A Mathematical Model for Predicting Cutting Force in Rotary Ultrasonic Drilling

2012 ◽  
Vol 433-440 ◽  
pp. 2034-2041 ◽  
Author(s):  
Cheng Long Zhang ◽  
Ping Fa Feng ◽  
Zhi Jun Wu ◽  
Ding Wen Yu

Rotary ultrasonic machining is a hybrid machining process that combines diamond grinding and ultrasonic machining. The mathematical predictive material removal rate models have been developed in rotary ultrasonic machining with a constant pressure. However, there is no report on mathematical predictive cutting force model in rotary ultrasonic drilling at a constant feedrate presently. Since cutting force can not only reflect the processing state, but also affect the machined surface quality, it is necessary to develop a mathematical model for predicting cutting force which can forecast the machining results. This paper presents a mathematical model to predict the cutting force in rotary ultrasonic machining. On the basis of this model, the relations between cutting force and controllable machining parameters are researched by numerical computation method. This paper also researches the influences of spindle speed and feedrate on cutting force by experiments. The results observed through the experiments agree well with the relations generated from the mathematical model, which verify the developed model.

Author(s):  
Milan Naď ◽  
Lenka Čičmancová ◽  
Štefan Hajdu

Abstract Rotary ultrasonic machining (RUM) is a hybrid process that combines diamond grinding with ultrasonic machining. It is most suitable to machine hard brittle materials such as ceramics and composites. Due to its excellent machining performance, RUM is very often applied for drilling of hard machinable materials. In the final phase of drilling, the edge deterioration of the drilled hole can occur, which results in a phenomenon called edge chipping. During hole drilling, a change in the thickness of the bottom of the drilled hole occurs. Consequently, the bottom of the hole as a plate structure is exposed to the transfer through the resonance state. This resonance state can be considered as one of the important aspects leading to edge chipping. Effects of changes in the bottom thickness and as well as the fillet radius between the wall and bottom of the borehole on the stress-strain states during RUM are analyzed.


2021 ◽  
Vol 3 (7) ◽  
Author(s):  
Rashid Ali Laghari ◽  
Jianguang Li

Abstract In this study, the proposed experimental and second-order model for the cutting forces were developed through several parameters, including cutting speed, feed rate, depth of cut, and two varying content of SiCp. Cutting force model was developed and optimized through RSM and compared for two different percentages of components SiCp/Al 45% and SiCp/Al 50%. ANOVA is used for Quantitative evaluation, the main effects plot along with the evaluation using different graphs and plots including residual analysis, contour plots, and desirability functions for cutting forces optimization. It provides the finding for choosing proper parameters for the machining process. The plots show that during increment with depth of cut in proportion with feed rate are able to cause increments in cutting forces. Higher cutting speed shows a positive response in both the weight percentage of SiCp by reducing the cutting force because of higher cutting speed increases. A very fractional increasing trend of cutting force was observed with increasing SiCp weight percentages. Both of the methods such as experiment and model-predicted results of SiCp/Al MMC materials were thoroughly evaluated for analyzing cutting forces of SiCp/Al 45%, and SiCp/Al 50%, as well as calculated the error percentages also found in an acceptable range with minimal error percentages. Article Highlights This study focuses on the effect of cutting parameters as well as different percentage of SiC particles on the cutting forces, while comparing the results of both SiC particles such as SiCp/Al 45%, and SiCp/Al 50% the result shows that there isn’t fractional amount of impact on the cutting force with nominal increasing percentages of SiC particles. Cutting speed in machining process of SiCp/Al shows positive response in reducing the cutting forces, however, increasing amount of depth of cut followed by increasing feed rate creates fluctuations in cutting force and thus increases the cutting force in the cutting process. The developed RSM mathematical model which is based on the box Behnken design show excellent competence for predicting and suggesting the machining parameters for both SiCp/Al 45%, and SiCp/Al 50% and the RSM mathematical model is feasible for optimization of the machining process with good agreement to experimental values.


2018 ◽  
Vol 10 (1) ◽  
pp. 168781401775078 ◽  
Author(s):  
Saqib Anwar ◽  
Mustafa M Nasr ◽  
Abdulrahman Al-Ahmari ◽  
Mohammed Alkahtani ◽  
Basem Abdo ◽  
...  

This article presents the use of the rotary ultrasonic machining process for drilling holes in Ti6Al4V alloy which is regarded as a difficult-to-cut material due to its high-temperature strength and low thermal conductivity. This research presents an experimental investigation on the effect of the key rotary ultrasonic machining input parameters including ultrasonic power, spindle speed, feed rate, and the tool diameter on the main output responses including cutting force, hole cylindricity and overcut errors, and tool wear. No previous reports were found in literature to experimentally investigate the effect of the rotary ultrasonic machining parameters and the tool diameter on tool wear, surface integrity, and the accuracy of the drilled holes in Ti6Al4V alloy. The results showed that the rotary ultrasonic machining input parameters within the current ranges can significantly affect the quality of the drilled holes. Through proper selection of input parameters, holes could be drilled in Ti6Al4V alloy with smoothed surface morphology, low tool wear (0.7 mg) and very low cylindricity (2 µm) and overcut (120 µm) errors. Moreover, it was found that the selected level of any input parameter has the ability to significantly affect the influence of the other input parameters on the output responses.


Author(s):  
Song Dong ◽  
Wenhe Liao ◽  
Kan Zheng ◽  
Wenrui Ma

The stacks of carbon fiber-reinforced polymer (CFRP) and aluminum are widely used in aviation industry due to its excellent mechanical and physical properties. Recently, rotary ultrasonic drilling technology which is recognized as a useful machining method has been introduced to machining these stacks. Thrust force influences the machinability directly such as tool wear, cutting temperature, and hole qualities. In this study, a theoretical model of thrust force for rotary ultrasonic drilling of CFRP/aluminum stacks is proposed. Based on the analysis of kinematic characteristics, the axial uncut chip thickness of rotary ultrasonic drilling is presented. Then the whole machining process of stacks is divided into five different states. Forces on cutting edge and chisel edge in different materials are modeled, respectively. After that, the thrust forces of five-state rotary ultrasonic drilling process are achieved by integrating with integral limits analysis in each state. Finally, verification experiments are conducted, and experimental results show that the trends of thrust forces agree well with the thrust force model. Therefore, this theoretical model can be used to evaluate the thrust force in rotary ultrasonic drilling of CFRP/aluminum stacks.


2011 ◽  
Vol 264-265 ◽  
pp. 1160-1165
Author(s):  
Anayet Ullah Patwari ◽  
A.K.M. Nurul Amin ◽  
Waleed Fekry Faris

Dynamic change in cutting force is one of the major causes of chatter formation in metal cutting which affect machining accuracy. Thus, accurate modeling of cutting force is necessary for the prediction of machining performance and determination of the mechanisms and machining parameters that affect the stability of machining operations. The present paper discusses the development of a mathematical model for predicting the tangential cutting force produced in endmilling operation of Ti6Al4V. The mathematical model for cutting force prediction has been developed in terms of the input cutting parameters cutting speed, feed rate, and axial depth of cut using response surface methodology (RSM). Effects of all the individual cutting parameters on cutting force as well as their interactions are investigated in this study. Central composite design was employed in developing the cutting force model in relation to the primary cutting parameters. The experimental results indicate that the proposed mathematical models suggested could adequately describe the performance indicators within the limits of the factors that are being investigated.


2021 ◽  
Author(s):  
Fan Chen ◽  
Wenbo Bie ◽  
Yingli Chang ◽  
Bo Zhao ◽  
Xiaobo Wang ◽  
...  

Abstract Ceramics and other hard-and-brittle materials are very effectively processed by longitudinal-torsional coupled rotary ultrasonic machining (LTC-RUM). However, the cutting force evolution and the effects of processing parameters on the material removal mechanism in LTC-RUM need to be clarified for machining optimization. This paper proposes a cutting force model of the LTC-RUM of zirconia ceramics via the brittle material removal mechanism. Firstly, the kinematic analysis of a single abrasive grain was performed, with further consideration of the material removal volume, the effective contact time, and the impact force per one ultrasonic vibration cycle. Then, the longitudinal-torsional coupled vibration of the core tool was analyzed from the standpoint of wave energy conversion. The analytical model was finalized and experimentally verified by LTC-RUM tests. The cutting force curves predicted via the proposed model were in good agreement with the experimental results. The results obtained are considered instrumental in predicting the effects of processing parameters on cutting force during LTC-RUM of ceramics and their further optimization.


Author(s):  
Palamandadige Fernando ◽  
Meng Zhang ◽  
Zhijian Pei

Drilling is the most common machining practice conducted on carbon fiber reinforced plastics (CFRP), which is challenging to conventional machining processes, such as twist drilling. Rotary ultrasonic machining (RUM) is a non-traditional machining process that has been successfully used to drill CFRP, many other brittle (e.g. silicon, ceramics), and ductile (e.g. titanium alloy (Ti-6Al-4V), stainless steel) materials. RUM is superior to twist drilling on CFRP hole-making in many aspects: lower cutting force and torque, better surface finish, less potential for delamination, and better tool life. Since RUM is a hybrid process of abrasive grinding and ultrasonic machining, it is important to study the effects of abrasive properties on output variables. This paper for the first time investigates the effects of abrasive properties (abrasive size and abrasive concentration) on output variables (cutting force, torque, and surface roughness) in RUM of CFRP. It is found that cutting force increased as abrasive size increased and as abrasive concentration increased; however, abrasive properties did not have significant effects on surface roughness of the machined holes.


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