Coupling dynamic centering regulation method and system based on positive and negative heuristic response gradient
Patent Information
- Application Number
- CN202610944272.X
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2026-06-29
- Publication Date
- 2026-10-13
AI Technical Summary
现有方法难以根据运行振动响应直接确定对中修正方向和修正量,容易出现调整次数多、修正方向不明确以及几何对中与动态响应改善不一致的问题
[0142]本系统利用数据采集单元和处理单元,能够自动执行全流程调节,无需人工干预计算和决策,以硬件形式实现了该方法的工程化应用,便于工业现场部署与推广。
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Figure CN122903977A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of coupling technology and relates to a method and system for dynamic alignment adjustment of couplings based on positive and negative trial response gradients. Background Technology
[0002] Couplings are key connecting components in rotating machinery transmission systems, primarily used to transmit torque, compensate for shaft misalignment, buffer shocks, and improve system vibration transmission characteristics. In transmission systems composed of motors, couplings, and reducers, even if the nominal torque, allowable speed, and installation dimensions of the coupling meet the requirements, actual radial offset, angular misalignment, support deformation, and operating loads after installation can still cause significant vibration responses in the system.
[0003] Currently, coupling installation typically begins with geometric alignment using tools such as laser alignment instruments to ensure that the radial offset and angular misalignment between the two shafts meet given allowable ranges. This method can guarantee that the static geometric position of the shaft system basically meets the installation requirements. However, due to the combined effects of motor brackets, reducer supports, coupling flexibility, and operating loads, satisfactory geometric alignment in the shutdown state does not necessarily indicate minimal vibration response in the operating state.
[0004] In actual assembly, after the coupling is initially aligned, if the system still exhibits significant multi-point vibration response under set speed and load, it is usually necessary to repeatedly adjust the position of the motor or load equipment based on manual experience. Existing methods cannot directly determine the alignment correction direction and amount based on the operating vibration response, which easily leads to problems such as numerous adjustments, unclear correction direction, and inconsistency between geometric alignment and dynamic response improvement. Summary of the Invention
[0005] The purpose of this invention is to address the aforementioned problems in existing technologies by proposing a dynamic alignment adjustment method and system for couplings based on positive and negative trial response gradients.
[0006] To achieve the above objectives, the basic solution of this invention is: a dynamic alignment adjustment method for couplings based on positive and negative trial response gradients, comprising the following steps:
[0007] S1, Obtain the initial installation status and test parameters of the transmission system to be adjusted;
[0008] S2, establish a directed misalignment evaluation coordinate system, and set the initial state, positive and negative radial exploration state, and positive and negative angular exploration state;
[0009] S3, under set speed and set load, collects vibration signals and speed synchronization signals from multiple measuring points in the initial state and under various test states;
[0010] S4. Based on the rotational speed synchronization signal, construct the vibration response vector of multiple measurement points for each rotational speed phase synchronization, and calculate the dynamic response evaluation function;
[0011] S5. Calculate the radial response gradient and angular response gradient based on the dynamic response evaluation function under the positive and negative radial and angular trial states.
[0012] S6. Based on the radial response gradient and angular response gradient, determine the direction and amount of dynamic alignment correction for the coupling, and convert them into equipment support adjustment.
[0013] S7. Adjust the relative position of the shafts at both ends of the coupling according to the dynamic alignment correction amount, re-collect the vibration response at multiple measuring points and judge the adjustment effect.
[0014] S8. When the adjustment effect does not reach the preset dynamic response target, the corrected actual directional misalignment state is used as the new initial state, and steps S2-S7 are repeated until the dynamic response evaluation value reaches the preset dynamic response target.
[0015] The working principle and beneficial effects of this basic solution are as follows: This technical solution constructs positive and negative trial response gradients, solving the technical problem of traditional couplings where static alignment is acceptable but dynamic vibration exceeds limits, and relying on repeated trial and error based on human experience. It transforms subjective, geometrically position-based alignment adjustments into an objective, vibration response data-driven closed-loop optimization process, which can accurately determine the direction of dynamic alignment correction and quantitatively provide support adjustment amounts, thereby significantly reducing the number of adjustments required.
[0016] By introducing the concepts of positive and negative trial and gradient descent, the shortcomings of manual adjustment, such as unclear direction and difficulty in determining step size, are overcome. The vibration response can be effectively reduced on the first adjustment, ultimately ensuring that the vibration level of the transmission system under operating conditions reaches the preset optimal target, thereby improving the stability and reliability of equipment operation and increasing adjustment efficiency and success rate.
[0017] Furthermore, the transmission system to be adjusted includes a prime mover, a coupling, a load device, a prime mover support, and a load device support. The prime mover is an electric motor, and the load device is a reducer, a gearbox, or an equivalent load device.
[0018] The initial radial offset and initial angular skew between the two axes are measured using a laser alignment instrument, and the initial oriented misalignment state is represented as:
[0019] ,
[0020] Where u0 represents the initial directional misalignment state of the coupling; e0 represents the initial directional radial offset; and α0 represents the initial directional angular skew.
[0021] The test parameters include set rotational speed, set load, sampling frequency, sampling time, number of response channels, measurement point position, measurement direction, vibration response signal of measurement point, directional radial offset, directional angular deflection, and load data;
[0022] Multiple measuring points are arranged at at least two of the following locations: the prime mover side bearing housing, the coupling adjacent support, the load equipment input end bearing housing, the load equipment housing, and the support position. Each measuring point collects vibration signals in three directions: horizontal, vertical, and axial.
[0023] It provides high-precision quantitative input of the initial state and ensures the comprehensiveness and representativeness of vibration response information by specifying vibration acquisition points, thus laying the foundation for the accuracy of gradient calculation.
[0024] Furthermore, step S2, which establishes a directed misalignment evaluation coordinate system and sets the initial state, positive and negative radial trial states, and positive and negative angular trial states, is as follows:
[0025] Taking the ideal coaxial state of the prime mover output shaft and the load device input shaft as a reference, a vertical plane or a horizontal plane is selected as the evaluation plane, and the directional radial offset e and the directional angular skew α in the evaluation plane are defined.
[0026] The directional radial offset e is used to represent the direction and magnitude of the parallel offset of the two axes within the selected evaluation plane; the directional angular skew α is used to represent the direction and magnitude of the included angle between the two axes within the selected evaluation plane;
[0027] Using the initial directional misalignment state of the coupling as the reference state for positive and negative radial trial adjustments and positive and negative angular trial adjustments, while keeping the angular misalignment constant, small trial adjustments of the same or similar magnitude are applied in the positive and negative radial directions respectively to obtain the target state for the positive radial trial. and negative radial probe target state :
[0028] ,
[0029] ,
[0030] Where Δe is the radial trial adjustment amount; , The initial directional radial offset and initial directional angular skew are... Indicates vector transpose;
[0031] The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows:
[0032] ,
[0033] ,
[0034] in, , These are the actual measured directional angular deflection amounts under positive and negative radial probing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively.
[0035] To ensure that the angular deflection remains essentially constant during radial probing, the following must be satisfied:
[0036] ,
[0037] ,
[0038] Where, δ α This refers to the permissible angular deviation during radial probing.
[0039] While keeping the radial offset essentially constant, small-amplitude trial adjustments of equal or similar magnitude are applied in both the positive and negative angular directions to obtain the target state in the positive angular direction. and negative angle probe target state :
[0040] ,
[0041] ,
[0042] Where Δα is the angular trial adjustment amount;
[0043] The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows:
[0044] ,
[0045] ,
[0046] in, , These are the actual measured directional radial offsets under the positive and negative angular probing states, respectively. and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument;
[0047] To ensure that the radial offset remains essentially constant during the angular probing process, the following must be satisfied:
[0048]
[0049]
[0050] Where, δ e This represents the permissible radial offset deviation during the angular probing process;
[0051] Positive and negative test adjustments are achieved by adjusting the equipment support position, specifically:
[0052] Radial or angular probing in the vertical plane can be achieved by adjusting the vertical position of the prime mover or load equipment support.
[0053] Radial or angular probing within a horizontal plane can be achieved by adjusting the horizontal position of the prime mover or load equipment support.
[0054] By decoupling the complex spatial misalignment of the coupling into independent directed variables (radial and angular) in the evaluation plane, the key parameter of the response gradient can be calculated in a physically defined direction, ensuring the logical correctness and physical feasibility of the correction vector solution.
[0055] Furthermore, step S3 involves acquiring multi-point vibration signals and speed synchronization signals under set speed and set load conditions, both in the initial state and under various trial states, as follows:
[0056] In the initial state u0, the transmission system is run to the set speed and set load, and vibration signals and speed synchronization signals at multiple measurement points are collected. The speed synchronization signal uses key phase signal, encoder pulse signal or speed sensor output signal to determine the shaft phase corresponding to the vibration signal of each response channel.
[0057] In the positive radial test state u e+ Negative radial test state u e− Positive angular probing state u α+ and negative angular probing state u α− Repeatedly collect vibration signals and rotational speed synchronization signals from multiple measurement points;
[0058] Let the vibration signal of the k-th response channel in the s-th state be denoted as... ,in:
[0059] ,
[0060] ,
[0061] Where s is the state index, s=0 represents the initial state, s=e+ represents the positive radial probing state, s=e− represents the negative radial probing state, s=α+ represents the positive angular probing state, and s=α− represents the negative angular probing state; m is the total number of response channels, and k is the response channel number.
[0062] The response channels are determined by the location of the measuring points and the measurement direction. When p measuring points are set, and each measuring point collects vibration signals in d directions, the total number of response channels is:
[0063] .
[0064] Dynamic response evaluation is conducted under the "problem condition" of target operating speed and load, so that subsequent adjustment actions directly target the actual vibration problem under operating conditions, avoiding the limitations of static alignment or no-load adjustment.
[0065] Furthermore, step S4, based on the rotational speed synchronization signal, constructs a multi-point vibration response vector for each rotational speed phase synchronization and calculates the dynamic response evaluation function as follows:
[0066] Based on the rotational speed synchronization signal, the vibration signals of each response channel are converted from time coordinates to shaft phase coordinates to obtain the synchronization response per revolution of the k-th response channel in the s-th state. :
[0067] ,
[0068] Where θ is the phase of the rotation axis, θ∈[0,2π); T θ {·} represents the phase synchronization transformation operator based on the speed synchronization signal; This represents the time-domain vibration signal of the k-th response channel under the s-th state;
[0069] Synchronous averaging of the synchronization response for each revolution over multiple consecutive revolutions reduces the impact of random noise and asynchronous disturbances.
[0070] ,
[0071] Where, N c The number of rotation cycles participating in the synchronous average; The phase synchronization response during the nth rotation cycle; Let be the synchronous average response of the k-th response channel in the s-th state;
[0072] The synchronous average response of each response channel is combined into a multi-point synchronous response vector per revolution phase:
[0073] ,
[0074] in, Let be the phase synchronization multi-measurement point response vector per revolution in the s-th state; Let m be the synchronous average response of the m-th response channel;
[0075] A dynamic response evaluation function is constructed to characterize the comprehensive level of vibration response at multiple measurement points under the s-th state:
[0076] ,
[0077] Where, Φ (s) is the dynamic response evaluation value of the s-th state; W is the response channel weight matrix. When all response channels are equally important, W can be a unit weight matrix or a diagonal weight matrix.
[0078] In practical data processing, the dynamic response evaluation function is calculated in discrete form:
[0079] ,
[0080] Where, N θ θ is the number of phase sampling points within a single revolution cycle. j Let j be the j-th phase sampling point.
[0081] Phase synchronization averaging technology can effectively filter out asynchronous random noise and interference signals, and extract vibration components that are strongly correlated with the rotation frequency (the characteristic frequency of misalignment faults), making the dynamic response evaluation values used for decision-making purer, more stable and reliable.
[0082] Furthermore, step S5 calculates the radial response gradient and angular response gradient based on the dynamic response evaluation function under the positive and negative radial trial states and the positive and negative angular trial states, as follows:
[0083] Calculate the radial response gradient based on the dynamic response evaluation values under the positive and negative radial trial states:
[0084] ,
[0085] Among them, g e For radial response gradient; Φ (e+) and Φ (e−) These are the dynamic response evaluation values under positive radial testing and negative radial testing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively.
[0086] Among them, the positive and negative radial trial states satisfy: ;
[0087] Calculate the angular response gradient based on the dynamic response evaluation values under the positive and negative angular trial states:
[0088] ,
[0089] Among them, g α Φ is the angular response gradient; (α+) and Φ (α−) These are the dynamic response evaluation values under the positive angular exploration state and the negative angular exploration state, respectively; and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument;
[0090] Among them, the positive and negative angle trial states satisfy: ;
[0091] The direction of dynamic response descent is determined based on the radial and angular response gradients, specifically as follows:
[0092] When g e When the value is >0, it means that adjusting along the positive radial direction near the current state will increase the dynamic response, and it should be corrected along the negative radial direction.
[0093] When g e When <0, it means that adjusting along the positive radial direction will reduce the dynamic response, and it should be corrected along the positive radial direction;
[0094] When g α When the value is >0, it means that adjusting along the positive direction of the angle near the current state will increase the dynamic response, and it should be corrected along the negative direction of the angle.
[0095] When g α When the value is less than 0, it means that adjusting along the positive direction of the angle will reduce the dynamic response, and it should be corrected along the positive direction of the angle.
[0096] By determining the sign of the gradient, the adjustment direction corresponding to the decrease in vibration can be clearly identified, thus achieving a leap from trial and error to orientation.
[0097] Furthermore, step S6, which determines the direction and amount of dynamic alignment correction for the coupling based on the radial and angular response gradients and converts them into equipment support adjustment, specifically involves the following steps:
[0098] Based on the radial and angular response gradients, a dynamic centering correction vector is constructed:
[0099] ,
[0100] Where, Δu c Γ is the dynamic centering correction vector; Γ is the correction step size matrix;
[0101] Γ is taken as a diagonal matrix:
[0102] ,
[0103] Where, γ e γ is the radial correction step size factor. α This is the angular correction step size coefficient;
[0104] The dynamic alignment correction vector is represented as:
[0105]
[0106] Where, Δe c This is the radial correction amount; Δα c This is the angular correction amount;
[0107] The dynamic centering correction vector is limited based on the maximum permissible correction amount:
[0108] ,
[0109] ,
[0110] Where, Δe max and Δα max These are the maximum permissible radial correction and the maximum permissible angular correction for a single operation, respectively.
[0111] The corrected target state should satisfy the geometric safety boundary:
[0112] ,
[0113] ,
[0114] Among them, e min and e max α min and α max These are the permissible directional radial offset and directional angular skew boundaries for the transmission system or coupling, respectively.
[0115] Based on the equipment support adjustment relationship, the dynamic alignment correction vector is converted into a support adjustment amount in the vertical or horizontal direction, specifically as follows:
[0116] When using two support adjustment points (front and rear) for adjustment, let the distance between the two support adjustment points be L. s If the adjustment amount of the front support adjustment point is Δh1 and the adjustment amount of the rear support adjustment point is Δh2, then the following conditions are met:
[0117] ,
[0118] ,
[0119] Therefore, we can conclude that:
[0120] ,
[0121] ,
[0122] Calculate the recommended dynamic centering state:
[0123] ,
[0124] Among them, u c To recommend dynamic alignment states.
[0125] The equipment support adjustment value is obtained and directly mapped to the operable actuator (support adjustment point). At the same time, amplitude limiting and safety boundary constraints are introduced to ensure the safety of the adjustment process and provide specific adjustment data that can directly guide the operation of workers.
[0126] Furthermore, the specific method for step S7, which involves adjusting the relative positions of the shafts at both ends of the coupling according to the dynamic alignment correction amount, re-collecting the vibration response at multiple measuring points, and judging the adjustment effect, is as follows:
[0127] The actual radial offset and actual angular skew were measured using a laser alignment instrument to obtain the corrected directional misalignment state:
[0128] ,
[0129] in, This is the corrected actual directed misalignment state; This is the corrected actual directional radial offset. This is the corrected actual directional skewness.
[0130] Under set speed and load conditions, the corrected multi-point vibration signal and speed synchronization signal were reacquired, the corrected state was denoted as s=c, and the corrected dynamic response evaluation value was calculated:
[0131]
[0132] Where, Φ c The dynamic response evaluation value under the corrected state;
[0133] The effectiveness of the adjustment is judged based on the dynamic response evaluation values before and after the correction. The dynamic centering adjustment is considered effective when the following conditions are met:
[0134] ,
[0135] Where, Φ (0) The dynamic response evaluation value under the initial state; ρmin The preset minimum response reduction rate is used to determine whether the vibration response after dynamic alignment correction is effectively reduced relative to the initial state.
[0136] When the dynamic response target limit is met, it is determined that the current dynamic alignment state of the coupling has reached the preset response target:
[0137] ,
[0138] Where, Φ obj The preset dynamic response target limit is used to determine whether the corrected dynamic response evaluation value meets the coupling dynamic alignment adjustment target.
[0139] The adjustment process is given clear termination conditions and quantitative indicators for the effectiveness of adjustment are provided. This avoids over-adjustment and ensures that the final alignment state can objectively and quantitatively meet the preset dynamic performance requirements.
[0140] The present invention also provides a coupling dynamic alignment adjustment system based on positive and negative trial response gradients, including a data acquisition unit and a processing unit. The data acquisition unit is used to acquire the initial installation state and test parameters of the transmission system to be adjusted.
[0141] The input end of the processing unit is connected to the output end of the data acquisition unit. The processing unit executes the method described in this invention to complete the dynamic alignment adjustment of the coupling.
[0142] This system utilizes data acquisition and processing units to automatically perform full-process adjustments without requiring manual intervention in calculations and decisions. It implements the engineering application of this method in hardware form, making it easy to deploy and promote in industrial settings. Attached Figure Description
[0143] Figure 1 This is a flowchart illustrating the dynamic alignment adjustment method for couplings based on positive and negative trial response gradients according to the present invention.
[0144] Figure 2 This is a schematic diagram of the acquisition of multi-point vibration test signals for the coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to the present invention.
[0145] Figure 3 This is a schematic diagram of the positive and negative radial and positive and negative angular test states of the coupling dynamic alignment adjustment method based on positive and negative test response gradients according to the present invention.
[0146] Figure 4 This is a geometric schematic diagram of the equipment support adjustment amount of the coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to the present invention. Detailed Implementation
[0147] Embodiments of the present invention are described in detail below. Examples of these embodiments are shown in the accompanying drawings, wherein the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the accompanying drawings are exemplary and are only used to explain the present invention, and should not be construed as limiting the present invention.
[0148] In the description of this invention, it should be understood that the terms "longitudinal", "lateral", "up", "down", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing this invention and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on this invention.
[0149] In the description of this invention, unless otherwise specified and limited, it should be noted that the terms "installation", "connection" and "linking" should be interpreted broadly. For example, they can refer to mechanical or electrical connections, or internal connections between two components. They can be direct connections or indirect connections through an intermediate medium. Those skilled in the art can understand the specific meaning of the above terms according to the specific circumstances.
[0150] To address the problem that existing coupling installation and alignment methods primarily rely on static geometric alignment results, making it difficult to determine the dynamic alignment correction direction and amount based on the multi-point vibration response during operation, this invention discloses a dynamic alignment adjustment method for couplings based on positive and negative trial response gradients. After the coupling completes initial installation and geometric alignment, initial multi-point vibration responses are collected under set speed and load conditions. Small-amplitude positive and negative radial and angular trial adjustments are applied, and the phase-synchronous multi-point vibration response is collected per revolution under each trial state. The radial and angular response gradients are calculated based on the differences in the dynamic response evaluation functions under the positive and negative trial states, thereby determining the alignment correction direction and amount that can reduce the system vibration response. Finally, the correction is executed, and the adjustment effect is judged based on the corrected operating response.
[0151] like Figure 1 As shown, the coupling dynamic alignment adjustment method based on positive and negative trial response gradients includes the following steps:
[0152] S1, Obtain the initial installation status and test parameters of the transmission system to be adjusted;
[0153] S2, establish a directed misalignment evaluation coordinate system, and set the initial state, positive and negative radial exploration state, and positive and negative angular exploration state;
[0154] S3, under set speed and set load, collects vibration signals and speed synchronization signals from multiple measuring points in the initial state and under various test states;
[0155] S4. Based on the rotational speed synchronization signal, construct the vibration response vector of multiple measurement points for each rotational speed phase synchronization, and calculate the dynamic response evaluation function;
[0156] S5. Calculate the radial response gradient and angular response gradient based on the dynamic response evaluation function under the positive and negative radial and angular trial states.
[0157] S6. Based on the radial response gradient and angular response gradient, determine the direction and amount of dynamic alignment correction for the coupling, and convert them into equipment support adjustment.
[0158] S7. Adjust the relative position of the shafts at both ends of the coupling according to the dynamic alignment correction amount, re-collect the vibration response at multiple measuring points and judge the adjustment effect.
[0159] S8. When the adjustment effect does not reach the preset dynamic response target, the corrected actual directional misalignment state is used as the new initial state, and steps S2-S7 are repeated until the dynamic response evaluation value reaches the preset dynamic response target.
[0160] In a preferred embodiment of the present invention, the transmission system to be adjusted includes a prime mover, a coupling, a load device, a prime mover support, and a load device support. The prime mover is an electric motor, and the load device is a reducer, a gearbox, or an equivalent load device. The prime mover is mounted on a mounting base via the prime mover support, and the load device is mounted on the mounting base via the load device support. The output shaft of the prime mover is connected to the input shaft of the load device via the coupling. The prime mover support and the load device support are adjustable support structures used to adjust the directional radial offset and directional angular skew between the output shaft of the prime mover and the input shaft of the load device.
[0161] The initial radial offset and initial angular skew between the two axes are measured using a laser alignment instrument, and the initial oriented misalignment state is represented as:
[0162] ,
[0163] Where u0 represents the initial directional misalignment state of the coupling; e0 represents the initial directional radial offset; and α0 represents the initial directional angular skew.
[0164] The test parameters include set rotational speed, set load, sampling frequency, sampling time, number of response channels, measurement point location, measurement direction, vibration response signal at the measurement point, directional radial offset, directional angular skew, and load data. The set rotational speed and set load are selected based on typical operating conditions; the sampling frequency is selected to be five to ten times higher than the highest frequency of interest, ensuring a sufficient number of sampling points within each rotation cycle. The sampling time should ensure that the data collected under each test condition includes multiple complete rotation cycles. The number of response channels, m, represents the total number of vibration response signals participating in the dynamic response evaluation calculation.
[0165] Vibration response signals are collected by vibration sensors located on the prime mover side bearing housing, the bearing housing near the coupling, the bearing housing at the input end of the load equipment, the surface of the load equipment housing, or the equipment support position. The vibration sensors include unidirectional vibration acceleration sensors, tridirectional vibration acceleration sensors, vibration velocity sensors, and non-contact displacement sensors.
[0166] The directional radial offset and directional angular skew were measured by a laser alignment instrument, and the load data were obtained by a torque sensor and a load motor control system.
[0167] like Figure 2 As shown, multiple measuring points are arranged at at least two of the following locations: the prime mover side bearing housing, the coupling adjacent support, the load equipment input end bearing housing, the load equipment housing, and the support position. Each measuring point collects vibration signals in three directions: horizontal, vertical, and axial.
[0168] In a preferred embodiment of the present invention, step S2, which involves establishing a directed misalignment evaluation coordinate system and setting an initial state, positive and negative radial trial states, and positive and negative angular trial states, comprises the following steps:
[0169] Taking the ideal coaxial state of the prime mover output shaft and the load device input shaft as a reference, a vertical plane or a horizontal plane is selected as the evaluation plane, and the directional radial offset e and the directional angular skew α in the evaluation plane are defined.
[0170] The directional radial offset e is used to represent the direction and magnitude of the parallel offset of the two axes within the selected evaluation plane; the directional angular skew α is used to represent the direction and magnitude of the included angle between the two axes within the selected evaluation plane;
[0171] The initial directional misalignment state of the coupling is used as the reference state for positive and negative radial and angular trial adjustments. Subsequent positive and negative trial states apply small directional adjustments near this reference state to identify the dynamic response change trend near the current assembly state. While keeping the angular misalignment constant, small trial adjustments of equal or similar magnitudes are applied in the positive and negative radial directions respectively to obtain the target state for the positive radial trial. and negative radial probe target state :
[0172] ,
[0173] ,
[0174] Where Δe is the radial trial adjustment amount; , The initial directional radial offset and initial directional angular skew are... Indicates vector transpose;
[0175] The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows:
[0176] ,
[0177] ,
[0178] in, , These are the actual measured directional angular deflection amounts under positive and negative radial probing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively.
[0179] To ensure that the angular deflection remains essentially constant during radial probing, the following must be satisfied:
[0180] ,
[0181] ,
[0182] Where, δ α This refers to the permissible angular deviation during radial probing.
[0183] While keeping the radial offset essentially constant, small-amplitude trial adjustments of equal or similar magnitude are applied in both the positive and negative angular directions to obtain the target state in the positive angular direction. and negative angle probe target state :
[0184] ,
[0185] ,
[0186] Where Δα is the angular trial adjustment amount;
[0187] The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows:
[0188] ,
[0189] ,
[0190] in, , These are the actual measured directional radial offsets under the positive and negative angular probing states, respectively. and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument;
[0191] To ensure that the radial offset remains essentially constant during the angular probing process, the following must be satisfied:
[0192]
[0193]
[0194] Where, δ e This represents the permissible radial offset deviation during the angular probing process;
[0195] Positive and negative test adjustments are achieved by adjusting the equipment support position, specifically:
[0196] Radial or angular probing in the vertical plane can be achieved by adjusting the vertical position of the prime mover or load equipment support.
[0197] Radial or angular probing within a horizontal plane can be achieved by adjusting the horizontal position of the prime mover or load equipment support.
[0198] In a preferred embodiment of the present invention, step S3, which involves acquiring multi-point vibration signals and speed synchronization signals under a set rotational speed and a set load, is as follows:
[0199] In the initial state u0, the transmission system is run to the set speed and set load, and vibration signals and speed synchronization signals at multiple measurement points are collected. The speed synchronization signal adopts the key phase signal, encoder pulse signal or speed sensor output signal to determine the shaft phase corresponding to the vibration signal of each response channel, and to provide a phase reference for the subsequent phase synchronization response of each revolution.
[0200] In the positive radial test state u e+ Negative radial test state u e− Positive angular probing state u α+ and negative angular probing state u α− Repeatedly collect vibration signals and rotational speed synchronization signals from multiple measurement points;
[0201] Let the vibration signal of the k-th response channel in the s-th state be denoted as... ,in:
[0202] ,
[0203] ,
[0204] Where s is the state index, s=0 represents the initial state, s=e+ represents the positive radial probing state, s=e− represents the negative radial probing state, s=α+ represents the positive angular probing state, and s=α− represents the negative angular probing state; m is the total number of response channels, and k is the response channel number.
[0205] The response channels are determined by the location of the measuring points and the measurement direction. When p measuring points are set, and each measuring point collects vibration signals in d directions, the total number of response channels is:
[0206] .
[0207] In a preferred embodiment of the present invention, step S4, which involves constructing a multi-point vibration response vector for each rotational speed synchronization based on the rotational speed synchronization signal and calculating the dynamic response evaluation function, is as follows:
[0208] Based on the rotational speed synchronization signal, the vibration signals of each response channel are converted from time coordinates to shaft phase coordinates to obtain the synchronization response per revolution of the k-th response channel in the s-th state. :
[0209] ,
[0210] Where θ is the phase of the rotation axis, θ∈[0,2π); T θ {·} represents the phase synchronization transformation operator based on the speed synchronization signal; This represents the time-domain vibration signal of the k-th response channel under the s-th state;
[0211] Synchronous averaging of the synchronization response for each revolution over multiple consecutive revolutions reduces the impact of random noise and asynchronous disturbances.
[0212] ,
[0213] Where, N c The number of rotation cycles participating in the synchronous average; The phase synchronization response during the nth rotation cycle; Let be the synchronous average response of the k-th response channel in the s-th state;
[0214] The synchronous average response of each response channel is combined into a multi-point synchronous response vector per revolution phase:
[0215] ,
[0216] in, Let be the phase synchronization multi-measurement point response vector per revolution in the s-th state; Let m be the synchronous average response of the m-th response channel;
[0217] A dynamic response evaluation function is constructed to characterize the comprehensive level of vibration response at multiple measurement points under the s-th state:
[0218] ,
[0219] Where, Φ (s) is the dynamic response evaluation value of the s-th state; W is the response channel weight matrix. When all response channels are equally important, W can be a unit weight matrix or a diagonal weight matrix.
[0220] In practical data processing, the dynamic response evaluation function is calculated in discrete form:
[0221] ,
[0222] Where, N θ θ is the number of phase sampling points within a single revolution cycle. j Let j be the j-th phase sampling point.
[0223] In a preferred embodiment of the present invention, such as Figure 3 As shown, step S5 calculates the radial response gradient and angular response gradient based on the dynamic response evaluation function under the positive and negative radial and angular trial states as follows:
[0224] Calculate the radial response gradient based on the dynamic response evaluation values under the positive and negative radial trial states:
[0225] ,
[0226] Among them, g e For radial response gradient; Φ (e+) and Φ (e−) These are the dynamic response evaluation values under positive radial testing and negative radial testing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively.
[0227] Among them, the positive and negative radial trial states satisfy: ;
[0228] Calculate the angular response gradient based on the dynamic response evaluation values under the positive and negative angular trial states:
[0229] ,
[0230] Among them, g α Φ is the angular response gradient; (α+) and Φ (α−) These are the dynamic response evaluation values under the positive angular exploration state and the negative angular exploration state, respectively; and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument;
[0231] Among them, the positive and negative angle trial states satisfy: ;
[0232] The direction of dynamic response descent is determined based on the radial and angular response gradients, specifically as follows:
[0233] When g e When the value is >0, it means that adjusting along the positive radial direction near the current state will increase the dynamic response, and it should be corrected along the negative radial direction.
[0234] When g e When <0, it means that adjusting along the positive radial direction will reduce the dynamic response, and it should be corrected along the positive radial direction;
[0235] When g α When the value is >0, it means that adjusting along the positive direction of the angle near the current state will increase the dynamic response, and it should be corrected along the negative direction of the angle.
[0236] When g α When the value is less than 0, it means that adjusting along the positive direction of the angle will reduce the dynamic response, and it should be corrected along the positive direction of the angle.
[0237] In a preferred embodiment of the present invention, such as Figure 4 As shown, step S6, which determines the direction and amount of dynamic alignment correction for the coupling based on the radial and angular response gradients and converts them into equipment support adjustment, specifically involves the following steps:
[0238] Based on the radial and angular response gradients, a dynamic centering correction vector is constructed:
[0239] ,
[0240] Where, Δu c Γ is the dynamic centering correction vector; Γ is the correction step size matrix;
[0241] Γ is taken as a diagonal matrix:
[0242] ,
[0243] Where, γ e γ is the radial correction step size factor. α γ is the angular correction step size coefficient; e and γ α Based on the units of radial offset, angular skew, and dynamic response evaluation, this is used to convert the response gradient into the corresponding radial and angular corrections.
[0244] The dynamic alignment correction vector is represented as:
[0245]
[0246] Where, Δe c This is the radial correction amount; Δα c This is the angular correction amount;
[0247] The dynamic centering correction vector is limited based on the maximum permissible correction amount:
[0248] ,
[0249] ,
[0250] Where, Δe max and Δα max These are the maximum permissible radial correction and the maximum permissible angular correction for a single operation, respectively.
[0251] The corrected target state should satisfy the geometric safety boundary:
[0252] ,
[0253] ,
[0254] Among them, e min and e max α min and α max These are the permissible directional radial offset and directional angular skew boundaries for the transmission system or coupling, respectively.
[0255] Based on the equipment support adjustment relationship, the dynamic alignment correction vector is converted into a support adjustment amount in the vertical or horizontal direction, specifically as follows:
[0256] When using two support adjustment points (front and rear) for adjustment, let the distance between the two support adjustment points be L. s If the adjustment amount of the front support adjustment point is Δh1 and the adjustment amount of the rear support adjustment point is Δh2, then the following conditions are met:
[0257] ,
[0258] ,
[0259] Therefore, we can conclude that:
[0260] ,
[0261] ,
[0262] Calculate the recommended dynamic centering state:
[0263] ,
[0264] Among them, u c To recommend dynamic alignment states.
[0265] In a preferred embodiment of the present invention, the specific method for step S7, which involves adjusting the relative positions of the shaft systems at both ends of the coupling according to the dynamic alignment correction amount, re-acquiring the vibration response at multiple measuring points, and judging the adjustment effect, is as follows:
[0266] The actual radial offset and actual angular skew were measured using a laser alignment instrument to obtain the corrected directional misalignment state:
[0267] ,
[0268] in, This is the corrected actual directed misalignment state; This is the corrected actual directional radial offset. This is the corrected actual directional skewness.
[0269] Under set speed and load conditions, the corrected multi-point vibration signal and speed synchronization signal were reacquired, the corrected state was denoted as s=c, and the corrected dynamic response evaluation value was calculated:
[0270]
[0271] Where, Φ c The dynamic response evaluation value under the corrected state;
[0272] The effectiveness of the adjustment is judged based on the dynamic response evaluation values before and after the correction. The dynamic centering adjustment is considered effective when the following conditions are met:
[0273] ,
[0274] Where, Φ (0) The dynamic response evaluation value under the initial state; ρ min A preset minimum response reduction rate is used to determine whether the vibration response after dynamic alignment correction has been effectively reduced relative to the initial state; ρ minIt can be set according to test repeatability, sensor measurement error and engineering debugging requirements.
[0275] When the dynamic response target limit is met, it is determined that the current dynamic alignment state of the coupling has reached the preset response target:
[0276] ,
[0277] Where, Φ obj To preset the target limit for dynamic response, used to determine whether the corrected dynamic response evaluation value meets the target for dynamic alignment adjustment of the coupling, Φ obj It can be determined based on equipment vibration control requirements, enterprise commissioning standards, test experience values, or allowable vibration response levels.
[0278] The present invention also provides a coupling dynamic alignment adjustment system based on positive and negative trial response gradients, including a data acquisition unit and a processing unit. The data acquisition unit is used to acquire the initial installation state and test parameters of the transmission system to be adjusted.
[0279] The input end of the processing unit is connected to the output end of the data acquisition unit. The processing unit executes the method described in this invention to complete the dynamic alignment adjustment of the coupling.
[0280] The specific embodiments described herein are merely illustrative examples of the present invention. Those skilled in the art can make various modifications or additions to the described embodiments or use similar methods to substitute them, without departing from the technology of the present invention or exceeding the scope defined by the appended claims.
[0281] In the embodiments of this application, terms such as "fixed," "fixed connection," and "fixed connection" refer to common fixing methods in the prior art, such as welding, riveting, and screws. "Rotary connection" refers to common rotary connection methods in the prior art, such as hinges and bearing rotation. If electrical components are provided, the functions, control, and power supply methods of all electrical components are common technical means in the prior art. This application has not improved them and they are not within the protection scope of this application. Therefore, this application will not elaborate on them.
[0282] Furthermore, the selection of materials and strength limitations for all components in this application can be made and arranged by those skilled in the art based on the site environment and the requirements of relevant national or industry standards, and are not within the scope of protection of this application. Therefore, this application will not elaborate on these points.
Claims
1. A method for dynamic alignment adjustment of couplings based on positive and negative trial response gradients, characterized in that, Includes the following steps: S1, Obtain the initial installation status and test parameters of the transmission system to be adjusted; S2, establish a directed misalignment evaluation coordinate system, and set the initial state, positive and negative radial exploration state, and positive and negative angular exploration state; S3, under set speed and set load, collects vibration signals and speed synchronization signals from multiple measuring points in the initial state and under various test states; S4. Based on the rotational speed synchronization signal, construct the vibration response vector of multiple measurement points with phase synchronization per revolution, and calculate the dynamic response evaluation function; S5. Calculate the radial response gradient and angular response gradient based on the dynamic response evaluation function under the positive and negative radial and angular trial states. S6. Based on the radial response gradient and angular response gradient, determine the direction and amount of dynamic alignment correction for the coupling, and convert them into equipment support adjustment. S7. Adjust the relative position of the shafts at both ends of the coupling according to the dynamic alignment correction amount, re-collect the vibration response at multiple measuring points and judge the adjustment effect. S8. When the adjustment effect does not reach the preset dynamic response target, the corrected actual directional misalignment state is used as the new initial state, and steps S2-S7 are repeated until the dynamic response evaluation value reaches the preset dynamic response target.
2. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 1, characterized in that, The transmission system to be adjusted includes a prime mover, a coupling, a load device, a prime mover support, and a load device support. The prime mover is an electric motor, and the load device is a reducer, a gearbox, or an equivalent load device. The initial radial offset and initial angular skew between the two axes are measured using a laser alignment instrument, and the initial oriented misalignment state is represented as: , Where u0 represents the initial directional misalignment state of the coupling; e0 represents the initial directional radial offset; and α0 represents the initial directional angular skew. The test parameters include set rotational speed, set load, sampling frequency, sampling time, number of response channels, measurement point position, measurement direction, vibration response signal of measurement point, directional radial offset, directional angular deflection, and load data. Multiple measuring points are arranged at at least two of the following locations: the prime mover side bearing housing, the coupling adjacent support, the load equipment input end bearing housing, the load equipment housing, and the support position. Each measuring point collects vibration signals in three directions: horizontal, vertical, and axial.
3. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 2, characterized in that, Step S2, establishing a directed misalignment evaluation coordinate system and setting the initial state, positive and negative radial trial states, and positive and negative angular trial states, is as follows: Taking the ideal coaxial state of the prime mover output shaft and the load device input shaft as a reference, a vertical plane or a horizontal plane is selected as the evaluation plane, and the directional radial offset e and the directional angular skew α in the evaluation plane are defined. The directional radial offset e is used to represent the direction and magnitude of the parallel offset of the two axes within the selected evaluation plane; the directional angular skew α is used to represent the direction and magnitude of the included angle between the two axes within the selected evaluation plane. Using the initial directional misalignment state of the coupling as the reference state for positive and negative radial trial adjustments and positive and negative angular trial adjustments, while keeping the angular misalignment constant, small trial adjustments of the same or similar magnitude are applied in the positive and negative radial directions respectively to obtain the target state for the positive radial trial. and negative radial probe target state : , , Where Δe is the radial trial adjustment amount; Indicates vector transpose; The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows: , , in, , These are the actual measured directional angular deflection amounts under positive and negative radial probing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively. To ensure that the angular deflection remains essentially constant during radial probing, the following must be satisfied: , , Where, δ α This refers to the permissible angular deviation during radial probing. While keeping the radial offset essentially constant, small-amplitude trial adjustments of equal or similar magnitude are applied in both the positive and negative angular directions to obtain the target state in the positive angular direction. and negative angle probe target state : , , Where Δα is the angular trial adjustment amount; The actual test state is the directional radial offset measured by the laser alignment instrument. and directional angular deflection For the sake of accuracy, they are expressed as follows: , , in, , These are the actual measured directional radial offsets under the positive and negative angular probing states, respectively. and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument; To ensure that the radial offset remains essentially constant during the angular probing process, the following must be satisfied: , , Where, δ e This represents the permissible radial offset deviation during the angular probing process; Positive and negative test adjustments are achieved by adjusting the equipment support position, specifically: Radial or angular probing in the vertical plane can be achieved by adjusting the vertical position of the prime mover or load equipment support. Radial or angular probing within a horizontal plane can be achieved by adjusting the horizontal position of the prime mover or load equipment support.
4. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 1, characterized in that, Step S3 involves acquiring multi-point vibration signals and speed synchronization signals under set speed and load conditions, both in the initial state and under various trial states. In the initial state u0, the transmission system is run to the set speed and set load, and vibration signals and speed synchronization signals at multiple measurement points are collected. The speed synchronization signal uses key phase signal, encoder pulse signal or speed sensor output signal to determine the shaft phase corresponding to the vibration signal of each response channel. In the positive radial test state u e+ Negative radial test state u e− Positive angular probing state u α+ and negative angular probing state u α− Repeatedly collect vibration signals and rotational speed synchronization signals from multiple measurement points; Let the vibration signal of the k-th response channel in the s-th state be denoted as... ,in: , , Where s is the state index, s=0 represents the initial state, s=e+ represents the positive radial probing state, s=e− represents the negative radial probing state, s=α+ represents the positive angular probing state, and s=α− represents the negative angular probing state; m is the total number of response channels, and k is the response channel number. The response channels are determined by the location of the measuring points and the measurement direction. When p measuring points are set, and vibration signals in d directions are collected at each measuring point, the total number of response channels is: 。 5. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 4, characterized in that, Step S4, based on the rotational speed synchronization signal, constructs a multi-point vibration response vector for each rotational speed phase synchronization and calculates the dynamic response evaluation function as follows: Based on the rotational speed synchronization signal, the vibration signals of each response channel are converted from time coordinates to shaft phase coordinates to obtain the synchronization response per revolution of the k-th response channel in the s-th state. : , Where θ is the phase of the rotation axis, θ∈[0,2π); T θ {·} represents the phase synchronization transformation operator based on the speed synchronization signal; This represents the time-domain vibration signal of the k-th response channel under the s-th state; Synchronous averaging of the synchronization response for each revolution over multiple consecutive revolutions reduces the impact of random noise and asynchronous disturbances. , Where, N c The number of rotation cycles participating in the synchronous average; The phase synchronization response during the nth rotation cycle; Let be the synchronous average response of the k-th response channel in the s-th state; The synchronous average response of each response channel is combined into a multi-point synchronous response vector per revolution phase: , in, Let be the phase synchronization multi-measurement point response vector per revolution in the s-th state; Let m be the synchronous average response of the m-th response channel; A dynamic response evaluation function is constructed to characterize the comprehensive level of vibration response at multiple measurement points under the s-th state: , Where, Φ (s) is the dynamic response evaluation value of the s-th state; W is the response channel weight matrix. When all response channels are equally important, W can be a unit weight matrix or a diagonal weight matrix. In practical data processing, the dynamic response evaluation function is calculated in discrete form: , Where, N θ θ is the number of phase sampling points within a single revolution cycle. j Let j be the j-th phase sampling point.
6. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 1, characterized in that, Step S5, based on the dynamic response evaluation functions under the positive and negative radial and angular trial states, calculates the radial response gradient and angular response gradient as follows: Calculate the radial response gradient based on the dynamic response evaluation values under the positive and negative radial trial states: , Among them, g e For radial response gradient; Φ (e+) and Φ (e−) These are the dynamic response evaluation values under positive radial testing and negative radial testing states, respectively. and These are the positive and negative directional radial offsets actually measured by the laser alignment instrument, respectively. Among them, the positive and negative radial trial states satisfy: ; Based on the dynamic response evaluation values under the positive and negative angular trial states, calculate the angular response gradient: , Among them, g α Φ is the angular response gradient; (α+) and Φ (α−) These are the dynamic response evaluation values under the positive angular exploration state and the negative angular exploration state, respectively; and These are the positive and negative directional angular deviations actually measured by the laser alignment instrument; Among them, the positive and negative angle trial states satisfy: ; The direction of dynamic response descent is determined based on the radial and angular response gradients, specifically as follows: When g e When the value is >0, it means that adjusting along the positive radial direction near the current state will increase the dynamic response, and it should be corrected along the negative radial direction. When g e When <0, it means that adjusting along the positive radial direction will reduce the dynamic response, and it should be corrected along the positive radial direction; When g α When the value is >0, it means that adjusting along the positive direction of the angle near the current state will increase the dynamic response, and it should be corrected along the negative direction of the angle. When g α When the value is less than 0, it means that adjusting along the positive direction of the angle will reduce the dynamic response, and it should be corrected along the positive direction of the angle.
7. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 6, characterized in that, Step S6, which determines the direction and amount of dynamic alignment correction for the coupling based on the radial and angular response gradients and converts them into equipment support adjustment, is as follows: Based on the radial and angular response gradients, a dynamic centering correction vector is constructed: , Where, Δu c Γ is the dynamic centering correction vector; Γ is the correction step size matrix; Γ is taken as a diagonal matrix: , Where, γ e γ is the radial correction step size factor. α This is the angular correction step size coefficient; The dynamic alignment correction vector is represented as: , Where, Δe c This is the radial correction amount; Δα c This is the angular correction amount; The dynamic centering correction vector is limited based on the maximum permissible correction amount: , , Where, Δe max and Δα max These are the maximum permissible radial correction and the maximum permissible angular correction for a single operation, respectively. The corrected target state should satisfy the geometric safety boundary: , , Among them, e min and e max α min and α max These are the permissible directional radial offset and directional angular skew boundaries for the transmission system or coupling, respectively. Based on the equipment support adjustment relationship, the dynamic alignment correction vector is converted into a support adjustment amount in the vertical or horizontal direction, specifically as follows: When using two support adjustment points (front and rear) for adjustment, let the distance between the two support adjustment points be L. s If the adjustment amount of the front support adjustment point is Δh1 and the adjustment amount of the rear support adjustment point is Δh2, then the following conditions are met: , , Therefore, we can conclude that: , , Calculate the recommended dynamic centering state: , Among them, u c To recommend dynamic alignment states.
8. The coupling dynamic alignment adjustment method based on positive and negative trial response gradients according to claim 7, characterized in that, Step S7 involves adjusting the relative positions of the shafts at both ends of the coupling according to the dynamic alignment correction amount, re-acquiring the vibration response at multiple measuring points, and judging the adjustment effect. The specific method is as follows: The actual radial offset and actual angular skew were measured using a laser alignment instrument to obtain the corrected directional misalignment state: , in, This is the corrected actual directed misalignment state; This is the corrected actual directional radial offset. This is the corrected actual directional skewness. Under set speed and load conditions, the corrected multi-point vibration signal and speed synchronization signal were reacquired, the corrected state was denoted as s=c, and the corrected dynamic response evaluation value was calculated: , Where, Φ c The dynamic response evaluation value under the corrected state; The effectiveness of the adjustment is judged based on the dynamic response evaluation values before and after the correction. The dynamic centering adjustment is considered effective when the following conditions are met: , Where, Φ (0) The dynamic response evaluation value under the initial state; ρ min The preset minimum response reduction rate is used to determine whether the vibration response after dynamic alignment correction is reduced relative to the initial state. When the dynamic response target limit is met, it is determined that the current dynamic alignment state of the coupling has reached the preset response target: , Where, Φ obj The preset dynamic response target limit is used to determine whether the corrected dynamic response evaluation value meets the coupling dynamic alignment adjustment target.
9. A coupling dynamic alignment adjustment system based on positive and negative trial response gradients, characterized in that, It includes a data acquisition unit and a processing unit. The data acquisition unit is used to acquire the initial installation state and test parameters of the transmission system to be adjusted. The input end of the processing unit is connected to the output end of the data acquisition unit, and the processing unit executes the method described in any one of claims 1-8 to complete the dynamic alignment adjustment of the coupling.