A method and device for controlling shell vibration dispersion of an MFC piezoelectric actuator

Abstract

The present invention provides a method and device for decentralized control of shell vibration of an MFC piezoelectric actuator. The method comprises: S1, embedding the MFC piezoelectric actuator in a shell to obtain data parameters; S2, obtaining a differential equation based on the data parameters, and converting the differential equation into a state-space equation; S3, performing a linear transformation on the state-space equation and state vector to obtain a transformed equation and vector; S4, performing expansion-decoupling-contraction based on the inclusion principle to obtain an expanded system; S5, extracting two overlapping substructures of the substructure from the expanded system, performing decentralized control design of shell vibration on the overlapping substructures, and obtaining performance indicators; S6, using mathematical software to calculate the state feedback gain matrix of the overlapping substructures, and performing decentralized vibration control on the shell. By adopting a decentralized control method, the present invention improves the vibration characteristics of the shell and enhances the stability of control.

Description

Technical Field

[0001] The present invention belongs to the technical field of shell vibration dispersion control, and in particular to a shell vibration dispersion control method and device for an MFC piezoelectric actuator. Background Art

[0002] Casings are widely used in the aerospace industry, serving as the outer shells of various aircraft, spacecraft, rockets, and missiles, as well as supporting internal components. In the marine engineering and shipbuilding industries, these hull structures are subject to a variety of external forces, such as wind, shock, waves, earthquakes, aerodynamic forces, and vibration, depending on the operating environment. Because these external loads severely impact equipment efficiency, the hull structures of many mechanical devices are easily damaged and scrapped due to these vibrations, resulting in significant losses to industrial production. Therefore, in-depth research on the vibration characteristics of hull structures can help reduce vibration and noise in related equipment, which is of great research significance.

[0003] Most of the existing shells use piezoelectric ceramic sheet materials as shell materials. Traditional piezoelectric ceramic sheet materials have many defects. For example, they are prone to brittle fracture, require special care when handling and welding, and cannot be used in situations with large strains. During long-term use, tiny cracks are prone to appear inside the piezoelectric ceramics, reliability is reduced, and it is difficult to stick them on structures with curved surfaces. These shortcomings of piezoelectric ceramic sheets also limit the widespread application of piezoelectric ceramics. In view of this reason, MFC piezoelectric fiber composite materials came into being. By combining the excellent properties of piezoelectric ceramic materials with other structural materials, an integral actuator or sensor is formed, which makes up for the shortcomings of single-layer piezoelectric ceramic sheets. Based on the advantages of piezoelectric composite materials, MFC has also been widely used.

[0004] Casing structures used across various industries are subject to a variety of external forces, such as wind, shock, waves, earthquakes, aerodynamic forces, and vibration, depending on the operating environment. These external loads severely impact equipment efficiency, and the casing structures of many mechanical devices are easily damaged and scrapped due to these vibrations, resulting in significant losses to industrial production. Therefore, in-depth research on the vibration characteristics of casing structures is crucial for reducing vibration and noise in related equipment.

[0005] In view of this, the present invention is proposed. Summary of the Invention

[0006] The present invention discloses a method and device for controlling the shell vibration of an MFC piezoelectric actuator. The method of the present invention combines decentralized control theory with finite element analysis to facilitate vibration control estimation during the shell design phase, thereby improving analysis efficiency. By adopting a decentralized control method, the vibration characteristics of the shell are improved, thereby enhancing control stability.

[0007] Specifically, the present invention is achieved through the following technical solutions:

[0008] In a first aspect, the present invention discloses a method and device for controlling the vibration dispersion of a housing of an MFC piezoelectric actuator, comprising the following steps:

[0009] S1. Embed the MFC piezoelectric actuator into a housing, apply a force to the housing, and perform a finite element model analysis on the housing to obtain experimental data parameters;

[0010] S2. Obtaining a vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converting the vibration control differential equation into a state space equation form;

[0011] S3, dividing the shell into substructures, and performing linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector, and a substructure transformed state equation;

[0012] S4, based on the inclusion principle, the transformation state space equation, the transformation state vector and the substructure transformation state equation are expanded, decoupled and contracted to obtain an extended system;

[0013] S5. extracting two-by-two overlapping substructures of the substructure from the extended system, performing decentralized control design of shell vibration on the overlapping substructures, and obtaining a quadratic performance indicator in the output regulator problem;

[0014] S6. Apply mathematical software to calculate the overlapping substructure state feedback gain matrix, and calculate the magnitude of the control torque generated during the application of the force through the gain matrix, so as to perform vibration dispersion control on the shell.

[0015] The shell of the present invention can be the outer shell of various aircraft, spacecraft, rockets and missiles in the aerospace field, as well as the carrier of some internal devices, or these shell structures used in various industries in the fields of marine engineering and shipbuilding.

[0016] In step S1 of the present invention, by arranging an MFC ply in the middle layer of the shell and applying a force to the shell, a control torque can be generated on the shell, and the purpose of controlling the vibration characteristics is achieved by applying the control torque to the shell.

[0017] The method of the present invention utilizes the LQR algorithm from control theory to equate the housing vibration decentralized control problem to an output regulator problem. By applying a decentralized control method that applies a control torque, the LQR algorithm from control theory is combined with finite element model analysis to achieve the goal of controlling the housing vibration characteristics.

[0018] Furthermore, in the step S1, the experimental data parameters include the stiffness matrix, mass matrix, damping matrix of the shell, all displacement coordinate column vectors in the finite element model, the number of control moments and the application position of each control moment.

[0019] Specifically, in step S4, the process of expanding, decoupling, and contracting the original system is as follows:

[0020] Original system Expanding the system in

[0021] x=[x1(t),x2(t),x3(t)] T

[0022] The states contained in the three subsystems are x1(t), x2(t), and x3(t), and the states contained in the two substructures are x1(t), x2(t) and x2(t), x3(t).

[0023]

[0024] Introducing the extended matrix V, R, U, Q and the compensation matrix

[0025]

[0026]

[0027]

[0028] Where I represents the identity matrix, the subscript nj indicates that the dimension of the j-th system state partition is n, and mk indicates that the dimension of the k-th system state partition is m.

[0029] Then the state vector, state matrix and actuator position matrix of the extended system can be obtained

[0030]

[0031]

[0032]

[0033] This method is generally used for decentralized control of power systems. For the structure, all elements in the matrix except the block are zero, then the block diagonal matrix can be Extract substructures 1 and 2 in the decoupled state to set the controller.

[0034] Furthermore, the vibration control differential equation of the finite element model of the shell in step S2 is:

[0035]

[0036] Where M, K, and C are the mass matrix, stiffness matrix, and damping matrix of the shell respectively;

[0037] q(t)=[q1(t),q2(t),q3(t)……q n (t)] T (2)

[0038] q(t) is the total displacement coordinate column vector in the finite element model, the number of degrees of freedom of the finite element model is n, u(t) is the p×1-dimensional control torque vector, w(t) is the m×1-dimensional external excitation vector, the external excitation is the hydrodynamic load, T u is the n×p dimensional control torque positioning matrix, T w is the external excitation positioning matrix of n×m dimensions;

[0039] The vibration control differential equation (1) is transformed into the state space equation:

[0040]

[0041] And the state vector of the finite element model:

[0042]

[0043] Furthermore, in the step S3, if the shell is divided into N substructures, the i-th substructure contains Ni degrees of freedom, and a transformation matrix Tr can be introduced according to the requirements so that

[0044] x(t)=T r x I (t) (5)

[0045] Thus we obtain the transformation state vector:

[0046]

[0047] x i Contains the transformed state vector of the i-th substructure;

[0048]

[0049] The transformation state space equation is:

[0050]

[0051] in:

[0052] A=T r A I T r -1 B=T r B I E=T r E I

[0053] Furthermore, in the step S4, the expansion system is:

[0054]

[0055] in

[0056]

[0057]

[0058]

[0059] Furthermore, in the step S5, in the output regulator problem, the performance index is taken as a quadratic form as follows:

[0060]

[0061] Among them, Q and R are adjustment parameters.

[0062] Furthermore, in step S5, the method for designing decentralized control of housing vibration includes:

[0063] The LQR algorithm in control theory is adopted, and based on the optimal control theory of the output regulator, decentralized control design of the housing vibration is performed.

[0064] In a second aspect, the present invention discloses a housing vibration dispersion control device for an MFC piezoelectric actuator, comprising:

[0065] Data parameter acquisition module: embed the MFC piezoelectric actuator into the shell, apply force to the shell, and perform finite element model analysis on the shell to obtain experimental data parameters;

[0066] Equation calculation and conversion module: obtains the vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converts the vibration control differential equation into a state space equation form;

[0067] Linear transformation module: divides the shell into substructures and performs linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector and a substructure transformed state equation;

[0068] An expansion-decoupling-contraction module: based on the inclusion principle, the transformation state space equation and the transformation state vector are expanded-decoupled-contracted to obtain an expanded system;

[0069] Overlapping subsystem extraction and design module: extracts the pairwise overlapping substructures of the substructure from the extended system, performs decentralized control design of the shell vibration on the overlapping substructures, and obtains quadratic performance indicators in the output regulator problem;

[0070] Shell decentralized control module: Mathematical software is used to calculate the overlapping substructure state feedback gain matrix, and the magnitude of the control torque generated during the application of the force is calculated through the gain matrix, thereby performing vibration decentralized control on the shell.

[0071] In a third aspect, the present invention discloses a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the shell vibration dispersion control method as described in the first aspect.

[0072] In a fourth aspect, the present invention discloses a computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the steps of the shell vibration dispersion control method as described in the first aspect are implemented.

[0073] Compared with the prior art, the present invention has the following beneficial effects:

[0074] The present invention proposes a method and device for decentralized vibration control of an MFC piezoelectric actuator housing. This method combines decentralized control theory with finite element analysis, facilitating vibration control estimation during the housing design phase and improving analysis efficiency. The decentralized control approach improves the housing's vibration characteristics and enhances control stability. Utilizing the LQR algorithm from control theory, the decentralized vibration control problem of the housing is equated to an output regulator problem. This decentralized control approach, which applies a control torque, combines the LQR algorithm from control theory with finite element analysis to achieve the goal of controlling the housing's vibration characteristics. BRIEF DESCRIPTION OF THE DRAWINGS

[0075] Various other advantages and benefits will become apparent to those skilled in the art upon reading the detailed description of the preferred embodiment below. The accompanying drawings are for illustration purposes only and are not to be considered as limiting the present invention. The same reference symbols are used throughout the drawings to represent the same components. In the drawings:

[0076] Figure 1 A schematic flow chart of a decentralized control method for housing vibration control of an MFC piezoelectric actuator provided by an embodiment of the present invention;

[0077] Figure 2 A schematic structural diagram of a shell finite element model provided in an embodiment of the present invention;

[0078] Figure 3 A schematic diagram of the distribution of the housing substructure provided by an embodiment of the present invention;

[0079] Figure 4 A schematic diagram of a decentralized control device for controlling housing vibration of an MFC piezoelectric actuator provided by an embodiment of the present invention;

[0080] Figure 5 A schematic diagram of the displacement response at the maximum displacement of the shell structure with and without vibration control provided by an embodiment of the present invention;

[0081] Figure 6 A schematic structural diagram of a computer device provided in an embodiment of the present invention. DETAILED DESCRIPTION

[0082] The technical solutions of the present invention will be described clearly and completely below in conjunction with the accompanying drawings and specific embodiments. However, those skilled in the art will understand that the embodiments described below are only some embodiments of the present invention, not all embodiments, and are only used to illustrate the present invention and should not be regarded as limiting the scope of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative work are within the scope of protection of the present invention.

[0083] In order to more clearly illustrate the technical solutions of the present invention, specific embodiments are provided below for illustration.

[0084] See Figure 1 As shown, the present invention discloses a housing vibration dispersion control method for an MFC piezoelectric actuator, comprising the following steps:

[0085] S1. Embed the MFC piezoelectric actuator into a housing, apply a force to the housing, and perform a finite element model analysis on the housing to obtain experimental data parameters;

[0086] S2. Obtaining a vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converting the vibration control differential equation into a state space equation form;

[0087] S3, dividing the shell into substructures, and performing linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector, and a substructure transformed state equation;

[0088] S4, based on the inclusion principle, the transformation state space equation, the transformation state vector and the substructure transformation state equation are expanded, decoupled and contracted to obtain an extended system;

[0089] S5. extracting two-by-two overlapping substructures of the substructure from the extended system, performing decentralized control design of shell vibration on the overlapping substructures, and obtaining a quadratic performance indicator in the output regulator problem;

[0090] S6. Apply mathematical software to calculate the overlapping substructure state feedback gain matrix, and calculate the magnitude of the control torque generated during the application of the force through the gain matrix, so as to perform vibration dispersion control on the shell.

[0091] Specifically, for a certain type of shell, its finite element model can be found in Figure 2 As shown, the model adopts a shell structure with a height of mm and a width of mm at the bottom. The lower end is fixed. An MFC piezoelectric actuator is embedded in the shell, and the top of the shell is subjected to a vertical downward excitation of F = 1000 × sin (2.5 × t), with the unit being N. Figure 3 As shown in the figure, the vibration without control and the vibration with LQR decentralized control are set respectively. In the LQR control, the weight coefficients Q and R of the three substructures are set to unit matrices of different dimensions. The structure is filled with MFCs, and the displacement response of the shell structure at the maximum displacement when the vibration control is incorrect is obtained, as shown in the figure. Figure 4 shown.

[0092] In the specific operation, the shell model is first subjected to a finite element Motet analysis in ANSYS to obtain the shell's stiffness matrix, mass matrix, damping matrix, and all displacement coordinate column vectors in the finite element model. An MFC ply is set in the middle layer of the shell to generate a control torque on the shell. The purpose of controlling the vibration characteristics is achieved by applying a control torque to the shell; and the number of control torques, the application position of each control torque, and the magnitude of the force in all control torques are determined to form a column vector; based on the obtained stiffness matrix, mass matrix, damping matrix, and all displacement coordinate column vectors and the determined number and position of the control torque, the vibration control differential equation of the shell is obtained; specifically, the vibration control differential equation of the finite element model of the shell is:

[0093]

[0094] Where M, K, and C are the mass matrix, stiffness matrix, and damping matrix of the shell respectively;

[0095] q(t)=[q1(t),q2(t),q3(t)……q n (t)] T (2)

[0096] q(t) is the total displacement coordinate column vector in the finite element model, the number of degrees of freedom of the finite element model is n, u(t) is the p×1-dimensional control torque vector, w(t) is the m×1-dimensional external excitation vector, the external excitation is the hydrodynamic load, T u is the n×p dimensional control torque positioning matrix, T w is the external excitation positioning matrix of n×m dimensions;

[0097] Rewrite the vibration control differential equation of the finite element model of the shell into the standard state space equation representation:

[0098] And the state vector of the finite element model:

[0099]

[0100] According to the obtained state space equation, the shell is divided into substructures, and the state space equation and the state vector are linearly transformed to obtain the transformed state space equation, the transformed state vector and the substructure transformed state equation;

[0101] If the shell is divided into N substructures, the i-th substructure contains Ni degrees of freedom. A transformation matrix Tr can be introduced according to the requirements so that

[0102] x(t)=T r x I (t) (5)

[0103] Thus we obtain the transformation state vector:

[0104]

[0105] x i Contains the transformed state vector of the i-th substructure;

[0106]

[0107] The transformation state space equation is:

[0108]

[0109] in:

[0110] A=T r A I T r -1B=T r B I E=T r E I

[0111] Based on the inclusion principle, the transformation state space equation, transformation state vector and substructure transformation state equation are expanded, decoupled and contracted to obtain an extended system.

[0112] Specifically, the expansion system is:

[0113]

[0114] in

[0115]

[0116]

[0117]

[0118] Pairwise overlapping substructures are extracted from the extended system. The LQR algorithm from control theory is used to design decentralized control of the shell vibration of the overlapping substructures based on the optimal control theory of the output regulator. The quadratic performance index is obtained in the output regulator problem:

[0119]

[0120] Among them, Q and R are adjustment parameters.

[0121] Apply general commercial mathematical software, such as MATLAB, to calculate the state feedback gain matrix G of the i-th substructure i The magnitude of the control torque generated during the application of the force is calculated through the gain matrix, thereby performing vibration dispersion control on the shell.

[0122] See Figure 5 As shown, Figure 5 An embodiment of the present invention provides a housing vibration dispersion control device for an MFC piezoelectric actuator, comprising:

[0123] Data parameter acquisition module: embed the MFC piezoelectric actuator into the shell, apply force to the shell, and perform finite element model analysis on the shell to obtain experimental data parameters;

[0124] Equation calculation and conversion module: obtains the vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converts the vibration control differential equation into a state space equation form;

[0125] Linear transformation module: divides the shell into substructures and performs linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector and a substructure transformed state equation;

[0126] An expansion-decoupling-contraction module: based on the inclusion principle, the transformation state space equation and the transformation state vector are expanded-decoupled-contracted to obtain an expanded system;

[0127] Overlapping subsystem extraction and design module: extracts the pairwise overlapping substructures of the substructure from the extended system, performs decentralized control design of the shell vibration on the overlapping substructures, and obtains quadratic performance indicators in the output regulator problem;

[0128] Shell decentralized control module: Mathematical software is used to calculate the overlapping substructure state feedback gain matrix, and the magnitude of the control torque generated during the application of the force is calculated through the gain matrix, thereby performing vibration decentralized control on the shell.

[0129] The device is mainly composed of the above six modules, and the purpose of being able to simultaneously mount and operate on the same file system is well achieved through the construction of the device.

[0130] In specific implementation, the above modules can be implemented as independent entities, or can be arbitrarily combined and implemented as the same or several entities. The specific implementation of the above units can be found in the previous method embodiments and will not be repeated here.

[0131] Figure 6 This is a schematic diagram of the structure of a computer device disclosed in the present invention. Figure 6 As shown, the computer device 400 includes at least a memory 402 and a processor 401; the memory 402 is connected to the processor via a communication bus 403, and is used to store computer instructions executable by the processor 401, and the processor 301 is used to read computer instructions from the memory 402 to implement the steps of the shell vibration control dispersion method described in any of the above embodiments.

[0132] For the above-mentioned device embodiments, since they basically correspond to the method embodiments, the relevant parts can be referred to the partial description of the method embodiments. The device embodiments described above are merely illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the modules can be selected according to actual needs to achieve the purpose of the disclosed solution. A person of ordinary skill in the art can understand and implement it without paying any creative work.

[0133] Computer-readable media suitable for storing computer program instructions and data include all forms of non-volatile memory, media, and storage devices, including, for example, semiconductor memory devices (e.g., EPROM, EEPROM, and flash memory devices), magnetic disks (e.g., internal or removable), magneto-optical disks, and CD ROM and DVD-ROM disks. The processor and memory can be supplemented by, or incorporated in, special purpose logic circuitry.

[0134] Finally, it should be noted that although this specification contains many specific implementation details, these should not be interpreted as limiting the scope of any invention or the scope of what is claimed, but are primarily intended to describe the features of specific embodiments of a particular invention. Certain features described in multiple embodiments within this specification may also be implemented in combination in a single embodiment. On the other hand, various features described in a single embodiment may also be implemented separately in multiple embodiments or in any suitable sub-combination. In addition, although features may function in certain combinations as described above and may even be initially claimed as such, one or more features from a claimed combination may in some cases be removed from the combination, and a claimed combination may refer to a sub-combination or a variation of a sub-combination.

[0135] Similarly, although operations are depicted in a particular order in the accompanying drawings, this should not be understood as requiring that these operations be performed in the particular order shown or performed sequentially, or that all illustrated operations be performed to achieve the desired results. In some cases, multitasking and parallel processing may be advantageous. In addition, the separation of various system modules and components in the above-described embodiments should not be understood as requiring such separation in all embodiments, and it should be understood that the described program components and systems can generally be integrated together in a single software product, or packaged into multiple software products.

[0136] Thus, specific embodiments of the subject matter have been described. Other embodiments are within the scope of the following claims. In some cases, the actions recited in the claims can be performed in a different order and still achieve the desired results. Furthermore, the processes depicted in the accompanying drawings do not necessarily require the particular order shown or sequential sequence to achieve the desired results. In some implementations, multitasking and parallel processing may be advantageous.

[0137] The above description is only a preferred embodiment of the present disclosure and is not intended to limit the present disclosure. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present disclosure should be included in the scope of protection of the present disclosure.

Claims

1. A method for controlling the housing vibration dispersion of an MFC piezoelectric actuator, characterized in that: The steps include: S1. Embed the MFC piezoelectric actuator into a housing, apply a force to the housing, and perform a finite element model analysis on the housing to obtain experimental data parameters; S2. Obtaining a vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converting the vibration control differential equation into a state space equation form; S3, dividing the shell into substructures, and performing linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector, and a substructure transformed state equation; S4, based on the inclusion principle, the transformation state space equation, the transformation state vector and the substructure transformation state equation are expanded, decoupled and contracted to obtain an extended system; S5. extracting two-by-two overlapping substructures of the substructure from the extended system, performing decentralized control design of shell vibration on the overlapping substructures, and obtaining a quadratic performance indicator in the output regulator problem; S6. Using mathematical software to calculate the overlapping substructure state feedback gain matrix, and using the gain matrix to calculate the magnitude of the control torque generated during the application of the force, thereby performing vibration dispersion control on the shell; The vibration control differential equation of the finite element model of the shell in step S2 is: Where M, K, and C are the mass matrix, stiffness matrix, and damping matrix of the shell respectively; q(t) is the total displacement coordinate column vector in the finite element model, the number of degrees of freedom of the finite element model is n, u(t) is the p×1-dimensional control torque vector, w(t) is the m×1-dimensional external excitation vector, the external excitation is the hydrodynamic load, T u is the n×p dimensional control torque positioning matrix, T w is the external excitation positioning matrix of n×m dimensions; The vibration control differential equation (1) is transformed into the state space equation: And the state vector of the finite element model: xI(t) represents the displacement and velocity vector; In the step S5, in the output regulator problem, the performance index is taken as a quadratic form as follows: Among them, Q and R are adjustment parameters.

2. The housing vibration dispersion control method according to claim 1, wherein: In the step S1, the experimental data parameters include the stiffness matrix, mass matrix, damping matrix, All displacement coordinate column vectors in the finite element model and the number of control moments and the application position of each control moment.

3. The housing vibration dispersion control method according to claim 1, wherein: In the step S3, if the shell is divided into N substructures, the i-th substructure contains Ni degrees of freedom, and a transformation matrix Tr can be introduced according to the requirements so that Thus we obtain the transformation state vector: x i Contains the transformed state vector of the i-th substructure; The transformation state space equation is: in: 。 4. The housing vibration dispersion control method according to claim 1, wherein: In the step S4, the expansion system is: in 。 5. The housing vibration dispersion control method according to claim 1, wherein: In step S5, the method for designing decentralized control of housing vibration includes: The LQR algorithm in control theory is adopted, and based on the optimal control theory of the output regulator, decentralized control design of the housing vibration is performed.

6. A housing vibration dispersion control device for an MFC actuator, using the method according to any one of claims 1 to 5, characterized in that: include: Data parameter acquisition module: embed the MFC piezoelectric actuator into the shell, apply force to the shell, and perform finite element model analysis on the shell to obtain experimental data parameters; Equation calculation and conversion module: obtains the vibration control differential equation of the finite element model of the shell according to the experimental data parameters, and converts the vibration control differential equation into a state space equation form; Linear transformation module: divides the shell into substructures and performs linear transformation on the state space equation and state vector to obtain a transformed state space equation, a transformed state vector and a substructure transformed state equation; An expansion-decoupling-contraction module: based on the inclusion principle, the transformation state space equation and the transformation state vector are expanded-decoupled-contracted to obtain an expanded system; Overlapping subsystem extraction and design module: extracts the pairwise overlapping substructures of the substructure from the extended system, performs decentralized control design of the shell vibration on the overlapping substructures, and obtains quadratic performance indicators in the output regulator problem; Shell decentralized control module: Mathematical software is used to calculate the overlapping substructure state feedback gain matrix, and the magnitude of the control torque generated during the application of the force is calculated through the gain matrix, thereby performing vibration decentralized control on the shell.

7. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the program is executed, the steps of the shell vibration dispersion control method according to any one of claims 1 to 5 are implemented.

8. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein: When the processor executes the program, the steps of the shell vibration dispersion control method according to any one of claims 1 to 5 are implemented.

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