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.

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.

The Geometric Errors Identification of New Methods in Four-Axis Machining Center Axis

2012 ◽  
Vol 220-223 ◽  
pp. 348-354 ◽  
Author(s):  
Shuan Qiang Yang ◽  
Shu Wen Lin
Keyword(s):  
Geometric Error ◽  
Identification Accuracy ◽  
Geometric Errors ◽  
Sensitivity Matrix ◽  
Error Identification ◽  
Rotary Axes ◽  
Machining Center ◽  
Rational Distribution ◽  
Ball Bar ◽  
Center Axis

A method for fast measuring and identify the six geometric errors of each rotary axes in Four- axis machining center was invented. The method adopted the ball-bar to measure the X, Y, Z direction deviations of the centre block installed on the rotary table in the different rotation angle. And deduced the geometric error identification model in rotary axes based homogeneous transformation, and then identify the axis of the six basic geometric errors. in order to reduce the influence of the inaccuracy of the ball-bar and the reference point position, this paper put forward new method based on the analysis of the sensitivity matrix method, used to guide rational distribution points, so as to improve the error identification accuracy.

Accuracy evaluation of rotary axes of five-axis machine tools with a single setup of a double ball bar

2016 ◽  
Vol 231 (3) ◽  
pp. 427-436 ◽  
Author(s):  
Xiaogeng Jiang ◽  
Robert J Cripps
Keyword(s):  
Machine Tool ◽  
Machine Tools ◽  
Dynamic Performance ◽  
Second Step ◽  
Accuracy Evaluation ◽  
Rotary Axes ◽  
Double Ball Bar ◽  
Ball Bar ◽  
Five Axis ◽  
Rotary Type

A double ball bar (DBB) is used extensively to evaluate the geometric and dynamic performance of three-axis machine tools by means of the XY, YZ and XZ planar circular tests. However, research using a DBB to test the rotary axes of five-axis machine tools simply, quickly and effectively is scarce. In this paper, a method having two steps to identify the imprecision of the rotary axes caused by the position-independent geometric errors (PIGEs) is presented for a tilting rotary type five-axis machine tool using a DBB. The first step is designed to evaluate two rotary axes with one setup. Its advantage of fast diagnosis effectively reduces the machine down time, and thus can be employed as a quick testing approach of the machine tool. However, if some of the diagnosed errors fall outside their tolerances, a more accurate but slower check needs to be carried out due to the limitation of the first step. The second step aims to test the two rotary axes separately, each in two sub-steps. By means of varying the position of the pivot, the A- and C-axes can be tested individually. Both steps are performed with only one axis moving, thus simplifying the error analysis. Implementation of the proposed methods was carried out on a Hermle C600U five-axis machine tool. To show the validity of the method, the identified PIGEs are compensated for in each step, which suggests that the first step can be used as a fast and preliminary indication of a five-axis machine tool’s performance, whilst the second can be carried out if a more thorough evaluation is needed.

A New and High Precision Measurement Method of Spindle Rotation Induced Error and its Performance Research

2007 ◽  
Vol 10-12 ◽  
pp. 727-731 ◽  
Author(s):  
Z.C. Du ◽  
P. Zhang ◽  
Jian Guo Yang ◽  
M.S. Hong
Keyword(s):  
Frequency Domain ◽  
Measurement Method ◽  
Cnc Machine ◽  
Motion Error ◽  
Machining Center ◽  
Double Ball Bar ◽  
Spindle Rotation ◽  
Ball Bar ◽  
Measuring Experiment ◽  
The Cross

The accuracy of spindle rotation is one of the most important precision indexes of CNC machine tools. And the spindle rotation induced error is one of the main influence factors of cutting accuracy. It will greatly affect the shape precision and surface roughness of workpiece. A new measurement method of the spindle radial rotation induced error is proposed using the cross grid encoder. The Spindle rotation induced error of machining center is analyzed in frequency domain and time-frequency domain separately to comparably study the measurement results by KGM 182 grid encoder and Double ball bar. The results indicate that the performance of the cross grid encoder test for measuring the CNC machine tool motion error is better than that of the Double ball bar, especially in the details of motion errors because of its unique characteristics. A wavelet packet algorithm is developed to analyze the singularity of signal. On machine measuring experiment has been carried out on a new Cincinnati 750 Arrow II vertical machining center. The measuring experiment result shows that the spindle radial rotation induced error of the machining center is about 0.6 μm and the cycle time is every rotation time.

Mathematical Model of a CNC Rotary Table Driven by a Worm Gear

2012 ◽  
Vol 2 (4) ◽  
pp. 27-40 ◽  
Author(s):  
Ryuta Sato
Keyword(s):  
Mathematical Model ◽  
Axial Displacement ◽  
Worm Gear ◽  
Step Response ◽  
Rotary Table ◽  
Unbalanced Mass ◽  
Rotary Axes ◽  
Proposed Model ◽  
Worm Gears

This paper proposes a mathematical model of a CNC rotary table driven by a worm gear. The CNC rotary tables are generally utilized as rotary axes of 5-axis machining centres. In this study, a mathematical model which can simulate dynamic behaviours of rotary table is proposed. The model consists of inertia of motor, spur and worm gears, and table. Axial displacement of the worm is also considered into the model. Various motions are measured and simulated to confirm effectiveness of the model. As the results show, the proposed model can simulate step response, rotational fluctuations, and influence of unbalanced mass.

scholarly journals Feasibility study of logging road elements plan

2021 ◽  
Vol 25 (3) ◽  
pp. 111-117
Author(s):  
S.Yu. Sablin ◽  
◽  
A.V. Skrypnikov ◽  
V.G. Kozlov ◽  
V.S. Prokopets ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Feasibility Study ◽  
Research Work ◽  
Operating Costs ◽  
System A ◽  
Reduced Costs ◽  
Geometric Elements ◽  
The Mathematical Model ◽  
Further Development

The peculiarities of the research work are stated and the need for its further development is shown. Taking into account the structural links and limitations of the system, a mathematical model of the feasibility study of the total reduced costs of the route plan, the longitudinal profile and the width of the carriageway was compiled, which has a various amount of construction and operating costs reduced to the initial year in a predetermined search area. The objective function is determined, which is the main part of the mathematical model including all the elements and connections of the feasibility study of the timber haul roads elements. It is concluded that the search for the optimal combination of geometric elements and the timing of their change is an extreme task, and the best method for solving it is to determine the state of the system corresponding to the minimum value of the objective function, which is the sum of construction and operating costs reduced to the initial year.

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