Cable force calculation method and system for cable-stayed cable, electronic device, storage medium

Abstract

The application relates to the field of structural health monitoring, and provides a stay cable force calculation method and system, an electronic device and a storage medium.The method comprises the following steps: acquiring multi-source signals of a to-be-measured stay cable, wherein the multi-source signals at least include acceleration signals and angular velocity signals; performing frequency domain analysis on the acceleration signals to determine acceleration frequency spectra, and performing frequency domain analysis on the angular velocity signals to determine angular velocity frequency spectra; weighting the acceleration frequency spectra and the angular velocity frequency spectra to calculate fusion spectra; performing full-frequency peak value detection on the fusion spectra to determine support degree scores of candidate fundamental frequencies, and determining a fundamental frequency signal based on the support degree scores; and calculating the cable force of the to-be-measured stay cable based on the fundamental frequency signal.The method can solve the defects of insufficient main frequency identification and cable force inversion accuracy when a stay cable bridge is subjected to cable force monitoring in the related art, and can perform more accurate cable force calculation by performing frequency domain analysis and full-frequency peak value detection on multi-source data of the stay cable.

Description

Technical Field

[0001] This invention relates to the field of structural health monitoring technology, and in particular to a method and system for calculating the cable force of a stay cable, an electronic device, and a storage medium. Background Technology

[0002] A cable-stayed bridge, also known as a cable-stayed bridge, is a type of bridge in which the main beam is directly attached to the bridge towers by a number of cables. It is a structural system composed of pressure-bearing towers, tension-bearing cables, and bending-bearing beams.

[0003] The safety and durability of supporting structures such as cable-stayed bridges are highly dependent on the long-term stability and real-time monitoring of cable forces. In engineering practice, cable force measurement methods are mainly divided into: direct / quasi-direct methods (pressure rings, mechanical force application), vibration frequency methods (inversion based on natural frequencies), and a small number of non-contact measurements (optical / radar, etc.). Among them, the vibration frequency method is the most commonly used due to its simple deployment and low cost, but under conditions of low signal-to-noise ratio, strong harmonic interference, and complex boundary conditions, the accuracy of dominant frequency identification and cable force inversion is still insufficient. Summary of the Invention

[0004] This invention provides a method and system for calculating cable force in cable-stayed bridges, as well as an electronic device and a storage medium, to address the shortcomings of insufficient accuracy in main frequency identification and cable force inversion when monitoring cable force in cable-stayed bridges in related technologies. The solution in this application can perform frequency domain analysis and full-band peak detection on multi-source data of cable-stayed bridges to perform more accurate cable force calculation.

[0005] This invention provides a method for calculating the cable force of a stay cable, comprising:

[0006] Acquire multi-source signals from the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0007] The acceleration signal is subjected to frequency domain analysis to determine the acceleration spectrum, and the angular velocity signal is subjected to frequency domain analysis to determine the angular velocity spectrum.

[0008] The acceleration spectrum and the angular velocity spectrum are weighted to calculate the fused spectrum;

[0009] Full-band peak detection is performed on the fused spectrum to determine the support score of the candidate fundamental frequency, and the fundamental frequency signal is determined based on the support score;

[0010] The cable force of the cable to be tested is calculated based on the fundamental frequency signal.

[0011] According to the cable force calculation method for stay cables provided by the present invention, after acquiring the multi-source signal of the stay cable to be measured, the method further includes:

[0012] The multi-source signal is preprocessed, including synchronous sampling and timing alignment.

[0013] According to the cable tension calculation method provided by the present invention, the multi-source signal further includes current temperature data;

[0014] The calculation of the cable force of the cable under test is followed by:

[0015] Temperature compensation is performed on the cable force of the cable under test using the following formula:

[0016]

[0017] in, The compensated cable force value, For uncompensated cable tension, The difference between the measured temperature and the calibrated temperature. This is the temperature correction factor.

[0018] According to the cable force calculation method for cable stays provided by the present invention, the step of weighting the acceleration spectrum and the angular velocity spectrum to calculate the fused spectrum includes:

[0019] The fusion spectrum is calculated using the adaptive weighted fusion method with the following formula:

[0020]

[0021] in, For fusion spectrum, For the acceleration spectrum, The angular velocity spectrum and It conforms to the following formula:

[0022]

[0023]

[0024] in, The signal-to-noise ratio of the acceleration signal. denoted as the signal-to-noise ratio of the angular velocity signal.

[0025] According to the cable force calculation method for cable stays provided by the present invention, the signal-to-noise ratio of the acceleration signal conforms to the following formula:

[0026]

[0027] The signal-to-noise ratio of the angular velocity signal conforms to the following formula:

[0028] .

[0029] According to the cable force calculation method for stay cables provided by the present invention, the step of calculating the cable force of the stay cable under test based on the fundamental frequency signal includes:

[0030] The cable force of the cable under test is calculated based on the fundamental frequency signal using the following formula:

[0031]

[0032] in, For cable force, For elastic modulus, Let the moment of inertia of the cross section be... The correction factor is L, where L is the length of the cable under test, m is the mass per unit length of the cable, and n is the modal order. The base frequency signal is referred to here.

[0033] According to the cable force calculation method for stay cables provided by the present invention, the step of calculating the cable force of the stay cable under test based on the fundamental frequency signal further includes:

[0034] An alarm will be triggered if the cable tension of the cable under test exceeds the set threshold range.

[0035] The present invention also provides a cable force calculation system for stay cables, comprising:

[0036] The signal acquisition module is used to acquire multi-source signals of the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0037] The frequency domain analysis module is used to perform frequency domain analysis on the acceleration signal to determine the acceleration spectrum, and to perform frequency domain analysis on the angular velocity signal to determine the angular velocity spectrum.

[0038] The spectrum fusion module is used to weight the acceleration spectrum and the angular velocity spectrum to calculate the fused spectrum;

[0039] The fundamental frequency detection module is used to perform full-band peak detection on the fused spectrum, determine the support score of the candidate fundamental frequency, and determine the fundamental frequency signal based on the support score;

[0040] The cable force calculation module is used to calculate the cable force of the cable under test based on the fundamental frequency signal.

[0041] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement any of the above-described methods for calculating the cable force of a stay cable.

[0042] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements any of the above-described methods for calculating the cable force of a stay cable.

[0043] The present invention also provides a computer program product, including a computer program that, when executed by a processor, implements any of the above-described methods for calculating the cable force of a stay cable.

[0044] The cable force calculation method provided by this invention can fuse the acceleration signal and angular velocity signal of the cable under test, and calculate the fused spectrum through a weighted scheme. This can significantly improve the accuracy and robustness of fundamental frequency identification in low signal-to-noise ratio environments. In addition, by adopting full-band peak detection, harmonic and octave elimination, and support scoring strategies, the method ensures that the interpretation capability of the selected fundamental frequency signal is optimal, minimizes misjudgment caused by harmonic interference, and further improves the accuracy of cable force calculation. Attached Figure Description

[0045] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0046] Figure 1 This is a flowchart illustrating the cable force calculation method for cable stays provided in an embodiment of the present invention;

[0047] Figure 2 This is a schematic diagram of the adaptive weighted fusion process provided in an embodiment of the present invention;

[0048] Figure 3 This is a flowchart illustrating the process of determining the baseband signal provided in an embodiment of the present invention;

[0049] Figure 4 This is one of the structural schematic diagrams of the cable force calculation system provided in the embodiments of the present invention;

[0050] Figure 5 This is the second schematic diagram of the cable force calculation system provided in the embodiment of the present invention;

[0051] Figure 6 This is a schematic diagram of the physical structure of the electronic device provided in an embodiment of the present invention. Detailed Implementation

[0052] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions of this invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this invention. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.

[0053] Some related technologies exist for calculating cable force in stay cables. For example, the vibration method based on linear model calibration can establish a linear model through multi-stage tensioning and frequency calibration during construction, which can be used for cable force inversion during operation. However, it relies on a single-channel acceleration signal, does not integrate angular velocity information, lacks multi-source fusion and adaptive weighting mechanisms, is insufficient in identifying and eliminating harmonic and octave interference, has an imperfect temperature drift compensation mechanism, and does not provide a unified and operable correction method for the impact on bending stiffness (EI). It needs to be calibrated during construction and cannot be directly applied to in-service stay cables.

[0054] The mechanical force application / rigid string principle measurement method and device realizes cable force measurement through a mechanical system and has strong anti-interference ability. However, it is an interventional measurement method that requires the installation of clamping devices and is not suitable for non-invasive monitoring scenarios. It does not involve the fusion processing and spectrum weighting of multi-source vibration signals, and lacks systematic temperature compensation, harmonic elimination and cloud collaboration mechanisms.

[0055] The frequency optimization and EI correction method optimizes frequency identification through time-domain delay and energy extrema, and introduces an EI correction term. However, its frequency optimization does not combine multi-source fusion of acceleration and angular velocity, lacks SNR adaptive weights, does not establish a clear harmonic / double frequency support scoring and elimination mechanism, and does not realize a low-power engineering solution for edge-cloud collaboration.

[0056] The auxiliary cable clamp and two-order frequency iterative solution method change the boundary conditions by installing auxiliary cable clamps and jointly solve the cable force and EI. However, it requires additional clamps and cables, which is intrusive to the structure. The frequency acquisition is still mainly based on single-channel acceleration, without introducing angular velocity information and SNR fusion. It also lacks complete temperature compensation, harmonic screening and cloud collaboration links.

[0057] In summary, most of the related technologies have the following drawbacks:

[0058] 1. Single-source signal dominance: It is mainly based on single-channel acceleration, lacks angular velocity coordination and SNR-based adaptive weight fusion, and is not sensitive to low SNR, installation location differences, etc.

[0059] 2. Harmonics and harmonics: Although there are frequency optimizations such as filtering or delay superposition, there is a lack of clear harmonic / harmonic elimination and support scoring process, so the risk of misselection of the fundamental frequency still exists.

[0060] 3. EI and Boundaries: Either EI is ignored, or the boundaries are changed through clamping / iteration, which involves implementation complexity or intrusion; and EI correction and multi-source fusion have not formed an integrated pipeline.

[0061] 4. Insufficient engineering: Most solutions do not provide end-to-end implementations for engineering elements such as temperature compensation, edge-cloud distributed processing, remote upgrades, and low-power long-term online operation.

[0062] To address the aforementioned pain points, without altering existing boundary conditions, engineering practice urgently needs a non-intrusive, low-power, real-time online monitoring solution for in-service cable-stayed cables, which should at least solve the following problems:

[0063] 1. Effective utilization of multi-source vibration information: Under low signal-to-noise ratio and complex working conditions, how to simultaneously utilize multi-source information such as acceleration and angular velocity to improve the observability and robustness of the dominant frequency.

[0064] 2. Systematic suppression of harmonic / octave interference: How to establish a reusable peak grouping and discrimination process to reduce the risk of fundamental frequency misselection caused by octave dominance.

[0065] 3. Unified correction of the influence of bending stiffness: How to incorporate the EI factor into the cable force inversion in an engineering-operable manner under short cable and high modal conditions.

[0066] 4. Environmental factor compensation: How to incorporate environmental variables such as temperature into pretreatment to suppress frequency drift and improve long-term consistency.

[0067] 5. Engineering and Maintainability: How to build a collaborative processing link between the edge and the cloud to ensure real-time output on-site while meeting the requirements for historical trend analysis, remote upgrades, and low-power long-term online operation.

[0068] Based on this, the present application provides a method and system for calculating the cable force of a stay cable, an electronic device, and a storage medium, as detailed below.

[0069] Figure 1 This is a flowchart illustrating the cable force calculation method for cable stays provided in an embodiment of the present invention.

[0070] like Figure 1 As shown, this embodiment provides a method for calculating the cable force of a stay cable, including:

[0071] Step 101: Obtain multi-source signals from the cable to be tested, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0072] In practical applications, a signal acquisition module can be deployed on the cable under test. This module can include at least one inertial measurement unit (IMU) integrating a triaxial accelerometer and a triaxial gyroscope, as well as a temperature sensor, to synchronously acquire acceleration data. , , angular velocity data , , And ambient temperature data.

[0073] Step 102: Perform frequency domain analysis on the acceleration signal to determine the acceleration spectrum, and perform frequency domain analysis on the angular velocity signal to determine the angular velocity spectrum;

[0074] Step 103: Weight the acceleration spectrum and the angular velocity spectrum to calculate the fused spectrum;

[0075] Figure 2 This is a schematic diagram of the adaptive weighted fusion process provided in an embodiment of the present invention.

[0076] like Figure 2 As shown, in practice, the fusion spectrum can be calculated using the adaptive weight fusion method with the following formula:

[0077]

[0078] in, For fusion spectrum, For the acceleration spectrum, The angular velocity spectrum and It can be calculated based on the real-time signal-to-noise ratio, conforming to the following formula:

[0079]

[0080]

[0081] in, , These represent the ratios of the peak power of the acceleration and angular velocity channels in the narrow band of the fundamental frequency neighborhood to the noise power of the adjacent noise bands. The signal-to-noise ratio of the acceleration signal. denoted as the signal-to-noise ratio of the angular velocity signal.

[0082] Specifically, the signal-to-noise ratio of the acceleration signal conforms to the following formula:

[0083]

[0084] The signal-to-noise ratio of the angular velocity signal conforms to the following formula:

[0085] .

[0086] In practical applications, the real-time signal-to-noise ratio (SNR) can be calculated in advance. This means that the ratio of signal power to noise power is dynamically estimated during data acquisition and processing. It is used to characterize the reliability of the current measurement data and is expressed in decibels (dB). The formula for calculating the SNR value is as follows:

[0087]

[0088] in, It is signal power. It is noise power.

[0089] A higher real-time SNR value indicates a clearer source signal and less noise interference; conversely, a lower SNR value indicates that the signal is more affected by noise.

[0090] In this embodiment, the real-time SNR is used as the weighting criterion for the weighted fusion algorithm. When the real-time SNR of a data source is high, it is given a higher fusion weight; when the real-time SNR of a data source is low, its weight contribution is reduced. Through this adaptive adjustment mechanism, it can be ensured that the fused spectrum is closer to the real physical fundamental frequency, thereby improving the stability and accuracy of fundamental frequency identification and cable force calculation.

[0091] Step 104: Perform full-band peak detection on the fused spectrum, determine the support score of the candidate fundamental frequency, and determine the fundamental frequency signal based on the support score;

[0092] Figure 3 This is a schematic diagram of the process for determining the baseband signal provided in an embodiment of the present invention.

[0093] like Figure 3 As shown, in practical applications, peak detection and grouping can be performed on the fused spectrum generated in step 103 across the entire frequency band, eliminating those that meet the criteria. ≈ (Tolerance setting, Candidate harmonics (integer values) are selected as harmonic / dominant frequencies; the support score for each candidate group is calculated, and the lowest frequency of the group with the highest support is selected as the fundamental frequency. .

[0094] The support score is a comprehensive measure of the number of peak groups and the energy within each group. The support score is calculated as: Support Score = Number of peak groups × Total energy.

[0095] Step 105: Calculate the cable force of the cable to be tested based on the fundamental frequency signal.

[0096] In practical applications, the cable force of the cable under test can be calculated based on the fundamental frequency signal using the following formula:

[0097]

[0098] in, For cable force, For elastic modulus, Let the moment of inertia of the cross section be... The correction factor is L, where L is the length of the cable under test, m is the unit mass, and n is the modal order. The base frequency signal is referred to here.

[0099] The cable force calculation method provided in this embodiment can fuse the acceleration and angular velocity signals of the cable under test, and calculate the fused spectrum through a weighted scheme. This can significantly improve the accuracy and robustness of fundamental frequency identification in low signal-to-noise ratio environments. In addition, the method employs full-band peak detection, harmonic and octave elimination, and support scoring strategies to ensure that the interpretation capability of the selected fundamental frequency signal is optimal, minimize misjudgments caused by harmonic interference, and further improve the accuracy of cable force calculation.

[0100] In an exemplary embodiment, after acquiring the multi-source signals of the cable under test and before performing frequency domain analysis on the acceleration and angular velocity signals, the method further includes:

[0101] The multi-source signal is preprocessed, including synchronous sampling and timing alignment.

[0102] Specifically, the acquired multi-element signals can be time-aligned, filtered, have their gravity components removed, and be normalized.

[0103] The cable force of the cable to be tested is calculated, and then temperature compensation can be applied to the cable force.

[0104] During temperature compensation, a temperature compensation model can be introduced to correct the cable force value based on temperature. The temperature compensation model conforms to the following formula:

[0105]

[0106] in, The compensated cable force value, For uncompensated cable tension, The difference between the measured temperature and the calibrated temperature. This is the temperature correction factor, which can be obtained through experimental calibration or by fitting historical data.

[0107] In the exemplary embodiment, the cable force calculation method for stay cables provided in this application can be completed jointly by the edge terminal and the cloud. Specifically, the calculation process of steps 101 to 105 above can be completed by the edge terminal. Subsequently, the calculation results can be uploaded to the cloud for further high-precision calculation, trend analysis, and remote upgrades, and an alarm can be triggered when the cable force exceeds the limit. In implementation, when communication is interrupted, the edge terminal can run independently and save data. When network communication is restored, the data is automatically uploaded to the cloud.

[0108] In summary, the cable force calculation method for stay cables provided in this application has the following technical advantages:

[0109] 1. Improve the observability and recognition accuracy of the main frequency under low signal-to-noise ratio and complex operating conditions;

[0110] 2. Reduce the systematic error caused by neglecting bending stiffness in cable force inversion under short cable and high-order modal conditions;

[0111] 3. Establish a standardized process for eliminating harmonic and overtone interference to reduce incorrect fundamental frequency selection;

[0112] 4. Introduce a temperature compensation mechanism to improve the consistency and stability of long-term online monitoring;

[0113] 5. Construct an edge-cloud collaborative processing architecture that balances real-time output on-site with high-precision analysis in the cloud, while still maintaining local independent operation capabilities in the event of communication failures.

[0114] The cable force calculation system for cable stays provided by the present invention is described below. The cable force calculation system described below and the cable force calculation method described above can be referred to in correspondence.

[0115] Figure 4 This is one of the structural schematic diagrams of the cable force calculation system provided in the embodiments of the present invention.

[0116] like Figure 4 As shown, the cable force calculation system for stay cables provided in this embodiment includes:

[0117] The signal acquisition module 401 is used to acquire multi-source signals of the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals.

[0118] The frequency domain analysis module 402 is used to perform frequency domain analysis on the acceleration signal to determine the acceleration spectrum, and to perform frequency domain analysis on the angular velocity signal to determine the angular velocity spectrum.

[0119] The spectrum fusion module 403 is used to weight the acceleration spectrum and the angular velocity spectrum to calculate the fused spectrum;

[0120] The fundamental frequency detection module 404 is used to perform full-band peak detection on the fused spectrum, determine the support score of the candidate fundamental frequency, and determine the fundamental frequency signal based on the support score;

[0121] The cable force calculation module 405 is used to calculate the cable force of the cable to be tested based on the fundamental frequency signal.

[0122] In practical applications, modules 401 to 405 can all be located at the edge. At the edge, these modules calculate the cable force of the cable under test. The calculation results can then be uploaded to the cloud for further high-precision calculations, trend analysis, and remote upgrades. An alarm will be triggered when the cable force exceeds the limit. During implementation, when communication is interrupted, the edge can operate independently and save data. When network communication is restored, the data will be automatically uploaded to the cloud.

[0123] The specific implementation method of the cable force calculation system provided in this embodiment can be implemented with reference to the above embodiment, and will not be repeated here.

[0124] The following specific embodiment illustrates the cable force calculation method and system provided by this application.

[0125] Figure 5 This is the second structural schematic diagram of the cable force calculation system provided in the embodiment of the present invention.

[0126] like Figure 5 As shown, the cable-stayed bridge tension calculation system includes a field section, i.e., an edge section, and a cloud section (cloud computing platform). The edge section includes a multi-source sensor module, an environmental monitoring module, an edge computing module, a communication module, and a power supply module. Data flows from the field sensor module to the edge computing module, then to the communication module and the cloud platform, ensuring real-time data transmission and processing.

[0127] The real-time cable force measurement method applied to cable-stayed bridge force calculation systems includes the following steps:

[0128] 1. Vibration signal acquisition

[0129] At the target cable-stayed cable (length) ,diameter unit mass Vibration signal acquisition modules are installed at the mid-section and anchorage end, respectively. Each module includes:

[0130] Inertial Measurement Unit (IMU): Model ICM-42688P, integrating a three-axis accelerometer and a three-axis gyroscope, with an acceleration noise density ≤40. gyroscope zero bias ≤ ;

[0131] Temperature sensor: Model PT1000, measuring range -40°C to +85°C, accuracy 0.1°C;

[0132] Acquisition unit: STM32L412 MCU, sampling frequency set to 200 Hz, supports synchronous triggering.

[0133] The module connects to the edge computing node via a 4G / 5G communication module, ensuring data transmission latency of less than 100ms.

[0134] 2. Data Preprocessing and Temperature Compensation

[0135] The acquired raw data is first timestamped and synchronized within the MCU. Then, the following steps are executed sequentially:

[0136] Filtering: A third-order Butterworth low-pass filter with a cutoff frequency of 50Hz is used;

[0137] Gravity component removal: Gravity components are removed using the low-frequency mean separation method;

[0138] Normalization: Normalize by the standard deviation of each channel to eliminate the influence of dimensions;

[0139] Temperature compensation: a temperature correction factor obtained through experimental calibration. =−0.0025, according to the formula

[0140]

[0141] The cable tension value is corrected, where This represents the difference between the measured temperature and the 20°C calibration temperature.

[0142] 3. Adaptive weighted fusion spectrum calculation

[0143] The edge end first processes the acceleration signal With angular velocity signal Perform a Fast Fourier Transform (FFT) to obtain the power spectral density:

[0144] and

[0145] The signal-to-noise ratio (SNR) is calculated by selecting the energy of a narrow-band integral near the fundamental frequency peak as the main peak power of the signal, and the mean square value of the energy in the remaining frequency bands as the noise power.

[0146] ,

[0147] , These are the signal-to-noise ratios of the acceleration and angular velocity signals, respectively.

[0148] According to real time Calculate the adaptive fusion weights:

[0149] , =1–

[0150] The final fusion spectrum is:

[0151]

[0152] This method can dynamically adjust the contribution ratio of acceleration and angular velocity according to the real-time signal quality, avoiding the failure of fixed weights under low signal-to-noise ratio conditions.

[0153] 4. Fundamental frequency extraction and support scoring

[0154] Peak detection is performed across the entire frequency band in the fused spectrum. After removing harmonic and octave frequencies, a support score is calculated for each candidate fundamental frequency. The lowest frequency of the group with the highest support score is selected as the fundamental frequency. Specifically:

[0155] right Perform peak detection to find all candidate frequencies;

[0156] Frequency doubling elimination: If the candidate frequencies satisfy the following conditions... ≈ ⋅ ( If the value is an integer and the error is ≤1%, then the frequency harmonics will be discarded.

[0157] Support rating:

[0158] Support Score = ×

[0159] in, The number of peak groups, This is the integral value of the total power spectrum for this set of frequencies.

[0160] 5. Calculation of cable force for bending stiffness correction

[0161] Known parameter: length =120m, unit mass =65 kg / m, Modal order =1. Elastic modulus =2.0×10¹¹ Pa, moment of inertia of cross section =3.2× Correction coefficient =0.95.

[0162] Calculate using the formula:

[0163]

[0164] For example, the fundamental frequency is detected. =1.85Hz, substituting gives ≈3625kN.

[0165] 6. Edge-to-Cloud Collaboration and Real-time Alarms

[0166] Edge end: Complete the above calculations and update the cable force curve once per second;

[0167] Cloud-based: Performing long-term trend analysis and predictive maintenance;

[0168] Alarm strategy: When the cable force exceeds the ±10% safety threshold, the edge device will immediately trigger a local buzzer and send an alarm to the cloud.

[0169] In practical applications, to improve measurement stability, IMU modules are deployed at the 1 / 2, 1 / 4, and ends of the stay cables, and amplitude normalization and phase alignment are performed on the results at each point before fusion. It is estimated that multi-point fusion can reduce the measurement standard deviation by approximately 35% under strong wind interference conditions.

[0170] Tests were conducted under both high summer temperatures (up to 48°C) and low winter temperatures (down to -12°C). The cable force value, corrected by the temperature compensation formula, is expected to have an average relative error of less than 1.8% compared with the results from the laboratory standard tension machine.

[0171] In practical applications, closed-loop verification can also be performed. For example, at a bridge construction site, while installing the device of this invention, a calibrated standard tension gauge or vibration measurement device can be deployed on the same cable section. By synchronously collecting data and comparing and analyzing it, the deviation between the cable force inversion result of this invention and the measurement value of the standard instrument can be verified to meet the design requirements.

[0172] In a laboratory environment, the device of this invention can be installed on a standardized vibration table or cable force simulation device. Using known vibration frequency and tension parameters as input conditions, the accuracy and stability of its frequency identification and cable force inversion can be evaluated by comparing them with the measured values ​​output by this invention.

[0173] The above closed-loop verification can be performed during equipment factory inspection, initial on-site installation and commissioning, and periodic calibration, which helps to improve the reliability of the invention in long-term monitoring and user trust.

[0174] In summary, the cable force calculation method and system provided in this application have the following characteristics:

[0175] 1. Multi-source data fusion and adaptive weighting

[0176] The acceleration and angular velocity signals are fused, and the fusion weights are dynamically calculated based on the real-time signal-to-noise ratio (SNR). and It can significantly improve the accuracy and robustness of fundamental frequency identification in low signal-to-noise ratio environments.

[0177] 2. Bending stiffness correction and compensation

[0178] The introduction of the EI (elastic modulus × moment of inertia) correction term into the cable force calculation formula effectively compensates for the inversion error in short cable and high-order mode cases, and improves the calculation accuracy under various working conditions.

[0179] 3. Support score combining harmonic cancellation and frequency doubling.

[0180] A full-band peak detection, harmonic and octave elimination, and support scoring strategy are employed to ensure optimal interpretation capability of the selected fundamental frequency and reduce misjudgments caused by harmonic interference.

[0181] 4. Temperature compensation mechanism

[0182] Introducing a temperature correction model during the data preprocessing stage effectively suppresses frequency drift caused by changes in ambient temperature, thereby improving the stability and consistency of long-term measurements.

[0183] 5. Edge-Cloud Collaborative Computing Architecture

[0184] The edge device enables real-time cable force calculation and output, while the cloud device performs high-precision analysis and trend monitoring. The edge device can operate independently when the network is interrupted, making it suitable for large-scale engineering deployments.

[0185] 6. Engineering adaptability and maintainability

[0186] The sensor module features a modular design, making it suitable for various materials such as steel cables and CFRP cables, facilitating quick replacement, maintenance, and expansion in the field.

[0187] Figure 6 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 6 As shown, the electronic device may include: a processor 610, a communication interface 620, a memory 630, and a communication bus 640, wherein the processor 610, the communication interface 620, and the memory 630 communicate with each other via the communication bus 640. The processor 610 can call logical instructions in the memory 630 to execute a method for calculating the cable force of a stay cable, the method including:

[0188] Acquire multi-source signals from the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0189] The acceleration signal is subjected to frequency domain analysis to determine the acceleration spectrum, and the angular velocity signal is subjected to frequency domain analysis to determine the angular velocity spectrum.

[0190] The acceleration spectrum and the angular velocity spectrum are weighted to calculate the fused spectrum;

[0191] Full-band peak detection is performed on the fused spectrum to determine the support score of the candidate fundamental frequency, and the fundamental frequency signal is determined based on the support score;

[0192] The cable force of the cable to be tested is calculated based on the fundamental frequency signal.

[0193] Furthermore, the logical instructions in the aforementioned memory 630 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, in essence, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods of the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0194] On the other hand, the present invention also provides a computer program product, which includes a computer program that can be stored on a non-transitory computer-readable storage medium. When the computer program is executed by a processor, the computer is able to execute the cable force calculation method for cable stays provided by the above methods, the method including:

[0195] Acquire multi-source signals from the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0196] The acceleration signal is subjected to frequency domain analysis to determine the acceleration spectrum, and the angular velocity signal is subjected to frequency domain analysis to determine the angular velocity spectrum.

[0197] The acceleration spectrum and the angular velocity spectrum are weighted to calculate the fused spectrum;

[0198] Full-band peak detection is performed on the fused spectrum to determine the support score of the candidate fundamental frequency, and the fundamental frequency signal is determined based on the support score;

[0199] The cable force of the cable to be tested is calculated based on the fundamental frequency signal.

[0200] In another aspect, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the cable force calculation method for the cable-stayed bridge provided by the methods described above, the method comprising:

[0201] Acquire multi-source signals from the cable under test, wherein the multi-source signals include at least acceleration signals and angular velocity signals;

[0202] The acceleration signal is subjected to frequency domain analysis to determine the acceleration spectrum, and the angular velocity signal is subjected to frequency domain analysis to determine the angular velocity spectrum.

[0203] The acceleration spectrum and the angular velocity spectrum are weighted to calculate the fused spectrum;

[0204] Full-band peak detection is performed on the fused spectrum to determine the support score of the candidate fundamental frequency, and the fundamental frequency signal is determined based on the support score;

[0205] The cable force of the cable to be tested is calculated based on the fundamental frequency signal.

[0206] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate, and the components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0207] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., including several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods of various embodiments or some parts of embodiments.

[0208] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method of calculating cable force of a stay cable, characterized by, The method comprises: obtaining a plurality of source signals of a cable to be measured, the plurality of source signals comprising at least an acceleration signal and an angular velocity signal; performing frequency domain analysis on the acceleration signal to determine an acceleration frequency spectrum, and performing frequency domain analysis on the angular velocity signal to determine an angular velocity frequency spectrum; weighting the acceleration frequency spectrum and the angular velocity frequency spectrum to calculate a fusion spectrum; performing full-band peak value detection on the fusion spectrum to determine a support score of a candidate fundamental frequency, and determining a fundamental frequency signal based on the support score; calculating a cable force of the cable to be measured based on the fundamental frequency signal; the weighting the acceleration frequency spectrum and the angular velocity frequency spectrum to calculate a fusion spectrum comprises: The edge end first performs a fast Fourier transform (FFT) on the acceleration signal and the angular velocity signal to obtain a power spectral density: and ; selecting an energy of a narrow band integral near a fundamental frequency peak as a main peak power of a signal, and selecting a mean square value of energy of the rest of the frequency bands as a noise power, so as to calculate a signal-to-noise ratio; ， ； , respectively the signal-to-noise ratio of the acceleration and angular velocity signals; According to real-time Computing adaptive fusion weights: ， ； The final fusion profile is: ; dynamically adjusting a contribution ratio of the acceleration and the angular velocity according to real-time signal quality to avoid failure of a fixed weight under a low signal-to-noise ratio condition; the performing full-band peak value detection on the fusion spectrum to determine a support score of a candidate fundamental frequency, and determining a fundamental frequency signal based on the support score comprises: In the fusion spectrum, full-band peak detection is performed, after removing the multiple frequency and harmonic frequency, the support score of each group of candidate fundamental frequency is calculated, and the lowest frequency of the group with the largest support score is selected as the fundamental frequency , comprising: To Perform peak detection to find all candidate frequencies; Multiples are rejected if the following condition is met between candidate frequencies then the multiples are rejected, where is an integer, and the error is < 1%. Support score: ; wherein is the number of peaks, is the total power spectral integral value of the group of frequencies.

2. The stay cable force calculation method according to claim 1, characterized in that, after the obtaining a plurality of source signals of a cable to be measured, the method further comprises: performing preprocessing on the plurality of source signals, the preprocessing comprising synchronous sampling and time sequence alignment processing.

3. The method of claim 1, wherein, the plurality of source signals further comprise current temperature data; after the calculating a cable force of the cable to be measured, the method further comprises: performing temperature compensation on the cable force of the cable to be measured by the following formula: ； wherein, is the compensated cable force value, is the uncompensated cable force value, is the difference between the measured temperature and the calibration temperature, is the temperature correction factor.

4. The method of claim 1, wherein, the calculating a cable force of the cable to be measured based on the fundamental frequency signal comprises: calculating the cable force of the cable to be measured based on the fundamental frequency signal by the following formula: ； wherein, is the cable force, is the elastic modulus, is the cross-sectional moment of inertia, is the correction factor, is the length of the cable to be measured, is the mass per unit length of the cable, is the modal order, is the base frequency signal.

5. The method for calculating the cable force of a stay cable according to any one of claims 1-4, characterized in that, after the calculating a cable force of the cable to be measured based on the fundamental frequency signal, the method further comprises: if the cable force of the cable to be measured exceeds a set threshold range, performing an alarm.

6. A system for calculating cable force of a stay cable, which applies the method for calculating cable force of a stay cable according to any one of claims 1 to 5, characterized by, The method comprises: a signal acquisition module configured to obtain a plurality of source signals of a cable to be measured, the plurality of source signals comprising at least an acceleration signal and an angular velocity signal; a frequency domain analysis module configured to perform frequency domain analysis on the acceleration signal to determine an acceleration frequency spectrum, and perform frequency domain analysis on the angular velocity signal to determine an angular velocity frequency spectrum; a spectrum fusion module configured to weight the acceleration frequency spectrum and the angular velocity frequency spectrum to calculate a fusion spectrum; a fundamental frequency detection module configured to perform full-band peak value detection on the fusion spectrum to determine a support score of a candidate fundamental frequency, and determine a fundamental frequency signal based on the support score; a cable force calculation module configured to calculate a cable force of the cable to be measured based on the fundamental frequency signal.

7. An electronic device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, characterized in that, The processor implements the cable force calculation method according to any one of claims 1-5 when executing the program.

8. A non-transitory computer-readable storage medium storing a computer program, characterized in that, The computer program implements the cable force calculation method according to any one of claims 1-5 when executed by the processor.

Images