An extraterrestrial space cable net displacement reconstruction method based on traveling wave transfer function under a few sample condition

Abstract

The application discloses an extraterrestrial space cable net displacement reconstruction method based on a traveling wave transfer function under a few sample conditions. The full length of the grid cable is regarded as a beam model considering the bending stiffness; at least four vibration sensors are jointly arranged in the easily monitored area close to the cable support point, high-frequency vibration response signals are acquired and converted into the frequency domain; a traveling wave transfer function containing two pairs of reciprocating transmission wave components is constructed, and the independent wave amplitude component of the space cable is reversely solved by using the frequency domain response of the sensor measuring point; and the transverse vibration displacement of the cable at any continuous position of the full length of the cable axis is reconstructed by using the wave amplitude component and the traveling wave transfer function. The application is based on the real analytical solution of the continuous beam transverse vibration model, does not need to spatially discretize the structure, does not need to artificially construct an approximate shape function, is completely decoupled from the global boundary conditions and the topological form of the whole cable net, and can realize the accurate reconstruction of the full cable displacement time history and the global time-varying displacement field only by using the local few sample data near the single cable support point.

Description

Technical Field

[0001] This invention belongs to the field of health monitoring and intelligent measurement and control technology for long-span cable net structures in space, specifically involving a method for reconstructing the displacement of cable nets in extraterrestrial space based on traveling wave transfer function under conditions with few samples. Background Technology

[0002] Cable-net structures in outer space (such as large-aperture deployable mesh reflector antennas for large satellites and cable nets supporting space telescopes) are key load-bearing and profile-maintaining structures for modern deep space exploration and core aerospace equipment. Under the extreme alternating thermal environment of space, micrometeorite impacts, and complex external excitations such as attitude adjustments, cable-net structures are prone to small-amplitude lateral high-frequency vibrations and local deformations. The mechanical displacement and vibration state of each component of the cable net directly determine the accuracy of the antenna's electromagnetic reflection profile, thus directly affecting communication quality and detection accuracy. Therefore, high-precision real-time reconstruction and safety monitoring of the displacement time history of space cable-net structures are crucial.

[0003] However, the large scale, high flexibility, and dense component density of cable-net structures in outer space present significant technical challenges for deformation and displacement monitoring. Current conventional structural deformation monitoring technologies suffer from the following serious drawbacks in space cable-net systems: 1) Monitoring the mid-span area is extremely difficult: At the intersection (support) of the cable net, the sensors are relatively easy to deploy and fix due to the structural connection. However, in the mid-span area of ​​the long-span cable between the two nodes, the cable is extremely thin, highly flexible and suspended. Directly deploying physical sensors here is not only extremely difficult to install, but its own mass will also change the inherent dynamic characteristics of the flexible cable, introducing an additional mass error that cannot be ignored.

[0004] 2) The inherent contradiction between "few samples" and "large scale": The space environment imposes stringent limitations on payload mass, power consumption, and transmission bandwidth, making it impossible to densely deploy sensor measurement points along the entire length of an ultra-large-scale cable net. When using conventional discrete finite element models or artificially constructed polynomials, trigonometric functions, and other "shape functions" for displacement interpolation reconstruction, the reconstruction accuracy will be severely discretized due to the extremely sparse measurement points (few sample conditions), failing to approximate the true continuous deformation of the structure.

[0005] 3) Extremely complex global boundaries and topological relationships: The space cable net is composed of hundreds or thousands of cables coupled together, and its global boundary constraints and geometric topological relationships are extremely complex. Furthermore, boundary slippage or changes may occur during on-orbit deployment. Traditional structural deformation inversion methods rely heavily on precise pre-modeling of global boundary conditions and the overall structure. Once local boundaries degenerate or slip, the overall inversion algorithm will completely fail.

[0006] In view of this, considering the entire cable as a continuous axially tensioned beam model that takes into account bending stiffness, and designing a method that can achieve high-precision displacement reconstruction of any position of continuous global structure without relying on global topology and global boundary conditions, using only a very small number of "small sample" measurement point data in local areas, is a technical bottleneck that urgently needs to be solved in the field of aerospace structural health monitoring. Summary of the Invention

[0007] To overcome at least one of the shortcomings of existing technologies, this invention provides a method for reconstructing the displacement of cable nets in outer space based on traveling wave transfer functions under limited sample conditions. By treating the entire length of the cable net as an axially tensioned beam model considering bending stiffness and establishing a continuous analytical model, the traveling wave transfer function is derived. Based solely on the local limited sample responses of at least four points near the cable nodes, the time-varying displacement field at any continuous location along the entire cable or even the entire structure can be accurately reconstructed.

[0008] To achieve the objective of this invention, this invention provides a method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under conditions with few samples, comprising the following steps: Step 1: Treat the large-scale cables in the extraterrestrial cable net as a beam model considering bending stiffness, establish its transverse vibration wave control equation, and derive the analytical expression of the traveling wave transfer function containing two pairs of reciprocating wave components. Step 2: In the easily monitored local area near the cable net support or node of each cable to be tested, at least four vibration sensors are continuously deployed along the long axis of the cable. Step 3: Use each vibration sensor to synchronously collect the time history response signal of the cable under external environmental excitation, and convert the time history response signal to the frequency domain through Fourier transform to obtain the frequency domain response complex amplitude of each sensor measuring point at different frequencies. Step 4: Substitute the coordinates of the four sensor measurement points and the corresponding complex amplitude of the frequency domain response into the analytical expression of the general solution of the traveling wave transfer function to construct the amplitude identification matrix equation expressed by the response of the four measurement points, and solve it in reverse to obtain four independent theoretical amplitude components. Step 5: Substitute the four theoretical amplitude components obtained by the solution into the general solution of the traveling wave transfer function to directly reconstruct the continuous frequency domain response at any continuous coordinate position along the cable axis. Step 6: Perform an inverse Fourier transform on the reconstructed continuous frequency domain response to obtain the transverse vibration displacement time history at any position along the entire axial length of the cable, and then combine these to construct the spatial time-varying displacement field of the entire cable net structure.

[0009] Furthermore, the governing equation for the transverse vibration fluctuation of the axially tensioned beam considering bending stiffness established in step 1 is as follows:

[0010] In the formula, and These are the elastic modulus and mass density of the beam, respectively. and These are the beam's moment of inertia and cross-sectional area, respectively. The axial tension of the cable; For the cable in axial position ,time Lateral vibration displacement at the location.

[0011] Furthermore, the analytical expression of the traveling wave transfer function derived in step 1 is expressed in the frequency domain as follows:

[0012] In the formula, For position Corresponding angular frequency The frequency domain complex amplitude; and The amplitude component of the propagating wave that is transmitted back and forth; and The amplitude component of the near-field attenuated wave that propagates back and forth; To propagate wavenumber, This is the near-field wave attenuation coefficient; It is the imaginary unit.

[0013] Furthermore, the wavenumber k 1 and attenuation coefficient k The expressions for 2 are as follows:

[0014]

[0015] In the formula , , which are the physical coefficients after adjustment; This indicates the propagation speed of longitudinal waves in the beam. Indicates the radius of rotation of the beam cross section.

[0016] Furthermore, the amplitude identification matrix equation constructed in step 4 is as follows:

[0017] In the formula, x 1. x 2. x 3. x 4 represents the known coordinate positions of the four sensor measuring points along the cable axis; , , , The frequency obtained in step 3 The complex amplitude of the frequency domain response at the four known coordinate positions below, where n Indicates the first n Each frequency.

[0018] Furthermore, the theoretical amplitude vector in step 4 , , and Angular frequency The following is a constant value applicable to any position along the entire cable length.

[0019] Furthermore, combining the analytical expression of the traveling wave transfer function derived in step 1 and the theoretical wave amplitude vector in step 4... , , and The angular frequency in step 5 can then be obtained. Continuous coordinates along any axis below x target Continuous frequency domain response complex amplitude .

[0020] Furthermore, in steps 5 and 6, the displacement time history reconstruction process of the continuous coordinates of any axis along the entire length of a single mesh cable is completely independent of the boundary condition constraint form at both ends of the cable and the global topological geometry of the entire cable net structure.

[0021] Furthermore, in step 2, the specific range of the locally easily monitored area is determined by the characteristic attenuation length of the near-field attenuated wave. The axial interval is determined to be 3 units from the fulcrum or node. L c ~5 L c Within this range, it is ensured that more than four sensors can simultaneously and effectively capture the propagating wave and near-field attenuated wave components, ensuring that the amplitude identification matrix is ​​full rank.

[0022] Furthermore, in step 2, the axial spacing between each pair of the four vibration sensors is based on the pre-calculated theoretical shortest wavelength. ( The maximum bending wave velocity is calculated based on the cable net structure parameters and the conventional vibration frequency. The calculation method is described in [link to calculation]. k 1 and k The calculation formula for 2) is set with non-equal or equal spacing to ensure that the coefficient matrix of the amplitude identification matrix equation is non-singular and the condition number is in the convergent closed-loop interval: the axial distance Δ between any two sensors x Should be smaller .

[0023] Furthermore, the vibration sensor includes at least one of a piezoelectric accelerometer, a fiber optic grating vibration sensor, or a non-contact laser vibration meter.

[0024] The present invention also provides an extraterrestrial cable net displacement reconstruction system based on traveling wave transfer function under conditions of few samples.

[0025] The present invention also provides a computer-readable storage medium.

[0026] Compared with the prior art, the beneficial effects of the present invention are: 1. This invention departs from traditional finite element spatial discretization methods and eliminates the need for manually constructing approximate geometric functions. The reconstruction process is entirely based on the continuous true analytical solution of the governing equations of the axially tensioned beam. The traveling wave transfer function in the wave model naturally encompasses the physical essence of energy transfer and vibration deformation within the cable, thus achieving extremely high accuracy in reconstructing the full-length deformation and perfectly restoring the true continuous deformation morphology of the component.

[0027] 2. The method of this invention has the significant characteristic of "local measurement points, global reconstruction". When solving the four amplitude components of the tension beam model, although only the wave response information of local measurement points near the supports is used, the transmission and reflection of the traveling wave along the entire beam length have already been analyzed by the global equations. Therefore, this method does not need to know or consider the complex constraint boundary conditions at both ends of the cable, nor does it need to consider the global geometric topology of the entire cable net structure. This gives the algorithm extremely strong resistance to boundary disturbances.

[0028] 3. This invention addresses the blind spots in the cable net's mid-span area where measuring points are difficult to deploy. All four sensors are centrally deployed in an easily monitored area near the fulcrum, enabling precise reconstruction of the lateral displacement time history of the entire length and even the mid-span suspended blind spots far from the fulcrum. This design significantly reduces the number of sensors and the overall payload, fully complying with the core design principles of low power consumption and lightweight design for deep space probes. Attached Figure Description

[0029] Figure 1 This is a schematic diagram of the extraterrestrial cable net structure in an embodiment of the present invention; Figure 2 A mechanical model diagram of an axially tensioned beam considering bending stiffness, established for an embodiment of the present invention; Figure 3 This is a schematic diagram of the cable measuring point layout in an embodiment of the present invention; Figure 4 The overall computational architecture flowchart of the few-sample spatial cable net displacement reconstruction method of the present invention is shown in the figure. Detailed Implementation

[0030] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0031] This invention discloses a method for reconstructing displacement of cable nets in extraterrestrial space under limited sample conditions based on traveling wave transfer function. Addressing the challenges of large spans and extreme difficulty in monitoring the mid-span region of cable net structures in extraterrestrial space, the method's specific steps mainly include: establishing an axially tensioned beam model considering the entire cable length as bending stiffness; deriving the general solution of the traveling wave transfer function for the wave equation of the tensioned beam model; deploying multiple sensors in easily monitored areas near the cable's support to acquire local limited sample vibration signals; inversely solving the reciprocating wave amplitude components using the identification matrix equation; and directly reconstructing the continuous time-varying displacement field at any position of the entire cable using the continuous physical true solution.

[0032] Figure 1 The extraterrestrial space structure shown comprises two parts: a supporting truss and a cable net. The connection point between the cable net structure and the supporting truss is called the fulcrum, and the area away from the fulcrum is called the mid-span suspended zone. The principle of this embodiment of the invention is: utilizing... Figure 1 The large-scale cable-net structure shown presents spatial characteristics where "deformation monitoring in the mid-span suspended area is difficult, while local measurement at the support nodes is relatively easy." Therefore, the entire cable member is treated as a continuous axially tensioned beam physical model over its entire length. The continuous analytical solution of its fourth-order dynamic differential control equation is used as a natural interpolation function, thus completely eliminating dependence on spatial discretization and artificial geometric functions. By rationally deploying four vibration sensors in the local region near the support to meet the completeness solution conditions of the fourth-order matrix equation, and utilizing the physical laws of wave component propagation, phase shift, and reflection throughout the beam space, an amplitude identification relationship relying only on local, few-sample responses is constructed. Since the amplitude components throughout the entire axially tensioned beam model completely encompass all dynamic and boundary physical characteristics of the overall structure, this method can perfectly achieve complete decoupling from the complex global boundary conditions and the overall cable-net topology. Accurate online reconstruction of the displacement of any continuous coordinate along the entire cable length and the global dynamic displacement field of the cable-net can be achieved using only local, few-sample information.

[0033] In detail, such as Figure 4 As shown in the figure, the method for reconstructing the displacement of a cable net in outer space based on the traveling wave transfer function under few sample conditions proposed in this embodiment of the invention includes the following steps: Step 1: Put Figure 2The large-scale cables in the extraterrestrial cable net shown are considered as axially tensioned beams with bending stiffness. The transverse vibration wave control equation of the beam is established, and the general solution of the traveling wave transfer function of the entire cable is obtained based on the transverse vibration wave control equation.

[0034] This step includes the following sub-steps: Step 11: Due to the bending stiffness of the spatial cable net body The propagation of high-frequency transverse elastic waves has a non-negligible dispersion modulation effect. Therefore, in this embodiment of the invention, the entire grid cable under test is regarded as a physical model of an axially tensioned beam considering bending stiffness. Its partial differential governing equation (i.e., the transverse vibration wave governing equation of the beam) is expressed over the entire length of the cable as follows:

[0035] In the formula, and These are the elastic modulus and mass density of the beam, respectively. and These are the beam's moment of inertia and cross-sectional area, respectively. The axial tension of the cable; For the cable in axial position ,time Lateral vibration displacement at the location.

[0036] Step 12: Transform the above beam transverse vibration control equation into the frequency domain for solution, and obtain the solution of the bending wave transfer function in the frequency domain:

[0037] In the formula, For position Corresponding angular frequency The frequency domain complex amplitude; and The amplitude component of the propagating wave that is transmitted back and forth; and The amplitude component of the near-field attenuated wave that propagates back and forth; To propagate wavenumber, This is the near-field wave attenuation coefficient; It is the imaginary unit.

[0038]

[0039]

[0040] In the formula , , which are the physical coefficients after adjustment; This indicates the propagation speed of longitudinal waves in the beam. Indicates the radius of rotation of the beam cross section.

[0041] Step 2: In the easily monitored local area near the cable net support or node of each cable to be tested, four or more vibration sensors are continuously deployed along the long axis of the cable.

[0042] Since the flexural wave transfer function contains four unknown amplitude components, vibration signals from at least four different locations are required.

[0043] In one embodiment, such as Figure 3 The illustrated localized, low-sample measurement point layout involves installing four miniature vibration sensors (such as piezoelectric accelerometers, fiber optic grating vibration sensors, or non-contact laser vibrometers) continuously along the long axis of each cable within a locally easily monitored area near the cable net support (node). The specific range of this locally easily monitored area is determined by the characteristic attenuation length of the near-field attenuated wave. The axial interval is determined to be 3 units from the fulcrum or node. ~5 Within this range, it is ensured that more than four sensors can simultaneously and effectively capture the propagating wave and near-field attenuated wave components, ensuring that the amplitude identification matrix is ​​full rank.

[0044] Step 3: Frequency domain signal acquisition. At least four vibration sensors are used to synchronously acquire the time history response signal of the cable under external environmental excitation, and the time history response signal is converted to the frequency domain through Fourier transform to obtain the complex amplitude of the frequency domain response at different frequencies of each sensor measuring point.

[0045] The known major axis physical coordinates of the four vibration sensors are respectively marked as follows: x 1. x 2. x 3. x 4. When the cable is subjected to complex external excitation, four vibration sensors synchronously capture the small-amplitude elastic wave vibration response within the easily monitored local area at high frequency, outputting time-history response signals from four channels. The data processing terminal demodulates the time-history response signals to the frequency domain in real time using Fast Fourier Transform (FFT) to obtain the corresponding circular frequency. The complex amplitude of the frequency domain response at each local measurement point is denoted as... , , , ,in Indicates the first Each frequency. The axial spacing between each pair of the four vibration sensors is based on a pre-calculated theoretical shortest wavelength. ( The maximum bending wave velocity is calculated based on the cable net structure parameters and the conventional vibration frequency. The calculation method is described in [link to calculation]. k 1 and kThe calculation formula for 2) is set to be either non-equal or equal spacing to ensure that the subsequent identification matrix is ​​non-singular and the condition number is in the convergent closed-loop interval: the axial distance Δ between any two vibration sensors. x Less than .

[0046] Step 4: Reverse calculation of independent amplitude components. Substitute the coordinates of the four sensor measurement points and the corresponding measured frequency domain response complex amplitudes into the analytical expression of the traveling wave transfer function of the axially tensioned beam model. Based on the mathematical completeness condition, construct a system of fourth-order complex linear algebraic equations to solve for the four unknown amplitude components, i.e., the amplitude identification matrix equation:

[0047] The data processing terminal solves the amplitude identification matrix equation to directly determine the current angular frequency. Four key amplitude values ​​(theoretical amplitude vectors) that are transmitted back and forth within the entire lower cable. , , and .

[0048] Theoretical amplitude vector , , and For frequency The following is a constant value applicable to any position along the entire cable length.

[0049] Step 5: Continuous full-length displacement reconstruction. Substitute the four key wave amplitude values ​​obtained by the solution into the analytical expression of the traveling wave transfer function to directly reconstruct the continuous frequency domain response at any continuous coordinate position along the axial direction of the cable.

[0050] Because the four independent amplitude components are constant values ​​with global analytical consistency, they naturally encompass all dynamic characteristics along the entire length of the cable (including the mid-span suspension blind zone where sensors cannot be deployed). This allows for the reconstruction of arbitrary coordinate positions along the entire axial length of the cable. x target During dynamic deformation, the general solution of the traveling wave transfer function derived in step 1 and the constant theoretical amplitude vector calculated in step 4 are combined. , , and This allows for direct analytical calculation of any position. Continuous frequency domain response complex amplitude Furthermore, it does not require discretization of the mesh or approximate interpolation.

[0051] Step 6: Reconstruction of continuous full-length displacement and synthesis of time-varying displacement field. Perform inverse Fourier transform on the continuous frequency domain response obtained from the reconstruction to obtain the time history of transverse vibration displacement at any position along the entire axial length of the cable. Based on this, construct the spatial time-varying displacement field of the entire cable net structure.

[0052] The reconstructed continuous frequency domain response is subjected to inverse fast Fourier transform (IFFT) to reconstruct the lateral vibration displacement time history at any coordinate position of the entire cable without loss and with high accuracy. This reconstruction process is completely independent of the boundary conditions at both ends of the cable and the global topological geometry of the entire cable net structure. Finally, the displacement reconstruction results of all individual cables in the cable net system are spatially geometrically aligned and combined in the digital twin space, which can ultimately be dynamically synthesized into a three-dimensional full-field time-varying dynamic displacement field of the entire spatial cable net surface, realizing high-fidelity intelligent reconstruction of the continuous deformation of the extraterrestrial flexible cable net surface.

[0053] The displacement time history reconstruction process for the continuous coordinates of any axis along the entire length of a single cable grid is completely independent of the boundary condition constraints at both ends of the cable and the global topological geometry of the entire cable grid structure.

[0054] The method of this invention is based on the true analytical solution of the transverse vibration model of a continuous beam. It does not require spatial discretization of the structure or the artificial construction of approximate shape functions. It has high inversion accuracy and is completely decoupled from the global boundary conditions and topology of the entire cable network. It can accurately reconstruct the displacement time history of the entire cable and the global time-varying displacement field using only a small number of local sample data near the support point of a single cable.

[0055] In one embodiment, an extraterrestrial cable net displacement reconstruction system based on traveling wave transfer function under few-sample conditions is provided, comprising: A vibration sensor group is deployed in the local area near the support point of each cable of the cable net. The vibration sensor group includes four vibration sensors discretely distributed along the cable axis. A high-frequency data acquisition unit that is electrically connected to the vibration sensor group; The data processing terminal, which integrates the method described in the foregoing embodiments, treats the entire cable as a beam transverse vibration model considering bending stiffness, and establishes a traveling wave transfer function model based on the continuous analytical solution of the model. It calculates the four amplitude components of the entire cable length based on the local frequency domain data transmitted from the high-frequency data acquisition unit, and then reconstructs and outputs the continuous time-varying displacement field of the entire cable.

[0056] In one embodiment, a computer-readable storage medium is provided, the computer-readable storage medium storing a computer program that, when executed by a processor, implements the steps of the method described in the foregoing embodiments.

[0057] The system and medium described herein have the same technical effects as those achieved by the methods described in the foregoing embodiments.

[0058] The above description is only a preferred embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any equivalent substitutions or modifications made by those skilled in the art within the scope of the technology disclosed in the present invention, based on the technical solution and inventive concept of the present invention, should be covered within the scope of protection of the present invention.

Claims

1. A method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under conditions of few samples, characterized in that, Includes the following steps: The large-scale cables in the extraterrestrial cable net are regarded as axially tensioned beams considering bending stiffness. The control equation for the transverse vibration of the beam is established, and the analytical expression of the traveling wave transfer function containing two pairs of reciprocating wave components is derived. The vibration sensor group synchronously collects the time history response signal of the cable under external environmental excitation, and converts the time history response signal to the frequency domain through Fourier transform to obtain the frequency domain response complex amplitude of each sensor measuring point at different frequencies. The vibration sensor group includes at least four vibration sensors continuously deployed along the long axis of the cable in a local easily monitored area near the cable net support or node of each cable under test. Substitute the coordinates of each sensor measurement point and the corresponding complex amplitude of the frequency domain response into the analytical expression of the general solution of the traveling wave transfer function to construct the amplitude identification matrix equation expressed by the responses of the four sensor measurement points, and solve it in reverse to obtain four independent theoretical amplitude components. Substituting the four theoretical amplitude components obtained from the solution into the analytical expression of the traveling wave transfer function, the continuous frequency domain response at any continuous coordinate position along the axial direction of the cable is reconstructed. The inverse Fourier transform of the reconstructed continuous frequency domain response is performed to obtain the transverse vibration displacement time history at any position along the entire axial length of the cable. Based on this, the spatial time-varying displacement field of the entire cable net structure is constructed.

2. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 1, characterized in that, The governing equation for the transverse vibration of a beam considering its bending stiffness is: In the formula, and These are the elastic modulus and mass density of the beam, respectively. and These are the beam's moment of inertia and cross-sectional area, respectively. The axial tension of the cable; For the cable in axial position ,time Lateral vibration displacement at the location.

3. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 1, characterized in that, The analytical expression of the traveling wave transfer function in the frequency domain is: In the formula, For position Corresponding angular frequency The frequency domain complex amplitude; and The amplitude component of the propagating wave that travels back and forth; and The amplitude component of the near-field attenuated wave that propagates back and forth; To propagate wavenumber, This is the near-field wave attenuation coefficient; It is the imaginary unit.

4. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 1, characterized in that, The amplitude identification matrix equation is: In the formula, , , , The known coordinates of the four sensor measuring points along the cable axis; , , , For frequency The complex amplitude of the frequency domain response at the four known coordinate positions below. Indicates the first Each frequency.

5. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 4, characterized in that, Theoretical amplitude vector , , and For frequency The following is a constant value applicable to any position along the entire cable length.

6. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 1, characterized in that: By combining the analytical expression of the general solution of the traveling wave transfer function and the theoretical wave amplitude vector, the frequency can be obtained. Continuous coordinates along any axis below Continuous frequency domain response complex amplitude .

7. The method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions as described in claim 1, characterized in that: The specific range of the locally easily monitored area is determined by the characteristic attenuation length of the near-field attenuated wave. Decide, This is the near-field wave attenuation coefficient.

8. A method for reconstructing cable net displacement in extraterrestrial space based on traveling wave transfer function under few sample conditions, as described in any one of claims 1-7, characterized in that: The axial spacing between any two vibration sensors is based on the pre-calculated theoretical shortest wavelength. Set non-equal spacing or equal spacing. Maximum bending wave velocity: Δ between any two vibration sensors x Should be smaller .

9. A cable-net displacement reconstruction system for extraterrestrial space based on traveling wave transfer function under few sample conditions, characterized in that, include: Vibration sensor arrays are deployed in local areas near the support points of each cable in the cable net to capture local vibration response signals from a small sample. A high-frequency data acquisition unit is used to connect to the vibration sensor group via electrical signals; A data processing terminal is configured to perform the steps of the method according to any one of claims 1-8.

10. A computer-readable storage medium storing a computer program, characterized in that, When the computer program is executed by a processor, it implements the steps of the method according to any one of claims 1-8.

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