A cable routing design analysis method
By analyzing the curvature and tension changes during cable transport, and combining the design of the tensioner, rotating frame, and turntable, the cable force path was optimized, solving the problem of unstable cable force under varying height differences, and improving the safety and efficiency of cable transport.
Patent Information
- Application Number
- CN202311528946.0
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2023-11-16
- Publication Date
- 2025-11-18
- Estimated Expiration
- 2043-11-16
AI Technical Summary
During cable transportation, the height difference between the cable's transmitting and receiving ends changes with the tides, causing unstable stress on the cable and making it easy to exceed its limits, leading to cable damage.
By analyzing the curvature and tension changes during cable transport, and combining the design of tensioners, rotating frames, and turntables, the force path of the cable is optimized. The motion state of the cable is calculated using the lumped mass method and the catenary equation to prevent the cable from exceeding its limits in critical areas.
It improves the safety and efficiency of cable transportation, reduces the risk of cable damage, and enables key areas to be monitored and adjusted.
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Figure CN117342349B_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of large-scale cable transportation, and specifically relates to a cable transportation design and analysis method. Background Technology
[0002] In the transportation of large cables, it is common to encounter situations where cables are transported from land to ships, or between ships. In such transport, considering the volume, weight, and safety factors of the cables, they are often transported by traction rather than by direct, integrated suspension. During traction transport, the horizontal height difference between the cable's delivery and receiving ends constantly changes with the tides. This results in the cable experiencing fluctuating stresses during transport, sometimes under tension and sometimes under compression. Therefore, cable design must consider not only the cable's operational parameters but also its transport parameters, such as maximum tension and minimum bending radius, to prevent damage during transport. Summary of the Invention
[0003] To address the aforementioned shortcomings, this invention proposes a cable transport design and analysis method that analyzes the stress and curvature of the cable in each region during transport based on the height difference between the cable's transport and receiving ends. This method aims to prevent the cable from exceeding its limits during transport.
[0004] The technical solution adopted by this invention to solve the above problems is as follows: a cable conveying design and analysis method, including a cable conveying end, a gantry crane, and a cable receiving end. The bottom of the gantry crane is fixedly connected to the cable conveying end, and the upper end of the gantry crane includes a rotating frame, which is rotatably connected to the bottom of the gantry crane. The cable receiving end is located below the rotating frame. The cable starts from the cable conveying end, passes through the rotating frame, and is conveyed to the cable receiving end. The horizontal plane where the cable conveying end is located and the horizontal plane where the cable receiving end is located fluctuate up and down due to the influence of tides. Based on the change in the height difference between the cable conveying end and the cable receiving end, the curvature and tension changes of the cable from the cable conveying end to the rotating frame, the curvature and tension changes of the cable on the rotating frame, and the curvature and tension changes of the cable from the rotating frame to the cable receiving end are calculated and analyzed.
[0005] Compared with existing technologies, the advantages of this invention are as follows: During cable transport, the main influencing areas of the cable are summarized, including the cable transport end, cable receiving end, and rotating frame, reducing the impact analysis of scattered auxiliary structures on the cable transport process, thereby reducing analysis difficulty and improving analysis efficiency; basic physical information of the cable is collected, including diameter, total length, tension, bending capacity, bending stiffness, axial stiffness, torsional stiffness, and weight of unsupported areas; positional structural information of the cable transport end and the gantry crane is collected to determine the connection structure between the cable transport end and the gantry crane for cable transport; positional structural information of the cable receiving end and the rotating frame is collected to determine the connection structure between the cable receiving end and the rotating frame for cable transport; environmental information is collected, including seawater currents on the cable transport end and the cable receiving end. The load and tidal level of the seawater are used to determine the range of height difference variation between the cable delivery end and the cable receiving end. Based on the above information, the curvature and tension changes of the cable from the cable delivery end to the rotating frame, the cable on the rotating frame, and from the rotating frame to the cable receiving end are calculated and analyzed. This allows us to determine which areas of the cable are more likely to exceed the bending limit, tensile limit, compressive limit, and torsional limit due to the height difference variation between the cable delivery end and the cable receiving end during the delivery process. In subsequent cable delivery, we focus on monitoring areas that are prone to damage to avoid situations where the height difference between the cable delivery end and the cable receiving end is too large, or we need to adjust the cable delivery method to ensure the safety of cable delivery.
[0006] As an improvement, a tensioner for moving the cable is also included. The influence of the tensioner's location on the cable at the cable delivery end, the cable on the rotating frame, and the cable receiving end is analyzed. With this improvement, since the tensioner is used to transport the cable, the cable located near the cable delivery end of the tensioner is subjected to the tensioner's traction transport effect, and the force analysis of the cable mainly focuses on the axial tension limit. The cable located near the cable receiving end of the tensioner is subjected to the tensioner's pushing transport effect, and the force analysis of the cable mainly focuses on the curvature limit. When the cable transport is not smooth, there is a risk that the cable may accumulate at the cable receiving end, and the cable may bend significantly, which greatly affects the subsequent use quality of the cable.
[0007] As an improvement, the cable receiving end is equipped with a turntable. The cable receiving end receives the cable through the turntable. The curvature and tension changes of the cable during reception are calculated and analyzed based on the inner and outer rings of the turntable. Through this improvement, the turntable is designed to receive the cable. The cable is wound around the turntable by rotation, thereby achieving centralized collection of the cable at the cable receiving end. Because the radius of the cable wound on the turntable increases due to the collection by the turntable, the collection state of the cable changes, especially the change in the connection point between the cable and the turntable. It is necessary to analyze the changes in the curvature and tension of the cable when it is wound around the inner ring of the turntable with the change in the height difference between the cable conveying end and the cable receiving end. It is also necessary to analyze the changes in the curvature and tension of the cable when it is wound around the outer ring of the turntable with the change in the height difference between the cable conveying end and the cable receiving end. After analyzing the two extreme positions, it is easy to summarize the cable pattern and take timely measures to avoid cable damage during transportation.
[0008] As an improvement, the tensioner is located upstream of the turntable's conveying mechanism. The tensile and compressive forces between the tensioner and the turntable are analyzed. Through this improvement, the cable between the tensioner and the turntable becomes variable due to the traction effect of the turntable's rotation. When the tensioner's conveying speed equals the turntable's receiving speed, the cable is in a stable conveying state. When the tensioner's conveying speed exceeds the turntable's receiving speed, the axial pressure on the cable increases, and the cable may accumulate, resulting in significant bending and affecting its subsequent performance. When the tensioner's conveying speed is less than the turntable's receiving speed, the axial tension of the cable increases, requiring analysis to determine if it exceeds the cable's tension limit to prevent cable damage.
[0009] As an improvement, the cable has a first curved section at the end of the rotating frame near the cable conveying end, and a second curved section at the end of the rotating frame near the cable receiving end. When the tensioner is located between the first and second curved sections, the curvature and tension changes of the first and second curved sections are analyzed. When the tensioner is located upstream of the first curved section, the curvature and tension changes of the first and second curved sections are analyzed. Through this improvement, the influence of different tensioner installation positions on the first and second curved sections is analyzed, and a suitable installation position for the tensioner is selected based on the effect.
[0010] As an improvement, an inclined steel beam is provided between the cable conveying end and the rotating frame. The steel beam is used to reduce the bending amplitude between the cable conveying end and the rotating frame. The end of the steel beam closer to the rotating frame has a third bending section, and the end of the steel beam farther from the rotating frame has a fourth bending section. Through this improvement, the bending amplitude of the steel beam can be reduced by the design of the steel beam, making the cable conveying process smoother. The original bending section is decomposed into a third bending section and a fourth bending section with larger bending radii, which better prevents the cable from exceeding the bending limit during the conveying process.
[0011] As an improvement, the tensioner is located between the steel beam and the rotating frame. The curvature and tension changes of the third and fourth bending sections are analyzed. With this improvement, the tensioner is located between the steel beam and the rotating frame. The tensioner plays a traction role on the cable on the steel beam. During the tensioning process, the angle between the third and fourth bending sections will only widen, making the bending radius of the cable larger. There is no need to worry about the bending radius of the cable being smaller.
[0012] As an improvement, the tensioner is located on the side of the steel beam away from the rotating frame. The curvature and tension changes of the third and fourth bending sections are analyzed. With this improvement, the tensioner is located on the side of the steel beam away from the rotating frame. This tensioner plays a role in pushing and conveying the cable on the steel beam. The third and fourth bending sections will be subjected to a squeezing effect. The analysis is conducted to see if the third and fourth bending sections will exceed the bending limit of the cable, so as to avoid damage to the cable during the conveying process.
[0013] As an improvement, the dynamic response of the cable is calculated using the lumped mass method. This method divides the cable into multiple elements, with the mass and force of each element evenly distributed across two element nodes. The nodes are connected by simulated massless springs. The axial stiffness, bending stiffness, and material damping parameters of the cable are satisfied using the stiffness and damping properties of the springs. The lumped mass method treats the loads on the elements as equivalent to nodal loads, and the following equation of motion is established for each node:
[0014] ,
[0015] In the formula, The node quality matrix; The damping coefficient matrix at the node; This is the stiffness matrix, including axial stiffness and bending stiffness. The effect of torsional stiffness is neglected in this study. By substituting the external force into the boundary conditions, the displacement X of each element of the cable can be solved, thereby obtaining the motion of each node. Through the aforementioned improvement, it can be determined whether the motion data of each node will exceed the limits of the cable.
[0016] As an improvement, the cable is pulled by the turntable, and the cable is arranged linearly as a catenary between the rotating frame and the turntable. The detailed distribution of the cable between the rotating frame and the turntable is obtained using the catenary equation, and the receiving state of the cable is determined using the obtained equation. The catenary equation is as follows:
[0017] ,
[0018] In the formula: the position where the cable leaves the rotating frame is taken as the side zero point, the sea level is the initial height value of 0, H is the distance of the point on the cable track from the sea level; t is the horizontal distance of the point on the cable track from the side zero point; A, B, and C are constants, whose values are calculated by the catenary equation using the measurement values t of 3 waypoints. The average value of A, B, and C obtained from multiple sets of data is not taken simultaneously. A determines the opening direction and size of the catenary, B determines the offset distance, A and C together determine the distance from the sea level, and the three together determine the shape of the catenary. Through the above improvement, after determining the catenary equation, it is convenient to calculate and analyze the motion of the cable nodes on the catenary. Attached Figure Description
[0019] Figure 1 This is a schematic diagram of the application structure of the present invention.
[0020] Figure 2 This is a schematic diagram of the cable trajectory structure applied in this invention.
[0021] Figure 3 This is a schematic diagram of the analytical framework of the present invention.
[0022] Figure 4 This is a schematic diagram of the cable curvature distribution of the present invention.
[0023] Figure 5 This is a schematic diagram of the cable tension distribution of the present invention.
[0024] The diagram shows: 1. Dock, 2. Gantry crane, 2.1. Rotating frame, 3. Ship, 3.1. Turntable, 5. First tensioner, 6. Second tensioner, 7. Steel beam, 8. First bending section, 9. Second bending section, 10. Third bending section, 11. Fourth bending section, 12. Suspension section. Detailed Implementation
[0025] The embodiments of the present invention will be further described below with reference to the accompanying drawings.
[0026] like Figure 1-2As shown, a cable conveying design and analysis method includes a cable conveying end, a gantry crane 2, and a cable receiving end. The bottom of the gantry crane 2 is fixedly connected to the cable conveying end, which is a dock 1, and the cable receiving end is a ship 3. The upper end of the gantry crane 2 includes a rotating frame 2.1, which is rotatably connected to the bottom of the gantry crane 2. The cable receiving end is located below the rotating frame 2.1. The cable starts from the cable conveying end, passes through the rotating frame 2.1, and is conveyed to the cable receiving end. The horizontal plane where the cable conveying end is located and the horizontal plane where the cable receiving end is located fluctuate up and down due to the influence of sea waves. Based on the change in the height difference between the cable conveying end and the cable receiving end, the curvature and tension changes of the cable from the cable conveying end to the rotating frame 2.1, the curvature and tension changes of the cable on the rotating frame 2.1, and the curvature and tension changes of the cable from the rotating frame 2.1 to the cable receiving end are calculated and analyzed.
[0027] An inclined steel beam 7 is also provided between the cable conveying end and the rotating frame 2.1. The steel beam 7 is used to reduce the bending amplitude between the cable conveying end and the rotating frame 2.1. A second tensioner 6 is provided on the dock 1. The second tensioner 6 is located on the side of the steel beam 7 away from the rotating frame 2.1. A first tensioner 5 is provided on the gantry crane 2. The first tensioner 5 is located between the steel beam 7 and the rotating frame 2.1.
[0028] A turntable 3.1 is provided at the cable receiving end, and the cable receiving end receives the cable through the turntable 3.1.
[0029] The cable starts from dock 1, passes through the second tensioner 6, steel beam 7, first tensioner 5, rotating frame 2.1, turntable 3.1 in sequence, and is then housed on ship 3.
[0030] like Figure 3 As shown, the analysis objects are limited to three items: dock 1, ship 3, and cable. Orcaflex professional software is used to simulate and analyze the cable, with the parameters shown in Table 1 being used for the cable.
[0031] Table 1 Cable Parameters
[0032]
[0033] like Figure 2 As shown, based on the positions of the dock 1, gantry crane 2, and ship 3, the steel beam 7, the first tensioner 5, and the second tensioner 6 are installed. When the distance between the turntable 3.1 on the ship 3 and the dock 1 is less than the length of the rotating frame 2.1, the turntable 3.1 can be positioned directly below the cable outlet end of the rotating frame 2.1 by rotating the rotating frame 2.1 and shifting the ship 3 forward or backward. At the same time, based on the berth information of the ship 3 and environmental factors, the analysis of the cable stress change is added.
[0034] Along the cable route, the cable is divided into straight and curved sections. The dynamic response of the cable in each region is calculated using the lumped mass method. The lumped mass method divides the cable into multiple elements, with the mass and force of each element evenly distributed across two element nodes. The nodes are connected by simulated massless springs. The axial stiffness, bending stiffness, and material damping parameters of the cable are satisfied by the stiffness and damping properties of the springs. The lumped mass method treats the loads on the elements as equivalent to nodal loads, and the following equation of motion is established for each node:
[0035] ,
[0036] In the formula, The node quality matrix; The damping coefficient matrix at the node; This is the stiffness matrix, including axial stiffness and bending stiffness. The effect of torsional stiffness is neglected in this study. By substituting the external forces acting on the cable into the boundary conditions, the displacement X of each element in the cable can be solved, thereby obtaining the motion of each node. Let X be the first derivative of displacement X, which is the velocity of displacement X. Let X be the second derivative of displacement X, which is the acceleration of displacement X. This formula is the conventional formula for spring node motion.
[0037] like Figure 4 , Figure 5 As shown, under normal operating conditions of the first tensioner 5, the second tensioner 6, and the turntable 3.1, the cable distribution process includes straight sections and curved sections. The curved sections include the first curved section 8, the second curved section 9, the third curved section 10, the fourth curved section 11, and the catenary section 12. Specifically, P1 is the fourth curved section 11, P2 is the third curved section 10, P3 is the first curved section 8, P4 is the second curved section 9, and P5 is the catenary section 12.
[0038] like Figure 4 As shown, the design of steel beam 7 reduces the curvature of the third bending section 10, making it similar to that of the first bending section 8 and the second bending section 9. During use, except for the fourth bending section 11 and the catenary section 12 which exhibit significant curvature changes, the first bending section 8, the second bending section 9, and the third bending section 10 show no obvious curvature changes. Furthermore, the maximum curvature of the fourth bending section 11 and the catenary section 12 does not exceed that of the third bending section 10. This ensures that as the ship 3 moves up and down, the cable is compressed or stretched, yet still maintains its normal operating curvature, preventing damage due to excessive bending. The straight sections, supported by steel beam 7 and the rotating frame 2.1, do not experience curvature changes, so there is no need to consider cable damage due to bending in the straight sections.
[0039] like Figure 5 As shown, because the cable is constantly being tractioned and transported by the first tensioner 5, the second tensioner 6, and the turntable 3.1, even when the vessel 3 floats upwards, the cable remains under tension, albeit with a lower tension. However, when the vessel 3 floats downwards, the cable tension increases significantly, especially between the first bending section 8 and the third bending section 10, where a noticeable change occurs. Simultaneously, the tension between the first bending section 8 and the second bending section 9 reaches the cable's bending tension limit, posing a risk of cable damage. Therefore, the process of the vessel 3 buoyant downwards during normal use is a crucial aspect of cable transport that requires close monitoring.
[0040] In addition to the basic operating conditions described above, there is also the most complex cable operating condition during turntable 3.1 reception. This involves considering the inner and outer rings of the turntable 3.1 during reception, the submersion and ascent of the ship 3, and the cable winding height on the turntable 3.1. Under different operating conditions, the curve equation of the catenary segment 12 will also be different. The cable is pulled by the turntable 3.1, and the cable is arranged linearly in a catenary configuration between the rotating frame 2.1 and the turntable 3.1. The detailed distribution of the cable between the rotating frame 2.1 and the turntable 3.1 is obtained using the catenary equation, and the cable reception status is determined using the obtained equation. The catenary equation is:
[0041] ,
[0042] In the formula: the position where the cable leaves the rotating frame 2.1 is taken as the side zero point, the sea level is the initial height value of 0, H is the distance of the point on the cable track from the sea level; t is the horizontal distance of the point on the cable track from the side zero point; A, B, and C are constants, whose values are calculated by the catenary equation through the measurement value t of 3 waypoints. The average value of A, B, and C obtained from multiple sets of data is not taken at the same time. A determines the opening direction and size of the catenary, B determines the offset distance, A and C together determine the distance from the sea level, and the three together determine the shape of the catenary. In the extreme case, the tension limit state is when the ship 3 floats down and the cable is wrapped around the lower end of the turntable 3.1, while the bending limit state is when the ship 3 floats up and the cable is wrapped around the upper end of the turntable 3.1. The cable parameters of the catenary segment 12 are obtained as shown in Tables 2 and 3.
[0043] Table 2 Cable Storage Conditions
[0044]
[0045] Table 3 Cable catenary segment 12 storage parameters
[0046]
[0047] Of the four operating conditions mentioned above, only condition 1 involves exceeding the maximum tension limit. The other conditions are all within the normal transmission parameters of the cable. Therefore, it is necessary to focus on the working state of the cable under condition 1.
[0048] Simultaneously, during cable transportation, it is necessary to consider the impact of malfunctions on the cable to facilitate timely remediation. Simulated transportation was conducted at a speed of 5 m / min. Curvature and tension changes were analyzed for malfunctions at turntable 3.1 and the first tensioner 5. Since the impact of the second tensioner 6 malfunction is only felt through the first tensioner 5 before affecting cable reception, its influence is ignored.
[0049] When turntable 3.1 malfunctions, the first tensioner 5 continues to feed, causing the cable to accumulate at turntable 3.1. This results in the cable bending, exceeding its bending limit (curvature greater than 0.5 m). -1 The calculated cable failure response time is shown in Table 4.
[0050] Table 4. Cable failure time under turntable 3.1 fault
[0051]
[0052] As shown in Table 4, to avoid cable damage caused by a malfunction of turntable 3.1, the best course of action is to close the first tensioner 5 within 52 seconds to stop the cable delivery process.
[0053] When the first tensioner 5 fails, the turntable 3.1 continues to receive signals, which causes the cable to tighten and the cable to become abnormal. The cable failure response time is calculated as shown in Table 5.
[0054] Table 5 Cable Failure Time under Tensioner Failure
[0055]
[0056] As shown in Table 5, if the cable is housed in the inner ring of the turntable 3.1 in the event of a malfunction of the first tensioner 5, the cable will bend against the frame of the turntable 3.1, exceeding the cable bending limit and causing cable damage. If the cable is housed in the outer ring of the turntable 3.1, the cable will be stretched beyond the cable tension limit, also causing cable damage. To avoid cable damage due to a malfunction of the first tensioner 5, the best course of action is to close the turntable 3.1 within 36 seconds to stop the cable receiving process.
[0057] In summary, if a cable transport malfunction occurs, the best solution is to first shut down turntable 3.1 within 36 seconds, and then shut down the first tensioner 5, in order to better ensure the safety of cable transport.
[0058] When observing abnormalities in the conveying process, the condition of the cable receiving device on turntable 3.1 can be used for judgment. For example, if the discharge end of rotating frame 2.1 is located at the 9 o'clock position of turntable 3.1, and turntable 3.1 collects the cable clockwise, during normal cable conveying, the cable should be collected tangentially with turntable 3.1, that is, the position where the cable touches turntable 3.1 should be between 9 o'clock and 12 o'clock. When the position where the cable touches turntable 3.1 is at the 9 o'clock position, it indicates that turntable 3.1 is faulty. When the position where the cable touches turntable 3.1 is after the 1 o'clock position, it indicates that the first tensioner 5 is faulty.
[0059] If the first tensioner 5 is placed between the first bending section 8 and the second bending section 9, that is, if the first tensioner 5 needs to be placed on the rotating frame 2.1, the rotational load of the rotating frame 2.1 will increase significantly and there will be a greater safety hazard.
[0060] The cable delivery end and cable receiving end include not only the delivery relationship between the dock 1 and the ship 3, but also the delivery relationship between the ship 3 laying the cable at sea and the transport ship 3.
[0061] Through the above analysis of cable conveying design, we can summarize the conditions under which the cable is most susceptible to damage when the height difference between the cable conveying end and the cable receiving end is constantly changing during the cable conveying process. We can also determine the optimal solution and observation methods. With the development of mechanical automation, automated cable conveying processes now have better judgment criteria and clearer automated calculation methods.
[0062] The above description only illustrates the preferred embodiments of the present invention and should not be construed as limiting the scope of the claims. The present invention is not limited to the above embodiments, and variations in its specific structure are permitted. All variations made within the scope of the independent claims of this invention are also within the scope of protection of this invention.
Claims
1. A cable transmission design and analysis method, characterized in that, The system includes a cable delivery end, a gantry crane (2), and a cable receiving end. The bottom of the gantry crane (2) is fixedly connected to the cable delivery end. The upper end of the gantry crane (2) includes a rotating frame (2.1), which is rotatably connected to the bottom of the gantry crane (2). The cable receiving end is located on the rotating frame. Below 2.1), the cable starts from the cable delivery end, passes through the rotating frame (2.1), and is delivered to the cable receiving end. The horizontal plane where the cable delivery end is located and the horizontal plane where the cable receiving end is located fluctuate up and down due to the influence of tides. Based on the change in height difference between the cable delivery end and the cable receiving end, the curvature and tension changes of the cable from the cable delivery end to the rotating frame (2.1), the curvature and tension changes of the cable on the rotating frame (2.1), and the curvature and tension changes of the cable from the rotating frame (2.1) to the cable receiving end are calculated and analyzed. It also includes a tensioner for moving the cable. The influence of the tensioner being set at different positions on the force on the cable at the cable delivery end, the cable on the rotating frame (2.1), and the cable at the cable receiving end is analyzed. The cable receiving end is equipped with a turntable ( 3.1) The cable receiving end receives the cable through a turntable (3.1). The curvature and tension changes of the cable during reception are calculated and analyzed based on the inner ring of the turntable (3.1) and the outer ring of the turntable (3.1). The cable has a first bending section (8) at the end of the rotating frame (2.1) near the cable conveying end, and a second bending section (9) at the end of the rotating frame (2.1) near the cable receiving end. When the tensioner is located at the first bending section (8) and the second bending section (9), the cable is further bent. Between the two curved sections (9), the curvature and tension changes of the first curved section (8) and the second curved section (9) are analyzed; when the tensioner is located upstream of the first curved section (8), the curvature and tension changes of the first curved section (8) and the second curved section (9) are analyzed. The cable is pulled by the turntable (3.1), and the cable is arranged in a catenary linear configuration between the rotating frame (2.1) and the turntable (3.1). The catenary equation is used to derive the cable's position on the rotating frame (2.1). 2.1) and the detailed distribution of the turntable (3.1), and using the obtained equation to determine the receiving status of the cable, catenary equation: , In the formula: the position where the cable leaves the rotating frame (2.1) is taken as the side zero point, the sea level is the initial height value of 0, H is the distance of the point on the cable track from the sea level; t is the horizontal distance of the point on the cable track from the side zero point; A, B, and C are constants, whose values are calculated by the catenary equation through the measurement value t of 3 waypoints. The values of A, B, and C obtained from multiple sets of data are not taken simultaneously. A determines the opening direction and size of the catenary, B determines the offset distance, A and C together determine the distance from the sea level, and the three together determine the shape of the catenary.
2. The cable transmission design and analysis method according to claim 1, characterized in that: The tensioner is located upstream of the conveyor of the turntable (3.1). The tensile and compressive forces between the tensioner and the turntable (3.1) are analyzed.
3. The cable transmission design and analysis method according to claim 1, characterized in that: An inclined steel beam (7) is also provided between the cable delivery end and the rotating frame (2.1). The steel beam (7) is used to reduce the bending amplitude between the cable delivery end and the rotating frame (2.1). The end of the steel beam (7) near the rotating frame (2.1) is provided with a third bending section (10), and the end of the steel beam (7) away from the rotating frame (2.1) is provided with a fourth bending section (11).
4. The cable transmission design and analysis method according to claim 3, characterized in that: The tensioner is located between the steel beam (7) and the rotating frame (2.1). The curvature and tension changes of the third bending section (10) are analyzed, and the curvature and tension changes of the fourth bending section (11) are analyzed.
5. The cable transmission design and analysis method according to claim 4, characterized in that: The tensioner is located on the side of the steel beam (7) away from the rotating frame (2.1). The curvature and tension changes of the third bending section (10) are analyzed, and the curvature and tension changes of the fourth bending section (11) are analyzed.
6. The cable transmission design and analysis method according to claim 1, characterized in that: The dynamic response of the cable was calculated using the lumped mass method. This method divides the cable into multiple elements, with the mass and force of each element evenly distributed across two element nodes. The nodes are connected by simulated massless springs. The axial stiffness, bending stiffness, and material damping parameters of the cable are satisfied using the stiffness and damping properties of the springs. The lumped mass method treats the loads on the elements as equivalent to nodal loads, and the following equation of motion is established for each node: , In the formula, The node quality matrix; The damping coefficient matrix at the node; This is the stiffness matrix, including axial stiffness and bending stiffness. The effect of torsional stiffness is neglected in this study. By substituting the external force into the boundary conditions, the displacement X of each element of the cable can be solved, thereby obtaining the motion of each node.
Citation Information
Patent Citations
Electric traction mechanism for cable traction and cable connection system comprising same
CN217362388U