CN112935865B - Method for improving thin-wall part processing stability and supporting device - Google Patents
Method for improving thin-wall part processing stability and supporting device Download PDFInfo
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- CN112935865B CN112935865B CN202110125252.7A CN202110125252A CN112935865B CN 112935865 B CN112935865 B CN 112935865B CN 202110125252 A CN202110125252 A CN 202110125252A CN 112935865 B CN112935865 B CN 112935865B
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
- B23Q3/00—Devices holding, supporting, or positioning work or tools, of a kind normally removable from the machine
- B23Q3/02—Devices holding, supporting, or positioning work or tools, of a kind normally removable from the machine for mounting on a work-table, tool-slide, or analogous part
- B23Q3/06—Work-clamping means
- B23Q3/062—Work-clamping means adapted for holding workpieces having a special form or being made from a special material
- B23Q3/065—Work-clamping means adapted for holding workpieces having a special form or being made from a special material for holding workpieces being specially deformable, e.g. made from thin-walled or elastic material
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
- B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
- B23Q17/00—Arrangements for observing, indicating or measuring on machine tools
- B23Q17/002—Arrangements for observing, indicating or measuring on machine tools for indicating or measuring the holding action of work or tool holders
- B23Q17/005—Arrangements for observing, indicating or measuring on machine tools for indicating or measuring the holding action of work or tool holders by measuring a force, a pressure or a deformation
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- Y—GENERAL 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
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
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Abstract
The invention belongs to the field of dynamics analysis of numerical control equipment, and particularly discloses a method and a supporting device for improving the processing stability of a thin-wall part, wherein the method comprises the following steps: s1, performing a static knocking experiment on the thin-wall part to obtain a static vibration response signal and obtain a vibration frequency range of the thin-wall part; s2, performing a dynamic cutting experiment on the thin-wall part, wherein the cutting parameters are the same as those in actual cutting, acquiring a dynamic vibration response signal during cutting processing of the thin-wall part, acquiring modal information under dynamic conditions, and taking a first-order mode with the largest amplitude in the modal information as a main vibration mode to acquire the maximum deformation area and the deformation of the thin-wall part corresponding to the main vibration mode; and S3, cutting the thin-wall part, supporting the side face of the thin-wall part, determining the supporting position and the supporting force according to the maximum deformation area and the deformation amount, and determining the damping material adopted by the support according to the vibration frequency range. The invention can improve the processing stability of the thin-wall part and the processing precision of the part.
Description
Technical Field
The invention belongs to the field of dynamics analysis of numerical control equipment, and particularly relates to a method and a supporting device for improving the processing stability of a thin-wall part.
Background
Thin-walled parts have been widely used in aerospace and automotive manufacturing due to their small mass, small thickness, and the like. However, the thin-wall part has low rigidity due to large size and small thickness, and is easy to deform in the cutting process, and meanwhile, the thin-wall part is often made of difficult-to-machine materials, and the machining quality and the machining efficiency of the part are severely restricted by the obvious vibration of a workpiece in the machining process. Therefore, designing an additional supporting device to improve the processing quality of the parts and reduce the deformation has been a concern of many people.
Relevant researches show that the deformation of the thin-wall part in the processing process mainly comes from several aspects, firstly, the thickness of the processed part is small, and the deformation is easy to occur in the processing process; secondly, in the processing process, the friction between the part and the cutter generates strong vibration; meanwhile, the maximum deformation amount and the maximum deformation position of the part are different under different modal vibration modes. However, the existing experimental process has many disadvantages, and the deformation suppression is only performed on one or some kind of deformation, and the deformation suppression effect of the whole process cannot be achieved.
In order to improve the stability of thin-walled parts during machining and reduce the effects of deformation, researchers have proposed methods to solve these problems, such as increasing part damping using magnetorheological devices, reducing vibration and deformation during machining, and mirror milling methods, where the support system is always stacked with respect to the part with the tool during machining, which greatly suppresses deformation during machining, but does not suppress the maximum deformation. Therefore, in order to solve these existing problems, a new method for improving the machining stability of thin-walled parts is needed.
Disclosure of Invention
Aiming at the defects or the improvement requirements of the prior art, the invention provides a method and a supporting device for improving the processing stability of a thin-wall part, and aims to determine the position and the supporting force to be supported through static and dynamic experiments so as to achieve the optimal supporting effect and improve the rigidity of the supporting part of the thin-wall part, thereby improving the processing stability of the part, improving the processing quality of the thin-wall part to a certain extent, reducing the deformation in the processing of the thin-wall part and improving the processing precision of the part.
To achieve the above object, according to an aspect of the present invention, there is provided a method for improving the processing stability of a thin-walled part, comprising the steps of:
s1, performing a static knocking experiment on the thin-wall part to obtain a static vibration response signal of the thin-wall part, and obtaining modal information of the thin-wall part in a static state according to the static vibration response signal so as to obtain a vibration frequency range of the thin-wall part;
s2, performing a dynamic cutting experiment on the thin-wall part, wherein the cutting parameters are the same as those in actual cutting, acquiring a dynamic vibration response signal during cutting and processing of the thin-wall part, acquiring modal information of the thin-wall part under the dynamic state according to the dynamic vibration response signal, and taking a first-order mode with the maximum amplitude in the modal information as a main vibration mode to further obtain the maximum deformation area and the deformation amount of the thin-wall part corresponding to the main vibration mode;
and S3, cutting the thin-wall part, supporting the side face of the thin-wall part, determining the supporting position and the provided supporting force according to the maximum deformation area and the deformation amount obtained in the step S2 respectively, and determining the damping material adopted for supporting according to the vibration frequency range obtained in the step S1, so that the processing stability of the thin-wall part is improved.
More preferably, the step S1 specifically includes the following steps:
s11, transversely and uniformly arranging a plurality of acceleration sensors on the back surface of the processing surface of the thin-wall part, performing knocking excitation on the processing surface of the thin-wall part and each position corresponding to the acceleration sensors by using a force hammer, and acquiring vibration response signals of all excitation points through the acceleration sensors;
s12, obtaining a frequency response function of each measuring point relative to the excitation point according to the vibration response signal of each excitation point and the corresponding force hammer excitation signal, and further obtaining a static frequency response function matrix;
and S13, according to the static frequency response function matrix, obtaining modal information of the thin-wall part in a static state through a modal parameter identification algorithm, and further obtaining the vibration frequency range of the thin-wall part.
More preferably, the step S2 specifically includes the following steps:
s21, transversely and uniformly arranging a plurality of acceleration sensors on the back surface of the processing surface of the thin-wall part, arranging a dynamometer at the bottom of the thin-wall part, then cutting the thin-wall part, acquiring a vibration response signal of the thin-wall part under the dynamic condition through the acceleration sensors, and acquiring a cutting force signal through the dynamometer;
s22, according to the vibration response signal and the cutting force signal under the dynamic state, obtaining a frequency response function of the thin-wall part under the dynamic state, and further obtaining a dynamic frequency response function matrix;
s23, according to the dynamic frequency response function matrix, obtaining modal information of the thin-wall part under the dynamic state through a modal parameter identification algorithm, then obtaining a first-order mode with the maximum amplitude in the modal information through a working deformation analysis algorithm, and taking the first-order mode as a main vibration mode to further obtain the maximum deformation area and the deformation amount of the thin-wall part corresponding to the main vibration mode.
Preferably, the modal parameter identification algorithm specifically adopts an improved algorithm PolyMAX of a least square complex exponential method.
Preferably, in the step S3, when the damping material used for the support is selected, the natural frequency of the damping material should completely include the vibration frequency range of the thin-walled part.
It is further preferred that the thickness of the thin-walled part is not more than 5mm.
According to another aspect of the invention, a supporting device for realizing the method for improving the processing stability of the thin-wall part comprises a connecting rod and a supporting sucker, wherein one end of the connecting rod is fixed at the lower end of a main shaft for mounting a cutter, and the other end of the connecting rod is connected with the supporting sucker; the supporting sucker is arranged on the thin-wall part and used for supporting the thin-wall part at the other side of the thin-wall part when a cutter performs cutting machining on one side of the thin-wall part.
As a further preferred, the connecting rod comprises two auxiliary supporting rods, and the two auxiliary supporting rods are connected through a spherical hinge.
Generally, compared with the prior art, the above technical solution conceived by the present invention mainly has the following technical advantages:
1. the invention determines the position and the supporting force of the required support through static and dynamic experiments, can improve the rigidity of the support part of the thin-wall part in the processing process, thereby improving the processing stability of the part, improving the processing quality of the thin-wall part to a certain extent, reducing the deformation in the processing of the thin-wall part, improving the processing precision of the part, being suitable for a numerical control machine tool containing a main shaft part, and having no limitation on the geometric dimension of the thin-wall part.
2. According to the invention, a static knocking experiment is adopted to obtain the modal information of the part under a static state, a dynamic cutting experiment is carried out, and the main vibration mode of the part under the cutting condition and the deformation amount corresponding to the main vibration mode are calculated by combining a modal analysis algorithm and a working deformation analysis algorithm, so that the optimal supporting effect can be achieved by combining the static experiment and the dynamic experiment.
3. The supporting device can reduce vibration of the part, provides supporting force for the part, avoids secondary deformation of the part due to too large supporting force, and can meet the requirements of various processing conditions because the supporting device and the cutter are distributed on two sides of the thin-wall part without interference; in addition, the auxiliary supporting rods are connected through the spherical hinges, the connecting rod can move flexibly, powerful supporting effect is provided for parts, meanwhile, because one end of the supporting device is arranged on the main shaft, vibration of the main shaft can be measured and restrained to a certain degree in the machining process, the main shaft moves along with movement of the main shaft, and certain universality is achieved.
4. In order to make the suppression effect of the vibration frequency in the processing process best and facilitate the actual installation and operation, the invention selects the damping material of which the natural frequency completely contains the vibration frequency range of the part as the material of the sucker, and the sucker can completely suppress the vibration of all orders of the thin-wall part in the processing process, and simultaneously can provide a certain supporting force for the thin-wall part, improve the local rigidity of the supporting part and provide the supporting and vibration damping effects for the part well.
Drawings
FIG. 1 is a schematic diagram of a method for improving the processing stability of a thin-walled part according to an embodiment of the present invention;
FIG. 2 is a schematic view of a support device of an embodiment of the present invention during machining;
FIG. 3 is a schematic diagram of the response signal of the thin-walled part with the supporting device according to the embodiment of the present invention;
FIG. 4 is a schematic view of a kinetic model of a system without a support device according to an embodiment of the present invention;
FIG. 5 is a schematic view of a dynamic model of a system with a support device according to an embodiment of the present invention.
The same reference numbers will be used throughout the drawings to refer to the same elements or structures, wherein: 1-main shaft, 2-fixing piece, 3-cutter, 4-first auxiliary supporting rod, 5-second auxiliary supporting rod, 6-supporting sucker and 7-thin-wall part.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
The method for improving the processing stability of the thin-wall part, which is provided by the embodiment of the invention, as shown in fig. 1, comprises the following steps:
s1, performing a static knocking experiment on a thin-wall part to obtain a static vibration response signal of the thin-wall part, and processing the static vibration response signal through a modal analysis algorithm to obtain modal information (including natural frequency, damping ratio and amplitude) of the thin-wall part in a static state, so as to obtain a vibration frequency range of the thin-wall part;
s2, performing a dynamic cutting experiment on the thin-wall part, wherein cutting parameters are the same as those in actual cutting, acquiring a dynamic vibration response signal during part processing and cutting force during cutting, processing the dynamic vibration response signal through a modal analysis algorithm to obtain modal information of the thin-wall part under the dynamic condition, wherein the modal information under the dynamic condition comprises a plurality of orders of modes, finding out a first order mode with the maximum amplitude in the modal information through a working deformation analysis algorithm, taking the order of modes as a main vibration mode, and calculating the maximum deformation area and the deformation amount of the thin-wall part corresponding to the main vibration mode;
and S3, cutting the thin-wall part, and supporting the side face of the thin-wall part, wherein the supporting position is the maximum deformation region obtained in the step S2, the provided supporting force is determined according to the deformation obtained in the step S2 and the collected cutting force, and the damping material adopted for supporting is determined according to the vibration frequency range obtained in the step S1, so that the local rigidity of the part is improved, the deformation in the part processing process is reduced, and the processing stability is improved.
Further, the step S1 specifically includes the following steps:
s11, transversely and uniformly arranging a plurality of acceleration sensors (measuring points) on the back surface of the processing surface of the thin-wall part, knocking the processing surface of the thin-wall part by using a force hammer at each position (excitation point) corresponding to the acceleration sensors, and acquiring vibration response signals of all the excitation points through the acceleration sensors;
s12, obtaining a frequency response function H (j omega) of each measuring point relative to an excitation point by using the vibration response signal collected in S11 and the excitation signal of the force hammer:
h (j omega) represents a frequency response function of a j-th measuring point of the machine tool relative to an excitation point, X (j omega) represents Fourier transformation of the vibration response signal, and F (omega) represents Fourier transformation of the excitation signal; then, frequency response functions of all the measuring points relative to the excitation points form a frequency response function matrix [ H (omega) ];
s13, substituting the frequency response function matrix [ H (omega) ] into a modal parameter identification algorithm to identify each order of modal parameters, namely modal information, of the thin-wall part, wherein the modal parameters include the vibration frequency range of the thin-wall part; the modal parameter identification algorithm specifically adopts an improved algorithm PolyMAX of a least square complex exponential method.
Further, the step S2 specifically includes the following steps:
s21, arranging acceleration sensors at the same positions of the thin-wall parts, arranging a dynamometer at the bottom of the thin-wall parts, determining cutting parameters to perform cutting processing on the thin-wall parts, and acquiring vibration response signals and cutting force signals of the thin-wall parts under the dynamic condition, wherein the methods in the step S11 are the same;
s22, according to the collected cutting force signal and the vibration response signal of the part under the dynamic state, a frequency response function of the part under the dynamic state is obtained, and then a frequency response function matrix is obtained;
s23, obtaining each order of modal parameters of the thin-wall part through a modal parameter identification algorithm according to the frequency response function matrix, then taking the order mode with the largest vibration amplitude in each order of modes as a main vibration mode through a working deformation analysis algorithm, and solving the maximum deformation area and the deformation of the part under the main vibration mode.
Further, in the step S3, the damping material generally includes glass wool, a micro-perforated plate, rubber, a polymer material, etc., and the damping of these materials is different, and the suppression range of the acting frequency is also different, and in order to make the suppression effect of the vibration frequency during the machining best, the damping material used for the support is specifically determined according to the vibration frequency range obtained in the step S1, so that the natural frequency of the damping material completely includes the vibration frequency range of the part.
It should be noted that, in production practice, the width-to-thickness ratio of a part is generally considered to be greater than 10, that is, the part is considered to be a thin-walled part; in the present invention, when the thickness of the part is not more than 5mm, the part is considered to be a thin-walled part.
The invention also designs a supporting device which is used for supporting the thin-wall part in the processing process, when in processing, the main shaft 1, the fixing piece 2 and the cutter 3 are fixedly connected in sequence, and the cutter 3 carries out cutting processing on one side of the thin-wall part 7.
Specifically, as shown in fig. 2, the supporting device includes a connecting rod and a supporting suction cup 6, wherein one end of the connecting rod is fixed on the fixing member 2, the other end of the connecting rod is connected with the supporting suction cup 6, and the supporting suction cup 6 is arranged on the other side of the thin-wall part 7 to support the thin-wall part 7; the connecting rod comprises a first auxiliary supporting rod 4 and a second auxiliary supporting rod 5 which are connected through a spherical hinge, and the connecting rod can move freely without limitation in the machining process through the spherical hinge; the supporting position and the supporting force of the supporting sucker 6 are determined according to the maximum deformation area and the deformation amount obtained in the step S2, and the damping material adopted by the supporting sucker 6 is determined according to the vibration frequency range obtained in the step S1. In addition, when the processing parameters are changed, the supporting force provided by the supporting suction cup 6 to the thin-wall part can be controlled by adjusting the spherical hinge.
The following are specific examples:
the invention is explained by taking a VMC850E type numerical control machining center as an example, and an aluminum part with the thickness of 5mm and the model of 6061 is taken as an experimental object, and the method specifically comprises the following steps:
s1, performing experimental modal analysis on a thin-wall part, specifically, transversely and uniformly arranging 5 acceleration sensors on the back of a processing surface of the part, knocking five positions, corresponding to the sensors, of the processing surface of the thin-wall part by using a force hammer, wherein the type of the force hammer is HDFC-DFC-1, a signal acquisition system for acquiring an excitation signal and a response signal is preferably the signal acquisition front end of an LMS company, the type of the signal acquisition front end is LMS SCADAS Mobile SCM05, and operation software matched with the acquisition front end is preferably LMS test.Lab 17A. Acquiring response signals of all excitation points, further acquiring modal information such as natural frequency, damping ratio, main vibration mode and the like, and finally acquiring the main modes of the part concentrated within 1000Hz in a static state, wherein the natural frequency and the damping ratio of the first 4 orders are respectively as follows: omega 1 =231.356Hz,ζ 1 =5.71%,ω 2 =291.056Hz,ζ 2 =4.56%,ω 3 =460.629Hz,ζ 3 =4.21%,ω 4 =781.146Hz,ζ 4 And the rubber material just conforms to the frequency range of the part, so that the vibration of the thin-wall part can be effectively inhibited, and the rubber material is selected as the supporting sucker.
S2, the same as the experimental modal analysis method, arranging an acceleration sensor at the same position, arranging a dynamometer at the bottom of the part, processing the part, and acquiring a response signal of the part in a processing state, wherein the processing parameters selected in the method are as follows: the rotating speed is 1000rpm, the feeding speed is 400mm/min, the cutting width is 0.5mm, and the cutting depth is 10mm. Under the processing parameters, the first 4-order natural frequencies of the parts within 1000Hz are respectively omega 1 =226.43,ω 2 =284.021Hz,ω 3 =453.839Hz,ω 4 =777.246Hz. And calculating the mode with the highest amplitude and energy ratio as a second-order mode by using a working deformation analysis method, wherein the second-order mode is considered as a main vibration mode, the maximum deformation of the part is 0.27mm under the main vibration mode, and the maximum deformation area is in the middle position of the part.
S3, according to the frequency range in the step S1, the rubber material just accords with the frequency range of the part, and vibration suppression can be effectively performed on the thin-wall part, so that the rubber material is selected as a supporting sucker; and the supporting position of the supporting sucker is at the middle position of the opposite side of the part processing surface, and the supporting force provided is determined according to the deformation obtained in the step S2 and the collected cutting force.
S4, fixing the supporting device at the end part of the spindle through a bolt, milling by adopting the same processing parameters as those in the step S2, providing corresponding support by the supporting sucker, and increasing local rigidity and damping by adopting the method and the device according to a dynamic model, as shown in figures 4 and 5. In addition, as shown in fig. 3, for comparison of FRF curves with or without the supporting device, it can be seen that the amplitude of the part is significantly reduced after the supporting device is provided, and the effectiveness of the method is verified.
It will be understood by those skilled in the art that the foregoing is only an exemplary embodiment of the present invention, and is not intended to limit the invention to the particular forms disclosed, since various modifications, substitutions and improvements within the spirit and scope of the invention are possible and within the scope of the appended claims.
Claims (5)
1. A method for improving the processing stability of a thin-wall part is characterized by comprising the following steps:
s1, performing a static knocking experiment on the thin-wall part to obtain a static vibration response signal of the thin-wall part, and obtaining modal information of the thin-wall part in a static state according to the static vibration response signal so as to obtain a vibration frequency range of the thin-wall part;
the method specifically comprises the following steps:
s11, transversely and uniformly arranging a plurality of acceleration sensors on the back surface of the processing surface of the thin-wall part, performing knocking excitation on the processing surface of the thin-wall part and each position corresponding to the acceleration sensors by using a force hammer, and acquiring vibration response signals of all excitation points through the acceleration sensors;
s12, obtaining a frequency response function of each measuring point relative to the excitation point according to the vibration response signal of each excitation point and the corresponding force hammer excitation signal, and further obtaining a static frequency response function matrix;
s13, according to the static frequency response function matrix, obtaining modal information of the thin-wall part in a static state through a modal parameter identification algorithm, and further obtaining the vibration frequency range of the thin-wall part;
s2, performing a dynamic cutting experiment on the thin-wall part, wherein the cutting parameters are the same as those in actual cutting, acquiring a dynamic vibration response signal during cutting and processing of the thin-wall part, acquiring modal information of the thin-wall part under the dynamic state according to the dynamic vibration response signal, and taking a first-order mode with the maximum amplitude in the modal information as a main vibration mode to further obtain the maximum deformation area and the deformation amount of the thin-wall part corresponding to the main vibration mode;
the method specifically comprises the following steps:
s21, transversely and uniformly arranging a plurality of acceleration sensors on the back of the processing surface of the thin-wall part, arranging a dynamometer at the bottom of the thin-wall part, then cutting the thin-wall part, acquiring a vibration response signal of the thin-wall part under the dynamic condition through the acceleration sensors, and acquiring a cutting force signal through the dynamometer;
s22, obtaining a dynamic frequency response function of the thin-wall part according to the dynamic vibration response signal and the dynamic cutting force signal, and further obtaining a dynamic frequency response function matrix;
s23, according to the dynamic frequency response function matrix, obtaining modal information of the thin-wall part under the dynamic state through a modal parameter identification algorithm, then obtaining a first-order mode with the maximum amplitude in the modal information through a working deformation analysis algorithm, and taking the first-order mode as a main vibration mode to further obtain the maximum deformation area and the deformation amount of the thin-wall part corresponding to the main vibration mode;
and S3, cutting the thin-wall part, supporting the side face of the thin-wall part, determining the supporting position and the provided supporting force according to the maximum deformation area and the deformation amount obtained in the step S2, determining the damping material adopted for supporting according to the vibration frequency range obtained in the step S1, and completely containing the natural frequency range of the damping material, so that the processing stability of the thin-wall part is improved.
2. The method for improving the machining stability of the thin-wall part according to claim 1, wherein the modal parameter identification algorithm specifically adopts a modified algorithm PolyMAX of a least square complex exponential method.
3. The method of improving the processing stability of a thin-walled part of claim 1, wherein the thin-walled part has a thickness of no more than 5mm.
4. A supporting device for realizing the method for improving the processing stability of the thin-wall part according to any one of claims 1 to 3, which is characterized by comprising a connecting rod and a supporting sucker, wherein one end of the connecting rod is fixed at the lower end of a main shaft for mounting a cutter, and the other end of the connecting rod is connected with the supporting sucker; the supporting sucker is arranged on the thin-wall part and used for supporting the thin-wall part at the other side of the thin-wall part when a cutter performs cutting machining on one side of the thin-wall part.
5. The support device of claim 4, wherein the connecting rod comprises two auxiliary support rods connected by a ball joint.
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