Anti-deformation brake fixed caliper assembly
By installing a reinforcement assembly on the back of the brake pad and connecting it with the control block, it can adjust its position, the problem of brake pad bending and deformation caused by uneven piston movement in the multi-piston brake caliper assembly is solved, and a better braking effect and service life is achieved.
Patent Information
- Application Number
- CN202510156623.6
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-13
- Publication Date
- 2025-03-14
- Estimated Expiration
- Not applicable · inactive patent
AI Technical Summary
The uneven movement of the piston in the multi-piston brake caliper assembly causes the brake pad to produce pulling force, bending deformation, affecting the braking effect and service life.
An anti-deformation brake caliper assembly is designed. By installing a reinforcement assembly on the back of the brake pad and connecting it with the control block, the reinforcement assembly can move horizontally with the control block to balance the stress and loss.
It effectively enhances the strength of the brake pad, prevents bending and deformation, maintains the fit between the brake pad and the brake disc, extends the service life, and improves the reliability of the brake system.
Smart Images

Figure CN119617038A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of brake fixed calipers, in particular to an anti-deformation brake fixed caliper assembly. Background Art
[0002] The brake caliper assembly is a key component in the automobile braking system. When the driver steps on the brake pedal, the brake fluid in the master cylinder is transmitted to the piston chamber in the brake caliper assembly through the brake pipe. The pressure of the brake fluid pushes the piston outward, and the piston pushes the brake pad to the brake disc and clamps the brake disc. The friction between the brake pad and the brake disc will reduce the rotation speed of the wheel, thereby achieving the braking of the vehicle. The brake caliper assembly plays a vital role in the safe driving of the car. The performance of the brake caliper directly affects the braking effect, braking stability and braking comfort of the car.
[0003] During normal braking, the brake pads need to fit evenly on the brake disc to provide stable friction so that the vehicle can slow down or stop smoothly. The existing multi-piston brake caliper assembly has multiple piston cavities inside the brake caliper body. Common layouts include four-piston and six-piston layouts. The piston cavity is used to accommodate the pistons. There are generally two brake pads in the multi-piston brake caliper assembly, which are located on both sides of the brake disc. Each piston acts on a different part of the brake pad. Multiple pistons work together to enable the brake pad to clamp the brake disc evenly. When the driver steps on the brake pedal, the hydraulic pressure generated by the brake master cylinder is transmitted to each piston cavity of the multi-piston brake caliper assembly through the brake line. The brake fluid pushes the piston outward in the piston cavity, and each piston applies a force to the brake pad to tightly clamp the brake disc.
[0004] In a multi-piston brake caliper assembly, the microscopic environment of each piston is not exactly the same. Furthermore, the piston will also cause uneven movement due to factors such as surface wear, jamming, and sealing problems, making it difficult for each piston to move completely simultaneously and at the same speed during braking. When the pistons move unevenly, the brake pads connected to them will be subjected to different forces. Since the brake pad is a whole, the forces applied to it by different pistons are inconsistent, which will generate a pulling force inside the brake pad. One part of the piston pushes the brake pad quickly, while the movement of the other part of the piston is relatively lagging. Then, on the brake pad, the force applied by the fast-moving piston and the relative "resistance" of the lagging piston will cause the brake pad to pull. This pulling force will cause the part of the brake pad between the two pistons to be easily bent and deformed. Once the brake pad is deformed, it is difficult to maintain uniform contact with the brake disc, so that only some areas of the brake pad can effectively contact the brake disc, while other areas have gaps or insufficient contact pressure, which will lead to a decrease in braking effect, such as a longer braking distance. Moreover, uneven contact will accelerate the local wear of the brake pad and the brake disc, shortening their service life. Summary of the invention
[0005] The object of the present invention is to provide an anti-deformation brake caliper assembly to solve the problem that the uneven movement of pistons in a multi-piston brake caliper assembly causes the brake pad to generate pulling force and bending deformation.
[0006] To achieve the above object, the present invention provides the following technical solutions: A deformation-resistant brake caliper assembly comprises a caliper housing and a brake pad, a reinforcing rib assembly being installed on the back of the brake pad, a docking sleeve being fixedly connected to the surface of the reinforcing rib assembly, a positioning plate being installed on the surface of the caliper housing, a horizontally movable regulating block being connected to the surface of the positioning plate, and the docking sleeve being slidably sleeved on the surface of the regulating block.
[0007] Preferably, the reinforcing rib assembly includes a reinforcing trunk and a plurality of additional blocks, the additional blocks are distributed on both sides of the reinforcing trunk, the plurality of additional blocks are detachably connected to each other in sequence, and the additional blocks connected to the two ends of the reinforcing trunk are detachably connected to the reinforcing trunk.
[0008] Preferably, one side of the additional block and both sides of the reinforcement trunk are fixedly connected with a T-shaped joint, and the other side of the additional block is provided with a T-shaped docking groove for the T-shaped joint to slide.
[0009] Preferably, a plurality of limiting sleeves are fixedly connected to the surface of the brake pad, and the limiting sleeves are mainly used to guide the reinforcing rib assembly to move in a horizontal direction.
[0010] Preferably, the surface of the brake pad is fixedly connected with guide sleeves of the same number as the limiting sleeves, and the guide sleeves are used to guide the additional block to move toward a path deviating from the horizontal movement direction of the reinforcing rib assembly.
[0011] Preferably, a plurality of storage shells are fixedly connected to the surface of the brake pad, and the storage shells are used to prevent the disassembled additional blocks from falling off.
[0012] Preferably, a transition sleeve is provided between each of the guide sleeves and the storage sleeve, the transition sleeve is fixedly connected to the brake pad, an opening at one end of the transition sleeve is aligned with an opening at one end of the storage sleeve, and an opening at the other end of the transition sleeve is aligned with an opening at one end of the guide sleeve, and a pushing assembly is installed on the surface of the transition sleeve, and the pushing assembly is used to push the additional block located in the transition sleeve to the opening of the storage sleeve.
[0013] Preferably, the height of the transition casing is greater than the height of the additional blocks, and the width of the transition casing is less than the width of the two additional blocks.
[0014] Preferably, the inner wall of each storage shell is fixedly connected with a support plate, the surface of the support plate is fixedly connected with a first spring, and the first spring has elastic potential energy.
[0015] Compared with the prior art, the present invention has the following beneficial effects: By setting up the reinforcing rib assembly, the strength of the brake pad is effectively enhanced, bending deformation caused by uneven piston movement is prevented, and the brake pad and brake disc are maintained in close contact. The connection design between the reinforcing rib assembly and the regulating block allows it to adjust its position with the horizontal movement of the regulating block, balancing the force and loss of each part, extending the service life of the assembly and related components, and giving full play to the function of each part of the assembly. BRIEF DESCRIPTION OF THE DRAWINGS
[0016] Figure 1 It is a schematic diagram of the overall structure of the present invention; Figure 2 A schematic diagram of the relative positions of the brake pad and the positioning pad of the present invention; Figure 3 It is a schematic diagram of the structure of the positioning sheet of the present invention; Figure 4 It is a schematic diagram of the structure of the brake pad of the present invention; Figure 5 It is a schematic diagram of the relative positions of the reinforcing rib assembly and the brake pad of the present invention; Figure 6 It is a schematic diagram of the vertical section structure of the limiting sleeve, the guide sleeve, the transition sleeve, and the storage sleeve of the present invention; Figure 7 It is a structural schematic diagram of the reinforcing rib assembly of the present invention; Figure 8 It is a left side view of the brake pad of the present invention; Fig. 9 For the present invention Figure 8 The enlarged view of point A in the middle; Fig.10 It is a schematic diagram of the structure of the push assembly of the present invention; Fig.11 It is a schematic diagram of the structure of the limiting sleeve, the guide sleeve, the transition sleeve, and the storage sleeve of the present invention; Fig.12 It is a structural schematic diagram of the additional block of the present invention.
[0017] In the figure: 1. caliper housing; 2. piston tail; 3. piston head; 4. brake pad; 5. positioning plate; 6. motor; 7. threaded rod; 8. regulating block; 9. slide rail; 10. docking sleeve; 11. reinforced trunk; 12. additional block; 13. T-shaped joint; 14. limit sleeve; 15. guide sleeve; 16. transition sleeve; 17. storage sleeve; 18. support plate; 19. first spring; 20. first fixed block; 21. second spring; 22. force block; 23. linkage block; 24. first avoidance groove; 25. second avoidance groove; 26. limit slot; 27. T-shaped docking groove; 28. second fixed block; 29. through hole. DETAILED DESCRIPTION
[0018] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0019] See also Figures 1 to 12 , the present invention provides a technical solution.
[0020] A deformation-proof brake fixed caliper assembly comprises a caliper housing 1 and a brake pad 4, a reinforcing rib assembly is installed on the back of the brake pad 4, a docking sleeve 10 is fixedly connected to the surface of the reinforcing rib assembly, a positioning piece 5 is installed on the surface of the caliper housing 1, a horizontally movable regulating block 8 is connected to the surface of the positioning piece 5, the docking sleeve 10 is slidably sleeved on the surface of the regulating block 8, a screw drive assembly is installed on the surface of the positioning piece 5, the screw drive assembly is used to drive the regulating block 8 to move horizontally, and the screw drive assembly can also be replaced with an electric push rod to drive the regulating block 8 to move horizontally as needed; By setting up the reinforcing rib assembly, the strength of the brake pad 4 can be effectively enhanced, and the brake pad 4 can be effectively prevented from bending and deforming due to uneven piston movement, ensuring that the brake pad 4 maintains a good shape during braking, maintaining the fit between the brake pad 4 and the brake disc, and ensuring driving safety. At the same time, the docking sleeve 10 is sleeved on the surface of the regulating block 8. When the regulating block 8 moves horizontally, it will drive the reinforcing rib assembly to move horizontally synchronously, so that the reinforcing rib assembly can adjust its own position. This feature is of key significance. It avoids the situation where a certain section of the reinforcing rib assembly is in a high stress area for a long time and is excessively worn, and a certain section is in a low stress area for a long time and is idle. In this way, the force and loss of each part of the reinforcing rib assembly can be balanced, which not only extends the service life of the reinforcing rib assembly and related components, but also gives full play to the role of each part of the assembly.
[0021] In addition, the adjustable position of the reinforcement rib assembly enables it to dynamically adapt according to the actual situation of the piston movement, effectively respond to the force changes of the brake pad 4, enhance the adaptability of the braking system to complex working conditions, and further improve the reliability of the entire braking system.
[0022] The screw transmission assembly includes a motor 6 and a threaded rod 7. The surface of the positioning piece 5 is fixedly connected to a second fixed block 28. The threaded rod 7 is rotatably connected to the surface of the second fixed block 28. The threaded rod 7 movably penetrates the surface of the regulating block 8, and the threaded rod 7 and the regulating block 8 are threadedly connected. The motor 6 is fixedly installed on the surface of the positioning piece 5. The output end of the motor 6 is coaxially fixedly connected to one end of the threaded rod 7. The surface of the positioning piece 5 is provided with a slide rail 9 for horizontal movement of the regulating block 8. The threaded rod 7 is driven to rotate by starting the motor 6. Through the threaded cooperation between the threaded rod 7 and the regulating block 8, the threaded rod 7 rotates to make the regulating block 8 move horizontally along the track of the slide rail 9.
[0023] It also includes multiple piston assemblies, which include a piston tail 2 and a piston head 3. The piston tail 2 and the piston head 3 are coaxially fixedly connected, one end of each of the multiple piston heads 3 is fixedly connected to the brake pad 4, and the surface of the positioning plate 5 is provided with a through hole 29 for the piston head 3 to pass through, and the aperture of the through hole 29 is larger than the diameter of the piston head 3.
[0024] The reinforcement rib assembly includes a reinforcement trunk 11 and a plurality of additional blocks 12. The additional blocks 12 are distributed on both sides of the reinforcement trunk 11. The plurality of additional blocks 12 are detachably connected to each other in sequence, and the additional blocks 12 connected to the two ends of the reinforcement trunk 11 are detachably connected to the reinforcement trunk 11. By setting a plurality of additional blocks 12, when the reinforcement trunk 11 moves horizontally, in order to avoid exceeding the surface range of the brake pad 4, the additional blocks 12 of the exceeding part can be disassembled from the adjacent additional blocks 12, and then moved to a non-horizontal movement direction. For example, when the reinforcement trunk 11 moves to the right, the additional block 12 at the far right can be removed and moved to the middle to prevent it from exceeding the surface of the brake pad 4. At the same time, an additional block 12 can be installed at the far left to fill the surface area of the brake pad 4 vacated due to the rightward movement of the reinforcement trunk 11.
[0025] One side of the additional block 12 is fixedly connected to both sides of the reinforced trunk 11 with a T-shaped joint 13, and the other side of the additional block 12 is provided with a T-shaped docking groove 27 for the T-shaped joint 13 to slide. By setting the T-shaped joint 13 and the T-shaped docking groove 27 to slide, it is convenient to realize that when the reinforced trunk 11 moves horizontally, the additional block 12 can be automatically disassembled or installed by guiding the sliding direction of the additional block 12. This setting can make the additional block 12 automatically adjust its position according to the movement of the reinforced trunk 11 to achieve disassembly or installation.
[0026] A plurality of limit sleeves 14 are fixedly connected to the surface of the brake pad 4. The limit sleeves 14 are mainly used to guide the reinforcing rib assembly to move in the horizontal direction. The limit sleeves 14 can be used to limit the reinforcing trunk 11 and the additional block 12 in the horizontal movement direction from falling. Preferably, there are two limit sleeves 14, which are respectively distributed on both sides of the reinforcing trunk 11 to realize their own functions, and then are increased accordingly according to the number of reinforcing rib assemblies set.
[0027] The surface of the brake pad 4 is fixedly connected with the same number of guide sleeves 15 as the limit sleeve 14, that is, one limit sleeve 14 is correspondingly arranged with one guide sleeve 15. For example, the limit sleeve 14 located on the right side has a guide sleeve 15 on its right side, and the limit sleeve 14 located on the left side has a guide sleeve 15 on its left side. The guide sleeve 15 is used to guide the additional block 12 to move in a path that deviates from the horizontal moving direction of the reinforcing rib assembly to realize the removal of the additional block 12. For example, taking the guide sleeve 15 located on the right side as an example, the right side wall of the guide sleeve 15 The surface is an inclined slope. When the additional block 12 at the far right moves to the right and enters the guide sleeve 15, when its right top edge contacts the inclined slope, the additional block 12 continues to move to the right and is guided by the inclined surface of the guide sleeve 15 and moves along the inclined surface, so that the additional block 12 moves obliquely and is guided by the guide sleeve 15 to gradually move toward the middle. The additional block 12 will be misaligned with the adjacent additional block 12, and the degree of misalignment will become larger and larger until it is separated from the adjacent additional block 12. The guide sleeve 15 on the left is set according to this function.
[0028] A plurality of storage covers 17 are fixedly connected to the surface of the brake pad 4. The storage covers 17 are used to prevent the removed additional blocks 12 from falling, that is, the removed additional blocks 12 will be guided into the storage covers 17. Preferably, there are two storage covers 17, which are used to store the additional blocks 12 removed from the left side or the right side respectively. Correspondingly, a limiting groove 26 for the T-shaped connector 13 to slide is formed on the surface of the storage housing 17 .
[0029] A transition sleeve 16 is provided between each guide sleeve 15 and the storage sleeve 17, and the transition sleeve 16 is fixedly connected to the brake pad 4. The opening at one end of the transition sleeve 16 is aligned with the opening at one end of the storage sleeve 17, and the opening at the other end of the transition sleeve 16 is aligned with the opening at one end of the guide sleeve 15. A pushing assembly is installed on the surface of the transition sleeve 16, and the pushing assembly is used to push the additional block 12 located in the transition sleeve 16 to the opening of the storage sleeve 17, so that the additional block 12 can freely enter and exit the storage sleeve 17. Taking the transition sleeve 16 located on the right side as an example, when the additional block 12 is guided by the guide sleeve 15 to move toward the middle, it will first enter the transition sleeve 16, and then be pushed to the opening of the storage sleeve 17 by the pushing assembly on the transition sleeve 16. At this time, the additional block 12 can be moved back into the storage sleeve 17, and can be moved and installed on the reinforcement rib assembly when the T-shaped docking groove 27 is aligned with the T-shaped joint 13.
[0030] The height of the transition sleeve 16 is greater than the height of the additional block 12, ensuring that the transition sleeve 16 can accommodate an entire additional block 12, so that the additional block 12 can be separated and disassembled from adjacent additional blocks 12. The width of the transition sleeve 16 is less than the width of two additional blocks 12, ensuring that only one additional block 12 can be accommodated in the transition sleeve 16. In this way, in the process of moving the additional block 12 from the guide sleeve 15 to the transition sleeve 16, the additional block 12 in the original transition sleeve 16 will be squeezed into the storage sleeve 17 to avoid jamming.
[0031] The push assembly includes a first fixed block 20, a second spring 21, a force block 22 and a linkage block 23. The first fixed block 20 is fixedly connected to the surface of the brake pad 4, the linkage block 23 and the force block 22 are fixedly connected, and the second spring 21 is fixedly connected between the first fixed block 20 and the force block 22. The linkage block 23 has a section placed in the guide sleeve 15, so that when the reinforcing rib assembly moves to the right, a part of the linkage block 23 is connected to the reinforcing rib assembly and is pushed to the right by it. At this time, the second spring 21 will be compressed. When the additional block 12 at the far right is separated from the adjacent additional block 12, the separated additional block 12 is automatically pushed to align with the opening of the storage sleeve 17 under the elastic force of the second spring 21. In this way, the movement of the reinforcing rib assembly is used as a trigger mechanism. When the additional block 12 at the far right is separated from the adjacent additional block 12, the separated additional block 12 is automatically pushed to align with the opening of the storage sleeve 17 with the help of the elastic force of the second spring 21, which is conducive to reducing the power energy setting.
[0032] Correspondingly, the surfaces of the guide sleeve 15 and the transition sleeve 16 are both provided with a first avoidance groove 24 for horizontal sliding of the linkage block 23 , and the surface of the transition sleeve 16 is provided with a second avoidance groove 25 for horizontal movement of the force-bearing block 22 .
[0033] The inner wall of each storage shell 17 is fixedly connected to a support plate 18, and the surface of the support plate 18 is fixedly connected to a first spring 19, and the first spring 19 has elastic potential energy, which is used to provide a thrust to the additional block 12. The elastic potential energy of the first spring 19 is explained, that is, the first spring 19 is always in an elastic deformation state in the entire device, so as to always provide a thrust to the additional block 12 located above it. Through such an arrangement, when the T-shaped docking groove 27 on the surface of the additional block 12 above the first spring 19 is aligned with the T-shaped joint 13 on the surface of the additional block 12 at the rightmost end of the reinforcement rib assembly, the elastic force of the first spring 19 will push the T-shaped joint 13 to slide into the T-shaped docking groove 27, so that the additional block 12 above the first spring 19 is installed and connected to the reinforcement rib assembly.
[0034] The specific scheme is as follows: when the vehicle brakes, multiple piston assemblies work together to push the brake pad 4 to contact the brake disc to generate braking force. Since the piston movement may be uneven, the reinforcing rib assembly plays a key role at this time. The reinforcing rib assembly enhances the strength of the brake pad 4. If the position of the reinforcing rib assembly needs to be adjusted, the part that originally contacts the high stress can be moved away to reduce the strength of the part and let it rest. By moving the regulating block 8 horizontally along the track of the slide rail 9, the movement of the regulating block 8 will drive the reinforcing rib assembly to move horizontally synchronously. Taking the movement to the right as an example, the additional block 12 at the far right will enter the guide sleeve 15 during the movement. Then, after the top edge of the right side of the additional block 12 contacts the inclined surface, its continued rightward movement will be guided by the guide sleeve 15 to move obliquely along the inclined surface, that is, the additional block 12 will move into the transition sleeve 16, and at the same time will push the linkage block 23 to move right, and compress the second spring 21 until it is in contact with the guide sleeve 15. The adjacent additional blocks 12 are separated and offset, and the separated additional blocks 12 enter the transition sleeve 16. Since the height of the transition sleeve 16 is greater than the additional blocks 12 and the width is less than the two additional blocks 12, the additional blocks 12 in the original transition sleeve 16 are squeezed into the storage sleeve 17. At the same time, the elastic force of the second spring 21 pushes the separated additional blocks 12 to align with the opening of the storage sleeve 17. If the additional block 12 is to be installed, the additional block 12 located above it is provided with thrust under the action of the elastic potential energy of the first spring 19. When the T-shaped docking groove 27 on the surface of the additional block 12 is aligned with the T-shaped joint 13 on the surface of the additional block 12 at the rightmost end of the reinforcement rib assembly, the T-shaped joint 13 slides into the T-shaped docking groove 27 under the push of the elastic force of the first spring 19, and the additional block 12 is installed and connected to the reinforcement rib assembly. This cycle is repeated, and the additional block 12 is continuously disassembled and installed according to the movement requirements of the reinforcement rib assembly.
[0035] Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that various changes, modifications, substitutions and variations may be made to the embodiments without departing from the principles and spirit of the present invention, and that the scope of the present invention is defined by the appended claims and their equivalents.
Claims
1. A deformation-resistant brake caliper assembly, comprising a caliper housing (1) and a brake pad (4), characterized in that: A reinforcing rib assembly is mounted on the back of the brake pad (4), a butt sleeve (10) is fixedly connected to the surface of the reinforcing rib assembly, a positioning piece (5) is mounted on the surface of the caliper housing (1), a horizontally movable regulating block (8) is connected to the surface of the positioning piece (5), and the butt sleeve (10) is slidably sleeved on the surface of the regulating block (8).
2. The anti-deformation brake caliper assembly according to claim 1, characterized in that: The reinforcing rib assembly comprises a reinforcing trunk (11) and a plurality of additional blocks (12), wherein the additional blocks (12) are distributed on both sides of the reinforcing trunk (11), the plurality of additional blocks (12) are detachably connected to each other in sequence, and the additional blocks (12) connected to both ends of the reinforcing trunk (11) are detachably connected to the reinforcing trunk (11).
3. The anti-deformation brake caliper assembly according to claim 2, characterized in that: One side of the additional block (12) and both sides of the reinforcing trunk (11) are fixedly connected with a T-shaped joint (13), and the other side of the additional block (12) is provided with a T-shaped docking groove (27) for the T-shaped joint (13) to slide.
4. The anti-deformation brake caliper assembly according to claim 3, characterized in that: A plurality of limiting sleeves (14) are fixedly connected to the surface of the brake pad (4), and the limiting sleeves (14) are mainly used to guide the reinforcing rib assembly to move in a horizontal direction.
5. The anti-deformation brake caliper assembly according to claim 4, characterized in that: The surface of the brake pad (4) is fixedly connected with guide sleeves (15) having the same number as the limiting sleeves (14), and the guide sleeves (15) are used to guide the additional block (12) to move in a path deviating from the horizontal movement direction of the reinforcing rib assembly.
6. The anti-deformation brake caliper assembly according to claim 5, characterized in that: A plurality of storage sleeves (17) are fixedly connected to the surface of the brake pad (4), and the storage sleeves (17) are used to prevent the disassembled additional blocks (12) from falling off.
7. The anti-deformation brake caliper assembly according to claim 6, characterized in that: A transition sleeve (16) is provided between each of the guide sleeves (15) and the storage sleeve (17); the transition sleeve (16) and the brake pad (4) are fixedly connected; an opening at one end of the transition sleeve (16) is aligned with an opening at one end of the storage sleeve (17); and an opening at the other end of the transition sleeve (16) is aligned with an opening at one end of the guide sleeve (15); a push assembly is installed on the surface of the transition sleeve (16); the push assembly is used to push the additional block (12) located in the transition sleeve (16) to the opening of the storage sleeve (17).
8. The anti-deformation brake caliper assembly according to claim 7, characterized in that: The height of the transition casing (16) is greater than the height of the additional block (12), and the width of the transition casing (16) is less than the width of the two additional blocks (12).
9. The anti-deformation brake caliper assembly according to claim 8, characterized in that: The inner wall of each storage casing (17) is fixedly connected to a support plate (18), and the surface of the support plate (18) is fixedly connected to a first spring (19), wherein the first spring (19) has elastic potential energy.
Citation Information
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