CN114289791A - Ultrasonic cantilever beam cutting method - Google Patents
Ultrasonic cantilever beam cutting method Download PDFInfo
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- CN114289791A CN114289791A CN202111642796.7A CN202111642796A CN114289791A CN 114289791 A CN114289791 A CN 114289791A CN 202111642796 A CN202111642796 A CN 202111642796A CN 114289791 A CN114289791 A CN 114289791A
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Abstract
The invention discloses a method for cutting an ultrasonic cantilever beam, which comprises the following steps of (1) fixing one end of the cantilever beam in the length direction and keeping the cantilever beam horizontal; (2) applying a vertical downward acting force F to the center of the other end of the cantilever beam in the length direction, wherein the acting force F needs to enable the cantilever beam to have an obvious bending trend; (3) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state; (4) finding out an effective stress area and an ineffective stress area of the cantilever beam bearing the acting force F by adopting a static finite element method; (5) cutting off the ineffective stress area of the cantilever beam by using ultrasonic equipment; (6) and (5) circularly executing the steps (1) to (5) until the weight of the cantilever beam meets the required design. The existing cantilever beam is cut by the ultrasonic cantilever beam cutting method, so that the cut cantilever beam has enough rigidity and bearing capacity, the weight of equipment can be reduced, and the aesthetic feeling of industrial design is increased.
Description
Technical Field
The invention relates to a cutting method in industrial design, in particular to a cutting method for processing a workpiece in a light weight mode.
Background
With the rapid development of industrial design, the rapid promotion of various properties of products is imperative. The cantilever beam used for bearing the stress of the traditional industrial equipment directly adopts an integral strip-shaped or plate-shaped section bar, and a plurality of cantilever beams exist in most equipment. Although the mode of directly adopting the section bar can ensure the rigidity and the bearing capacity of the non-cantilever beam, the weight of the non-cantilever beam greatly increases the load of the whole equipment; and also occupies a great design space of the whole apparatus; because the regular shape of cantilever beam occupies each corner of equipment space, show that the industrial design of equipment feels less and heavy, and the industrial design aesthetic feeling is poor.
Therefore, the cantilever beam cutting method can not only keep the cantilever beam to have enough rigidity and bearing capacity, but also reduce the weight of equipment and increase the aesthetic feeling of industrial design.
Disclosure of Invention
The invention aims to provide an ultrasonic cantilever beam cutting method, which is used for cutting the existing cantilever beam, so that the cut cantilever beam has enough rigidity and bearing capacity, the weight of equipment can be reduced, and the aesthetic feeling of industrial design can be improved.
In order to achieve the above object, the present invention provides an ultrasonic cantilever beam cutting method, which comprises the following steps: (1) fixing one end of the cantilever beam in the length direction, and keeping the cantilever beam in a horizontal state; (2) applying a vertical downward acting force F to the center of the other end of the cantilever beam in the length direction, wherein the acting force F needs to enable the cantilever beam to have an obvious bending trend; (3) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state; (4) an effective stress area and an ineffective stress area of a cantilever beam bearing acting force F are found out by adopting a Static Finite Element Method (Static Finite Element Method, short for Static FEM); the effective stress area is P more than or equal to 5.0 MPa, and the ineffective stress area is P less than 5.0 MPa; wherein P is pressure in Pa; (5) cutting off the ineffective stress area of the cantilever beam by using ultrasonic equipment; (6) and (5) circularly executing the steps (1) to (5) until the weight of the cantilever beam meets the required design.
Compared with the prior art, the invention greatly reduces the weight of the cantilever beam to realize light design by carrying out ultrasonic cutting on the ineffective stress area of the existing cantilever beam for many times, but the rigidity and the bearing capacity of the cantilever beam still keep the requirements; therefore, after the cantilever beam is subjected to cutting treatment by using the method, the weight is greatly reduced, but the rigidity and the bearing capacity are not greatly influenced and can still meet the requirement. Meanwhile, the existing cantilever beam is in a hollow shape at a plurality of positions and in an arc shape at a plurality of positions of the edge part after being cut by ultrasonic waves, so that the aesthetic feeling of industrial design is greatly improved. In addition, the ultrasonic cutting provided by the ultrasonic equipment can accurately cut off the ineffective stress area and simultaneously ensure that the cutting surface is not damaged. Therefore, the ultrasonic cantilever beam cutting method provided by the invention is used for cutting the existing cantilever beam, so that the cut cantilever beam has enough rigidity and bearing capacity, the weight of equipment can be reduced, and the aesthetic feeling of industrial design can be increased.
Preferably, the acting force F in the ultrasonic cantilever beam cutting method of the present invention satisfies the following relation: f is more than or equal to 1.5S and less than or equal to 2.5S; wherein F is in Newton; s is the surface area of the cantilever beam and is in square centimeters.
Drawings
FIG. 1 is a schematic structural view of a cantilever beam requiring cutting by the ultrasonic cantilever beam cutting method of the present invention according to a first embodiment.
Figure 2 is a static finite element-stress diagram for a static state after a vertically downward force F is applied to the left end and the right end of the cantilever beam of figure 1.
Figure 3 is a schematic diagram of the structure of the cantilever beam after cutting the ineffective stress region of figure 2.
Figure 4 is a static finite element-stress diagram for a static state after a vertically downward force F is applied to the left end and the right end of the cantilever beam shown in figure 3.
Figure 5 is a schematic diagram of the cantilever beam after cutting the area of ineffective stress of figure 4.
FIG. 6 is a diagram illustrating a second embodiment of a cantilever beam being subjected to four ultrasonic device cuts by the ultrasonic cantilever beam cutting method of the present invention.
Fig. 7 is an image of the machined surface of the cantilever beam of fig. 1 and 6 cut with an ultrasonic device at 144 times magnification.
Fig. 8 is an image of a cut surface of the cantilever beam of fig. 1 and 6 enlarged 144 times after cutting using a conventional CNC machine tool.
Detailed Description
Embodiments of the present invention will now be described with reference to the drawings, wherein like element numerals represent like elements.
The ultrasonic cantilever beam cutting method comprises the following steps: (1) fixing one end of the cantilever beam in the length direction, and keeping the cantilever beam in a horizontal state; (2) applying a vertical downward acting force F to the center of the other end of the cantilever beam in the length direction, wherein the acting force F needs to enable the cantilever beam to have an obvious bending trend; (3) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state; (4) an effective stress area and an ineffective stress area of a cantilever beam bearing acting force F are found out by adopting a Static Finite Element Method (Static Finite Element Method, short for Static FEM); the effective stress area is P more than or equal to 5.0 MPa, and the ineffective stress area is P less than 5.0 MPa; wherein P is pressure in Pa; (5) cutting off the ineffective stress area of the cantilever beam by using ultrasonic equipment; (6) and (5) circularly executing the steps (1) to (5) until the weight of the cantilever beam meets the required design. Therefore, the invention greatly reduces the weight of the cantilever beam to realize light design by performing ultrasonic cutting on the ineffective stress area of the existing cantilever beam for many times, but the rigidity and the bearing capacity of the cantilever beam still keep the requirements; therefore, after the cantilever beam is subjected to cutting treatment by using the method, the weight is greatly reduced, but the rigidity and the bearing capacity are not greatly influenced and can still meet the requirement. Meanwhile, the existing cantilever beam is in a hollow shape at a plurality of positions and in an arc shape at a plurality of positions of the edge part after being cut by ultrasonic waves, so that the aesthetic feeling of industrial design is greatly improved. In addition, the ultrasonic cutting provided by the ultrasonic equipment can accurately cut off the ineffective stress area and simultaneously ensure that the cutting surface is not damaged. Therefore, the ultrasonic cantilever beam cutting method provided by the invention is used for cutting the existing cantilever beam, so that the cut cantilever beam has enough rigidity and bearing capacity, the weight of equipment can be reduced, and the aesthetic feeling of industrial design can be increased. Specifically, the ultrasonic cantilever beam cutting method of the present invention will be described in further detail with reference to fig. 1-8.
As shown in fig. 1-5, the first embodiment of the present invention is designed to reduce the cantilever beam weight by 20% and maximize the stiffness:
the cantilever beam of FIG. 1 is ultrasonically cut twice to obtain the cantilever beam of the required design weight (shown in FIG. 5); the cutting steps are as follows: step (1) fixing the left end of the cantilever beam shown in figure 1 and keeping the cantilever beam in a horizontal state; the cantilever beam shown in fig. 1 is a regular rectangular section plate-like structure having a length of 160 mm and a width of 40 mm, and a surface area S of 64 cm. Step (2) applying a vertical downward acting force F to the center of the right end of the cantilever beam, wherein F is 100 newtons, and F is 1.5625S; furthermore, the acting force F can be adjusted to meet the condition that F is more than or equal to 1.5S and less than or equal to 2.5S; the cantilever beam exhibits a pronounced tendency to bend under the action of a force F (as shown in figure 2). And (3) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state. Step (4) finding out an effective stress area and an ineffective stress area of the cantilever beam bearing acting force F by adopting a Static Finite Element Method (Static Finite Element Method, short for Static FEM); the effective stress area is P more than or equal to 5.0 MPa, and the ineffective stress area is P less than 5.0 MPa; wherein P is pressure in Pa; specifically, in fig. 2, a region where P is 0.0083271 mpa, a region where P is 0.065601 mpa, a region where P is 0.51681 mpa, a region where P is 4.0714 mpa, a region where P is 32.074 mpa, and a region where P is 252.68 mpa are indicated; as can be seen, the regions where P is 0.0083271 mpa, P is 0.065601 mpa, P is 0.51681 mpa, and P is 4.0714 mpa are all regions of no effective stress; the region where P is 32.074 mpa and the region where P is 252.68 mpa are effective stress regions; the region of ineffective stress means that its effectiveness against the bearing force F is extremely low. Cutting off ineffective stress areas of the cantilever beam by using an ultrasonic device, namely cutting off the areas with the stress values of P being 0.0083271 mpa, P being 0.065601 mpa, P being 0.51681 mpa and P being 4.0714 mpa shown in fig. 2; cutting away the non-effective stress region of fig. 2 to leave an effective stress region (i.e., shown in fig. 3), which corresponds to the structural diagram shown in fig. 3; the cantilever beam shown in figure 3 is cut as it does not yet meet the required design requirements. And (6) fixing the left end of the cantilever beam shown in the figure 3 and keeping the cantilever beam in a horizontal state. Step (7) applies a vertically downward force F, which is 100 newtons, to the center of the right end of the cantilever beam shown in fig. 3, which force F causes the cantilever beam to have a significant tendency to bend (shown in fig. 4). And (8) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state. Step (9) finding out an effective stress area and an ineffective stress area of the cantilever beam bearing acting force F by adopting a Static Finite element method (Static Finite element method, short for Static FEM); the effective stress area is P more than or equal to 5.0 MPa, and the ineffective stress area is P less than 5.0 MPa; wherein P is pressure in Pa; specifically, in fig. 4, a region where P is 0 mpa, a region where P is 0.025299 mpa, a region where P is 0.25299 mpa, a region where P is 2.5299 mpa, a region where P is 25.299 mpa, and a region where P is 252.99 mpa are indicated; as can be seen, the regions where P is 0 mpa, 0.025299 mpa, 0.25299 mpa, and 2.5299 mpa are all regions of no effective stress; the region where P is 25.299 mpa and the region where P is 252.99 mpa are effective stress regions; the region of ineffective stress means that its effectiveness against the bearing force F is extremely low. Cutting off ineffective stress areas of the cantilever beam by using an ultrasonic device, namely cutting off the areas with the P being 0 MPa, the areas with the P being 0.025299 MPa, the areas with the P being 0.25299 MPa and the areas with the P being 2.5299 MPa shown in FIG. 4; cutting away the non-effective stress region of fig. 4 to leave an effective stress region (i.e., shown in fig. 5), which corresponds to the structural diagram shown in fig. 5; since the weight of the cantilever beam shown in fig. 5 satisfies the requirement of the required design (20% weight reduction), the lightweight cutting design of the conventional cantilever beam (shown in fig. 1) is completed, and the cantilever beam obtained after cutting is shown in fig. 5. The cantilever beam shown in figure 5 which is light-weighted is obtained by carrying out ultrasonic cutting twice continuously on the ineffective stress area of the cantilever beam shown in figure 1, so that the weight of the cantilever beam is greatly reduced to realize light-weighted design, but the rigidity and the bearing capacity of the cantilever beam still keep the requirements; therefore, after the cantilever beam is subjected to cutting treatment by using the method, the weight is greatly reduced, but the rigidity and the bearing capacity are not greatly influenced and can still meet the requirement. Meanwhile, the conventional cantilever beam (shown in fig. 1) is hollowed at multiple positions and curved at multiple positions of the edge part (shown in fig. 5) after ultrasonic cutting, so that the aesthetic feeling of industrial design is greatly improved. In addition, as shown in fig. 7 and 8, the ultrasonic cutting provided by the ultrasonic equipment of the present invention is relative to the cutting performed by the conventional CNC machine tool, so that the ineffective stress area can be precisely cut, and the cutting surface is not damaged.
As shown in fig. 6, the second embodiment of the present invention, the design requirement is that the cantilever beam weight is reduced by 50% and the rigidity is maximized:
the cantilever beam of this second embodiment is a regular rectangular cross-section plate-like structure with a length of 80 mm and a width of 50 mm, and its surface area S is 40 square centimeters. In the second example, the force F applied in the same manner as in the first example is 100 newtons, and before the first cutting, the force F is 2.5S, and further, the force F may be adjusted so as to satisfy 1.5S ≦ F ≦ 2.5S. The second embodiment is different from the first embodiment in that the cantilever beam is ultrasonically cut four times, and the structure of the cantilever beam after each ultrasonic cutting is shown in fig. 6. The cantilever beam with the required design requirement is obtained by performing ultrasonic cutting on the ineffective stress area of the cantilever beam shown in the figure 6 for four times continuously (weight reduction is 50 percent), so that the weight of the cantilever beam is greatly reduced to realize light-weight design, but the rigidity and the bearing capacity of the cantilever beam still keep the requirement; therefore, after the cantilever beam is subjected to cutting treatment by using the method, the weight is greatly reduced, but the rigidity and the bearing capacity are not greatly influenced and can still meet the requirement. Meanwhile, the conventional cantilever beam (shown in fig. 1) is hollowed at multiple positions and curved at multiple positions of the edge part (shown in fig. 5) after ultrasonic cutting, so that the aesthetic feeling of industrial design is greatly improved. In addition, as shown in fig. 7 and 8, the ultrasonic cutting provided by the ultrasonic equipment of the present invention is relative to the cutting performed by the conventional CNC machine tool, so that the ineffective stress area can be precisely cut, and the cutting surface is not damaged.
In addition, the static finite element method according to the present invention is well known to those skilled in the art, and will not be described in detail herein.
The above disclosure is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the scope of the present invention, therefore, the present invention is not limited by the appended claims.
Claims (2)
1. A method for ultrasonic cantilever beam cutting is characterized by comprising the following steps:
(1) fixing one end of the cantilever beam in the length direction, and keeping the cantilever beam in a horizontal state;
(2) applying a vertical downward acting force F to the center of the other end of the cantilever beam in the length direction, wherein the acting force F needs to enable the cantilever beam to have an obvious bending trend;
(3) keeping the acting force F unchanged and keeping the bent cantilever beam in a static state;
(4) an effective stress area and an ineffective stress area of a cantilever beam bearing acting force F are found out by adopting a static Finite Element Method (FEM), wherein P is more than or equal to 5.0 MPa in the effective stress area, and P is less than 5.0 MPa in the ineffective stress area; wherein P is pressure in Pa;
(5) cutting off the ineffective stress area of the cantilever beam by using ultrasonic equipment;
(6) and (5) circularly executing the steps (1) to (5) until the weight of the cantilever beam meets the required design.
2. The ultrasonic cantilever cutting method of claim 1, wherein: the acting force F satisfies the following relational expression: f is more than or equal to 1.5S and less than or equal to 2.5S; wherein F is in Newton; s is the surface area of the cantilever beam and is in square centimeters.
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Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20080300831A1 (en) * | 2006-12-19 | 2008-12-04 | Board Of Governors For Higher Education, State Of Rhode Island And Providence | System and method for finite element based on topology optimization |
| CN103955593A (en) * | 2013-11-29 | 2014-07-30 | 大连船舶重工集团有限公司 | Acquiring method for cantilever beam load spectrum of self-elevating drilling platform |
| CN104765922A (en) * | 2015-04-13 | 2015-07-08 | 西北工业大学 | Method for topological optimization design of cantilever beam structure based on shape-preserved constraints |
| CN106682310A (en) * | 2016-12-28 | 2017-05-17 | 西北工业大学 | Slender cantilever beam structure topology optimization design method considering large deformation accuracy shape control |
| US20180164165A1 (en) * | 2016-12-08 | 2018-06-14 | Magcanica, Inc. | Devices and methods to stimulate motion in magnetoelastic beams |
| CN110765579A (en) * | 2019-09-21 | 2020-02-07 | 蚌埠市力业传感器有限公司 | Cantilever beam sensor design method |
| CN110793673A (en) * | 2019-09-21 | 2020-02-14 | 蚌埠市力业传感器有限公司 | Cantilever beam sensor |
-
2021
- 2021-12-29 CN CN202111642796.7A patent/CN114289791A/en active Pending
Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20080300831A1 (en) * | 2006-12-19 | 2008-12-04 | Board Of Governors For Higher Education, State Of Rhode Island And Providence | System and method for finite element based on topology optimization |
| CN103955593A (en) * | 2013-11-29 | 2014-07-30 | 大连船舶重工集团有限公司 | Acquiring method for cantilever beam load spectrum of self-elevating drilling platform |
| CN104765922A (en) * | 2015-04-13 | 2015-07-08 | 西北工业大学 | Method for topological optimization design of cantilever beam structure based on shape-preserved constraints |
| US20180164165A1 (en) * | 2016-12-08 | 2018-06-14 | Magcanica, Inc. | Devices and methods to stimulate motion in magnetoelastic beams |
| CN106682310A (en) * | 2016-12-28 | 2017-05-17 | 西北工业大学 | Slender cantilever beam structure topology optimization design method considering large deformation accuracy shape control |
| CN110765579A (en) * | 2019-09-21 | 2020-02-07 | 蚌埠市力业传感器有限公司 | Cantilever beam sensor design method |
| CN110793673A (en) * | 2019-09-21 | 2020-02-14 | 蚌埠市力业传感器有限公司 | Cantilever beam sensor |
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