Ultrasonic machining assembly
By placing the wireless transmission module inside the spindle, the incompatibility problem between the tool magazine and the automatic tool changer caused by the power transmission structure is solved. This achieves the versatility and flexibility of the ultrasonic machining components, reduces costs, extends service life, and improves machining accuracy and balance level.
Patent Information
- Application Number
- CN202520090719.2
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-01-15
- Publication Date
- 2025-12-19
- Estimated Expiration
- 2035-01-15
AI Technical Summary
In existing ultrasonic processing equipment, the power transmission structure occupies space in the processing area, affecting the machine tool's processing stroke and flexibility, leading to incompatibility between the tool magazine and automatic tool changer system, and increasing the weight of the tool holder, which affects dynamic balance and processing accuracy.
The wireless transmission module is detached from the tool holder body and the front end of the spindle and placed inside the spindle. It is connected to the tool holder body through the contact points of the rotating spindle to achieve stable power transmission between the ultrasonic power supply and the transducer module, which is suitable for various tool magazines and automatic tool changing systems.
It improves the equipment versatility and flexibility of ultrasonic processing components, reduces manufacturing and usage costs, extends the service life of transmission modules, and enhances processing accuracy and balance level.
Smart Images

Figure CN223684951U_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The utility model relates to ultrasonic machining technical field, especially relates to a ultrasonic machining assembly. BACKGROUND
[0002] In the ultrasonic machining equipment, the design of the tool holder is often limited by the power transmission. Because the tool holder needs to be provided with ultrasonic vibration capacity, the power transmission related structure is usually arranged inside and on the periphery of the tool holder. In the current common design, the wireless receiving assembly of the power transmission structure is arranged on the periphery of the tool holder, and the wireless transmitting assembly is installed at the front end of the main shaft.
[0003] This power transmission scheme occupies the space around the machining area, affects the machining stroke and flexibility of the machine tool, and also causes space interference with the tool magazine space and tool changing action, which restricts the use of the tool magazine and the automatic tool changing system. Even if the structure scheme of sacrificing transmission effect and the local modification of the tool magazine are adopted, automatic tool changing can only be realized in some types of tool magazines. In the disc type, chain type and other types of tool magazines, automatic tool changing cannot be realized, and ultrasonic tool holders and conventional tool holders cannot be mixed and used. In addition, integrating the wireless receiving assembly in the tool holder increases the weight of the tool holder, especially during high-speed rotation, which easily affects the dynamic balance and machining precision of the machining assembly.
[0004] Ultrasonic auxiliary machining is often used only in some important processes of precision machining, and mixing with conventional tool holders can reduce clamping and facilitate the realization of higher precision machining, and in the future, ultrasonic auxiliary machining will occupy more and more mainstream. This determines that in the modern machining environment pursuing higher compatibility and flexibility, the foregoing power transmission scheme will restrict the practical application of ultrasonic auxiliary machining. SUMMARY
[0005] The utility model provides a kind of ultrasonic machining assembly, it is aimed at by being placed after the wireless transmission module from tool holder body and the front end of main shaft is stripped, effectively release the space of the periphery of tool holder and the front end of main shaft, solve the problem of incompatibility caused by power transmission module with part form tool magazine and automatic tool changing path.
[0006] In order to achieve the above object, the utility model provides an ultrasonic machining assembly, the ultrasonic machining assembly includes: main shaft body (1), rotating core shaft (2), wireless transmission module (3), tool holder body (4) and transducer module (5), rotating core shaft (2) is worn in main shaft body (1), and the both ends of main shaft body (1) are provided with first bearing group (121) and second bearing group (122) respectively, and rotating core shaft (2) is rotatably connected with one end of main shaft body (1) through first bearing group (121), and rotating core shaft (2) is rotatably connected with the other end of main shaft body (1) through second bearing group (122), rotating core shaft (2) is connected with tool holder body (4) at the front end, and the front end of tool holder body (4) is equipped with the cavity, and transducer module (5) is partially arranged in the cavity of the front end of tool holder body (4).
[0007] Wherein, wireless transmission module (3) includes: transmitting ring (31) and receiving ring (32), transmitting ring (31) is connected in the rear end inner wall of main shaft body (1), and is used for being connected with the ultrasonic power supply outside through cable (311), receiving ring (32) is arranged on the rear end outer periphery of rotating core shaft (2) and is opposite to the gap of transmitting ring (31), receiving ring (32) is provided with output wire (321), output wire (321) passes through the inner hole of rotating core shaft (2) and is electrically connected with transducer module (5), and receiving ring (32) and transmitting ring (31) are magnetically coupled.
[0008] In an embodiment, transducer module (5) is used for converting electrical energy into mechanical vibration, and transducer module (5) at least includes: amplitude transformer (51), piezoelectric ceramic sheet (52), electrode sheet (53), back cover plate (54) and screw rod (55), one end of amplitude transformer (51) is provided with containing cavity, the containing cavity is provided with screw thread to install tool assembly (6), piezoelectric ceramic sheet (52) and electrode sheet (53) are sequentially and spacedly arranged on the end of amplitude transformer (51) away from the containing cavity, back cover plate (54) is stacked on one side surface of piezoelectric ceramic sheet (52) and electrode sheet (53), screw rod (55) is arranged in the center of piezoelectric ceramic sheet (52), electrode sheet (53) and back cover plate (54) and is threadedly connected with amplitude transformer (51), the polarities of the two end faces of each piezoelectric ceramic sheet (52) are opposite, adjacent piezoelectric ceramic sheets (52) are arranged with the same polarity face facing each other, and electrode sheet (53) has wire (56) leading out.
[0009] In one embodiment, the drawbar interface end face of the tool holder body (4) is symmetrically provided with two small holes leading to the front end cavity, each small hole is provided with an elastic contact (42) on one side of the drawbar end face, an insulating sleeve is arranged between each elastic contact (42) and the small hole, and each elastic contact (42) is installed higher than the drawbar end face of the tool holder body (4), and the two elastic contacts (42) are electrically connected with two wires (56) of the transducer module (5) as the input interface of the transducer module (5).
[0010] In one embodiment, the rotating mandrel (2) is symmetrically provided with two through holes leading from the rear end to the drawbar interface end face in the circumferential direction, the through holes are provided with fixed contacts (22) on one side of the drawbar interface end face, an insulating sleeve is arranged between the fixed contacts (22) and the through holes, and the fixed contacts (22) are installed lower than the drawbar interface end face of the rotating mandrel (2), and the two output wires (321) of the receiving ring (32) are connected to the fixed contacts (22) through the two through holes of the rotating mandrel (2).
[0011] In one embodiment, the two elastic contacts (42) are electrically connected with the two fixed contacts (22) respectively, and the elastic contacts (42) are arranged in a spring mode or a wave mode.
[0012] In one embodiment, the front end of the rotating mandrel (2) and the rear end of the tool holder body (4) are provided with corresponding standard tool holder drawbar interfaces, the rotating mandrel (2) is internally provided with a cavity, the cavity is provided with a drawbar assembly (23), the front end of the drawbar assembly (23) is matched with the cavity of the tool holder body (4) drawbar interface, and the connection and separation of the tool holder body (4) and the rotating mandrel (2) are realized through the axial forward and backward movement.
[0013] In one embodiment, one end of the drawbar assembly (23) is provided with an elastic structure, and the other end is correspondingly provided with a driving source (13), the driving source (13) drives the drawbar assembly (23) to move forward and backward through the forward and backward movement of the central shaft of the driving source (13).
[0014] In one embodiment, an internal motor is arranged between the first bearing set (121) and the second bearing set (122), the internal motor includes a motor stator (14) and a motor rotor (24), the motor stator (14) is arranged on the inner wall of the main shaft body (1), and the motor rotor (24) is arranged on the corresponding position of the outer wall of the rotating mandrel (2).
[0015] The beneficial effects of the technical scheme of the utility model are as follows:
[0016] By adjusting the position of the wireless transmission module, the ultrasonic machining assembly can adapt to all kinds of tool magazines and automatic tool changing systems at present, and can be used universally on different equipment. At the same time, reducing the weight of the tool holder is also conducive to improving the balance level and precision level of the tool holder itself.
[0017] In addition, the wireless transmission module is arranged in the internal space of the main shaft to form a relatively fixed one-to-one combination, thereby reducing the manufacturing amount of the receiving ring and greatly reducing the manufacturing cost. Meanwhile, the wireless transmission module is also free from the interference of debris and cutting fluid during processing, thereby improving the stability and service life of the wireless transmission module.
[0018] The elastic contact and the fixed contact can adapt to the dynamic changes of processing, and maintain the stability of electrical connection, so that the electrical continuity is not affected even in the case of high-speed rotation or frequent start-stop. The fixed contact is designed to be lower than the end face, so that the conduction of the non-ultrasonic tool holder and the abnormal wear of the contact can be avoided, and the service life is improved.
[0019] In summary, the wireless transmission module is arranged at the rear of the tool holder and separated from the tool holder body, so that the space at the front end of the tool holder and the main shaft is effectively released, and the versatility and flexibility of the equipment are improved. While improving the working environment of the wireless transmission module and prolonging the service life of the ultrasonic auxiliary processing system, the manufacturing and use costs are reduced. BRIEF DESCRIPTION OF DRAWINGS
[0020] Figure 1 A shaft view of the main body in an embodiment provided by the utility model;
[0021] Figure 2 A structure schematic view in an embodiment provided by the utility model;
[0022] Figure 3 A structure schematic view of the transducer module in an embodiment provided by the utility model;
[0023] Figure 4 A structure schematic view of the tool holder part in an embodiment provided by the utility model;
[0024] Figure 5 A structure schematic view of the rotating mandrel part in an embodiment provided by the utility model.
[0025] The implementation, functional characteristics and advantages of the utility model will be further described with reference to the embodiments and the accompanying drawings. DETAILED DESCRIPTION
[0026] The schemes in the embodiments of the utility model will be clearly and completely described below in combination with the drawings in the embodiments of the utility model. Obviously, the described embodiments are only part of the embodiments of the utility model, rather than all the embodiments. Based on the embodiments of the utility model, all other embodiments obtained by those skilled in the art without creative labor fall within the protection scope of the utility model.
[0027] It should be noted that all directional indications (such as up, down, left, right, front, back, etc.) in the embodiments of the present application are only used to explain the relative position relationship, movement condition, etc. between components in a certain specific posture (as shown in the drawings), and if the specific posture changes, the directional indications will also change accordingly.
[0028] It should also be noted that when an element is referred to as being "fixed" or "set" on another element, it can be directly on the other element or a middle element can be present at the same time. When an element is referred to as being "connected" to another element, it can be directly connected to the other element or a middle element can be present at the same time.
[0029] In addition, if the present application involves descriptions such as "first", "second", etc., they are only for descriptive purposes (such as for distinguishing the same or similar elements), and cannot be understood as indicating or implying the relative importance of the indicated technical features or implicitly indicating the number of the indicated technical features. Therefore, the features limited by "first", "second" can explicitly or implicitly include at least one of the features. In addition, the technical solutions of each embodiment can be combined with each other, but it must be based on the realization of ordinary skilled in the art, when the combination of technical solutions appears contradictory or cannot be realized, it should be considered that the combination of technical solutions does not exist, nor within the protection scope required by the present application.
[0030] The utility model provides a kind of ultrasonic machining assembly, refer to Figures 1-5 Including: main shaft body (1), rotating mandrel (2), wireless transmission module (3), tool shank body (4) and transducer module (5).
[0031] In the embodiment, refer to Figure 1 And Figure 2As shown, the rotating shaft (2) is arranged in the main shaft body (1), the two ends of the main shaft body (1) are respectively provided with a first bearing set (121) and a second bearing set (122), the rotating shaft (2) is rotatably connected with one end of the main shaft body (1) through the first bearing set (121), and the rotating shaft (2) is rotatably connected with the other end of the main shaft body (1) through the second bearing set (122); the rotating shaft (2) is connected with the tool holder body (4) at the front end, the tool holder body (4) is provided with a cavity at the front end, and the transducer module (5) is arranged in the cavity at the front end of the tool holder body (4), wherein the wireless transmission module (3) comprises: a transmitting ring (31) and a receiving ring (32), the transmitting ring (31) is connected to the inner wall of the rear end of the main shaft body (1) and is used for being connected with an external ultrasonic power supply through a cable (311), the receiving ring (32) is arranged on the outer periphery of the rear end of the rotating shaft (2) and is opposite to the transmitting ring (31) with a gap, the receiving ring (32) is provided with an output lead wire (321), the output lead wire (321) passes through the inner hole of the rotating shaft (2) and is electrically connected with the transducer module (5), and the receiving ring (32) is magnetically coupled with the transmitting ring (31), wherein, Figure 2 In the embodiment, the reference sign 11 represents the basic main body structure of the main shaft body (1).
[0032] In one of the embodiments, as shown in the figure, Figure 2 The output lead wire 321 passes through the inner hole of the rotating shaft (2) and is in contact with the transducer input port arranged on the tool holder body (4), so as to realize the electrical connection with the transducer module (5), the receiving ring (32) is magnetically coupled with the transmitting ring (31), so as to realize the stable transmission of signals and energy between the ultrasonic power supply and the transducer module (5) during rotation.
[0033] In the embodiment, the wireless transmission module (3) is arranged at the rear side inside the main shaft, and the stable transmission of signals and energy between the ultrasonic power supply and the transducer module (5) is realized through the contact connection arranged on the rotating shaft (2) and the tool holder body (4). Compared with the prior art in which the wireless transmission module (3) is arranged at the front end of the main shaft, the clamping shape of the tool holder body (4) can be consistent with the conventional tool holder, the space at the front end of the main shaft is avoided, the ultrasonic machining assembly can be adapted to all kinds of tool magazines and automatic tool changing systems, and the universal mixed use with the conventional tool holder can be realized on different equipment; the problem that the distance between the front bearing set support point and the broach port is large in the scheme of being arranged at the front side of the main shaft, the main shaft precision and rigidity are reduced, the weight of the tool holder is reduced, and the balance level and precision level of the tool holder itself are improved.
[0034] In addition, the wireless transmission module is arranged in the internal space of the main shaft to form a pair of relatively fixed transmitting ring (31) and receiving ring (32), which reduces the manufacturing amount of the receiving ring, and the tool holder is a machining consumable, so that the manufacturing cost can be greatly reduced. At the same time, the interference of debris and cutting fluid in machining is avoided, and the consistency problem of wireless transmission efficiency caused by switching of the receiving ring during switching of the tool holder is avoided, and the stability and service life of the transmission module are improved.
[0035] In an embodiment, the transducer module (5) is used to convert electrical energy into mechanical vibration. The transducer module (5) generates corresponding mechanical vibration with the input of electrical energy, and transmits the vibration to the tool assembly 6 through the amplitude horn 51 to realize ultrasonic machining of the workpiece.
[0036] In an embodiment, as shown in Figure 3 The transducer module (5) is used to convert electrical energy into mechanical vibration, and the transducer module (5) at least includes: an amplitude horn (51), a piezoelectric ceramic sheet (52), an electrode sheet (53), a back cover plate (54) and a screw rod (55); the amplitude horn (51) is provided with a receiving cavity at one end, the receiving cavity is provided with threads to install the tool assembly (6), the piezoelectric ceramic sheet (52) and the electrode sheet (53) are sequentially and spaced stacked at the end of the amplitude horn (51) away from the receiving cavity, the back cover plate (54) is stacked on one side surface of the piezoelectric ceramic sheet (52) and the electrode sheet (53), and the screw rod (55) is arranged in the center of the piezoelectric ceramic sheet (52), the electrode sheet (53) and the back cover plate (54) and is threadedly connected with the amplitude horn (51). Each piezoelectric ceramic sheet (52) has two end faces with opposite polarities, and adjacent piezoelectric ceramic sheets (52) are arranged with the same polarity faces facing each other. The electrode sheet (53) has a wire (56) leading out.
[0037] In an embodiment, as shown in Figure 4 The tool holder body (4) is provided with two small holes leading to the front end cavity on the symmetric end face of the broach interface, and each small hole is provided with an elastic contact (42) on one side of the broach end face. An insulating sleeve is arranged between each elastic contact (42) and the small hole, and each elastic contact (42) is installed higher than the broach end face of the tool holder body (4). Two elastic contacts (42) are respectively electrically connected with two wires (56) of the transducer module (5) to serve as the input interface of the transducer module (5), Figure 4 In the embodiment, the reference numeral 41 represents the basic body structure of the tool holder body (4).
[0038] Correspondingly, as shown in Figure 5As shown, the label 22 is the basic body of the rotating mandrel (2), which is circumferentially symmetrical and provided with two through holes from the rear end to the drawbar interface end face, and the fixed contact (22) is arranged on the side of the drawbar interface end face. The fixed contact (22) is provided with an insulating sleeve between the through hole and the fixed contact (22), and the fixed contact (22) should be lower than the drawbar interface end face of the rotating mandrel (2) after installation. The two output leads (321) of the receiving ring (32) are connected to the fixed contact (22) through the two through holes of the rotating mandrel (2). The setting of the insulating sleeve is also to effectively avoid the short circuit between the two poles of the circuit, and the fixed contact 22 lower than the drawbar interface end face of the rotating mandrel 2 can ensure that the touch point will not be unnecessarily worn and the short circuit between the two poles of the circuit when using the conventional tool holder.
[0039] In machine tool processing, the tool changing action is frequent, and the above-mentioned touch point scheme can greatly improve the service life of the touch point part and reduce the corresponding maintenance cost.
[0040] In an embodiment, two elastic contacts (42) are respectively electrically connected with two fixed contacts (22), and the elastic contact (42) is arranged in a spring mode or a wave mode.
[0041] Among them, the elastic contact (42) can be arranged in a spring mode, or in a wave mode, or in the form of other compressible materials, to ensure that the internal components of the main shaft can also maintain continuous electrical contact under the premise of movement or vibration, and under the condition of high-speed rotation or frequent start and stop, and also provide a certain degree of mechanical buffer, reduce the influence of stress generated by movement, and ensure that the transducer module can continuously receive stable power supply, even without affecting the electrical continuity, so as to ensure the stable work of the transducer in processing.
[0042] In an embodiment, in combination Figure 5 , the front end of the rotating mandrel (2) and the rear end of the tool holder body (4) are provided with corresponding standard tool holder drawbar interfaces, and the rotating mandrel (2) is provided with a cavity inside, and the drawbar assembly (23) is arranged in the cavity. The front end of the drawbar assembly (23) cooperates with the cavity of the drawbar interface of the tool holder body (4), and the connection and separation of the tool holder body (4) and the rotating mandrel (2) are realized by the forward and backward movement of the drawbar assembly (23).
[0043] Further, as shown in Figure 5 and Figure 1 , one end of the drawbar assembly (23) is provided with an elastic structure, and the other end is provided with a driving source (13). The driving source (13) drives the drawbar assembly (23) to move forward and backward through the forward and backward movement of its central axis. Further, the driving source (13) can be an electric driving source or a pneumatic driving source, which is used to adapt to different use environments and needs.
[0044] Specifically, the driving source (13) is arranged in the form of a cylinder.
[0045] In an embodiment, in combination with Figure 2 and Figure 5 The first bearing set (121) and the second bearing set (122) are provided with an internal motor, which includes a motor stator (14) and a motor rotor (24), the motor stator (14) is arranged on the inner wall of the main shaft body (1), and the motor rotor (24) is arranged at the corresponding position on the outer wall of the rotating shaft (2), and the main shaft motor is beneficial to improving the transmission efficiency, stability and precision.
[0046] In an embodiment, the ultrasonic power supply is used to provide the required ultrasonic frequency alternating current power for the transducer module (5).
[0047] The above only describes some or preferred embodiments of the present application, neither the text nor the drawings can limit the scope of protection of the present application, any equivalent structural transformation or direct / indirect application in other related technical fields based on the content of the present application and the drawings is included in the scope of protection of the present application.
Claims
1. An ultrasonic processing assembly, characterized in that, The utility model relates to a kind of rotating ultrasonic vibration energy supply device, including: Main shaft body (1), rotating mandrel (2), wireless transmission module (3), tool holder body (4) and transducer module (5);Rotating mandrel (2) is arranged in main shaft body (1), and the both ends of main shaft body (1) are provided with first bearing group (121) and second bearing group (122) respectively, rotating mandrel (2) is rotatably connected with one end of main shaft body (1) by first bearing group (121), and rotating mandrel (2) is rotatably connected with the other end of main shaft body (1) by second bearing group (122);Rotating mandrel (2) front end connects tool holder body (4), and tool holder body (4) front end is equipped with cavity, and transducer module (5) is partially arranged in the cavity of tool holder body (4) front end; Wireless transmission module (3) includes: transmitting ring (31) and receiving ring (32), transmitting ring (31) is connected in the rear end inner wall of main shaft body (1), and is used to be connected with the outside ultrasonic power supply by cable (311), receiving ring (32) is arranged on the rear end outer periphery of rotating mandrel (2) and is opposite to the gap of transmitting ring (31), and receiving ring (32) is provided with output lead (321), output lead (321) passes through the inner hole of rotating mandrel (2), and is electrically connected with transducer module (5), and receiving ring (32) and transmitting ring (31) are magnetically coupled.
2. An ultrasonic machining assembly according to claim 1, wherein Transducer module (5) is used to convert electrical energy into mechanical vibration, and transducer module (5) at least includes: amplitude transformer (51), piezoelectric ceramic sheet (52), electrode sheet (53), back cover plate (54) and screw rod (55);The one end of amplitude transformer (51) is equipped with accommodating cavity, the accommodating cavity is provided with screw thread to install tool assembly (6), piezoelectric ceramic sheet (52) and electrode sheet (53) are sequentially and spacedly arranged on the one end of amplitude transformer (51) away from the accommodating cavity, back cover plate (54) is stacked on the one side surface of piezoelectric ceramic sheet (52) and electrode sheet (53), screw rod (55) is arranged in the center of piezoelectric ceramic sheet (52), electrode sheet (53) and back cover plate (54) and is threadedly connected with amplitude transformer (51), the polarities of the two end faces of each piezoelectric ceramic sheet (52) are opposite, and the adjacent piezoelectric ceramic sheets (52) are arranged with the same polarity face facing each other, and electrode sheet (53) has lead-out wire (56) leading out.
3. An ultrasonic machining assembly according to claim 2, wherein The tool holder body (4) is provided with two small holes leading to the front end cavity on the end surface of the broach interface symmetrically, and each small hole is provided with a resilient contact (42) on one side of the broach end surface, and an insulating sleeve is arranged between each resilient contact (42) and the small hole, and each resilient contact (42) is installed and should be higher than the broach end surface of the tool holder body (4), and the two resilient contacts (42) are electrically connected with two lead-out wires (56) of transducer module (5) to serve as the input interface of transducer module (5).
4. The ultrasonic machining assembly of claim 1, wherein, The rotating core shaft (2) is provided with two through holes symmetrically arranged in the circumferential direction and leading to the drawbar interface end surface from the rear end. The through holes are provided with fixed contacts (22) on the side of the drawbar interface end surface. An insulating sleeve is arranged between the fixed contacts (22) and the through holes. The fixed contacts (22) should be lower than the drawbar interface end surface of the rotating core shaft (2) after installation. Two output leads (321) of the receiving ring (32) are connected to the fixed contacts (22) through the two through holes of the rotating core shaft (2), respectively.
5. An ultrasonic machining assembly according to claim 4, wherein Two elastic contacts (42) are electrically connected to the two fixed contacts (22), respectively. The elastic contacts (42) are arranged in a spring mode or a wave mode.
6. The ultrasonic machining assembly of claim 1, wherein, The front end of the rotating core shaft (2) and the rear end of the tool shank body (4) are provided with corresponding standard tool shank drawbar interfaces. The rotating core shaft (2) is internally provided with a cavity. The cavity is provided with a drawbar assembly (23). The front end of the drawbar assembly (23) is matched with the cavity of the tool shank body (4) drawbar interface. The connection and separation of the tool shank body (4) and the rotating core shaft (2) are realized through the forward and backward movement of the drawbar assembly (23).
7. An ultrasonic machining assembly according to claim 6, wherein One end of the drawbar assembly (23) is provided with an elastic structure, and the other end is correspondingly provided with a driving source (13). The driving source (13) is pushed to move forward and backward to drive the drawbar assembly (23) to move forward and backward through the central axis of the driving source (13).
8. The ultrasonic machining assembly of claim 1, wherein, The first bearing set (121) and the second bearing set (122) are provided with an internal motor. The internal motor includes a motor stator (14) and a motor rotor (24). The motor stator (14) is arranged on the inner wall of the main shaft body (1). The motor rotor (24) is arranged on the corresponding position of the outer wall of the rotating core shaft (2).