty of statistical data is 10%, 20% and 30%.

The input data for the pilot model were; 12 teeth with module of 5, face width 50 mm, pitch diameter of 60 mm and outside diameter of 70 mm.
The stress obtained was 127.7 MPa which is about 18.7 % reduction in Von Mises stress.
A maximum of 25% reduction in maximum Von Mises stress was obtained in this analysis.
The stress obtained for this case was 108.2 MPa which yielded a 31.1 % reduction compared to the pilot case.
Brown, Gear Stress Reduction Using Internal Stress Relief Features, Journal of Mechanical Design 119 (1997) 518-521

The research studies the influence of soft reduction of a slab on the inner structure of a billet.
Soft reduction of the slabs was carried out in the 12 and 13 segments of the secondary cooling zone.
Change in the content of phosphorus and niobium in thickness of slabs cast with soft reduction () and without reduction (): the position of the upper freeze line (------) at the time of the start (1) and the end (2) of the soft reduction application The figure shows two vertical dotted lines characterizing the position of the upper freeze line inside the work piece at the beginning and the end of the soft reduction.
These data were obtained by calculation using the dependence of the square root.
Data on the maximum value of zonal chemical inhomogeneity degree of tube metal impurities, cast with soft reduction , and without external impact These data allow concluding that the maximum value of the degree of zonal inhomogeneity of most impurities is higher in the cobbled metal than in the metal without external influence.

The rate of reduction scales with the reaction time for both RT and 50 ℃ as evidenced from electrical conductivity data.
Therefore, the metals such as Fe, Al and Zn with dilute hydrochloric acid have been used for the reduction of GO because of their high reduction potential values.
Tin powders (100 mesh, 99.5%, Alfa Aesar, USA) were used as reducing agent for GO reduction.
However, this peak becomes broader with increasing the duration GO reduction at 50 °C.
FT-IR and XPS analysis confirms the successful reduction of GO using Tin powder.

The result showed that the coexistence of Cu(Ⅱ) and citric acid was favourable to the photocatalytic oxidation and reduction.
Table 2 Percentage content of major Cu(Ⅱ) species Sample Cu2+ CuL CuHL CuH2L Cu(OH)L Cu2+ 100 - - - - Cu2+-Cit 18.71 - - 81.21 - 3.Results and Discussion 3.1 Changes of the suspension pH Table 3 contains data on the suspension pH after experiment.
The reduction reaction kinetics is thus found to follow the zero order with respect to Cu(Ⅱ) concentration.
(b) Cu(Ⅱ) was more feasible in photocatalytic reduction in the presence of citric acid.
Fig.1 Cu(Ⅱ) photocatalytic reduction (molar ratio of Cu(Ⅱ) : citric acid was 1:1). 3.3.

In the smelting reduction stage, the reaction temperature was set at 1550℃.
The composition of (Cr2O3) and reduction rate of Chromium are shown in Table 3 and Table 4.
This means after 34 min’s reduction, all of the Nickel had been recovered into iron-bath, and the reduction rate is nearly 100%.
The data confirmed all of the dephosphorizer got the advantageous effect on the dephosphorization process.
[3] Bauer K H: Recycling of iron and steel works wastes using the Inmetco direct reduction process [J].

Magnetic Damping in Turning of Stainless Steel AISI 304 for the Reduction of Machining Vibration and Tool Wear A.K.M.
The data was subsequently processed using DasyLab (version 6) software.
Fig. 3 compares the corresponding tool flank wear reduction by 11% for the same run.
The greatest reduction in tool wear (89.62%) is in run 13 for a corresponding reduction in vibration of 51.27%.
This led to a reduction in tool wear by 63.85% on average.