Analysis of Precision Reliability for CX Series of Five-Axis Turning-Milling Center

2011 ◽  
Vol 383-390 ◽  
pp. 4775-4782
Author(s):  
Jian She Gao ◽  
Wei Wei Yang ◽  
De Ping Liu ◽  
Yu Ping Wang ◽  
An Qing Zhang
Keyword(s):  
Mathematical Model ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Analytical Method ◽  
Military Industry ◽  
Machining Center ◽  
Nc Machine ◽  
Five Axis ◽  
The Mathematical Model

Five-axis turning-milling center is an important and advanced NC machine in fields of military industry, aerospace, automobile and medical machinery. The kinematics equation is built based on D-H method by the analysis of the structure of five-axis turning-milling center. The precision workspace is presented and its definition is given. The precision workspace of five-axis turning-milling center is analyzed based on Monte Carlo method. The mathematical model of precision reliability for machining center is built. The sensitivity of precision reliability for machining center is analyzed using analytical method. Finally, sensitivity histograms are given.

Simulation on Motion Reliability of Five-Axis Turning-Milling Center

2011 ◽  
Vol 80-81 ◽  
pp. 1041-1045
Author(s):  
De Ping Liu ◽  
Wei Wei Yang ◽  
Jian She Gao
Keyword(s):  
Military Industry ◽  
Variable Parameters ◽  
Whole Process ◽  
Machining Center ◽  
Command File ◽  
Nc Machine ◽  
Mathematical Equations ◽  
Simulation Results ◽  
Five Axis ◽  
Complicated Mechanism

Five-axis turning-milling center is an important and advanced NC machine in fields of military industry, aerospace, automobile and medical machinery. The model of machining center is established by using ADAMS and designing the variable parameters. The error of machining center is simulated by Monte Carlo method. The command file is compiled to simulate the machining center and the motion reliability is computed using simulation results. The whole process avoids establishing and solving complicated mathematical equations. So, it is an effective method for the analysis and computation of motion reliability. Compared with traditional methods, this method is more accurate and quick and it is suitable for complicated mechanism.

KINEMATICS AND WORKSPACE ANALYSIS OF A 3 DEGREE OF FREEDOM PARALLEL MECHANISM WITH PARALLELOGRAM LINKAGE

2017 ◽  
Vol 41 (5) ◽  
pp. 922-935
Author(s):  
HongJun San ◽  
JunSong Lei ◽  
JiuPeng Chen ◽  
ZhengMing Xiao ◽  
JunJie Zhao
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Analytical Method ◽  
Theoretical Basis ◽  
Parallel Mechanism ◽  
Graphical Method ◽  
Degree Of Freedom ◽  
Workspace Analysis ◽  
Fixed Base ◽  
Moving Platform

In this paper, a 3-DOF translational parallel mechanism with parallelogram linkage was studied. According to the space vector relation between the moving platform and the fixed base, the direct and inverse position solutions of this mechanism was deduced through analytical method. In addition, the error of the algorithm was analyzed, and the algorithm had turned out to be effective and to have the satisfactory computational precision. On the above basis, the workspace of this mechanism was found through graphical method, which was compared with that of finding through Monte Carlo method, and there was the feasibility for analyzing the workspace of the mechanism by graphical method. The characteristic of the mechanism was analyzed by comparing the results of two analysis methods, which provided a theoretical basis for the application of the mechanism.

Design of the Conjugate Cam Induction Hardening Mechanism and Establishment of the Motion Controlling Mathematical Model

2012 ◽  
Vol 155-156 ◽  
pp. 726-730
Author(s):  
Zhong Hua Li ◽  
Qian Tang ◽  
Di Yan ◽  
Jie Wu
Keyword(s):  
Mathematical Model ◽  
Induction Hardening ◽  
Uniform Motion ◽  
Hardening Mechanism ◽  
Kinematic Relationship ◽  
Nc Machine ◽  
The Common ◽  
Relationship Of ◽  
The Mathematical Model ◽  
Basic Motion

The common methods of cam induction hardening are discussed at present. By analyzing the basic motion law of conjugate cam, a new induction hardening mechanism is designed. The motion controlling mathematical model is built on the basis of the kinematic relationship of the transmission of the induction hardening mechanism. Through the mathematical model calculation, we can get angular velocity of the workbench, then realize that single axis on NC machine controls the inductor to make isometric uniform motion relative to the cam surface, so that the cam hardening depth distribution is uniform.

scholarly journals Mathematical model for reliability indicators calculation of tethered UAV hybrid navigation system

2021 ◽  
Vol 2091 (1) ◽  
pp. 012033
Author(s):  
V M Vishnevsky ◽  
K A Vytovtov ◽  
E A Barabanova ◽  
V E Buzdin
Keyword(s):  
Mathematical Model ◽  
Navigation System ◽  
Analytical Method ◽  
Mathematical Expression ◽  
Equation System ◽  
Kolmogorov Equation ◽  
Reliability Indicators ◽  
Technical Vision ◽  
The Mathematical Model ◽  
First Time

Abstract The mathematical model for reliability indicators calculation of the hybrid navigation system containing microwave and technical vision subsystems is proposed in this paper for the first time. The proposed method is based on the translation matrix concept of solutions to the Kolmogorov equation system and it allows us to obtain the mathematical expression of availability factor, downtime ratio, and other reliability indicators. Also the presented approach allows finding the reliability indicators for the cases of jump change of transition intensities caused by external influences. Besides the analytical method can be used for investigation of hybrid navigation system transient mode functioning. The results of the numerical calculations clearly demonstrated correctness of the proposed approach.

An Optimization of Automated Process Planning for Manufacturing Prismatic Parts on a Machining Center

2015 ◽  
Vol 789-790 ◽  
pp. 1270-1274
Author(s):  
Janjira Kongchuenjai ◽  
Suksan Prombanpong
Keyword(s):  
Mathematical Model ◽  
Process Planning ◽  
Cutting Tools ◽  
Cnc Machining ◽  
Total Production ◽  
Machining Time ◽  
Optimal Sequence ◽  
Machining Center ◽  
Prismatic Parts ◽  
The Mathematical Model

One of the objectives of process planning optimization is to diminish machining time. Nowadays a lot of research papers presented different algorithms to solve this classic problem. Thus, the optimal sequence of parts in the machining operations by considering fixture faces, part faces, number of operations and number of tools is presented in this paper. The mathematical model based on the integer linear programming is developed to minimize the total production time of the prismatic parts manufactured on a CNC machining center equipped with the tombstone-type fixture. The time required for machining, tool traveling and tool changing is taken into consideration under relevant constraints such as precedence, fixture and available cutting tools. The optimal process plan can be obtained from the mathematical model and it is considered practical and acceptable.

scholarly journals A geometric error tracing method based on the Monte Carlo theory of the five-axis gantry machining center

2017 ◽  
Vol 9 (7) ◽  
pp. 168781401770764 ◽  
Author(s):  
Jinwei Fan ◽  
Yuhang Tang ◽  
Dongju Chen ◽  
Changjun Wu
Keyword(s):  
Monte Carlo ◽  
Machine Tool ◽  
Test Piece ◽  
Great Influence ◽  
Numerical Control ◽  
Geometric Errors ◽  
Machining Center ◽  
Machining Errors ◽  
Five Axis ◽  
Tracing Method

This article proposes a tracing method to identify key geometric errors for a computer numerical control machine tool by cutting an S-shaped test piece. Adjacent part relationships and machine tool errors transform relationships are described by topology of the machining center. Global sensitivity analysis method based on quasi-Monte Carlo was used to analyze machining errors. Using this method, key geometric errors with significant influence on machining errors were obtained. Compensation of the key errors was used to experimentally improve machining errors for the S-shaped test piece. This method fundamentally determines the inherent connection and influence between geometric errors and machining errors. Key geometric errors that have great influence on machining errors can be determined quickly with this method. Thus, the proposed tracing method could provide effective guidance for the design and use of machine tools.

scholarly journals Measurement of Relative Position of Camera and Optical Beacon by Simultaneous Passive Method

2019 ◽  
Vol 8 (1) ◽  
pp. 1 ◽  
Author(s):  
Jiri Nemecek ◽  
Martin Polasek
Keyword(s):  
Mathematical Model ◽  
Relative Position ◽  
Analytical Method ◽  
Measurement Method ◽  
Position Angle ◽  
Experimental Measurements ◽  
Light Sources ◽  
Passive Measurement ◽  
Passive Method ◽  
The Mathematical Model

The paper deals with a problem of a passive measurement of the relative position of an optical beacon and an optical camera by a simultaneous analytical method. The beacon is composed of nine light sources which are arranged in space in a defined way. The proposed beacon layout enables the measurement of the beacon range and one position angle of the camera. This paper presents the mathematical model of the measurement method and the results, which were gathered on the basis of two experimental measurements. The first experiment was only indicative. The extreme results of the second experiment were as follows: the minimum and maximum absolute percentage errors of the beacon range were zero and 1.72%, the minimum and maximum errors of the position angle were 0.1 deg and 1.64 deg. The standard commercial cameras and lenses with different focal lengths were used.

scholarly journals Simulation of BHA sticking elimination effectiveness using jarring devices

2018 ◽  
pp. 64-71
Author(s):  
V. M. Charkovskyi ◽  
M. М. Slepko
Keyword(s):  
Mathematical Model ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Queuing Theory ◽  
Strength Properties ◽  
Laboratory Research ◽  
Rock Destruction ◽  
The Law ◽  
Device Use ◽  
Restraining Force

A stochastic mathematical model of the jarring device use effectiveness for releasing the stuck BHA was studied based on Monte-Carlo method of probability of the corresponding result. Distribution histograms were designed and the law of sticking force distributionp in various cases was defined. The conditions, when the probability of growth of the restraining force is unacceptably high were defined. The time of jarring and the number of impacts for probable tool release were defined using queuing theory elements. The results of laboratory research of strength properties of some Precarpathian rocks were given and approach for their accounting as criteria of rock destruction during jarring were proposed.

Feasibility Study of Using Simultaneous Motion of Two Rotary Axes to Evaluate Machining Center: Simulation

2011 ◽  
Author(s):  
K. M. Muditha Dassanayake ◽  
Masaomi Tsutsumi ◽  
Ohta Katsunori
Keyword(s):  
Mathematical Model ◽  
Feasibility Study ◽  
Radial Direction ◽  
Rotary Table ◽  
Measuring Device ◽  
Rotary Axes ◽  
Machining Center ◽  
Double Ball Bar ◽  
Ball Bar ◽  
The Mathematical Model

In this paper, a new motion: the two rotary axes simultaneous motion was proposed and the mathematical model which was used to carryout simulations was described. The effect of each deviation on the proposed motion was identified and described one by one. A methodology to estimate all the eight deviations which inherent to tilting rotary table type machining centers was described step by step. This methodology consists of two motions: the proposed motion and C axis radial direction motion. Both the two motions used only the rotary axes. All the motions can be run on one setup. The simulations were carried out by considering that the double ball bar as the measuring device. Furthermore, number of settings which can be used for the new motion were discussed. From this study, it was confirmed that this method can be used for estimate all the eight deviations, accurately.

Modeling the transfer of ionizing radiation flux in multilayered barriers

2018 ◽  
pp. 143-157
Author(s):  
A. V. Ostrik ◽  
I. V. Bugay
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ionizing Radiation ◽  
Analytical Method ◽  
Radiation Flux ◽  
Numerical Realization ◽  
Method Of Calculation

The variant of Monte Carlo method for calculation of transfer of ionizing radiation having quanta energy of Eph=1-200keV is considered. The hybrid numerical and analytical method of calculation is offered. At numerical realization of each trajectory photo-absorption of quanta is considered analytically and other types of interactions (Compton and Relay scatterings, fluorescence) are realized in a random way. Calculations results for transfer of radiation having Plank spectrum are given for flat multilayered barriers.

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