Mathematical model to predict cutting force in rotary ultrasonic assisted end grinding of Si3N4 considering both ductile and brittle deformation

Measurement ◽  
2020 ◽  
Vol 156 ◽  
pp. 107586
Author(s):  
Mohammad Baraheni ◽  
Saeid Amini
2018 ◽  
Vol 764 ◽  
pp. 252-260
Author(s):  
Feng Jiao ◽  
Cheng Lin Yao ◽  
Li Zhao ◽  
Feng Qi

Hard machinability of titanium alloy material and poor stiffness of thin-walled part restricted the extensive applications of titanium alloy thin-walled component in aerospace engineering. In order to increase geometric accuracy, a method of ultrasonic vibration assisted (UVA) end milling technology with workpiece vibrating in feeding direction was put forward in this paper, and the corresponding milling force characteristics in UVA milling of titanium alloy TC4 thin-walled workpiece were researched. Through theoretical analysis, the path of cutter tooth in UVA milling was analyzed. The important factors that affect milling force are obtained with the signal to noise ratio analysis. Results show that the radial cutting force in UVA milling is smaller than that in traditional milling. Cutting force fluctuate in high frequency when treated ultrasonic vibration. And the axial cutting feed is the core factor that affects the milling force. The research provides a certain reference for the precision milling of titanium alloy thin-walled parts.


2013 ◽  
Vol 797 ◽  
pp. 229-233 ◽  
Author(s):  
Lian Jie Ma ◽  
Xiao Jiang Zhang ◽  
Ya Dong Gong

Through turning experiment of machinable glass ceramics, the characteristics and law of turning force was studied. Results indicated that the overall changing process of cutting force was sinusoidal. If the cyclic fluctuation caused by system vibration was neglected, the changing process of turning force was scalariform. Through designing orthogonal experiment and applying numerical simulation of multiple regressing theory based on least square algorithm, mathematical model of turning force was established related with process parameters. R-test, F-test and P-test were carried out on the model respectively. The test results showed that the model had high precision. It could guide to cut machinable glass ceramics on prediction and controlling of turning force in some degree.


Materials ◽  
2022 ◽  
Vol 15 (2) ◽  
pp. 590
Author(s):  
Jaroslav Kovalčík ◽  
Petr Mašek ◽  
Jan Malý ◽  
Pavel Kožmín ◽  
Jiří Syrovátka

This article focuses on the development of a mathematical model of a cutting force that is applicable for coated and uncoated cutting tool inserts and aims to enable more accurate calculation of the cutting force. Two common PVD coatings, AlTiN and TiAlCrN, were used. Firstly, a mathematical model of the cutting force based on the specific cutting force and cutting area is proposed. This mathematical model considers the cutting speed and coating correction factor as well as the real cutting edge geometry, i.e., it includes both the straight and rounded parts of the cutting edge. For this proposed model, material constants for C45 steel, which was machined with uncoated inserts, were obtained. Before determining an equation for a coating correction factor and implementing it into the model, experimental cutting force data for coated and uncoated inserts were compared using a paired t-test. The result was that the difference between them was statistically significant. Their percentage difference was found to be up to 4%. The correction factor equation that was obtained and implemented into the mathematical model was applied to compare the calculated and experimental data of the coated inserts, also using a paired t-test. The result was that the difference between them was insignificant. Moreover, their percentage difference was found to be up to 0.6%.


Metals ◽  
2020 ◽  
Vol 10 (6) ◽  
pp. 840 ◽  
Author(s):  
Rashid Ali Laghari ◽  
Jianguang Li ◽  
Mozammel Mia

Cutting force in the machining process of SiCp/Al particle reinforced metal matrix composite is affected by several factors. Obtaining an effective mathematical model for the cutting force is challenging. In that respect, the second-order model of cutting force has been established by response surface methodology (RSM) in this study, with different cutting parameters, such as cutting speed, feed rate, and depth of cut. The optimized mathematical model has been developed to analyze the effect of actual processing conditions on the generation of cutting force for the turning process of SiCp/Al composite. The results show that the predicted parameters by the RSM are in close agreement with experimental results with minimal error percentage. Quantitative evaluation by using analysis of variance (ANOVA), main effects plot, interactive effect, residual analysis, and optimization of cutting forces using the desirability function was performed. It has been found that the higher depth of cut, followed by feed rate, increases the cutting force. Higher cutting speed shows a positive response by reducing the cutting force. The predicted and experimental results for the model of SiCp/Al components have been compared to the cutting force of SiCp/Al 45 wt%—the error has been found low showing a good agreement.


2020 ◽  
pp. 55-60
Author(s):  
YU.V. Dimov ◽  
D.B. Podashev

The thermal processes that occur during processing with elastic abrasive wheels (EAW) are analyzed. The calculation of heat from the impact of a single abrasive grain and the temperature of the billet during processing, which should be lower than the melting temperature of the EAW polymer binder, is proposed. The adequacy of the mathematical model is confirmed by experiments. Keywords: ELASTIC ABRASIVE WHEEL, MICRORELIEF, CUTTING FORCE, TEMPERATURE, PROCESSING MODE. [email protected]


2013 ◽  
Vol 770 ◽  
pp. 272-275 ◽  
Author(s):  
Feng Jiao ◽  
Feng Bian Li ◽  
Peng Duan

Based on the application of elliptical vibration cutting method to precision machining of hard and brittle materials and material softening technology through laser heating, a novel composite cutting technique, laser heating and ultrasonic elliptical vibration assisted cutting, is applied to process sintered tungsten carbide. The simulation of the orthogonal cutting process and the effect of frequency and amplitude of vibration and laser heating temperature on cutting force are discussed by using FEA method. Research results have revealed that the main peak of the transient force components increase with the increase of vibration frequency, decrease with the increase of vibration amplitude and laser heating temperature. Moreover, the friction reversal phenomenon is improved with the increase of vibration frequency and amplitude, resulting in the decrease of average cutting force. Compared to common cutting and traditional one-dimensional ultrasonic vibration cutting, the composite cutting technology put forward in this paper has unique cutting force characteristics for such super hard material because of combined action of friction reversal and intermittence cutting for ultrasonic elliptical vibration and material softening for laser heating. The research in the paper has provided a practical reference for the further experiments of laser and ultrasonic assisted cutting.


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