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Adding their inertia moments suitably, one can obtain as a result the reduction at the DOF (degree of freedom) of the system.
On the basis of these data, it is possible by use of the well known solving analytic or numerical procedures to calculate the values of the natural frequencies (e.g. by means of numerical methods based on the Jacobi eigenvalue algorithm [11]).
A stage of the two-stage gear (a) and the separated assembly of the countershaft (b) In the case of high values of the mesh stiffness (in relation to the other spring parameters in the system) after performing the reduction of the inertia moments on the input shaft, one can obtain the 2-DOF system described by the formula (8) where: and If the stiffness k1 and k2 are significantly lower than the stiffness of the countershaft kw23 and the meshes have very high values of stiffness (in relation to the other spring parameters in the system), then after the reduction of parameters on the input shaft the natural frequency is expressed by the formula
(10) For the vibrations of the gear wheels in relation to the countershaft (the stiffness of the input shaft, output shaft and mesh stiffness are neglected), after the reduction parameters on the countershaft, one can obtain the natural frequency of the equivalent system as (11) where: An analysis of dynamics in the system for varying stiffness of the countershaft-numerical calculations For the two-stage reducer, as we mention above, the important dynamic phenomena appear only on the high-speed stages.
The data for spur gears have included: z1 = 20÷31; z2 = 40÷61; z3 = 20÷41; z4 = 40÷61 – numbers of teeth for the first and second stage, respectively, mn1 = 2÷4 mm; mn2 = 2÷4mm – pitch modules, bw1= 20÷80 mm; bw2 = 20÷80 mm – face width of wheels.

For example, the statute of “Management Measures on Urban Waste”, issued in 2007, pinpointed the principles of waste reduction, recycling, and recovery (3R principle) [6-8].
According to the government, the methods included consulting work reports and literatures, analyzing the results and data from these literatures and reports.
Data resource: China Statistics Yearbook on Environment from 2007 to 2011 [9-13] According to Hangzhou Environment Bulletin, the total MSW amount has increased year by year.
Incineration has been proven as an attractive method of MSW treatment due to the primary advantages of harmless control, volume reduction (about 90%), mass reduction (about 70%) and energy recovery.
Lo, Waste management in Guangdong Cities: The waste management literacy and waste reduction preferences of domestic waste generators.

Expert assessments show that 80% of the projected GHG emission reduction can be reached by improvement of vehicle efficiency and introduction of alternative fuels [3].
The major challenge in reaching this goal is that the necessary reductions in the carbon emissions by vehicles must be achieved without disruptions in transportation patterns and population mobility.
Since there is no available experimental data that suggest numeric values of the coefficients in the Wiebe model adjusted to the gaseous fuel compositions considered in the current work, an approach suggested in [13] was applied.
Laminar flame velocity for each of the considered gaseous fuel compositions was estimated based on the published experimental data.
In the case of engine feeding by methanol steam reforming products the working mixture leaning up to λ=1.45 ensured more than double reduction of NOx emissions as compared to the reference liquid fuel – methanol.

Because of the higher dislocation density the yield strength will be increased what goes along with the reduction of elongation.
The result of the heat treatment is a reduction of the accumulated dislocations in the strain hardened material [10].
The use of the FLD is a further step to gain a better understanding of the materials´ behavior and acquire more data for the simulation of IHT.
The measured data are plotted using a simple linear regression function.
This effect can be interpreted as a reduction of the dislocations and the associated strain hardening.

The data clearly shows that the density value was slightly decreased with increasing temperature.
The evaporation of volatile alkali metal oxides and partial melting at high temperature is likely a main reason for the density reduction [4].
The related dielectric data are also listed in Table 1.
Moreover, small reduction of Tc was observed with increasing the sintering temperature (Fig. 4(d)).
Therefore, a reduction of polarization for crystal structure with the tetragonal symmetry can be occurred (for the 1250°C ceramics).

Furthermore, the results were compared to experimental data whenever possible.
Data from measurements was only available for two rotors with hub diameters of d2 = 30 mm and d4 =60 mm.
For those setups, no experimental data was available.
The curves for d4 = 60 mm show good agreement for the same volume flow values but differ stronger from the experimental data in the outer regions.
Even though no experimental data was available for those setups the comparison of experimental and simulated characteristic curves for d2 = 30 mm and d4 = 60 mm showed that the results are trustworthy for operating points near the nominal working point.

For instance, Mon Gijun, etc. (2009) based on GIS and statistical analysis to Changping District in Beijing as an example , using the 1996-2004 land use data and basic geographic information data, combined with qualitative analysis and quantitative analysis, spatial analysis and time analysis to study the driven mechanism which influence land use change[2].
Data sources and methods Research area is 1002.1 km2; the track number of TM images is p127r42, Time is respectively June 10, 1990, November 23, 2001, April 3, 2006 and September 21, 2010, data format is Geotiff.
Data preprocessing is given priority to with Erdas software, photoshop is complementary.
Visibility is calculated through historical meteorological data.
SPOT (2.5 m) image by high resolution visual interpretation methods, combined with field data classifying the confusion matrix, and classified on the basis of the validation.

The system has eight channels so that eight EEG data streams can be recorded and stored simultaneously.
In this system, we adopt the SPI protocol as the data transmission.
We can do secondary analysis to the EEG signal data by utilizing it.
The PC application designed by C sharp Results The EEG data, shown in Fig. 5(a), is record by the Graze University.
The data sets are used to evaluate the performance of the system.

This Research[3] lack in the support of comprehensive data analysis in process parameter optimization.
The rolling scheme and data analysis are based on the orthogonal experimental design.
The orthogonal array is applied to designing the experiment and analyzing the data.
The range analysis and variance analysis are mostly for experimental data analysis.
Ovality Study of Shafts with Light Area Reduction by Cross Wedge Rolling[J].