CN113941872B - Double-excitation ultrasonic elliptic vibration cutting device and optimal design method thereof - Google Patents

Double-excitation ultrasonic elliptic vibration cutting device and optimal design method thereof Download PDF

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CN113941872B
CN113941872B CN202111319914.0A CN202111319914A CN113941872B CN 113941872 B CN113941872 B CN 113941872B CN 202111319914 A CN202111319914 A CN 202111319914A CN 113941872 B CN113941872 B CN 113941872B
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ultrasonic
amplitude transformer
ultrasonic transducer
horn
transduction
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CN113941872A (en
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王健健
张建富
杨金川
冯平法
吴志军
郁鼎文
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Tsinghua University
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Tsinghua University
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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B23MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23PMETAL-WORKING NOT OTHERWISE PROVIDED FOR; COMBINED OPERATIONS; UNIVERSAL MACHINE TOOLS
    • B23P25/00Auxiliary treatment of workpieces, before or during machining operations, to facilitate the action of the tool or the attainment of a desired final condition of the work, e.g. relief of internal stress
    • B23P25/003Auxiliary treatment of workpieces, before or during machining operations, to facilitate the action of the tool or the attainment of a desired final condition of the work, e.g. relief of internal stress immediately preceding a cutting tool
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02PCLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
    • Y02P70/00Climate change mitigation technologies in the production process for final industrial or consumer products
    • Y02P70/10Greenhouse gas [GHG] capture, material saving, heat recovery or other energy efficient measures, e.g. motor control, characterised by manufacturing processes, e.g. for rolling metal or metal working

Abstract

The invention relates to a double-excitation ultrasonic elliptical vibration cutting device and an optimal design method thereof. The double-excitation ultrasonic elliptical vibration cutting device comprises: a first ultrasonic structure comprising a first horn, a first connector, and a first ultrasonic transducer; the second ultrasonic structure comprises a second amplitude transformer, a second connector and a second ultrasonic transducer; the connecting structure comprises a connecting main body, a first connecting end and a second connecting end, wherein the first connecting end is used for connecting the first amplitude transformer, and the second connecting end is used for connecting the second amplitude transformer; the cutter is arranged on the connecting main body, and the cutter point of the cutter is used for executing cutting action; and the controller is electrically connected with the first ultrasonic transducer and the second ultrasonic transducer, and adjusts the phase difference between the first power supply signal and the second power supply signal to enable the knife tip position of the knife to be combined into an elliptical vibration track. The accuracy of cutter cutting is improved, cutting accuracy is guaranteed, and cutting quality is further guaranteed.

Description

Double-excitation ultrasonic elliptic vibration cutting device and optimal design method thereof
Technical Field
The invention relates to the technical field of mechanical cutting systems, in particular to a double-excitation ultrasonic elliptical vibration cutting device and an optimal design method thereof.
Background
Ultrasonic elliptic vibration cutting is a special processing technology for adding ultrasonic vibration to props or workpieces to enable a tool nose of a tool to generate a periodic elliptic track of ultrasonic frequency on a motion path in the cutting process so as to obtain a high-quality surface, namely a surface microstructure morphology. The ultrasonic elliptic vibration cutting system is divided into three main parts of a transducer, an amplitude transformer and a processing cutter. The amplitude transformer is a core main part of the ultrasonic elliptical vibration cutting system, amplifies the amplitude and transmits the amplitude to the knife tip to generate vibration coupling, so that an elliptical vibration track is formed, and the arrangement layout of the amplitude transformer directly influences the elliptical motion track at the knife tip.
For the processed target surface and micro-texture, the ultrasonic elliptical vibration cutting system can realize micro-nano vibration tracks, is favorable for greatly improving the surface quality and realizing the forming processing of the surface micro-texture, and therefore, the research and development and the optimal design of the ultrasonic elliptical vibration cutting device become hot spots for research.
According to metal cutting theory and related research, the ultrasonic elliptic vibration cutting technology belongs to one of intermittent cutting, and the elliptic track of the ultrasonic elliptic vibration cutting technology can directly influence the cutting speed, the cutting depth and the effective cutting contact area in the dynamic cutting process, so that the roughness, the smoothness, the residual stress, the surface damage degree and the like of a processed surface are influenced. Because the structural design of the ultrasonic elliptical vibration cutting device directly influences the elliptical vibration track, and the processing quality requirement has different pose requirements on the elliptical track, the optimal cutting quality in the optimal cutting parameter state is achieved. However, the accuracy of the conventional ultrasonic elliptical vibration cutting device is not high, so that the cutting accuracy and the cutting quality are affected.
Disclosure of Invention
Based on the above, it is necessary to provide a dual-excitation ultrasonic elliptical vibration cutting device capable of ensuring cutting accuracy and an optimal design method thereof, aiming at the problem that the accuracy of the existing ultrasonic elliptical vibration cutting device is not high.
A dual excitation ultrasonic elliptical vibration cutting device comprising:
the first ultrasonic structure comprises a first amplitude transformer, a first connector and a first ultrasonic transducer, wherein the first connector is connected with the first amplitude transformer and the first ultrasonic transducer;
the second ultrasonic structure comprises a second amplitude transformer, a second connector and a second ultrasonic transducer, and the second connector is connected with the second amplitude transformer and the second ultrasonic transducer;
the connecting structure comprises a connecting main body, a first connecting end and a second connecting end, wherein the first connecting end is arranged on the connecting main body and is used for being connected with the first amplitude transformer, the second connecting end is used for being connected with the second amplitude transformer, and a preset included angle exists between the first connecting end and the second connecting end;
the cutter is arranged on the connecting main body, and the cutter point of the cutter is used for executing cutting action; and
and the controller is electrically connected with the first ultrasonic transducer and the second ultrasonic transducer, and adjusts a first power signal of the first ultrasonic transducer and a second power signal of the second ultrasonic transducer so as to adjust a phase difference between the first power signal and the second power signal, so that the cutter point position of the cutter synthesizes an elliptical vibration track.
In one embodiment, the first ultrasonic transducer comprises a first transduction power source and a first transduction body, wherein the first transduction power source supplies power to the first transduction body and is electrically connected with the controller and the first transduction body;
the second ultrasonic transducer comprises a second transduction power supply and a second transduction main body, wherein the second transduction power supply supplies power to the second transduction main body and is electrically connected with the controller and the second transduction main body;
the controller can adjust a first power signal of the first transduction power supply and a second power signal of the second transduction power supply to enable the first transduction body and the second transduction body to adjust phase differences of the first amplitude transformer and the second amplitude transformer so as to adjust actual resonance frequencies of the first amplitude transformer and the second amplitude transformer.
In one embodiment, the first connector is a stud, the first amplitude transformer has a first mounting hole, the first ultrasonic transducer has a second mounting hole, and two ends of the first connector are respectively mounted in the first mounting hole and the second mounting hole, and the end face of the first amplitude transformer is abutted against the end face of the first ultrasonic transducer;
The second connector is a stud, the second amplitude transformer is provided with a third mounting hole, the second ultrasonic transducer is provided with a fourth mounting hole, two ends of the second connector are respectively mounted in the third mounting hole and the fourth mounting hole, and the end face of the second amplitude transformer is abutted with the end face of the second ultrasonic transducer.
In one embodiment, the first horn comprises a first support segment and a first transition segment, one end of the first support segment is connected to the first transition segment, the other end of the first support segment is connected to the first ultrasonic transducer through the first connector, and the first transition segment is connected to the first connector;
the second amplitude transformer comprises a second supporting section and a second transition section, one end of the second supporting section is connected with the second transition section, the other end of the second supporting section is connected with the second ultrasonic transducer through the second connector, and the second transition section is connected with the second connecting end.
In one embodiment, the first support section is provided with a first fixed joint surface, the second support section is provided with a second fixed joint surface, first fulcrums are arranged on two sides of the first fixed joint surface, and the first support section is fixed through the first fulcrums; second supporting points are arranged on two sides of the second supporting section, and the second supporting section is fixed through the second supporting points.
In one embodiment, the distance from the end of the first support section away from the first transition section to the first fixed joint surface, the length of the first transition section, the distance from the end of the second support section away from the second transition section to the second fixed joint surface, and the length of the second transition section are determined according to the actual resonant frequencies of the first ultrasonic transducer and the second ultrasonic transducer and the resonance difference of the two;
the first horn is the same length as the second horn.
In one embodiment, the end of the first horn has a first stud projecting therefrom, the first connecting end having a first threaded bore, the first stud engaging the first threaded bore to abut the end of the first horn with the end of the first connecting end;
the end part of the second amplitude transformer is provided with a convex second stud, the second connecting end is provided with a second screw hole, and the second stud is matched with the first screw hole to enable the end part of the second amplitude transformer to be abutted with the end part of the second connecting end.
In one embodiment, the connecting structure further includes a third connecting end, the third connecting end is disposed on a side surface of the connecting body and located on an extension line of a middle line between the first connecting end and the second connecting end, and the third connecting end is used for installing the cutter.
An optimal design method of a double-excitation ultrasonic elliptical vibration cutting device, which is applied to the double-excitation ultrasonic elliptical vibration cutting device according to any technical characteristics, comprises the following steps:
setting preset resonant frequency and working frequency of the first ultrasonic transducer and the second ultrasonic transducer, and designing and determining initial preset sizes of the first amplitude transformer and the second amplitude transformer according to a 1/4 wavelength principle;
the first amplitude transformer, the first connector, the first ultrasonic transducer, the second amplitude transformer, the second connector, the second ultrasonic transducer and the connecting structure are connected to form the double-excitation ultrasonic elliptic vibration cutting device;
and decoupling and optimally designing the first ultrasonic structure and the second ultrasonic structure, and determining the final sizes of the first amplitude transformer and the second amplitude transformer.
In one embodiment, the step of decoupling and optimizing the first ultrasonic structure and the second ultrasonic structure to determine the final dimensions of the first horn and the second horn comprises:
inputting a first voltage signal to the first ultrasonic transducer and inputting a second voltage signal to the second ultrasonic transducer;
Acquiring a first resonant frequency of the first amplitude transformer and a second resonant frequency of the second amplitude transformer;
comparing the first resonant frequency, the second resonant frequency and the target resonant frequency to obtain an adjustment difference value;
and adjusting the length of a first supporting section and/or a first transition section in the first amplitude transformer according to the adjustment difference value, and adjusting the length of a second supporting section and/or a second transition section in the second amplitude transformer so that the first resonance frequency and the second resonance frequency are close to the target resonance frequency.
In one embodiment, the step of decoupling and optimizing the first ultrasonic structure and the second ultrasonic structure to determine the final dimensions of the first horn and the second horn further comprises:
controlling the phase difference between the first voltage signal and the second voltage signal to be 0 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference;
and controlling the phase difference between the first voltage signal and the second voltage signal to be 180 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference.
After the technical scheme is adopted, the invention has at least the following technical effects:
according to the double-excitation ultrasonic elliptical vibration cutting device and the optimal design method thereof, a first connector is connected with a first ultrasonic transducer and a first amplitude transformer, a second connector is connected with a second ultrasonic transducer and a second amplitude transformer, the first amplitude transformer is connected with a first connecting end of a connecting structure, the second amplitude transformer is connected with a second connecting end of the connecting structure, and a cutter is further arranged on the connecting structure. The controller is electrically connected with the first ultrasonic transducer and the second ultrasonic transducer. When the ultrasonic elliptical vibration cutting device works, the controller controls the first ultrasonic transducer and the second ultrasonic transducer to work, and adjusts the voltage and the phase difference of the first ultrasonic transducer and the second ultrasonic transducer, so that the amplitude and the phase of the first amplitude transformer and the second amplitude transformer are adjusted, the tool tip of the cutter can realize longitudinal vibration coupling and motion synthesis generated by the first amplitude transformer and the second amplitude transformer, the tool tip of the cutter can output an elliptical vibration track, the problem that the accuracy of the conventional ultrasonic elliptical vibration cutting device is not high is effectively solved, the cutting accuracy of the cutter is improved, the cutting accuracy is guaranteed, and the cutting quality is further guaranteed.
Drawings
FIG. 1 is a schematic diagram of a dual excitation ultrasonic elliptical vibration cutting device according to an embodiment of the present invention;
FIG. 2 is a partial cross-sectional view of a first ultrasonic structure in the dual excitation ultrasonic elliptical vibration cutting device shown in FIG. 1;
FIG. 3 is a perspective view of a connection structure in the dual excitation ultrasonic elliptical vibration cutting device shown in FIG. 1;
fig. 4 is a front view of the connection structure shown in fig. 3;
FIG. 5 is a schematic diagram of resonance in an ideal state of the dual excitation ultrasonic elliptical vibration cutting device shown in FIG. 1;
FIG. 6 is a schematic diagram of the vibratory decoupling of the dual excitation ultrasonic elliptical vibration cutting device shown in FIG. 5;
FIG. 7 is a schematic illustration of the dimensions of the first horn in the first ultrasonic configuration illustrated in FIG. 2;
FIG. 8 is a schematic diagram of vibration trajectories of the dual-excitation ultrasonic elliptical vibration cutting device of FIG. 1 after different phase difference adjustment;
fig. 9 is a graph showing the trend of the amplitude output in the X and Y directions at an arbitrary layout angle θ;
fig. 10 is a graph showing the trend of the resonance frequency in the X and Y directions at an arbitrary layout angle θ;
FIG. 11 is an axial resonance frequency vs. l of the first horn 1 、l 2 Dimensional relationships;
FIG. 12 is a graph of tangential resonant frequency versus l for the first horn 1 、l 2 Dimensional relationships;
FIG. 13 shows the difference in axial and tangential resonant frequencies and l of the first horn 1 、l 2 Dimensional relationships.
Wherein: 100. a double-excitation ultrasonic elliptical vibration cutting device; 110. a first ultrasonic structure; 111. a first ultrasonic transducer; 112. a first horn; 1121. a first support section; 1122. a first transition section; 1123. a first fixed joint surface; 1124. a first stud; 113. a first connector; 114. a first fixed fulcrum; 120. a second ultrasound structure; 121. a second ultrasonic transducer; 122. a second horn; 1221. a second fixed joint surface; 123. a second fixed fulcrum; 130. a connection structure; 131. a first connection end; 132. a second connection end; 133. a third connection end; 134. a circular arc transition section; 140. a cutter.
Detailed Description
In order that the above objects, features and advantages of the invention will be readily understood, a more particular description of the invention will be rendered by reference to the appended drawings. In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention. The present invention may be embodied in many other forms than described herein and similarly modified by those skilled in the art without departing from the spirit of the invention, whereby the invention is not limited to the specific embodiments disclosed below.
In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "length", "width", "thickness", "upper", "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", "clockwise", "counterclockwise", "axial", "radial", "circumferential", etc. indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings are merely for convenience in describing the present invention and simplifying the description, and do not indicate or imply that the device or element being referred to must have a specific orientation, be configured and operated in a specific orientation, and therefore should not be construed as limiting the present invention.
Furthermore, the terms "first," "second," and the like, are used for descriptive purposes only and are not to be construed as indicating or implying a relative importance or implicitly indicating the number of technical features indicated. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include at least one such feature. In the description of the present invention, the meaning of "plurality" means at least two, for example, two, three, etc., unless specifically defined otherwise.
In the present invention, unless explicitly specified and limited otherwise, the terms "mounted," "connected," "secured," and the like are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally formed; can be mechanically or electrically connected; either directly or indirectly, through intermediaries, or both, may be in communication with each other or in interaction with each other, unless expressly defined otherwise. The specific meaning of the above terms in the present invention can be understood by those of ordinary skill in the art according to the specific circumstances.
In the present invention, unless expressly stated or limited otherwise, a first feature "up" or "down" a second feature may be the first and second features in direct contact, or the first and second features in indirect contact via an intervening medium. Moreover, a first feature being "above," "over" and "on" a second feature may be a first feature being directly above or obliquely above the second feature, or simply indicating that the first feature is level higher than the second feature. The first feature being "under", "below" and "beneath" the second feature may be the first feature being directly under or obliquely below the second feature, or simply indicating that the first feature is less level than the second feature.
It will be understood that when an element is referred to as being "fixed" or "disposed" on another element, it can be directly on the other element or intervening elements may also be present. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or intervening elements may also be present. The terms "vertical," "horizontal," "upper," "lower," "left," "right," and the like are used herein for illustrative purposes only and are not meant to be the only embodiment.
Referring to fig. 1-4 and 7, the present invention provides a dual-excitation ultrasonic elliptical vibration cutting apparatus 100. The dual-excitation ultrasonic elliptical vibration cutting device 100 is used for cutting a workpiece, but the cutting accuracy and the cutting quality of the existing ultrasonic elliptical vibration cutting are affected by the problem that the accuracy of the existing ultrasonic elliptical vibration cutting is not high. Therefore, the invention provides the novel double-excitation ultrasonic elliptical vibration cutting device 100, which ensures cutting precision, avoids the influence of roughness, smoothness, residual stress and surface damage degree of a machined surface on a workpiece, and further ensures cutting quality.
Referring to fig. 1 to 4 and 7, in one embodiment, the dual-excitation ultrasonic elliptical vibration cutting apparatus 100 includes a first ultrasonic structure 110, a second ultrasonic structure 120, a connection structure 130, a cutter 140, and a controller. The first ultrasonic structure 110 comprises a first horn 112, a first connector 113, and a first ultrasonic transducer 111, the first connector 113 connecting the first horn 112 with the first ultrasonic transducer 111. The second ultrasonic structure 120 comprises a second horn 122, a second connector, and a second ultrasonic transducer 121, wherein the second connector connects the second horn 122 and the second ultrasonic transducer 121.
The connecting structure 130 comprises a connecting body, a first connecting end 131 and a second connecting end 132, wherein the first connecting end 131 is used for connecting the first amplitude transformer 112, the second connecting end 132 is used for connecting the second amplitude transformer 122, and a preset included angle exists between the first connecting end 131 and the second connecting end 132. The cutter 140 is disposed on the connection body, and a tip of the cutter 140 is used to perform a cutting operation. The controller is electrically connected to the first ultrasonic transducer 111 and the second ultrasonic transducer 121, and adjusts a first power signal of the first ultrasonic transducer 111 and a second power signal of the second ultrasonic transducer 121 to adjust a phase difference between the first power signal and the second power signal, so that a knife tip position of the knife 140 synthesizes an elliptical vibration track.
The first ultrasonic structure 110 and the second ultrasonic structure 120 are main structures of an ultrasonic system in the dual-excitation ultrasonic elliptical vibration cutting device 100, and when in operation, the first ultrasonic structure 110 can generate corresponding vibration and output corresponding amplitude, and the second ultrasonic structure 120 can generate corresponding vibration and output corresponding amplitude. Ultrasonic elliptical vibration cutting is achieved by the corresponding vibrations generated by the first ultrasonic structure 110 and the second ultrasonic structure 120.
The connection structure 130 is capable of connecting the first ultrasonic structure 110, the second ultrasonic structure 120, and the tool 140. Specifically, one end of the first ultrasonic structure 110 is connected to the connection structure 130, one end of the second ultrasonic structure 120 is also connected to the connection structure 130, an included angle exists between the first ultrasonic structure 110 and the second ultrasonic structure 120, and the cutter 140 is mounted at an end of the connection structure 130. The connection between the first ultrasonic structure 110, the second ultrasonic structure 120 and the tool 140 is established by the connection structure 130.
Vibrations generated by the first and second ultrasonic structures 110 and 120 are transferred to the connection structure 130, the vibrations of the first and second ultrasonic structures 110 and 120 are coupled through the connection structure 130, and the coupled vibrations are transferred to the tool 140. When the cutter 140 is used for cutting, the sword of the cutter 140 can carry out ultrasonic elliptical cutting on the surface of a workpiece, and an elliptical vibration track is formed on the surface of the cutter 140.
The controller is electrically connected with the first ultrasonic structure 110 and the second ultrasonic structure 120, the controller can adjust the phase of the first power signal of the first ultrasonic structure 110, and can also adjust the phase of the second power signal of the second ultrasonic structure 120, so that a phase difference is generated between the first power signal and the second power signal, and the phase difference is coupled at the connecting structure 130 to enable the tool nose of the tool 140 to make elliptical cutting motion, so that the cutting precision of the processing surface of a workpiece is ensured, and the processing quality of the workpiece is ensured.
Specifically, the first ultrasonic structure 110 includes a first ultrasonic transducer 111, a first connector 113, and a first horn 112, and the first connector 113 connects the first ultrasonic transducer 111 and the first horn 112 to form an integral structure. The second ultrasonic structure 120 includes a second ultrasonic transducer 121, a second connector, and a second horn 122, the second connector connecting the second ultrasonic transducer 121 and the second horn 122 to form an integral structure.
The end of the first horn 112 remote from the first ultrasonic transducer 111 is connected to a first connecting end 131 of the connecting structure 130, the end of the second horn 122 remote from the second ultrasonic transducer 121 is connected to a second connecting end 132 of the connecting structure 130, and the cutter 140 is mounted on the connecting structure 130. The controller is connected with the first ultrasonic transducer 111 and the second ultrasonic transducer 121, and can adjust the first power supply signal rate of the first ultrasonic transducer 111, adjust the second power supply signal of the second ultrasonic transducer 121, and adjust the phase difference between the first power supply signal and the second power supply signal. In this way, the first horn 112 and the second horn 122 generate corresponding vibrations, and are coupled by the connection structure 130, and after the connection structure 130 couples the vibrations of the first horn 112 and the second horn 122, the coupled vibrations can be transferred to the cutter 140, and when the cutter 140 performs tangential operation, the coupled vibrations can enable the cutter tip to perform elliptical cutting motion.
When the dual-excitation ultrasonic elliptical vibration cutting device 100 in the above embodiment works, the controller controls the first ultrasonic transducer 111 and the second ultrasonic transducer 121 to work, and adjusts the voltage and the phase difference of the first ultrasonic transducer 111 and the second ultrasonic transducer 121, so as to adjust the amplitude and the phase of the first amplitude transformer 112 and the second amplitude transformer 122, so that the cutter tip of the cutter 140 can realize the longitudinal vibration coupling and the motion synthesis generated by the first amplitude transformer 112 and the second amplitude transformer 122, thereby enabling the cutter tip of the cutter 140 to output an elliptical vibration track, effectively solving the problem of low accuracy of the current ultrasonic elliptical vibration cutting device, improving the cutting accuracy of the cutter 140, ensuring the cutting accuracy, and further ensuring the cutting quality.
Referring to fig. 1 to 7, in an embodiment, the first ultrasonic transducer 111 includes a first transduction power source and a first transduction body, and the first transduction power source supplies power to the first transduction body and electrically connects the controller and the first transduction body. The second ultrasonic transducer 121 includes a second transduction power source and a second transduction body, and the second transduction power source supplies power to the second transduction body and electrically connects the controller and the second transduction body. The controller is capable of adjusting a first power signal of the first transduction power source and a second power signal of the second transduction power source to cause the first transduction body and the second transduction body to adjust a phase difference of the first horn 112 and the second horn 122 to adjust an actual resonant frequency of the first horn 112 and the second horn 122.
The first transduction power source is a power source of the first ultrasonic transducer 111, and is electrically connected with the first transduction main body to supply power to the first transduction main body. The first transduction body is an ultrasonic transducer. Alternatively, the first transduction power source may be disposed in the first transduction body, and may be electrically connected to the first transduction body at an outer side of the first transduction body. The controller is electrically connected to the first transduction power source and controls the first transduction power source to input a first voltage signal to the first transduction body, so that the first transduction body drives the first amplitude transformer 112 to generate a first resonant frequency.
The second transduction power source is a power source of the second ultrasonic transducer 121, and is electrically connected with the second transduction main body to supply power to the second transduction main body. The second transduction body is an ultrasonic transducer. Alternatively, the second transduction power source may be disposed in the second transduction body, and may be electrically connected to the second transduction body at an outer side of the second transduction body. The controller is electrically connected to the second transduction power source and controls the second transduction power source to input a second voltage signal to the second transduction body, so that the second transduction body drives the second amplitude transformer 122 to generate a second resonant frequency.
When the dual-excitation ultrasonic elliptical vibration cutting device 100 works, the controller controls the first ultrasonic power supply to input a first power supply signal F to the first transduction main body 1 (t) controlling the second ultrasonic power supply to input a second power supply signal F to the second transduction subject 2 (t). First power supply signal F 1 (t) and a second power supply signal F 2 (t) independent of each other, the first power supply signal F 1 (t) and a second power supply signal F 2 The voltages of (t) are respectively adjustable, the frequencies are equal, and the phase difference between the voltages is that
Figure GDA0004152467130000111
The first transduction power source inputs a first power signal F to the first transduction subject 1 After (t), the piezoelectric module in the first transduction body generates ultrasonic vibration excitation and transmits it to the first horn 112, and the second transduction power source inputs a second power source signal F to the second transduction body 2 After (t), the piezoelectric module in the second transducer body produces ultrasonic vibration excitation and is transmitted to the second horn 122. After the ultrasonic vibration excitation is input to the first horn 112 and the second horn 122, the vibration amplitude is amplified by the transmission of the vibration amplitude itself, and then the vibration amplitude is transmitted to the connection structure 130. The two amplified ultrasonic vibrations excite two ultrasonic vibrations at the tip position of the tool 140, and then form an elliptical vibration path through kinematic coupling.
Optionally, aPhase difference of earth
Figure GDA0004152467130000112
Is adjustable within the range of 0-180 degrees. Of course, in other embodiments of the invention, the phase difference +.>
Figure GDA0004152467130000113
Adjustable in the range of 180 deg. to 360 deg., in which case the cutting direction of the cutter 140 is opposite to that of the above-described embodiment. It is to be noted that, when elliptical vibration cutting is performed using the dual excitation ultrasonic elliptical vibration cutting device 100 of the present invention, the phase difference +. >
Figure GDA0004152467130000114
The cutting requirement can be met within the range of 0-180 DEG, and the phase difference is adopted in the invention to enable the cutting requirement to be met>
Figure GDA0004152467130000115
The adjustment in the range of 0 DEG to 180 DEG is exemplified.
Referring to fig. 1 to 7, in an embodiment, the first connector 113 is a stud, the first horn 112 has a first mounting hole, the first ultrasonic transducer 111 has a second mounting hole, and both ends of the first connector 113 are respectively mounted in the first mounting hole and the second mounting hole, and an end surface of the first horn 112 abuts against an end surface of the first ultrasonic transducer 111. The second connector is a stud, the second amplitude transformer 122 has a third mounting hole, the second ultrasonic transducer 121 has a fourth mounting hole, two ends of the second connector are respectively mounted in the third mounting hole and the fourth mounting hole, and the end face of the second amplitude transformer 122 is abutted to the end face of the second ultrasonic transducer 121.
The outer wall of the first connector 113 is externally threaded, the first mounting hole of the first horn 112 is internally threaded, and the second mounting hole of the first ultrasonic transducer 111 is internally threaded. One end of the first connecting head 113 is installed in the first installation hole, the other end of the first connecting head 113 is installed in the second installation hole, and after the first connecting head 113 is connected with the first ultrasonic transducer 111 and the first amplitude transformer 112, the end face of the first amplitude transformer 112 is attached to the end face of the first ultrasonic transducer 111, so that the first amplitude transformer 112 and the first ultrasonic transducer 111 form an integral structure. It should be noted that the description of the first ultrasonic transducer 111 is used in place of the first transduction body in the present invention.
The outer wall of the second connector is externally threaded, the third mounting hole of the second horn 122 is internally threaded, and the fourth mounting hole of the second ultrasonic transducer 121 is internally threaded. One end of the second connector is installed in the third installation hole, the other end of the second connector is installed in the fourth installation hole, and after the second connector is connected with the second ultrasonic transducer 121 and the second amplitude transformer 122, the end face of the second amplitude transformer 122 is attached to the end face of the second ultrasonic transducer 121, so that the second amplitude transformer 122 and the second ultrasonic transducer 121 form an integral structure. It should be noted that the description of the second ultrasonic transducer 121 replaces the second transduction body in the present invention.
Under the action of a certain pretightening force, the first ultrasonic transducer 111 and the first amplitude transformer 112 can be in surface-to-surface tight contact by adopting the first connector 113 of the double-ended stud, the second ultrasonic transducer 121 and the second amplitude transformer 122 can be in surface-to-surface tight contact by adopting the second connector of the double-ended stud, vibration transmission is realized between contact surfaces, and vibration transmission is realized between contact surfaces. Alternatively, planar structures are designed on both the cylindrical end surfaces of the first ultrasonic transducer 111 and the first horn 112, ensuring that an effective pretensioned and planar connection is possible therebetween. Planar structures are designed on the cylindrical end surfaces of the second ultrasonic transducer 121 and the second amplitude transformer 122, so that effective pretensioning and planar connection can be ensured between the two.
According to the selected thread pre-tightening structure of each connecting surface, the precision machining, manufacturing and assembling processes of the parts of the double-excitation ultrasonic elliptical vibration cutting device 100 can be reversely analyzed and researched, and the influence rule of the energy loss in the vibration transmission process and the contact state of the connecting surface on the vibration characteristics of the system is explored.
Referring to fig. 1-7, in one embodiment, the first horn 112 includes a first support segment 1121 and a first transition segment 1122, wherein one end of the first support segment 1121 is connected to the first transition segment 1122, the other end of the first support segment 1121 is connected to the first ultrasonic transducer 111 through the first connector 113, and the first transition segment 1122 is connected to the first connector 131. The second amplitude transformer 122 comprises a second supporting section and a second transition section, one end of the second supporting section is connected with the second transition section, the other end of the second supporting section is connected with the second ultrasonic transducer 121 through the second connector, and the second transition section is connected with the second connecting end 132.
The first support section 1121 and the first transition section 1122 are sequentially arranged along the axial direction, one end of the first support section 1121 is connected with the first transition section 1122, the other end of the first support section 1121 is connected with the first ultrasonic transducer 111, and the first support section 1121 is connected with the first connecting end 131 of the connecting structure 130 through the first transition section 1122. The diameter of the first support section 1121 is larger than that of the first transition section 1122, and the connection part of the first transition section 1122 and the first support section 1121 is smoothly transited, so that the size of the first transition section 1122 is gradually reduced.
The second support section and the second transition section are sequentially arranged along the axial direction, one end of the second support section is connected with the second transition section, the other end of the second support section is connected with the second ultrasonic transducer 121, and the second support section is connected with the second connecting end 132 of the connecting structure 130 through the second transition section. The diameter of the second support section is larger than that of the second transition section, and the connecting part of the second transition section and the second support section is in smooth transition, so that the size of the second transition section is gradually reduced.
Referring to fig. 1 to 7, in an embodiment, the first support section 1121 has a first fixed joint surface 1123, the second support section has a second fixed joint surface 1221, and first fulcrums are disposed at both sides of the first fixed joint surface 1123, and the first support section 1121 is fixed by the first fulcrums; second supporting points are arranged on two sides of the second supporting section, and the second supporting section is fixed through the second supporting points.
The first fixed orifice 1123 is a planar surface on the first horn 112, and more specifically, the first fixed orifice 1123 is located at the end of the first support section 1121 adjacent the first transition section 1122, with a space between the first fixed orifice 1123 and the first transition section 1122. Upon increasing the ultrasonic vibration excitation to the first horn 112, the first horn 112 will generate a corresponding vibration that will extend in a sine or cosine curve. The point where the acceleration and velocity of the vibration are zero, i.e., the intersection point of the vibration curve and the transverse coordinate axis, where the first fixed joint surface 1123 is located, can minimize the vibration and the loss of energy of the first horn 112, and ensure that the resonant frequency is at a preferred value. If the first fixed orifice 1123 is located at a peak or trough of the vibration curve, this will result in increased losses in the first horn 112 and higher resonant frequencies.
The second fixed joint surface 1221 is a planar surface on the second horn 122, and more specifically, the second fixed joint surface 1221 is located at an end of the second support section near the second transition section, and there is a second fixed distance between the second fixed joint surface 1221 and the second transition section. Upon increasing the ultrasonic vibration excitation to the second horn 122, the second horn 122 will generate a corresponding vibration that will extend in a sine or cosine curve. The point where the acceleration and velocity of the vibration are zero, i.e., the intersection point of the vibration curve and the transverse coordinate axis, where the second fixed joint surface 1221 is located, can minimize vibration and loss of energy of the second horn 122, and ensure that the resonant frequency is at a preferred value. If the second fixed orifice 1221 is located at a peak or trough of the vibration curve, this will result in increased losses in the second horn 122 and higher resonant frequencies.
After the first fixed node surface 1123 and the second fixed node surface 1221 are provided, the resonance frequency of the first amplitude transformer 112, the resonance frequency of the second amplitude transformer 122 and the target resonance frequency can be close, so that decoupling optimization of the first amplitude transformer 112 and the second amplitude transformer 122 is realized, and the performance of the dual-excitation ultrasonic elliptical vibration cutting device 100 is ensured.
Referring to fig. 1 to 7, the two ultrasonic power signals input by the first transducer and the second transducer are respectively F 1 (t) and F 2 (t) frequency f=ω/2pi, voltage signal varies with timeIs not denoted by A 1 sin (ωt) V and
Figure GDA0004152467130000141
phase difference->
Figure GDA0004152467130000142
0 and pi, respectively. In the machine tool coordinate system, the requirement for the dual-excitation ultrasonic elliptical vibration cutting device 100 to form a stable and reliable ultrasonic elliptical vibration track is that a phase difference composite longitudinal vibration resonance state with consistent or approximate frequency is formed in the feeding direction and the depth cutting direction of the machining, namely, the phase difference composite longitudinal vibration resonance state is formed in +.>
Figure GDA0004152467130000143
And->
Figure GDA0004152467130000144
The target resonant frequencies of the first amplitude transformer 112 and the second amplitude transformer 122 in the feeding direction and the cutting direction are approximately consistent, so that the stable ultrasonic elliptical vibration of the system can be realized under the target resonant frequency, and the adjustability of the elliptical vibration track pose of the phase difference between the first power supply signal and the second power supply signal in the range of 0 to pi can be ensured. Therefore, the decoupling and optimization design aims to realize the axial composite resonance of the device in the depth cutting direction when the phase difference is 0 and the tangential composite resonance of the device in the feeding direction when the phase difference is pi, so as to realize the size determination of the first amplitude transformer 112 and the second amplitude transformer 122.
According to the rule of influence of the design variables of the decoupling process on vibration coupling, available design variables which influence resonance modes and frequencies and can realize the optimal design of the device are obtained, namely the column section size l of the first amplitude transformer 112 before and after the first fixed joint surface 1123 as shown in fig. 7 1 And/l 2 。l 1 And/l 2 And the resonance frequency of the first horn 112 design and the location of the first fixed orifice 1123, i.e., the coupling of the resonance mode and its frequency determines the location of the fixed orifice and thus, determines l 1 And/l 2 The corresponding size variable l can be accurately regulated by a specific optimization design method 1 And/l 2 The type of the integral resonance mode of the system and the corresponding resonance frequency can accurately position the axial composite resonance in the tangential direction when the phase difference is 0 and the tangential composite resonance in the feeding direction when the phase difference is pi. Meanwhile, when the target resonance mode and the frequency thereof are positioned, the frequency difference between the two resonance frequencies can be further accurately regulated and controlled according to the optimal design variable, so that high-precision frequency matching is realized, and the frequency difference is reduced to an allowable frequency error range as far as possible.
Referring to fig. 1-7, in an embodiment, the distance from the end of the first support segment 1121 distal from the first transition segment 1122 to the first fixed joint surface 1123, the length of the first transition segment 1122, the distance from the end of the second support segment distal from the second transition segment to the second fixed joint surface 1221, the length of the second transition segment, are determined based on the actual resonant frequencies of the first ultrasonic transducer 111 and the second ultrasonic transducer 121, and the difference in resonance between the two. The first horn 112 is the same length as the second horn 122.
That is, the positions of the first fixed node surface 1123 and the second fixed node surface 1221 are determined according to the actual resonant frequencies of the first ultrasonic transducer 111 and the second ultrasonic transducer 121 and the resonance differences of the two. Specifically, the specific dimensions of the first horn 112 and the second horn 122 require a decoupling design and optimization process that allows for positional adjustment of the first stationary orifice 1123 and the second stationary orifice 1221.
Referring to fig. 1-7, in one embodiment, the end of the first horn 112 has a first stud 1124 projecting therefrom and the first attachment end 131 has a first threaded bore, the first stud 1124 cooperating with the first threaded bore to abut the end of the first horn 112 against the end of the first attachment end 131. The end of the second horn 122 has a protruding second stud, the second connecting end 132 has a second threaded hole, and the second stud cooperates with the first threaded hole to enable the end of the second horn 122 to abut against the end of the second connecting end 132.
The end of the first horn 112 remote from the first ultrasonic transducer 111 has a first threaded stud 1124 with external threads, and the first end of the connecting structure 130 has a first threaded hole, and after the first threaded stud 1124 is mounted to the first threaded hole, the end surface of the first horn 112 can be abutted against the end surface of the second horn 122. The first connecting end 131 is tightly connected with the first amplitude transformer 112 through threads under the action of the thread pre-tightening force. The first horn 112 is in surface-to-surface intimate contact with the first attachment end 131 of the attachment structure 130 using a threaded connection and vibration transmission is achieved between the contact surfaces. Unlike the stud connection, the first connection end 131 is provided with an internally threaded bore and the end face of the first horn 112 is provided with an externally threaded post segment. The connection structure 130 does not amplify the vibration excitation or delay the phase, and acts on the collection of two vibration excitation signals and transmits the two vibration excitation signals to the knife tip position to realize vibration coupling, so that an elliptical vibration track is generated.
The end of the second amplitude transformer 122 far away from the second ultrasonic transducer 121 is provided with a second stud with external threads, the second end of the connecting structure 130 is provided with a second screw hole, and after the second stud is installed in the second screw hole, the end face of the second amplitude transformer 122 can be abutted with the end face of the second amplitude transformer 122. The second connecting end 132 is tightly connected with the second amplitude transformer 122 through threads under the action of the pre-tightening force of the threads. The second horn 122 is in surface-to-surface intimate contact with the second connecting end 132 of the connecting structure 130 using a threaded connection and vibration transmission is achieved between the contact surfaces. Unlike the stud connection, the second connection end 132 is provided with an internally threaded bore and the end face of the second horn 122 is provided with an externally threaded post segment. The connection structure 130 does not amplify the vibration excitation or delay the phase, and acts on the collection of two vibration excitation signals and transmits the two vibration excitation signals to the knife tip position to realize vibration coupling, so that an elliptical vibration track is generated.
Referring to fig. 1 to 7, in an embodiment, the connection structure 130 further includes a third connection end 133, the third connection end 133 being disposed at a side of the connection body and being located on an extension of a middle line between the first connection end 131 and the second connection end 132, the third connection end 133 being used for mounting the tool 140. The third connecting end 133 is an end portion connected with the tool 140, and the tool 140 is connected with the third connecting end 133 arranged on the reverse extension line between the first connecting end 131 and the second connecting end 132, so that the tool 140 can be ensured to accurately process a workpiece. The third connecting end 133 is a platform for installing the cutter 140, and after the cutter 140 is installed at the third connecting end 133, the fixing mode adopts a double-layer fastening connection mode of a threaded wedge-shaped contact surface.
In an embodiment, the connection structure 130 further includes a circular arc transition section 134, and the third connection end 133 connects the first connection end 131 and the second connection end 132 through the circular arc transition section 134. The arcuate transition 134 enables the desired frequency modulation amplitude and achieves approximate coupling of the tangential and axial resonant frequencies. Alternatively, the thinnest portion of the arc transition section 134 has a thickness of 1mm to 5mm, and may be designed according to the material of the arc transition section 134, so as to ensure the rigidity of the connection structure 130.
In an embodiment, the preset angle between the first connecting end 131 and the second connecting end 132 is in the range of 30 ° to 120 °. Preferably, the predetermined angle between the first connecting end 131 and the second connecting end 132 is 90 ° ± 5 °. According to fig. 5 and 6, the machine tool coordinate system is combined with the local coordinate system of the device, and the device is subjected to kinematic decoupling so as to obtain the system design layout suitable for the optimal adjustability of the elliptical vibration track. Through motion decoupling and final vibration coupling in a series of processes, the design layout scheme with the optimal adjustability is found out, and as shown in fig. 1, the included angle of the central axis of the amplitude transformer after integration is 90 degrees plus or minus 5 degrees, so that the optimal track regulation and control performance can be obtained.
Referring to fig. 1 to 7, the dual-excitation ultrasonic elliptical vibration cutting device 100 of the present invention can realize pose regulation and control on elliptical vibration tracks coupled at a tool tip by adjusting the phase difference and the voltage between two relatively independent first power signals and second power signals based on a high-decoupling structural design, so as to meet the high-quality processing requirements of different surfaces and micro textures thereof. It will be appreciated that the tuning variables of the dual-excitation ultrasonic elliptical vibration cutting device 100 are the voltage of the input power signal and its phase difference, respectively.
The working principle of the double-excitation ultrasonic elliptical vibration cutting device 100 is as follows: based on the propagation characteristics of ultrasonic vibration in a metal medium, a vibration and mechanical decoupling mode is adopted to research and optimally design the double-excitation ultrasonic elliptical vibration cutting device 100, and the double-excitation ultrasonic elliptical vibration cutting device comprises a first amplitude transformer 112, a second amplitude transformer 122 and a connecting structure 130; considering vibration coupling, and performing vibration mode and resonant frequency approximation matching according to the determined optimal design variable; meanwhile, after assembly, by adjusting the power supply signals and the phase differences respectively input by the first ultrasonic transducer 111 and the second ultrasonic transducer 121, the amplitude and the phase adjustment of the longitudinal vibration signals output by the amplitude bars corresponding to the first ultrasonic transducer 111 and the second ultrasonic transducer 121 are realized, the longitudinal vibration signals respectively input by the first amplitude bar 112 and the second amplitude bar 122 are amplified and then transmitted to the connecting structure 130, and finally vibration coupling and motion synthesis of the two amplified longitudinal vibration signals are formed at the knife tip position of the knife 140 of the connecting structure 130, so that an elliptical vibration track is formed. After the dual-excitation ultrasonic elliptical vibration cutting device 100 is designed, the cutter point is used as an output end, and the elliptical vibration track of the cutter point receives the voltage and phase difference regulation and control of two power supply signals.
According to the dual-excitation ultrasonic elliptical vibration cutting device 100, the pose of an elliptical vibration track at the position of a cutter tip can be adjusted by respectively adjusting the voltage and the phase difference between the first power supply signal and the second power supply signal of the first ultrasonic transducer 111 and the second power supply signal of the second ultrasonic transducer 121, so that the variability of optimal cutting parameters under different processing requirements can be met. In addition, aiming at the design complexity of double-excitation ultrasonic elliptic vibration under a longitudinal-longitudinal composite mode, the high-accuracy mode coupling and frequency matching of target resonance can be realized by optimally designing and adjusting corresponding key design variables, and verification is performed.
The dual-excitation ultrasonic elliptical vibration cutting device 100 can expand ultrasonic elliptical vibration cutting to a square shape suitable for different processing requirements, and meanwhile, high decoupling and accurate design requirements are provided for pose regulation of elliptical vibration finding tracks.
Referring to fig. 1 to 7, the present invention also provides an optimal design method of a dual-excitation ultrasonic elliptical vibration cutting device 100, which is applied to the dual-excitation ultrasonic elliptical vibration cutting device 100 according to the above embodiment, and includes the following steps:
setting preset resonant frequencies and working frequencies of the first ultrasonic transducer 111 and the second ultrasonic transducer 121, and designing and determining initial preset sizes of the first amplitude transformer 112 and the second amplitude transformer 122 according to a 1/4 wavelength principle;
the first amplitude transformer 112, the first connector 113, the first ultrasonic transducer 111, the second amplitude transformer 122, the second connector, the second ultrasonic transducer 121 and the connecting structure 130 are connected to form the double-excitation ultrasonic elliptical vibration cutting device 100;
the first and second ultrasonic structures 110, 120 are decoupled and optimally designed to determine the final dimensions of the first and second horns 112, 122.
In the optimal design of the dual excitation elliptical ultrasonic vibration cutting device 100, an initial preset size of the first horn 112 is designed and determined according to the 1/4 wavelength principle according to a preset resonant frequency and an operating frequency of the first ultrasonic transducer 111. The initial preset size of the second horn 122 is designed and determined in accordance with the 1/4 wavelength principle based on the preset resonant frequency and the operating frequency of the second ultrasonic transducer 121. The first horn 112, the second horn 122, the first ultrasonic transducer 111, the second ultrasonic transducer 121, and the connecting structure 130 are assembled to form the integrated dual-excitation ultrasonic elliptical vibration cutting device 100. Then, the integral dual excitation ultrasonic elliptical vibration cutting assembly is utilized to perform decoupling and optimization design, the preferred structural dimensions of the first horn 112 and the second horn 122 are determined, and the positions of the first fixed joint surface 1123 and the second fixed joint surface 1221 are determined, so that the frequencies of the first ultrasonic structure 110 and the second ultrasonic structure 120 are close to the target frequency.
That is, the method for optimizing the design of the dual-excitation ultrasonic elliptical vibration cutting device 100 of the present invention comprises determining the initial dimensions of the first horn 112 and the second horn 122, assembling the first horn 112 and the second horn 122 together, and determining the final structural dimensions of the first horn 112 and the second horn 122 by decoupling and optimizing the first ultrasonic structure 110 and the second ultrasonic structure 120 using the integrated dual-excitation ultrasonic elliptical vibration cutting device 100.
Referring to fig. 1-7, in one embodiment, the step of decoupling and optimizing the first ultrasonic structure 110 and the second ultrasonic structure 120 to determine the final dimensions of the first horn 112 and the second horn 122 includes:
inputting a first voltage signal to the first ultrasonic transducer 111 and a second voltage signal to the second ultrasonic transducer 121;
acquiring a first resonant frequency of the first horn 112 and acquiring a second resonant frequency of the second horn 122;
comparing the first resonant frequency, the second resonant frequency and the target resonant frequency to obtain an adjustment difference value;
the length of the first support segment 1121 and/or the first transition segment 1122 in the first horn 112 is adjusted in accordance with the adjustment differential value to adjust the length of the second support segment and/or the second transition segment in the second horn 122 such that the first and second resonant frequencies approach the target resonant frequency.
The two ultrasonic power supply signals input by the first transducer and the second transducer are F respectively 1 (t) and F 2 (t) frequency f=ω/2pi, and time-varying voltage signal a 1 sin (ωt) V and
Figure GDA0004152467130000201
phase difference->
Figure GDA0004152467130000202
0 and pi, respectively. In the machine coordinate system, the requirement for the dual-excitation ultrasonic elliptical vibration cutting device 100 to form a stable and reliable ultrasonic elliptical vibration track is that the ultrasonic elliptical vibration track is in the feeding direction and the cutting depth of the machiningThe phase difference composite longitudinal vibration resonance state with consistent or approximate frequency is formed in the direction, namely +.>
Figure GDA0004152467130000203
And->
Figure GDA0004152467130000204
The target resonant frequencies of the first amplitude transformer 112 and the second amplitude transformer 122 in the feeding direction and the cutting direction are approximately consistent, so that the stable ultrasonic elliptical vibration of the system can be realized under the target resonant frequency, and the adjustability of the elliptical vibration track pose of the phase difference between the first power supply signal and the second power supply signal in the range of 0 to pi can be ensured. Therefore, the decoupling and optimization design aims to realize the axial composite resonance of the device in the depth cutting direction when the phase difference is 0 and the tangential composite resonance of the device in the feeding direction when the phase difference is pi, so as to realize the size determination of the first amplitude transformer 112 and the second amplitude transformer 122.
According to the rule of influence of the design variables of the decoupling process on vibration coupling, available design variables which influence resonance modes and frequencies and can realize the optimal design of the device are obtained, namely the column section size l of the first amplitude transformer 112 before and after the first fixed joint surface 1123 as shown in fig. 7 1 And/l 2 。l 1 And/l 2 And the resonance frequency of the first horn 112 design and the location of the first fixed orifice 1123, i.e., the coupling of the resonance mode and its frequency determines the location of the fixed orifice and thus, determines l 1 And/l 2 The corresponding size variable l can be accurately regulated by a specific optimization design method 1 And/l 2 The type of the integral resonance mode of the system and the corresponding resonance frequency can accurately position the axial composite resonance in the tangential direction when the phase difference is 0 and the tangential composite resonance in the feeding direction when the phase difference is pi. Meanwhile, when the target resonance mode and the frequency thereof are positioned, the frequency difference between the two resonance frequencies can be further accurately regulated and controlled according to the optimal design variable, so that high-precision frequency matching is realized, and the frequency difference is reduced to an allowable frequency error range as far as possible.
Concrete embodimentsThe decoupling process of (2) is as follows: a dual excitation ultrasonic elliptical vibration cutting device 100 and its vibration model based on arbitrary layout angles is shown in fig. 5 and 6. The specific construction of the first horn 112 is illustrated in the present invention and the principles of the second horn 122 are substantially the same as those of the first horn 112. Where M is the overall mass of the first horn 112 to the articulation module; m is the overall mass of the tool 140; k. c is equivalent rigidity and damping of the connecting section of the amplitude transformer and the hinge module respectively; k (k) 1 、c 1 Longitudinal equivalent rigidity and damping of the connecting section of the hinge module and the cutter 140 module respectively; k (k) 2 、c 2 The axial equivalent rigidity and damping of the connecting section of the hinge module and the cutter 140 module are respectively.
First, an ultrasonic power supply signal F having a phase difference 1 (t) and F 2 (t) at point P 1 And P 2 The steady state response at this point is:
Figure GDA0004152467130000211
/>
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA0004152467130000212
when X is 1 (t) and θ 1 When (t) is transmitted to the Q point, the vibration differential equation is:
Figure GDA0004152467130000213
in the formula (2), the equivalent vibration excitation in the X direction, i.e., tangential direction, and in the Y direction, i.e., normal direction, is:
Figure GDA0004152467130000214
wherein tan θ=y/x. Vibration excitation F in formula (3) X (t) is:
Figure GDA0004152467130000215
wherein θ XY To connect the vibration position of the module at any time and phase difference
Figure GDA0004152467130000216
And the layout angle theta. So that:
Figure GDA0004152467130000221
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA0004152467130000222
F X (t) is:
Figure GDA0004152467130000223
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA0004152467130000224
then F X (t) steady state vibration at Q is:
Figure GDA0004152467130000225
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA0004152467130000226
and
Figure GDA0004152467130000227
ξ X =(2c 1 +c X )/c nX ,c nX =2mω nX And is also provided with
Figure GDA0004152467130000228
Similarly, F Y (t) is: f (F) Y (t)=B·sin(ωt+Δα)(8)
Wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA0004152467130000229
then F Y (t) steady state vibration response at Q is:
Y(t)=D·sin(ωt+Δα-Δφ 2 ) (9)
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure GDA00041524671300002210
and
Figure GDA00041524671300002211
ξ X =(c 1 +c Y )/c nY ,c nY =2mω nY And is also provided with
Figure GDA00041524671300002212
According to the formulas (7) and (9), the vibration track of the cutter tip after synthesis is as follows:
Figure GDA0004152467130000231
different phase differences
Figure GDA0004152467130000232
The vibration trace of (2) is shown in fig. 8. Then based on the vibration decoupling and dimensionless vibration input, the simulation is performed at the phase difference +.>
Figure GDA0004152467130000233
The output amplitude and frequency variations at 0 and pi are shown in fig. 9 and 10. Furthermore, the overall mass M of the first horn 112 to the articulation module, the mass M of the knife 140, and the equivalent stiffness and damping of the various parts are related. Wherein, after the materials and the initial design of the first amplitude transformer 112 and the hinging module are determined, the whole mass m of the cutter 140 and the equivalent rigidity and damping of each part are determined And also determined accordingly. When different vibrational mode tuning of the first horn 112 design parameters is desired, the overall mass M of the fixed joint surface of the first horn 112 to the articulation module can only be optimized by tuning.
The related parameter relation after the design is completed and the materials are selected is as follows:
Figure GDA0004152467130000234
the axial and tangential resonant frequencies of the integrated horn are:
Figure GDA0004152467130000235
the related parameters after the materials are selected are known to be related to the material properties, namely the equivalent rigidity and damping after the design is finished and the mutual proportional relation of the equivalent rigidity and the damping are constant values. Thus, the dimensionless numerical calculation in the above formula (12) can be converted into:
Figure GDA0004152467130000241
taking the whole main mass M from the joint surface of the amplitude transformer to the hinging module as an independent variable, and
Figure GDA0004152467130000242
the trend of the composite longitudinal vibration natural frequency variation and the difference thereof of the first horn 112 can be clarified. From this, it is understood that the factor that affects the resonance frequency most is the main mass M, which is composed of the column section M1 of the first horn 112 and the hinge module column section M2, as shown in fig. 7. According to FIG. 7 and equation (12), the horn l was obtained by simulation 1 And/l 2 The variation of (a) versus frequency of the axial and tangential resonant modes of the first horn 112 is shown in fig. 11 and 12.
For dimension l of the first horn 112 1 The resonant frequency of the first horn 112 follows the dimension l of the first horn 112 2 Is increased and decreasedThe method comprises the steps of carrying out a first treatment on the surface of the For dimension l of the first horn 112 2 The resonant frequency of the first horn 112 follows the dimension l of the first horn 112 1 Is decreased by an increase in (c). The primary reason for the reduced resonant frequency of the first horn 112 is the size l of the first horn 112, in accordance with equation (12) 1 Directly affecting the natural frequency of the system; at the same time, the dimension l of the first horn 112 is increased 2 Approximately increasing the overall system size of the first horn 112 results in a decrease in overall system frequency.
With reference to fig. 11 and 12, a first horn 112l can be obtained 1 And/l 2 The relationship between the axial and tangential resonant frequency differences and frequency of the first horn 112 is shown in fig. 13. As can be seen from FIG. 13, the dimension l for the first horn 112 1 The difference in the bi-directional resonant frequency of the first horn 112 is a function of the dimension l of the first horn 112 2 Is decreased by an increase in (a); for dimension l of the first horn 112 2 The resonant frequency of the first horn 112 follows the dimension l of the first horn 112 1 Is increased by an increase in (a). By setting the fluctuation range of the axial and tangential resonance frequency difference of the integrated horn in consideration of the errors existing in the actual processing, the influence of the cutter 140, the accuracy of assembly, and the like, the dimension l of the first horn 112 can be obtained 1 And/l 2 Is described.
In one embodiment, the step of decoupling and optimizing the first ultrasonic structure 110 and the second ultrasonic structure 120 to determine the final dimensions of the first horn 112 and the second horn 122 further comprises:
controlling the phase difference between the first voltage signal and the second voltage signal to be 0 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference;
and controlling the phase difference between the first voltage signal and the second voltage signal to be 180 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference.
The two ultrasonic power supply signals input by the first transducer and the second transducer are F respectively 1 (t) and F 2 (t) frequency f=ω/2πThe voltage signal changes with time to be A respectively 1 sin (ωt) V and
Figure GDA0004152467130000251
phase difference->
Figure GDA0004152467130000252
0 and pi, respectively. In the machine tool coordinate system, the requirement for the dual-excitation ultrasonic elliptical vibration cutting device 100 to form a stable and reliable ultrasonic elliptical vibration track is that a phase difference composite longitudinal vibration resonance state with consistent or approximate frequency is formed in the feeding direction and the depth cutting direction of the machining, namely, the phase difference composite longitudinal vibration resonance state is formed in +.>
Figure GDA0004152467130000253
And- >
Figure GDA0004152467130000254
The target resonant frequencies of the first amplitude transformer 112 and the second amplitude transformer 122 in the feeding direction and the cutting direction are approximately consistent, so that the stable ultrasonic elliptical vibration of the system can be realized under the target resonant frequency, and the adjustability of the elliptical vibration track pose of the phase difference between the first power supply signal and the second power supply signal in the range of 0 to pi can be ensured. Therefore, the decoupling and optimization design aims to realize the axial composite resonance of the device in the depth cutting direction when the phase difference is 0 and the tangential composite resonance of the device in the feeding direction when the phase difference is pi, so as to realize the size determination of the first amplitude transformer 112 and the second amplitude transformer 122.
The optimal design method of the double-excitation longitudinal vibration composite integrated amplitude transformer is established based on the high decoupling kinematics of multi-axis vibration transmission, and the size design of the amplitude transformer under the actions of different resonance frequencies and modes thereof is realized. The optimal design method of the double-excitation ultrasonic elliptical vibration cutting device 100 is characterized in that by introducing vibration theory modeling, the dimension parameter of a target amplitude transformer is defined as a design variable and the influence rule of the design variable on the resonance frequency of the amplitude transformer of the ultrasonic ellipse. Based on the functional relationship between the resonant frequency and the design variable, different target resonant modes can be rapidly and accurately positioned, mode coupling and resonant frequency matching can be realized, and the optimized size and structure of the first amplitude transformer 112 at different resonant frequencies can be obtained. Once the target resonant frequency and the location of the first fixed orifice 1123 are determined, the first horn 112 is sized accordingly.
The technical features of the above-described embodiments may be arbitrarily combined, and all possible combinations of the technical features in the above-described embodiments are not described for brevity of description, however, as long as there is no contradiction between the combinations of the technical features, they should be considered as the scope of the description.
The above examples illustrate only a few embodiments of the invention, which are described in detail and are not to be construed as limiting the scope of the invention. It should be noted that it will be apparent to those skilled in the art that several variations and modifications can be made without departing from the spirit of the invention, which are all within the scope of the invention. Accordingly, the scope of protection of the present invention is to be determined by the appended claims.

Claims (11)

1. A dual-excitation ultrasonic elliptical vibration cutting device, comprising:
the first ultrasonic structure comprises a first amplitude transformer, a first connector and a first ultrasonic transducer, wherein the first connector is connected with the first amplitude transformer and the first ultrasonic transducer;
the second ultrasonic structure comprises a second amplitude transformer, a second connector and a second ultrasonic transducer, and the second connector is connected with the second amplitude transformer and the second ultrasonic transducer;
The connecting structure comprises a connecting main body, a first connecting end and a second connecting end, wherein the first connecting end is used for connecting the first amplitude transformer, the second connecting end is used for connecting the second amplitude transformer, a preset included angle exists between the first connecting end and the second connecting end, the connecting main body is provided with an arc transition section and a right-angle end, and the right-angle end is arranged on one side, far away from a cutter, of the arc transition section;
the cutter is arranged on the connecting main body, and the cutter point of the cutter is used for executing cutting action; and
and the controller is electrically connected with the first ultrasonic transducer and the second ultrasonic transducer, and adjusts a first power signal of the first ultrasonic transducer and a second power signal of the second ultrasonic transducer so as to adjust a phase difference between the first power signal and the second power signal, so that the cutter point position of the cutter synthesizes an elliptical vibration track.
2. The dual excitation ultrasonic elliptical vibration cutting device of claim 1, wherein the first ultrasonic transducer comprises a first transduction power source and a first transduction body, the first transduction power source providing power to the first transduction body and electrically connecting the controller and the first transduction body;
The second ultrasonic transducer comprises a second transduction power supply and a second transduction main body, wherein the second transduction power supply supplies power to the second transduction main body and is electrically connected with the controller and the second transduction main body;
the controller can adjust a first power signal of the first transduction power supply and a second power signal of the second transduction power supply to enable the first transduction body and the second transduction body to adjust phase differences of the first amplitude transformer and the second amplitude transformer so as to adjust actual resonance frequencies of the first amplitude transformer and the second amplitude transformer.
3. The dual excitation ultrasonic elliptical vibration cutting device of claim 1, wherein the first connector is a stud, the first horn has a first mounting hole, the first ultrasonic transducer has a second mounting hole, and both ends of the first connector are respectively mounted in the first mounting hole and the second mounting hole and abut an end face of the first horn with an end face of the first ultrasonic transducer;
the second connector is a stud, the second amplitude transformer is provided with a third mounting hole, the second ultrasonic transducer is provided with a fourth mounting hole, two ends of the second connector are respectively mounted in the third mounting hole and the fourth mounting hole, and the end face of the second amplitude transformer is abutted with the end face of the second ultrasonic transducer.
4. The dual excitation ultrasonic elliptical vibration cutting device of claim 3, wherein the first horn comprises a first support section and a first transition section, one end of the first support section being connected to the first transition section, the other end of the first support section being connected to the first ultrasonic transducer through the first connector, the first transition section being connected to the first connector;
the second amplitude transformer comprises a second supporting section and a second transition section, one end of the second supporting section is connected with the second transition section, the other end of the second supporting section is connected with the second ultrasonic transducer through the second connector, and the second transition section is connected with the second connecting end.
5. The dual excitation ultrasonic elliptical vibration cutting device of claim 4, wherein the first support section has a first fixed joint surface, the second support section has a second fixed joint surface, first fulcrums are provided on both sides of the first fixed joint surface, and the first support section is fixed by the first fulcrums; second supporting points are arranged on two sides of the second supporting section, and the second supporting section is fixed through the second supporting points.
6. The dual excitation ultrasonic elliptical vibration cutting device of claim 5, wherein the distance of the end of the first support section away from the first transition section from the first fixed joint surface, the length of the first transition section, the distance of the end of the second support section away from the second transition section from the second fixed joint surface, the length of the second transition section are determined based on the actual resonant frequencies of the first ultrasonic transducer and the second ultrasonic transducer and the difference in resonance therebetween;
the first horn is the same length as the second horn.
7. The dual excitation ultrasonic elliptical vibration cutting device of any one of claims 1 to 6, wherein the end of the first horn has a protruding first stud, the first connecting end has a first threaded bore, the first stud engaging the first threaded bore to bring the end of the first horn into abutment with the end of the first connecting end;
the end part of the second amplitude transformer is provided with a convex second stud, the second connecting end is provided with a second screw hole, and the second stud is matched with the first screw hole to enable the end part of the second amplitude transformer to be abutted with the end part of the second connecting end.
8. The dual excitation ultrasonic elliptical vibration cutting device of any one of claims 1 to 6, wherein the connection structure further comprises a third connection end disposed on a side of the connection body and located on an extension of a midline between the first connection end and the second connection end, the third connection end for mounting the cutter.
9. An optimal design method for a double-excitation ultrasonic elliptical vibration cutting device, which is applied to the double-excitation ultrasonic elliptical vibration cutting device according to any one of claims 1 to 8, comprising the steps of:
setting preset resonant frequency and working frequency of the first ultrasonic transducer and the second ultrasonic transducer, and designing and determining initial preset sizes of the first amplitude transformer and the second amplitude transformer according to a 1/4 wavelength principle;
the first amplitude transformer, the first connector, the first ultrasonic transducer, the second amplitude transformer, the second connector, the second ultrasonic transducer and the connecting structure are connected to form the double-excitation ultrasonic elliptic vibration cutting device;
and decoupling and optimally designing the first ultrasonic structure and the second ultrasonic structure, and determining the final sizes of the first amplitude transformer and the second amplitude transformer.
10. The method of optimizing design of claim 9, wherein the step of decoupling and optimizing the first ultrasonic structure and the second ultrasonic structure to determine the final dimensions of the first horn and the second horn comprises:
inputting a first voltage signal to the first ultrasonic transducer and inputting a second voltage signal to the second ultrasonic transducer;
acquiring a first resonant frequency of the first amplitude transformer and a second resonant frequency of the second amplitude transformer;
comparing the first resonant frequency, the second resonant frequency and the target resonant frequency to obtain an adjustment difference value;
and adjusting the length of a first supporting section and/or a first transition section in the first amplitude transformer according to the adjustment difference value, and adjusting the length of a second supporting section and/or a second transition section in the second amplitude transformer so that the first resonance frequency and the second resonance frequency are close to the target resonance frequency.
11. The method of optimizing design of claim 10, wherein decoupling and optimizing the first ultrasonic structure and the second ultrasonic structure, the step of determining the final dimensions of the first horn and the second horn further comprises:
Controlling the phase difference between the first voltage signal and the second voltage signal to be 0 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference;
and controlling the phase difference between the first voltage signal and the second voltage signal to be 180 degrees, and adjusting the first resonant frequency and the second resonant frequency to be close to the target resonant frequency according to the phase difference.
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