Apparatus Developments of Ultrasonic Vibration-Assisted Microabrasive Waterjet Polishing

'e experiment apparatus of ultrasonic vibration-assisted microabrasive waterjet polishing is developed.'e simulation model of ultrasonic nozzle is analyzed with the help of ANSYS software. 'e simulation result shows that the ultrasonic vibration leads to a good result that the maximum frequency with the value of 20908Hz is obtained at the outlet of ultrasonic nozzle, and the vibration type is axial mode. 'en the vibration frequency and amplitude of the developed experiment apparatus are tested using the ultrasonic transducer impedance analyzer and the laser displacement sensor. 'e measured result indicates that the vibration frequency is 19099Hz and the amplitude is 22 μm, which means the experiment apparatus is well developed and satisfies the work requirements. 'e verifying experimental result shows that the ultrasonic vibration helps to enhance the machining ability of the abrasive waterjet, and the removal material volume and erosion depth are increased obviously.


Introduction
As one of the fastest growing nonconventional machining processes, abrasive waterjet (AWJ) plays an important role in many manufacturing applications such as cutting [1], surface cleaning [2], and surface treatment [3].In order to achieve ultraprecision polishing glass, vibration has been introduced in the polishing field.Although in some research the type and production method of vibration are different, the assisted objects are all conventional mechanical tools.For example, the vibration could be produced by a vibrator made of a giant magnetostrictive material, and it belongs to mechanical vibration [4,5].Another type of ultrasonic vibration produced by the ultrasonic vibrator is also used to assist the diamond wheel and improve machining efficiency and precision [6].ere is no doubt that in these research studies, the vibration brings good effect on polishing results, but this conventional grinding tool inevitably results in severe thermal damage to workpiece [7,8].However, AWJ as a cold-working process has certain unique advantages, such as no heat deformation, less machining force exertion, and friendly environment [9,10].Also, entrained with abrasive particles, AWJ is able to machine a variety of materials ranging from soft to hard materials [11].Because of very low machining efficiency of AWJ, there are a wide range of parameters needed to be optimized such as system pressure, abrasive flow rate, distance of the standoff, moving velocity, etc [12,13].Meanwhile, relevant research studies [14,15] indicate that the ultrasonic vibration has a positive influence on polishing results by improving the kinetic energy of the abrasive waterjet.Based on the abovementioned analysis, this work aims to develop the experiment apparatus of the ultrasonic vibration-assisted microabrasive waterjet polishing and have the AWJ technology and ultrasonic vibration perfectly combined.
e simulation analysis, parameters testing, and verifying test are as the primary means to obtain the feasible experiment apparatus.

Working Principle and Composition of the Apparatus
e working principle of the ultrasonic vibration-assisted microabrasive waterjet is shown in Figure 1. e ultrasonic vibration generated by the transducer is further enlarged by the amplitude horn, and the maximal amplitude occurs at the nozzle outlet where the best combining effect of highpressure liquid energy and ultrasonic vibration energy is obtained.With the abrasive waterjet injecting from the nozzle, the total combining energy is converted into the impacting kinetic energy.As a consequence of the addition of ultrasonic vibration energy, the impacting kinetic energy of the abrasive waterjet is improved significantly, which leads to more damages to the workpiece.
In order to improve the working performance of ultrasonic nozzle, a combination of horn-type structure is proposed creatively so as to ensure that the maximum vibration amplification factor satisfies the work requirements.
is newly designed horn consists of two halfwavelength horns: the promote part and the output part.
e cascade horn is obtained after a plurality of single horn is connected end to end.e structure of ultrasonic nozzle is shown in Figure 2. Because the horn needs to be drilled, threaded, and corrosion-resistant, the titanium alloy was used.e properties of titanium alloy are shown in Table 1.
Figure 3 shows the experiment apparatus of the ultrasonic vibration-assisted microabrasive waterjet.is experiment apparatus mainly consists of the ultrasonic generator, the transducer, and the amplitude horn.In order to obtain the required working pressure and supply energy to the testing system, the hydraulic intensifier is employed to increase the pressure of low-pressure water by using highpressure gas (it can provide the system with the pressure from 0 to 70 MPa); the abrasive supply device (the mesh of abrasive is 240#) driven by low-pressure gas (the drive pressure is 0.8 MPa) is used to transport the abrasive to the nozzle; the motion-control device is used to drive the moving device of the ultrasonic-assisted waterjet nozzle so as to obtain the desired shape; the supporting recovery device is used to achieve the positioning and clamping of workpiece as well as the collecting of residues.

e Setup of Simulation Model.
According to the work requirements, the working frequency should be about 20 kHz and the amplitude generated at the outlet of ultrasonic nozzle should be about 20 μm. e main parameters of the ultrasonic nozzle are shown in Table 2. Figure 4 is the physical model of modal analysis.Figure 5 is the mesh model of modal analysis.
Due to the merits of plasticity, stress stiffening, large deflection, and large strain, the type of Solid45 element with 8 nodes was used, and the version of ANSYS is 12.0.e block Lanczos was used as the extraction methods, and the frequency search interval was set between 10 and 20 kHz.In the construction process of simulation model, the influence of thread connection was not taken into account so as to simplify the analysis.In other words, the promote part and the output part are considered as a whole instead of individual parts.Since the zero displacement constraint is the only effective load for the modal analysis, the boundary condition is displacement constraint, that is, the displacement in the X, Y, and Z direction is zero.

3.2.
e Simulation Result and Analysis.In the analysis settings, the item of "max modes to find" was set at 8. After the calculation, the corresponding 8 subitems of "total deformation" were applied to the solution item; after the evaluation of all results, 8 vibration modes were extracted, and the natural frequency of the nozzle model was obtained from Figure 6.
According to Figure 6, it indicates that the frequency shown in Figure 6(b) is axial, while the others are torsional and swing, and its value is 20908 Hz, which is close to the required working frequency of 20 kHz.erefore, it is certain that the designed amplitude horn meets the work requirements totally, and the designed parameters of the ultrasonic nozzle do not need to be adjusted.
e reason why there is error between the calculated value of 20908 Hz and the required working frequency of 20 kHz is that the formula for amplitude horn design is an empirical formula, and the optimization problem is involved as well.erefore, the error is inevitable.In addition, the related experimental parameters such as elastic modulus, Poisson ratio, and density and the mesh density of ANSYS software also play an important role in the generation of error.

The Test of Developed Apparatus Parameters
Because the parameters, such as frequency and amplitude, are the important bases for the performance evaluation of the developed apparatus, the impedance analyzer of the ultrasonic transducer and the laser displacement sensor are used to measure the vibration frequency and amplitude of the developed apparatus.

e Measurement of Frequency
4.1.1.e Measurement Method.In order to obtain the optimal frequency, the testing result requires no parasitic circle generated inside the admittance circle and low dynamic impedance, and it requires that the resonant frequency should be close to the required working frequency of 20 kHz.e quality of the piezoelectric patch can be evaluated from the admittance circle figure and the logarithmic coordinate.If there is delamination or crack generated inside the piezoelectric patch, the logarithmic curve will have many peak values and there will be many small parasitic circles inside the admittance circle.Table 3 shows the main technical indexes.Figure 7 shows the frequency measurement of the ultrasonic nozzle.b) and 10(c) is not continuous is that the measurement device was maintained under working condition while the amplitude horn was replaced.Also, it can be found that the fluctuation of amplitude horn 1 is very large; this is mainly because the head of amplitude horn 1 was accidentally destroyed during testing, indicating that the measured position does not belong to the maximum amplitude region.

Verifying Experiment and Its Results
e quartz glass and green silicon carbide were selected as the workpiece and abrasive separately.
e mechanical properties of quartz glass and green silicon carbide are shown in Tables 4 and 5. e quartz glass was eroded in the same point and each eroding time continues for about eight seconds.e experiment parameters are shown in Table 6.
e erosion surface morphology of quartz glass with and without the ultrasonic vibration is shown in Figure 11.It can be noticed that in the absence of ultrasonic vibration, there are fewer erosion pits distributed in the erosion field.After the addition of ultrasonic vibration, not only the number of erosion pits were improved, but the maximum depth of   6 Advances in Materials Science and Engineering erosion pits and the volume of material removal were increased simultaneously.At the same time, the erosion area and the plastic deforming area were expanded slightly as well.
Figure 12 is the effect of vibration on the erosion depth and the material removal volume.It is clear from the picture that with the application of vibration, the erosion   Advances in Materials Science and Engineering depth and the material removal volume maintain the upward trend throughout.erefore, it comes to the conclusion that the ultrasonic vibration improves the eroding capacity of the abrasive waterjet.Meanwhile, this denotes that the performance of this developed apparatus meets the work requirements.

Conclusions
e experiment apparatus of the ultrasonic vibrationassisted microabrasive waterjet polishing is developed.
e simulation model of ultrasonic nozzle is analyzed by the ANSYS software.e simulation result shows that the vibration type of nozzle is the axial mode, and the frequency value is 20908 Hz, which explains the designed parameters of the ultrasonic nozzle are reasonable.e vibration frequency and amplitude of the developed experiment apparatus are tested with the help of the ultrasonic transducer impedance analyzer and the laser displacement sensor.e measured result indicates that the vibration frequency is 19099 Hz and the amplitude is 22 μm, which means the experiment apparatus is well developed and satisfies the work requirements.e polishing experiment on quartz glass is carried out, and the experiment results reflect that the addition of ultrasonic vibration obviously improves the erosion depth and the removal material volume, which means the ultrasonic vibration enhances the machining ability of the microabrasive waterjet greatly.Advances in Materials Science and Engineering

4. 2
.2. e Result and Analysis.According to Figure 10, there is fluctuation generated on the nozzle end-face along the axis.e fluctuation range is 44 μm, 34.6 μm, and 19.57μm, which turns into the amplitude with the valve of 22 μm, 16.8 μm, and 9.8 μm.It indicates that the obtained amplitude and the required working amplitude are coincident approximately.In addition, the reason why the amplitude curve in Figures 10(

Figure 7 :Figure 8 :
Figure 7: e frequency measuring device of the ultrasonic nozzle.

Figure 9 :
Figure 9: e measurement device of amplitude of ultrasonic nozzle.

Figure 11 :
Figure 11: e erosion surface morphology of quartz glass.(a) Without vibration.(b) With vibration.

Figure 12 :
Figure 12: e erosion depth and material removal amount of quartz glass.(a) Erosion depth.(b) Material removal amount.

Table 1 :
e properties of titanium alloy.

Table 3 :
e main technical indexes.

Table 4 :
Mechanical properties of quartz glass.

Table 5 :
Mechanical properties of green silicon carbide.