Opening and closing device deflection and sealing collaborative optimization system based on magnetorheological material
By constructing a mechanical model and a magnetorheological material model, and optimizing the magnetic field control strategy, the problem of unstable operation of the device in the existing technology was solved, and the stable operation of the opening and closing device under complex working conditions and the sealing performance were improved.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- JIANGSU UNIV
- Filing Date
- 2026-03-17
- Publication Date
- 2026-05-08
AI Technical Summary
Existing technologies struggle to assess dynamic characteristics and match magnetic fields and stiffness, leading to unstable operation of the opening and closing device under complex conditions. Furthermore, optimization results are prone to one-sided distortion, resulting in leakage.
A mechanical model, a magnetorheological material model, a collaborative optimization module, and a sealing and damping collaborative module are constructed. By calculating parameters such as deflection, stress, and shear modulus, a multi-objective optimization function is established, and the optimal magnetic field control strategy is derived to ensure the stable operation of the device under complex working conditions.
It has enabled the device to operate stably and efficiently under complex conditions, ensuring sealing performance and damping matching, preventing leakage, and improving the structural durability and operational stability of the device.
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Figure CN121997676A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of magnetorheological opening and closing devices, and more specifically to an opening and closing device deflection and sealing synergistic optimization system based on magnetorheological materials. Background Technology
[0002] The deflection and sealing synergistic optimization system for opening and closing devices based on magnetorheological materials is an intelligent optimization system for synergistically improving the deflection control and sealing performance of opening and closing devices. The optimization system mainly consists of a mechanical model construction module, a magnetorheological material modeling module, a synergistic optimization module, a mechanical performance analysis module, and a sealing and damping synergy module. In use, key parameters such as deflection, stress, and shear modulus are calculated; then, a multi-objective optimization function is established through the synergistic optimization module, and the optimal magnetic field control strategy is derived by combining constraints; subsequently, the dynamic operation stability is verified by the mechanical performance analysis module; finally, the sealing and damping synergy module ensures that sealing leakage meets the standard and damping is matched. The optimization system is widely used in industrial valves, hydraulic transmission systems, aerospace opening and closing mechanisms, hydraulic engineering gate control, precision mechanical actuators, and other scenarios.
[0003] In practical applications, existing technologies have several drawbacks. First, they are difficult to assess dynamic characteristics and match magnetic fields and stiffness, leading to the neglect of dynamic response during device operation and resulting in insufficient structural durability. Second, they are prone to biased optimization results, which can lead to biased and distorted results and ultimately cause device leakage. Summary of the Invention
[0004] In view of the shortcomings of the prior art, the purpose of this invention is to provide a deflection and sealing synergistic optimization system for opening and closing devices based on magnetorheological materials, so as to solve the problems of difficulty in evaluating dynamic characteristics, matching magnetic field and stiffness, and the tendency to produce one-sided optimization results, and ensure that the device can operate stably, efficiently and safely under complex and variable actual working conditions.
[0005] To achieve the above objectives, the technical solution adopted by the present invention is as follows:
[0006] The present invention relates to a deflection and sealing synergistic optimization system for opening and closing devices based on magnetorheological materials, the system comprising:
[0007] Module 1: Mechanical Model Construction Module. This module constructs a mechanical model of the opening and closing device, calculates the deflection at different locations, sets the boundary conditions for the opening and closing device, constructs the cross-sectional stress function, and calculates the stress distribution.
[0008] Module 2: Magnetorheological Material Modeling Module. Construct a shear stress constitutive model and calculate shear stress; construct a constitutive stiffness transformation function and calculate the equivalent shear modulus under the combined action of magnetic field and temperature.
[0009] Module 3: Collaborative Optimization Module, constructing the objective function; constructing constraints; constructing the optimality condition function; based on the solution of the optimality condition function, obtaining the optimal magnetic field control strategy;
[0010] Module 4: Mechanical Performance Analysis Module, constructing the finite element discrete equations of the opening and closing device; constructing the constraint conditions for the acceleration solution function; calculating the system stiffness matrix, damping matrix and load vector respectively;
[0011] Module 5: Sealing and Damping Synergy Module, which constructs a function for calculating sealing leakage; a function for calculating damping force; and a function for calculating comprehensive performance indicators, and calculates the comprehensive performance indicators.
[0012] Furthermore, the mechanical model in module one is as follows:
[0013]
[0014] in, The rate of change of curvature of the effective stiffness distribution. For effective stiffness distribution, For elastic modulus, The moment of inertia of the cross section; For position Deflection at the point, The coordinates represent the position along the length of the structure. This is a traditional distributed load function; Distribution of gravity load; This is an additional load for the magnetorheological material.
[0015] Furthermore, the shear stress constitutive model in module two is as follows:
[0016]
[0017] in, Shear stress; This represents the yield stress after the magnetic field is enhanced. The magnetic field-dependent viscosity after magnetic field enhancement; Shear rate; denoted as , where is the magnetic field strength.
[0018] Furthermore, the constitutive stiffness transformation function in module two is as follows:
[0019]
[0020] in, The equivalent shear modulus under the combined effects of magnetic field and temperature. The magnetic field strength, For temperature; This is the initial shear modulus; For enhancement coefficient; The attenuation coefficient; This is a reference temperature.
[0021] Furthermore, the optimization objective function in module three is as follows:
[0022]
[0023] in, To optimize the objective function; Maximum deflection; The maximum stress; For sealing efficiency; and These are the weighting coefficients;
[0024] The Lagrange function is shown below:
[0025]
[0026] in, It is a Lagrange function; This represents the maximum allowable deflection of the structure. The yield strength of the material; and These are the weighting coefficients; and It is a Lagrange multiplier.
[0027] Furthermore, the optimality condition function in module three is as follows:
[0028]
[0029] in, It is a Lagrange function; Maximum deflection; The maximum stress; For sealing efficiency; and These are the weighting coefficients; and For Lagrange multipliers; The magnetic field strength;
[0030] The optimal magnetic field control strategy is as follows:
[0031]
[0032] in, The optimal magnetic field control strategy; The solution to the optimality condition function contains the optimal maximum deflection. Optimal maximum stress Optimal sealing efficiency .
[0033] Furthermore, the finite element discretization equations in module four are as follows:
[0034]
[0035] in, The system quality matrix; Here is the damping matrix; Here is the system stiffness matrix; For load vectors; The nodal acceleration vector; The node velocity vector; is the nodal displacement vector.
[0036] Furthermore, the function for calculating the sealing leakage in module five is as follows:
[0037]
[0038] in, This refers to the amount of leakage from the seal. The characteristic radius of the sealing gap; The pressure difference between the two sides of the seal; For magnetic field dependent viscosity, The optimal magnetic field control strategy; This is the axial length of the sealing section;
[0039] The comprehensive performance index calculation function is shown below:
[0040]
[0041] in, For comprehensive performance indicators; The average damping force after time integration; , and These are the weighting coefficients.
[0042] Compared with the prior art, the beneficial effects of the present invention are as follows:
[0043] The system of this invention proposes a mechanical performance analysis module, which constructs finite element discrete equations based on the optimal magnetic field strategy, accurately calculates the system stiffness matrix, damping matrix and load vector, and comprehensively understands the dynamic mechanical characteristics of the device. At the same time, it realizes time history discrete analysis to obtain nodal acceleration, velocity and displacement, providing data for the dynamic stability assessment of the device. Finally, it ensures that the mechanical performance analysis fits the actual scenario of device startup and operation, and improves the engineering applicability of the analysis results.
[0044] The system of this invention proposes a sealing and damping synergy module to ensure qualified sealing performance and prevent media leakage from affecting the operation of the device. At the same time, it realizes the synergistic matching of sealing and damping to improve the stability of device operation. Finally, it comprehensively evaluates the synergistic effect of structure, sealing and damping, providing a comprehensive basis for the overall optimization of the device. Attached Figure Description
[0045] To more clearly illustrate the technical solutions in the embodiments of this application, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0046] Figure 1 This is a schematic diagram of the system's workflow in this invention;
[0047] Figure 2 This is a schematic diagram of the mechanical model construction module architecture of the system in this invention;
[0048] Figure 3 This is a schematic diagram of the magnetorheological material modeling module architecture in the system of this invention;
[0049] Figure 4 This is a schematic diagram of the collaborative optimization module architecture of the system in this invention;
[0050] Figure 5 This is a schematic diagram of the mechanical performance analysis module architecture of the system in this invention;
[0051] Figure 6 This is a schematic diagram of the sealing and damping coordination module architecture of the system in this invention. Detailed Implementation
[0052] To facilitate understanding by those skilled in the art, the present invention will be further described below with reference to embodiments and accompanying drawings. The content mentioned in the embodiments is not intended to limit the present invention.
[0053] Reference Figure 1 As shown, the present invention provides a deflection and sealing synergistic optimization system for an opening and closing device based on magnetorheological materials. This system includes:
[0054] Module 1: Mechanical Model Construction Module. Based on mechanical principles and related theoretical knowledge, this module constructs a mechanical model of the opening and closing device, calculates the deflection at different locations, sets the boundary conditions of the opening and closing device, and constructs the cross-sectional stress function based on deflection and elastic modulus to calculate the stress distribution.
[0055] First, based on mechanical principles and related theoretical knowledge, a mechanical model of the opening and closing device is constructed, and the deflection at different locations is calculated. For example, using... Steel is used as the main material for the opening and closing device, and carbonyl iron particle-based magnetorheological fluid is selected as the magnetorheological material; the model is shown below:
[0056]
[0057] in, The rate of change of curvature of the effective stiffness distribution. For effective stiffness distribution, For elastic modulus, For example, the moment of inertia of a cross section, such as the elastic modulus. Moment of inertia of cross section ; For position Deflection at the point, The coordinates represent the position along the length of the structure. For example, the traditional distributed load function is often chosen. ; Distribution of gravity load; Additional load for magnetorheological materials;
[0058] By location For example, calculate the deflection:
[0059]
[0060] The function used to calculate the distribution of gravity loads is as follows:
[0061]
[0062] in, Distribution of gravity load; Density per unit volume; The cross-sectional area; This is the constant of gravitational acceleration; for example, density per unit volume. cross-sectional area Gravitational acceleration constant ;
[0063] The distribution of gravity load was calculated:
[0064]
[0065] When calculating the additional load on a magnetorheological material, the function is as follows:
[0066]
[0067] in, Additional load for magnetorheological materials; This represents the increment of the foundation stiffness when the magnetic field is zero. It is the magnetic susceptibility coefficient; The magnetic field strength; For position Deflection at a point; for example, the increment of foundation stiffness. Magnetic susceptibility coefficient It was obtained by fitting experimental data specifically related to magnetorheological materials;
[0068] With magnetic field strength For example, calculate the additional load:
[0069]
[0070] Secondly, the boundary conditions for the opening and closing device are set using the following function:
[0071]
[0072] in, For position The deflection at the fixed end is 0, indicating that there is no lateral displacement at the fixed end of the device; For position A rotation angle of 0° at the fixed end indicates that there is no rotation at the fixed end. The first derivative of the deflection; For position End bending moment at the point, The bending moment at the free end, The second derivative of the deflection; For position End shear force at the point, For the shear force at the free end of the beam, The third derivative of the deflection; The total effective length of the device, for example, the total effective length. ;
[0073] Finally, based on deflection and elastic modulus, a cross-sectional stress function is constructed to calculate the stress distribution. The function is as follows:
[0074]
[0075] in, Stress distribution; It is the elastic modulus; For position The second derivative of the deflection at position Taking deflection as an example, the second derivative of deflection ; This refers to the length of the maximum fiber distance from the neutral axis in the cross-section, for example, the length of the maximum fiber distance from the neutral axis in the cross-section. ;
[0076] When calculating stress distribution:
[0077]
[0078] Among them, material property parameters, including elastic modulus, unit volume density, cross-sectional area, total effective length of the device, and the length of the maximum fiber distance from the neutral axis of the cross section, are determined by the physical properties of the material itself and are obtained through material testing experiments.
[0079] Module 2: Magnetorheological Material Modeling Module. Based on the fitting model and relevant theoretical knowledge, a shear stress constitutive model is constructed to calculate the shear stress; a constitutive stiffness transformation function is constructed to calculate the equivalent shear modulus under the combined action of magnetic field and temperature.
[0080] First, based on the fitting model and relevant theoretical knowledge, a shear stress constitutive model is constructed to calculate the shear stress, as shown in the following model:
[0081]
[0082] in, Shear stress; This represents the yield stress after the magnetic field is enhanced. The magnetic field-dependent viscosity after magnetic field enhancement; Shear rate, For example, shear rate ;
[0083] Calculate the shear stress:
[0084]
[0085] The function used to calculate the yield stress after magnetic field enhancement is as follows:
[0086]
[0087] in, This represents the yield stress after the magnetic field is enhanced. The initial yield stress is when there is no magnetic field. It is the magnetic susceptibility coefficient; The magnetic field strength;
[0088] With initial yield stress Magnetic susceptibility coefficient magnetic field strength For example, the yield stress is calculated as follows:
[0089]
[0090] When calculating the magnetic field-dependent viscosity after magnetic field enhancement, the function is as follows:
[0091]
[0092] in, The magnetic field-dependent viscosity after magnetic field enhancement; The initial viscosity when there is no magnetic field; The proportionality coefficient of the effect of magnetic field on viscosity is obtained by fitting specific experimental data of magnetorheological materials. The magnetic field strength;
[0093] At initial viscosity Influence on the proportional coefficient magnetic field strength For example, the magnetic field-dependent viscosity is calculated:
[0094]
[0095] Secondly, a constitutive stiffness transformation function is constructed to calculate the equivalent shear modulus under the combined effects of magnetic field and temperature. The function is as follows:
[0096]
[0097] in, The equivalent shear modulus under the combined effects of magnetic field and temperature. The magnetic field strength, For temperature; This is the initial shear modulus; For enhancement coefficient; The attenuation coefficient; The reference temperature was used; the enhancement coefficient and attenuation coefficient were obtained by fitting specific experimental data of magnetorheological materials.
[0098] With initial shear modulus Enhancement coefficient attenuation coefficient ,temperature Reference temperature For example, the equivalent shear modulus is calculated:
[0099]
[0100] Module 3: Collaborative Optimization Module. This module constructs an optimization objective function; based on the objective function, it establishes constraints for deflection, stress, and magnetic field strength; using the Lagrangian function, it calculates the partial derivative with respect to magnetic field strength to construct an optimality condition function; and based on the solution of the optimality condition function, it obtains the optimal magnetic field control strategy.
[0101] First, construct the optimization objective function, as follows:
[0102]
[0103]
[0104]
[0105] in, To optimize the objective function; Maximum deflection; The maximum stress; For sealing efficiency; and The weighting coefficients are preset based on system performance priorities and then optimized through trial calculations and iterative optimization.
[0106] With constraint data, weighting coefficients , Sealing efficiency For example, substituting the objective function into the calculation, we can calculate the value of the objective function:
[0107]
[0108] Secondly, based on the objective function, constraints are constructed for deflection, stress, and magnetic field strength respectively:
[0109] The function for generating deflection constraints is as follows:
[0110]
[0111] in, Maximum deflection; The maximum allowable deflection of the structure is determined according to the equipment's operational accuracy requirements; for example, the maximum deflection. ;
[0112] The function for generating stress constraints is as follows:
[0113]
[0114] in, The maximum stress; The yield strength of the material is determined by the material's yield strength, for example, the material's yield strength. ;
[0115] The function for generating magnetic field strength constraints is as follows:
[0116]
[0117] in, The magnetic field strength, The maximum permissible magnetic field strength of the device is determined by the maximum output magnetic field of the magnetorheological actuator; for example, the maximum magnetic field strength. ;
[0118] Finally, the Lagrangian function is constructed and constraints are introduced, as follows:
[0119]
[0120] in, It is a Lagrange function; Maximum deflection; This represents the maximum allowable deflection of the structure. The maximum stress; The yield strength of the material; For sealing efficiency; and The weighting coefficients are preset based on system performance priorities and then optimized through trial calculations and iterative optimization. and For Lagrange multipliers;
[0121] Based on the Lagrange function, the partial derivative with respect to the magnetic field strength is used to construct the optimality condition function, as follows:
[0122]
[0123] in, It is a Lagrange function; Maximum deflection; The maximum stress; For sealing efficiency; and These are the weighting coefficients; and For Lagrange multipliers;
[0124] Based on the solution of the optimality condition function, the optimal magnetic field control strategy is obtained, as shown below:
[0125]
[0126] in, The optimal magnetic field control strategy; The solution to the optimality condition function contains the optimal maximum deflection. Optimal maximum stress Optimal sealing efficiency ;
[0127] With optimal magnetic field control strategy , For example, calculate the solution to the optimality condition function:
[0128]
[0129] Substitute the values back into the objective function and calculate its minimum:
[0130]
[0131] Module 4: Mechanical Performance Analysis Module. Based on the optimal magnetic field control strategy, the finite element discrete equations of the opening and closing device are constructed; the constraints of the acceleration solution function are constructed; and the system stiffness matrix, damping matrix, and load vector are calculated respectively.
[0132] First, based on the optimal magnetic field control strategy, the finite element discrete equations of the opening and closing device are constructed, as shown below:
[0133]
[0134] in, The system quality matrix; Here is the damping matrix; Here is the system stiffness matrix. The optimal magnetic field control strategy; For load vectors; The nodal acceleration vector; The node velocity vector; For example, the system mass matrix; (This refers to the nodal displacement vectors.) ;
[0135] Using the Newmark-β method, the time interval is integrated with a step size to obtain the discrete time history relation function, as follows:
[0136]
[0137]
[0138] in, for The nodal displacement vector at time t; for The nodal displacement vector at time t; for The nodal velocity vector at time t; for The nodal acceleration vector at time t; for The nodal velocity vector at time t; for The nodal velocity vector at time t; For time step; and For precision control parameters, preset based on system performance priorities, and then iteratively optimized through trial calculations; for example, time step. Precision control parameters , ;
[0139] Substitute the calculated initial acceleration data into the formula to calculate... The acceleration, velocity, and displacement of the scale:
[0140]
[0141] Substituting the time-history discrete relation function into the finite element discrete equation, we obtain the acceleration solution function, as follows:
[0142]
[0143] in, for The nodal velocity vector at time t; for The load vector at time t; Here is the damping matrix; for The nodal velocity vector at time t; for The system stiffness matrix at time t; for The nodal displacement vector at time t; The system quality matrix;
[0144] The initial acceleration was calculated based on the constraints:
[0145]
[0146] Secondly, the constraints for the acceleration solution function are constructed as follows:
[0147]
[0148]
[0149]
[0150] in, for The nodal displacement vector; for The node velocity vector; for The displacement vector is represented by a constant value; for The velocity vector constant representation;
[0151] Finally, the function for calculating the system stiffness matrix is as follows:
[0152]
[0153] in, Here is the system stiffness matrix. The optimal magnetic field control strategy; This represents the increment of the foundation stiffness when the magnetic field is zero. It is the magnetic susceptibility coefficient;
[0154] With optimal magnetic field control strategy The system stiffness matrix is calculated as follows:
[0155]
[0156] The function for calculating the damping matrix is as follows:
[0157]
[0158] in, Here is the damping matrix; and The damping coefficient is determined by referring to engineering design cases of similar opening and closing devices; The system quality matrix; Here is the system stiffness matrix;
[0159] With damping coefficient , For example, calculate the damping matrix:
[0160]
[0161] The function for calculating the load vector is as follows:
[0162]
[0163] in, For load vectors; For gravity load; For fluid dynamic load;
[0164] Impact load;
[0165] For example, gravity load Fluid dynamic load Impact load ;
[0166] by For example, calculate the load vector:
[0167]
[0168] Module 5: Sealing and Damping Synergy Module. Based on magnetic field-dependent viscosity, a function for calculating sealing leakage is constructed; based on the equivalent damping coefficient, a function for calculating damping force is constructed; and a function for calculating comprehensive performance indicators is constructed, combining maximum deflection, maximum stress, sealing efficiency, and damping force to calculate comprehensive performance indicators.
[0169] First, based on the optimal magnetic field control strategy, a function for calculating the sealing leakage is constructed, as follows:
[0170]
[0171] in, This refers to the amount of leakage from the seal. The characteristic radius of the sealing gap; The pressure difference between the two sides of the seal; Magnetic field dependent viscosity; This is the axial length of the sealing section;
[0172] For example, the characteristic radius of the sealing gap Pressure difference on both sides of the seal Optimal magnetic field control strategy axial length of the sealing section Substitute the values into the formula to calculate the seal leakage:
[0173]
[0174] The amount of seal leakage is determined by a preset leakage threshold, and the determination function is as follows:
[0175]
[0176] in, The preset leakage threshold is determined according to the permissible leakage standard of the sealing medium. For example, the preset leakage threshold... ,when This indicates that the sealing and damping synergy is satisfactory; otherwise, the performance is unsatisfactory and a redesign is required.
[0177] The judgment is based on the calculated amount of seal leakage.
[0178] This indicates that the sealing and damping synergy performance is satisfactory;
[0179] Secondly, an equivalent damping coefficient model is constructed, as shown below:
[0180]
[0181] in, This is the equivalent damping coefficient of the damper; This is the inherent damping coefficient of the damper; The magnetic field gain coefficient is the damping coefficient; The optimal magnetic field control strategy;
[0182] With inherent damping coefficient Magnetic field gain coefficient For example, calculate the equivalent damping coefficient:
[0183]
[0184] Based on the equivalent damping coefficient, a damping force calculation function is constructed as follows:
[0185]
[0186] in, It is a damping force, which can change over time; This is the equivalent damping coefficient of the damper; The relative velocity between the two ends of the damper;
[0187] With relative motion speed For example, using the equivalent damping coefficient, the damping force can be calculated:
[0188]
[0189] Finally, the sealing efficiency calculation function is constructed as follows:
[0190]
[0191] in, For sealing efficiency; It is an exponential function; This is the design influence coefficient; This refers to the amount of leakage from the seal. For reference leakage amount;
[0192] A comprehensive performance index calculation function is constructed, which combines maximum deflection, maximum stress, sealing efficiency, and damping force to calculate the comprehensive performance index. The function is as follows:
[0193]
[0194] in, For comprehensive performance indicators; Maximum deflection; The maximum stress; For sealing efficiency; The average damping force after time integration; , and The weighting coefficients are preset based on system performance priorities and then optimized through trial calculations and iterative optimization.
[0195] Calculate the comprehensive performance indicators by combining maximum deflection, maximum stress, sealing efficiency, and damping force:
[0196]
[0197] This invention has many specific applications. The above description is only a preferred embodiment of this invention. It should be noted that for those skilled in the art, several improvements can be made without departing from the principle of this invention, and these improvements should also be considered within the scope of protection of this invention.
Claims
1. A deflection and sealing synergistic optimization system for opening and closing devices based on magnetorheological materials, characterized in that, The system includes: Module 1: Mechanical Model Construction Module. This module constructs a mechanical model of the opening and closing device, calculates the deflection at different locations, sets the boundary conditions for the opening and closing device, constructs the cross-sectional stress function, and calculates the stress distribution. Module 2: Magnetorheological Material Modeling Module. Construct a shear stress constitutive model and calculate shear stress; construct a constitutive stiffness transformation function and calculate the equivalent shear modulus under the combined action of magnetic field and temperature. Module 3: Collaborative Optimization Module, constructing the objective function; constructing constraints; constructing the optimality condition function; based on the solution of the optimality condition function, obtaining the optimal magnetic field control strategy; Module 4: Mechanical Performance Analysis Module, constructing the finite element discrete equations of the opening and closing device; constructing the constraint conditions for the acceleration solution function; calculating the system stiffness matrix, damping matrix and load vector respectively; Module 5: Sealing and Damping Synergy Module, which constructs a function for calculating sealing leakage; a function for calculating damping force; and a function for calculating comprehensive performance indicators, and calculates the comprehensive performance indicators.
2. The system according to claim 1, characterized in that, The mechanical model in Module 1 is shown below: in, The rate of change of curvature of the effective stiffness distribution. For effective stiffness distribution, For elastic modulus, The moment of inertia of the cross section; For position Deflection at the point, The coordinates represent the position along the length of the structure. This is a traditional distributed load function; Distribution of gravity load; This is an additional load for the magnetorheological material.
3. The system according to claim 1, characterized in that, The shear stress constitutive model in Module 2 is shown below: in, Shear stress; This represents the yield stress after the magnetic field is enhanced. The magnetic field-dependent viscosity after magnetic field enhancement; Shear rate; denoted as , where is the magnetic field strength.
4. The system according to claim 1, characterized in that, The constitutive stiffness transformation function in Module 2 is as follows: in, The equivalent shear modulus under the combined effects of magnetic field and temperature. The magnetic field strength, For temperature; This is the initial shear modulus; For enhancement coefficient; The attenuation coefficient; This is a reference temperature.
5. The system according to claim 1, characterized in that, The optimization objective function in Module 3 is as follows: in, To optimize the objective function; Maximum deflection; The maximum stress; For sealing efficiency; and These are the weighting coefficients; The Lagrange function is shown below: in, It is a Lagrange function; This represents the maximum allowable deflection of the structure. The yield strength of the material; and These are the weighting coefficients; and It is a Lagrange multiplier.
6. The system according to claim 1, characterized in that, The optimality condition function in Module 3 is as follows: in, It is a Lagrange function; Maximum deflection; The maximum stress; For sealing efficiency; and These are the weighting coefficients; and For Lagrange multipliers; The magnetic field strength; The optimal magnetic field control strategy is as follows: in, The optimal magnetic field control strategy; The solution to the optimality condition function contains the optimal maximum deflection. Optimal maximum stress Optimal sealing efficiency .
7. The system according to claim 1, characterized in that, The finite element discretization equations in Module 4 are as follows: in, The system quality matrix; Here is the damping matrix; Here is the system stiffness matrix; For load vectors; The nodal acceleration vector; The node velocity vector; is the nodal displacement vector.
8. The system according to claim 1, characterized in that, The function for calculating the sealing leakage in Module 5 is as follows: in, This refers to the amount of leakage from the seal. The characteristic radius of the sealing gap; The pressure difference between the two sides of the seal; For magnetic field dependent viscosity, The optimal magnetic field control strategy; This is the axial length of the sealing section; The comprehensive performance index calculation function is shown below: in, For comprehensive performance indicators; The average damping force after time integration; , and These are the weighting coefficients.