Structure-power equipment coupling system vibration control analysis method for industrial upstairs

Abstract

The structure-power equipment coupling system vibration control analysis method comprises the following steps: taking industrial upstairs-going mechanical power equipment, a single (two)-stage vibration isolation system and a floor system or a thin plate foundation as a composite vibration control system, and designing the mechanical power equipment according to the actual size and the vibration isolation system of the mechanical power equipment; the four supports are arranged at four positions on a floor system or a thin plate foundation; a floor system or a thin plate foundation is regarded as a fixed support, and a floor system or thin plate foundation vibration expression is established according to harmonic vibration excitation generated by mechanical power equipment; according to a mechanical four-end connection principle and an admittance method, a transmission force expression from mechanical power equipment to a single (two)-stage vibration isolation system to a thin plate foundation is deduced to serve as input of floor system or thin plate foundation vibration; calculating the vibration speed of the four-point support part of the thin plate foundation; a power flow for causing thin plate vibration of a mechanical equipment vibration isolation system is introduced; carrying out multi-objective optimization; and optimal design parameters of the industrial upstairs structure-power equipment coupling system are obtained.

Description

Technical Field

[0001] The present invention relates to the technical field of industrial building vibration control, and more specifically to a vibration control analysis method for a structure-power equipment coupling system for industrial building construction. For example, the method can be applied to solve the vibration problem caused by the operation of mechanical power equipment during industrial building construction, ensure the normal operation of equipment, the safety of the structure and the comfort of personnel in the industrial building construction project, and improve the overall performance and feasibility of the industrial building construction. Background Art

[0002] With the acceleration of urban construction and the increasing shortage of land resources, the industrial building model has emerged and become a new trend in industrial development. In the scenario of industrial building, various types of industrial power equipment are placed on the floor of the building. However, this layout brings significant vibration problems. Mechanical power equipment will inevitably generate vibrations during operation, and these vibrations will be transmitted through the floor (which can be regarded as a thin plate foundation). This vibration transmission not only poses a threat to the safety of the floor structure itself, affects the stability and durability of the structure, but also interferes with the normal operation of the equipment itself, reduces the working accuracy of the equipment, and may even cause equipment failure and shorten the service life of the equipment. Traditional vibration isolation design has obvious shortcomings in dealing with such problems. In previous research and practice, the foundation is usually regarded as completely rigid, and the influence of foundation vibration is often ignored when performing vibration isolation design. This simplified processing method is difficult to achieve the expected vibration isolation effect when faced with high-frequency external stimulation and the actual situation of low foundation stiffness. Under the actual working conditions of industrial buildings, there are many high-frequency vibration excitation sources, while the floor foundation is relatively flexible. Traditional vibration isolation strategies cannot effectively cope with them, resulting in poor vibration control. The vibration problems of equipment and structures are still prominent and cannot meet the vibration control requirements of industrial buildings.

[0003] Therefore, there is an urgent need for a new vibration control analysis method that can comprehensively consider the coupling relationship between mechanical power equipment, vibration isolation system and floor structure in industrial buildings, effectively solve the problem of vibration transmission and control, and ensure the safe, stable and efficient operation of industrial building projects. Summary of the invention

[0004] In view of the above problems, the present invention provides a vibration control analysis method for a structure-power equipment coupling system for industrial stair-moving, aiming to solve the problem of the impact of mechanical power equipment vibration on the structure and the equipment itself during industrial stair-moving.

[0005] More specifically, according to one aspect of the present invention, a vibration control analysis method for a structure-power equipment coupling system for industrial building construction is provided, comprising:

[0006] Step 1: Consider the mechanical power equipment, single-stage or two-stage vibration isolation system and floor slab or thin-slab foundation of the industrial building as a composite vibration control system, and place the mechanical power equipment at four positions on the floor slab or thin-slab foundation according to its actual size and vibration isolation system design;

[0007] Step 2: Consider the floor or thin plate foundation as a fixed support, and establish the vibration expression of the floor or thin plate foundation according to the harmonic vibration excitation generated by the mechanical power equipment (1):

[0008]

[0009] Where: F is the force amplitude, B = Eh 3 / [12(1-υ 2 )] is the bending stiffness of the thin plate; E is Young's modulus; υ is Poisson's ratio; ρ s =ρh is the surface density of the thin plate, ρ is the volume density; (x, y) is an arbitrary random discrete point on the plate, (x′, y′) is the position where the external vibration load is applied on the plate, Ψ(·) is the mode function, ω is the circular frequency;

[0010] Step 3: Based on the mechanical four-terminal connection principle and the admittance method, derive the expression (2) of the transmission force from the mechanical power equipment-single-stage vibration isolation system-thin plate foundation to serve as the input of the floor slab or thin plate foundation vibration in step 2;

[0011]

[0012]

[0013] Among them, M A , M B 、M C and M D is the admittance of the four plate mounting points A, B, C and D; N 1 , N 2 and N 3 are the proportional coefficients between the transmitted forces,

[0014] Step 4: Based on the mechanical four-terminal connection principle and the admittance method, derive the expression (3) of the transmission force from the mechanical power equipment-two-stage vibration isolation system-thin plate foundation to serve as the input of the floor slab or thin plate foundation vibration in step 2;

[0015]

[0016] Where TF is the force transmission rate;

[0017] C 1 =A 1 B 3 -A 2 B4 +A 3 B 1 M A +B 1 A 3 M A -B 2 A 4 M A ;

[0018] C 2 =A 1 B 4 +A 2 B 3 +B 1 A 4 M A +B 2 A 3 M A ;

[0019] For other points B, C and D, about M in the above formula A and F A , M A By M B ,

[0020] M C and M D Replacement, F A By F B , F C and F D Replace, where F A , F B , F C

[0021] and F D is the transmitted force at four points;

[0022] C 3 =A 3 B 3 -A 4 B 4 ; C 4 =A 3 B 4 +B 3 A 4 ;

[0023] A 1 =n 1 -n 2 ×(2ξ 2 ) 2 θ 2 -n 1 θ 2 -uθ 2 +uθ 4 -n1 uθ 2 ;

[0024] A 2 =n 1 ×2ξ 2 θ+n 2 ×2ξ 2 θ-n 2 ×2ξ 2 θ 3 -u×2ξ 2 θ 3 ;

[0025] A 3 =n 1 -n 2 ×(2ξ 2 ) 2 θ 2 ; A 4 =n 1 ×2ξ 2 θ+n 2 ×2ξ 2 θ;

[0026]

[0027] B 3 =n 1 ; B4 = n 2 ×2ξ 2 θ;

[0028] Where m1 is the mass of the mechanical equipment, m2 is the mass of the secondary system, and u = m 1 / m 2 ;n 1 =k 1 / k 2 ;n 2 =c 1 / c 2 , k1 is the stiffness of the primary system, c 1 is the damping coefficient of the primary system, k2 is the stiffness of the secondary system, c 2 is the damping coefficient of the primary system;

[0029] Step 5, based on steps 2 and 3 and steps 2 and 4, respectively calculate the vibration velocity at the four-point supports of the mechanical power equipment-single-stage vibration isolation system-thin plate foundation and the mechanical power equipment-two-stage vibration isolation system-thin plate foundation;

[0030] Step six, introducing the power flow of the mechanical equipment vibration isolation system to cause the thin plate vibration;

[0031] Step 7, defining two objective functions, namely, reducing the maximum power flow transmitted to the board and ensuring the reduction of equipment vibration, as objects, and carrying out multi-objective optimization; and

[0032] Step eight, obtain the optimized design parameters of the structure-power equipment coupling system of the industrial building.

[0033] According to an embodiment of the present invention, step one includes dividing the floor slab or thin plate foundation into a model grid with a certain accuracy to match the size of the mechanical power equipment and accurately place a single-stage or two-stage vibration isolation system.

[0034] According to an embodiment of the present invention, step five includes differential calculation from vibration displacement to vibration velocity.

[0035] According to an embodiment of the present invention, in step six, the power flow is calculated according to the multi-point excitation power flow, taking into account the transmission force and speed of the mechanical power device on the board.

[0036] According to an embodiment of the present invention, step seven includes introducing a multi-objective particle swarm optimization algorithm to carry out multi-objective optimization.

[0037] According to another aspect of the present invention, there is provided a vibration control and analysis device for a structure-power equipment coupling system for industrial building construction, comprising:

[0038] The composite vibration control system setting and placement module is used to treat the mechanical power equipment, single-stage or two-stage vibration isolation system and floor slab or thin-slab foundation of the industrial building as a composite vibration control system, and to place the mechanical power equipment at four positions on the floor slab or thin-slab foundation according to its actual size and vibration isolation system design;

[0039] A module for establishing a vibration expression of a floor or thin plate foundation, which is used to regard the floor or thin plate foundation as a fixed support and establish the vibration expression of the floor or thin plate foundation as described above (1) according to the harmonic vibration excitation generated by the mechanical power equipment;

[0040] A module for establishing a transmission force expression of mechanical power equipment-single-stage vibration isolation system-thin plate foundation is used to derive the transmission force expression (2) from mechanical power equipment-single-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method, which is used as the input of the floor slab or thin plate foundation vibration in step 2;

[0041] A module for establishing a transmission force expression of mechanical power equipment-two-stage vibration isolation system-thin plate foundation is used to derive the transmission force expression (3) from mechanical power equipment-two-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method, which is used as the input of the floor slab or thin plate foundation vibration in step 2;

[0042] A vibration velocity calculation module at four-point supports, which is used to calculate the vibration velocity at four-point supports of mechanical power equipment-single-stage vibration isolation system-thin plate foundation and mechanical power equipment-two-stage vibration isolation system-thin plate foundation respectively based on the vibration expression establishment module of the floor or thin plate foundation and the transmission force expression establishment module of the mechanical power equipment-single-stage vibration isolation system-thin plate foundation, as well as the vibration expression establishment module of the floor or thin plate foundation and the transmission force expression establishment module of the mechanical power equipment-two-stage vibration isolation system-thin plate foundation;

[0043] The power flow introduction module is used to introduce the power flow of the thin plate vibration caused by the vibration isolation system of the mechanical equipment;

[0044] A multi-objective optimization module, for defining two objective functions, namely, reducing the maximum power flow transmitted to the board and ensuring the reduction of equipment vibration, as objects, and performing multi-objective optimization; and

[0045] Design parameter optimization module, based on the multi-objective optimization module, obtains the optimal design parameters of the structure-power equipment coupling system of the industrial building.

[0046] According to another aspect of the present invention, there is also provided an electronic device, comprising: a memory and one or more processors;

[0047] The memory is used to store one or more programs; when the one or more programs are executed by the one or more processors, the one or more processors implement the method described in the present invention.

[0048] The present invention regards mechanical power equipment, single-stage or two-stage vibration isolation system, and floor (thin plate foundation) as a composite vibration control system, and comprehensively considers the interaction and coupling relationship between each part. Instead of viewing equipment, vibration isolators and floor in isolation, the system analyzes and designs from the perspective of the overall system, which can more accurately simulate and predict the vibration conditions under actual working conditions, and provide a solid theoretical basis for effective vibration control.

[0049] By establishing the vibration expression of the fixed thin plate, deriving the transmission force expression, and calculating the vibration velocity and power flow, the accurate analysis of the vibration of the industrial building structure-power equipment coupling system is achieved. Based on these accurate analysis results, we can have a deep understanding of the transmission path, size and influencing factors of the vibration, so as to take targeted control measures to minimize the impact of vibration on structural safety and equipment operation, and ensure the stable operation of the industrial building project.

[0050] Two objective functions were designed to reduce the maximum power flow transmitted to the board and to ensure the reduction of equipment vibration, and multi-objective optimization was carried out. This not only effectively reduced the impact of vibration on the floor structure and the surrounding environment, reduced the risk of structural damage and interference to the surrounding area, but also ensured the stability and durability of the mechanical power equipment itself, extended the service life of the equipment, and improved the operating accuracy of the equipment, thereby improving the performance and reliability of the entire industrial stair system.

[0051] By introducing the multi-objective particle swarm optimization algorithm, we can obtain the optimized design parameters, including the stiffness, damping and other key parameters of the vibration isolation system. These optimized parameters can be directly applied to the actual design and construction of industrial building projects, providing engineers with a scientific and reasonable design basis, helping to achieve the optimal configuration of the vibration isolation system, improve the vibration isolation effect, reduce costs, improve project quality, and promote the sustainable development of industrial building projects.

[0052] This invention fills the gap in the vibration control analysis method for the structure-power equipment coupling system in the industrial stair climbing scene, and organically combines multiple theories and technologies, such as the mechanical four-terminal connection principle, admittance method, power flow theory and multi-objective particle swarm optimization algorithm. This method provides new ideas and technical means for solving the industrial stair climbing vibration problem, has a positive role in promoting the technological development of related fields, and has high practical value and application prospects. BRIEF DESCRIPTION OF THE DRAWINGS

[0053] Figure 1 A schematic flow chart of a vibration control analysis method for a structure-power equipment coupling system for industrial building construction according to an embodiment of the present invention;

[0054] Figure 2 A schematic diagram of the model structure of a mechanical power device-single-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention and a schematic diagram of the structure in Cartesian coordinates;

[0055] Figure 3 It is a schematic diagram of force transmission of a mechanical power device-single-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention;

[0056] Figure 4 A schematic diagram of the model structure of a mechanical power device-two-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention and a schematic diagram of the structure in Cartesian coordinates;

[0057] Figure 5 It is a schematic diagram of force transmission of a mechanical power device-a two-stage vibration isolation system-a thin plate foundation composite system according to an embodiment of the present invention;

[0058] Figure 6A schematic diagram of thin plate mesh division and four-point placement positions of the end of the vibration isolator according to a vibration control analysis method for a structure-power equipment coupling system for industrial stair-climbing according to an embodiment of the present invention;

[0059] Figure 7 is a schematic structural diagram of a vibration control and analysis device for a structure-power equipment coupling system for industrial building construction according to an embodiment of the present invention, and

[0060] Figure 8 Schematic diagram of the structure of an electronic device according to an embodiment of the present invention. DETAILED DESCRIPTION

[0061] The present invention is further described in detail below through specific embodiments in conjunction with the accompanying drawings. The shown contents are used to fully illustrate the contents of the present invention, but are not used to limit the present invention.

[0062] It should be understood that the models and tools involved in the present invention, such as the four-terminal connection principle and admittance method, power flow, particle swarm optimization algorithm, etc., are already known. Therefore, the present invention focuses on how to combine and optimize the above-mentioned various tools or models to design the vibration control analysis technology of the structure-power equipment coupling system for industrial buildings of the present invention.

[0063] Figure 1 The figure is a flow chart of a vibration control analysis method for a structure-power equipment coupling system for industrial buildings according to an embodiment of the present invention. Figure 1 According to an embodiment of the present invention, a vibration control analysis method for a structure-power equipment coupling system for industrial building construction may include:

[0064] First, the mechanical power equipment, single-stage or two-stage vibration isolation system, and floor slab (or thin plate foundation) of the industrial building are considered as a composite vibration control system. According to the actual size of the mechanical power equipment and the design of the vibration isolation system, the equipment is accurately placed at four positions on the thin plate. At the same time, the thin plate foundation is modeled and meshed. For example, a certain number of meshes can be divided per meter (the specific number is determined according to the actual accuracy requirements), so that the mesh size is adapted to the size of the mechanical power equipment, so as to accurately place the single-stage or two-stage vibration isolation system, for example, see the attached Figure 6 .

[0065] Figure 2 A schematic diagram of the model structure of a mechanical power device-single-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention and a schematic diagram of the structure in Cartesian coordinates; Figure 3 Schematic diagram of force transmission of a mechanical power device-single-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention. That is, Figure 2-3The schematic diagram of mechanical power equipment-single-stage vibration isolation system-thin plate foundation calculation and force delivery is shown, where ① represents the mechanical equipment, ② represents the vibration isolator, including stiffness and damping components, and ③ represents the clamped rectangular thin plate foundation. m is the mass of the mechanical equipment supported by four vibration isolators mounted on the thin plate, and the stiffness and damping can be expressed as k and c. The geometry of the thin plate is a×b×h. For simplicity, the device can be regarded as a rectangular parallelepiped with plane dimensions (e×f). The amplitude of the harmonic excitation generated by the mechanical equipment is F, O is the coordinate origin, and A, B, C and D are the four corners of the equipment.

[0066] Figure 4 A schematic diagram of the model structure of a mechanical power device-two-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention and a schematic diagram of the structure in Cartesian coordinates; Figure 5 Schematic diagram of force transmission of a mechanical power device-two-stage vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention. That is, Figure 4-5 It shows the mechanical power equipment-two-stage vibration isolation system-thin plate foundation calculation and force transmission schematic diagram, and Figure 2-3 Similar reference numerals in the figure represent similar meanings. 2 It is an intermediate mass. The primary system consists of ① (mechanical equipment) and ② (connected isolator), the secondary system consists of ③ (intermediate mass) and ④ (connected insulator), and ⑤ is a clamping plate.

[0067] The thin plate is regarded as a fixed support state, and the vibration expression of the thin plate is established based on the harmonic vibration excitation generated by the mechanical power equipment. The conversion relationship from force to vibration velocity is fully covered. For example, the relevant vibration theory and research results can be referred to, and the actual conditions of the equipment and thin plate in the present invention can be combined to determine the various parameters and function forms in the expression to provide an accurate theoretical model for subsequent calculations. For example, the vibration expression of the thin plate can be the following formula (1):

[0068]

[0069] Where: F is the force amplitude, B = Eh 3 / [12(1-υ 2 )] is the bending stiffness of the thin plate; E is Young's modulus; υ is Poisson's ratio; ρ s =ρh is the surface density of the thin plate, ρ is the volume density; (x, y) is an arbitrary random discrete point on the plate, (x′, y′) is the position where the external vibration load is applied on the plate, Ψ(·) is the mode function, ω is the circular frequency; I 1 -I 6 It is a polynomial term and has no practical meaning;

[0070] Ψ MN (x, y) can be, for example, Ψ MN(x, y) = θ M (x)ζ N (y), where:

[0071]

[0072] J(·)=cosh(·)-cos(·), H(·)=sinh(·)-sin(·),β i It is the root of cosh(β)cos(β)=1;

[0073]

[0074] The values ​​of i, M, and N can be 1-6.

[0075] Then the expression of transmitted force is established, including single-stage and two-stage vibration isolation systems.

[0076] Using the mechanical four-terminal connection principle and the admittance method, the transmission force expressions from the mechanical power equipment to the single-stage vibration isolation system and then to the thin plate foundation (mechanical power equipment-single-stage vibration isolation system-thin plate foundation) and from the mechanical power equipment to the two-stage vibration isolation system and then to the thin plate foundation (mechanical power equipment-two-stage vibration isolation system-thin plate foundation) are derived respectively. In the derivation process, the mechanical characteristics and parameter relationships of each connection part are analyzed, and the various parameters of the four-terminal connection (such as the expressions of relevant parameters such as mass, stiffness, and damping) are determined. Through rigorous mathematical derivation, an accurate transmission force expression is obtained, which will serve as the key input for the thin plate vibration calculation.

[0077] For example, the transmission force expression of mechanical power equipment-single-stage vibration isolation system-thin plate foundation can be expressed as follows (2):

[0078]

[0079]

[0080] Among them, M A , M B 、M C and M D is the admittance of the four plate mounting points A, B, C and D; N 1 , N 2 and N 3 are the proportional coefficients between the transmitted forces,

[0081] For example, the transmission force expression of mechanical power equipment-two-stage vibration isolation system-thin plate foundation can be expressed as follows (3):

[0082]

[0083] Where TF is the force transmission rate;

[0084] C 1 =A 1 B 3 -A 2 B 4 +A 3 B 1 M A +B 1 A 3 M A -B 2 A 4 M A ;

[0085] C 2 =A 1 B 4 +A 2 B 3 +B 1 A 4 M A +B 2 A 3 M A ;

[0086] For other points B, C and D, about M in the above formula A and F A , M A By M B ,

[0087] M C and M D Replacement, F A By F B , F C and F D Replace, where F A , F B , F C

[0088] and F D is the transmitted force at four points;

[0089] C 3 =A 3 B 3 -A 4 B 4 ; C 4 =A 3 B 4 +B 3 A 4 ;

[0090] A 1 =n 1 -n 2 ×(2ξ2 ) 2 θ 2 -n 1 θ 2 -uθ 2 +uθ 4 -n 1 uθ 2 ;

[0091] A 2 =n 1 ×2ξ 2 θ+n 2 ×2ξ 2 θ-n 2 ×2ξ 2 θ 3 -u×2ξ 2 θ 3 ;

[0092] A 3 =n 1 -n 2 ×(2ξ 2 ) 2 θ 2 ; A 4 =n 1 ×2ξ 2 θ+n 2 ×2ξ 2 θ;

[0093]

[0094] B 3 =n 1 ; B 4 =n 2 ×2ξ 2 θ;

[0095] Where m1 is the mass of the mechanical equipment, m2 is the mass of the secondary system, and u = m 1 / m 2 ;n 1 =k 1 / k 2 ;n 2 =c 1 / c 2 , k1 is the stiffness of the primary system, c 1 is the damping coefficient of the primary system, k2 is the stiffness of the secondary system, c 2 is the damping coefficient of the primary system;

[0096] Based on the previously derived transmission force and fixed thin plate vibration theory, the vibration velocity at the four-point support of the mechanical power equipment-single-stage (two-stage) vibration isolation system-thin plate foundation is calculated. When calculating, it is necessary to differentiate the vibration displacement to obtain the vibration velocity, such as mathematical operations such as the derivative of the displacement function. According to the specific vibration model and derivation results, the vibration velocity at the four-point support is accurately calculated to provide the necessary data for the subsequent power flow calculation.

[0097] The power flow concept of the thin plate vibration caused by the mechanical equipment vibration isolation system is introduced, and the transmission force and speed of the mechanical power equipment on the plate are fully considered. According to the calculation method of multi-point excitation power flow, the power flow of the single-stage or two-stage vibration isolator at the four-point support position on the thin plate is calculated. For example, according to the power flow calculation formula, the transmission force and vibration speed obtained above are substituted to calculate the power flow value of each support point.

[0098] Power flows are known in the art. For example, is represented by the forces excited by the vibrating infrastructure; represents the velocity response. Therefore, the power input to the structure can be expressed as P = F(t)·V(t). For any time period T, the vibration power flow P can be written as:

[0099] That is to say

[0100] in, and is a complex vector. The above formula can be further simplified as: Where * represents the complex conjugate operation.

[0101] When the infrastructure is subject to multiple excitations, the total power flow is equal to the sum of all power flows generated by each force, since the power flow is scalar. The n forces are F 1 , F 2 , …, F n ; The induced velocity response of each force is V 1 , V 2 , …, V n , so the power flow can be expressed as:

[0102] Where H represents the conjugate transpose operation.

[0103] Then multi-objective optimization is performed and parameter optimization is achieved.

[0104] In the present invention, two objective functions are defined: reducing the maximum power flow transmitted to the plate and ensuring the reduction of equipment vibration, and a multi-objective optimization problem is constructed. The influence of the vibration transmitted from the mechanical power equipment to the thin plate on the external environment (reflected by the maximum power flow) and the influence of the equipment's own vibration on its durability and work safety (reflected by the reduction of equipment vibration) are comprehensively considered, and the specific form of the objective function and the weight distribution are determined, providing a clear direction for the optimization calculation.

[0105] In the implementation scheme, a multi-objective particle swarm optimization algorithm is introduced to optimize the defined multi-objective function. First, the optimization range of the parameters (such as stiffness and damping) of the single-stage or two-stage vibration isolation system is determined, which can be comprehensively determined based on factors such as engineering experience, material properties and equipment requirements. At the same time, the parameters of the multi-objective particle swarm optimization algorithm itself, such as the number of particles, the number of iterations, the learning factor, etc., are set. Then, through the iterative calculation of the algorithm, the optimal solution is continuously sought, and finally the optimal design parameters of the structure-power equipment coupling system of the industrial upper floor are obtained. These parameters can provide direct and effective guidance for the design and structural optimization of the vibration isolation system in actual engineering. In the entire implementation process, each step is reasonably adjusted and optimized according to the actual situation to ensure the accuracy and effectiveness of the method. For example, when dividing the model grid, if the accuracy is found to be insufficient, the grid can be further refined; when setting the algorithm parameters, the most suitable parameter combination for this problem can be found through multiple experiments. At the same time, the calculation results should be verified and analyzed, compared with the actual engineering situation, and the implementation process of the present invention should be continuously improved and perfected to achieve the best vibration control effect.

[0106] Figure 7 Schematic diagram of a vibration control and analysis device for a structure-power equipment coupling system for industrial building construction according to an embodiment of the present invention. Figure 7As shown, the device includes: a composite vibration control system setting and placement module 210, which is used to regard the mechanical power equipment, single-stage or two-stage vibration isolation system and floor or thin plate foundation of the industrial building as a composite vibration control system, and to place the mechanical power equipment at four positions on the floor or thin plate foundation according to its actual size and vibration isolation system design; a floor or thin plate foundation vibration expression establishment module 220, which is used to regard the floor or thin plate foundation as a fixed support, and to establish the floor or thin plate foundation vibration expression according to the harmonic vibration excitation generated by the mechanical power equipment; a mechanical power equipment-single-stage vibration isolation system-thin plate foundation transmission force expression establishment module 230, which is used to derive the transmission force expression from the mechanical power equipment-single-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method, so as to serve as the input of the floor or thin plate foundation vibration in step 2; a mechanical power equipment-two-stage vibration isolation system-thin plate foundation transmission force expression establishment module 240: which is used to derive the transmission force expression from the mechanical power equipment-two-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method. The transmission force expression of the vibration system-thin plate foundation is used as the input of the floor or thin plate foundation vibration in step 2; the vibration velocity calculation module 250 at the four-point support is used to calculate the vibration velocity at the four-point support of the mechanical power equipment-single-stage vibration isolation system-thin plate foundation and the mechanical power equipment-two-stage vibration isolation system-thin plate foundation based on the floor or thin plate foundation vibration expression establishment module and the mechanical power equipment-single-stage vibration isolation system-thin plate foundation transmission force expression establishment module and the floor or thin plate foundation vibration expression establishment module and the mechanical power equipment-two-stage vibration isolation system-thin plate foundation transmission force expression establishment module; the power flow introduction module 260 is used to introduce the power flow of the thin plate vibration caused by the mechanical equipment vibration isolation system; the multi-objective optimization module 270 is used to define two objective functions to reduce the maximum power flow transmitted to the plate and ensure the reduction of equipment vibration, as objects, and carry out multi-objective optimization; the design parameter optimization module 280 obtains the optimized design parameters of the structure-power equipment coupling system of the industrial upper building based on the multi-objective optimization module.

[0107] Figure 8 A schematic diagram of the structure of an electronic device provided by an embodiment of the present invention is shown in FIG. Figure 8 As shown, the electronic device includes a processor 310, a memory 320, an input device 330 and an output device 340; the number of the processor 310 in the electronic device can be one or more. Figure 8 A processor 310 is taken as an example; the processor 310, the memory 320, the input device 330 and the output device 340 in the electronic device can be connected via a bus or other means. Figure 8 The example of connecting through bus is taken in the following.

[0108] The memory 320, as a computer-readable storage medium, can be used to store software programs, computer executable programs and modules, such as program instructions / modules corresponding to the vibration control analysis method for the structure-power equipment coupling system for industrial building in the embodiment of the present invention (for example, the composite vibration control system setting and placement module 210; the floor or thin plate foundation vibration expression establishment module 220; the mechanical power equipment-single-stage vibration isolation system-thin plate foundation transmission force expression establishment module 230; the mechanical power equipment-two-stage vibration isolation system-thin plate foundation transmission force expression establishment module 240; the four-point support vibration velocity calculation module 250; the power flow introduction module 260; the multi-objective optimization module 270; the design parameter optimization module 280. The processor 310 executes various functional applications and data processing of the electronic device by running the software programs, instructions and modules stored in the memory 320, that is, realizes the above-mentioned vibration control analysis method for the structure-power equipment coupling system for industrial building.

[0109] This embodiment can achieve beneficial technical effects, including:

[0110] 1. Accurate vibration prediction and control

[0111] Accurately construct a composite vibration control system, comprehensively consider the interaction between mechanical power equipment, vibration isolation system and floor (thin plate foundation), and achieve accurate prediction of industrial upper floor structure vibration. By establishing a theoretical model of fixed thin plate vibration, deriving the expression of transmission force, and calculating vibration velocity and power flow, we can deeply understand the generation and transmission mechanism of vibration in the system, thus providing a reliable basis for accurate vibration control, controlling the vibration impact within the allowable range, and ensuring the safety of the floor structure and the normal operation of the equipment.

[0112] 2. Optimize vibration isolation design

[0113] Based on multi-objective optimization, it takes into account both reducing the maximum power flow transmitted to the board and ensuring that the equipment vibration is reduced, providing a comprehensive and scientific optimization solution for the design of the vibration isolation system. Determine the optimal stiffness, damping and other parameters of the single-stage or two-stage vibration isolation system to maximize the vibration isolation effect. The optimized vibration isolation design can effectively isolate equipment vibration, reduce the transmission of vibration energy to the floor and the surrounding environment, improve vibration isolation efficiency, and reduce the risk of vibration damage to the structure and equipment.

[0114] 3. Improve equipment operation stability and life

[0115] Reduce the vibration level of the equipment itself, ensure the stability of the equipment during operation, and improve working accuracy and reliability. Reduce the wear and fatigue damage of the internal parts of the equipment caused by vibration, significantly extend the service life of the equipment, reduce equipment maintenance costs, improve industrial production efficiency, ensure the long-term stable operation of industrial upstairs projects, and enhance the economic benefits and competitiveness of enterprises.

[0116] 4. Ensure structural safety and environmental friendliness

[0117] Effectively control the impact of vibration on the floor structure, reduce the risk of cracks, deformation and even damage to the structure due to long-term vibration, and ensure the safety and durability of industrial building structures. At the same time, reduce the spread of vibration to the surrounding environment, reduce interference with surrounding personnel, equipment and buildings, create a good working and living environment, and meet the requirements of environmental protection and sustainable development.

[0118] 5. Provide engineering practice guidance

[0119] The obtained optimized design parameters can be directly applied to the actual engineering design, construction and renovation of industrial building projects, providing engineers with clear and feasible technical guidance. It helps to reasonably select vibration isolation equipment, optimize the floor structure design, improve the quality of the project, reduce engineering changes and later maintenance costs, and promote the smooth implementation and development of industrial building projects, which has important practical application value and social benefits.

[0120] The above description of the embodiments is intended to facilitate the understanding and application of the present invention by those skilled in the art. It is obvious that those skilled in the art can easily make various modifications to these embodiments and apply the general principles described herein to other embodiments without creative work. Therefore, the present invention is not limited to the embodiments herein, and improvements and modifications made without departing from the scope of the present invention should be within the scope of protection of the present invention.

Claims

1. A vibration control analysis method for a structure-power equipment coupling system for industrial buildings, characterized in that: include: Step 1: Consider the mechanical power equipment, single-stage or two-stage vibration isolation system and floor slab or thin-slab foundation of the industrial building as a composite vibration control system, and place the mechanical power equipment at four positions on the floor slab or thin-slab foundation according to its actual size and vibration isolation system design; Step 2: Consider the floor or thin plate foundation as a fixed support, and establish the vibration expression of the floor or thin plate foundation according to the harmonic vibration excitation generated by the mechanical power equipment (1): Where: F is the force amplitude, B = Eh 3 / [12(1-υ 2 )] is the bending stiffness of the thin plate; E is Young's modulus; υ is Poisson's ratio; ρ s =ρh is the surface density of the thin plate, ρ is the volume density; (x, y) is an arbitrary random discrete point on the plate, (x′, y′) is the position where the external vibration load is applied on the plate, Ψ(·) is the mode function, ω is the circular frequency; Step 3: Based on the mechanical four-terminal connection principle and the admittance method, derive the expression (2) of the transmission force from the mechanical power equipment-single-stage vibration isolation system-thin plate foundation to serve as the input of the floor slab or thin plate foundation vibration in step 2; Among them, M A , M B 、M C and M D is the admittance of the four plate mounting points A, B, C and D; N1, N2 and N3 are the proportional coefficients between the transmitted forces, Step 4: Based on the mechanical four-terminal connection principle and the admittance method, derive the expression (3) of the transmission force from the mechanical power equipment-two-stage vibration isolation system-thin plate foundation to serve as the input of the floor slab or thin plate foundation vibration in step 2; Among them, T F is the force transmission rate; <h2 style=";text-align:left;direction:ltr">C1=A1B3-A2B4+A3B1M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> +B1A3M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> -B2A4M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> ; <h2 style=";text-align:left;direction:ltr">C2 = A1B4 + A2B3 + B1A4M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> +B2A3M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> ; For other points B, C and D, about M in the above formula A and F A , M A By M B , M C and M D Replacement, F A By F B , F C and F D Replace, where F A , F B , F C and F D is the transmitted force at four points; C3=A3B3-A4B4; C4=A3B4+B3A4; A1=n1-n2×(2ξ2) 2 i 2 -n1θ 2 -uθ 2 +uθ 4 -n1uθ 2 ; <h2 style=";text-align:left;direction:ltr">A2 = n1×2ξ2θ + n2×2ξ2θ - n2×2ξ2θ<h2 style=";text-align:left;direction:ltr"> 3 <h2 style=";text-align:left;direction:ltr"> -u×2ξ2θ<h2 style=";text-align:left;direction:ltr"> 3 <h2 style=";text-align:left;direction:ltr"> ; A3=n1-n2×(2ξ2) 2 i 2 ; A4=n1×2ξ2θ+n2×2ξ2θ; B3=n1; B4=n2×2ξ2θ Where m1 is the mass of the mechanical equipment, m2 is the mass of the secondary system, u = m1 / m2; n1 = k1 / k2; n2 = c1 / c2, k1 is the stiffness of the primary system, c1 is the damping coefficient of the primary system, k2 is the stiffness of the secondary system, and c2 is the damping coefficient of the primary system; Step 5, based on steps 2 and 3 and steps 2 and 4, respectively calculate the vibration velocity at the four-point supports of the mechanical power equipment-single-stage vibration isolation system-thin plate foundation and the mechanical power equipment-two-stage vibration isolation system-thin plate foundation; Step six, introducing the power flow of the mechanical equipment vibration isolation system to cause the thin plate vibration; Step 7, defining two objective functions, namely, reducing the maximum power flow transmitted to the board and ensuring the reduction of equipment vibration, as objects, and carrying out multi-objective optimization; and Step eight, obtain the optimized design parameters of the structure-power equipment coupling system of the industrial building.

2. The vibration control analysis method for the structure-power equipment coupling system for industrial building construction according to claim 1 is characterized by: The step 1 includes dividing the floor slab or thin plate foundation into a model grid with a certain accuracy to match the size of the mechanical power equipment and accurately place a single-stage or two-stage vibration isolation system.

3. The vibration control analysis method for the structure-power equipment coupling system for industrial building construction according to claim 1 is characterized by: The step five includes differential calculation from vibration displacement to vibration velocity.

4. The vibration control analysis method for the structure-power equipment coupling system for industrial building construction according to claim 1 is characterized by: In the step six, the power flow is calculated according to the multi-point excitation power flow, taking into account the transmission force and speed of the mechanical power device on the board.

5. The vibration control analysis method for the structure-power equipment coupling system for industrial building construction according to claim 1 is characterized by: The step seven includes introducing a multi-objective particle swarm optimization algorithm to carry out multi-objective optimization.

6. A vibration control and analysis device for the structure-power equipment coupling system used for industrial building construction, characterized in that: include: The composite vibration control system setting and placement module is used to treat the mechanical power equipment, single-stage or two-stage vibration isolation system and floor slab or thin-slab foundation of the industrial building as a composite vibration control system, and to place the mechanical power equipment at four positions on the floor slab or thin-slab foundation according to its actual size and vibration isolation system design; The module for establishing the vibration expression of the floor or thin slab foundation is used to regard the floor or thin slab foundation as a fixed support and establish the vibration expression of the floor or thin slab foundation according to the harmonic vibration excitation generated by the mechanical power equipment (1): Where: F is the force amplitude, B = Eh 3 / [12(1-v 2 )] is the bending stiffness of the thin plate; E is Young's modulus; υ is Poisson's ratio; ρ s =ρh is the surface density of the thin plate, ρ is the volume density; (x, y) is an arbitrary random discrete point on the plate, (x′, y′) is the position where the external vibration load is applied on the plate, Ψ(·) is the mode function, ω is the circular frequency; A module for establishing a transmission force expression of mechanical power equipment-single-stage vibration isolation system-thin plate foundation is used to derive the transmission force expression (2) from mechanical power equipment-single-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method, so as to serve as the input of the floor slab or thin plate foundation vibration in step 2; Among them, M A , M B 、M C and M D is the admittance of the four plate mounting points A, B, C and D; N1, N2 and N3 are the proportional coefficients between the transmitted forces, A module for establishing a transmission force expression of mechanical power equipment-two-stage vibration isolation system-thin plate foundation is used to derive the transmission force expression (3) from mechanical power equipment-two-stage vibration isolation system-thin plate foundation according to the mechanical four-terminal connection principle and the admittance method, so as to serve as the input of the floor slab or thin plate foundation vibration in step 2; Among them, T F is the force transmission rate; <h2 style=";text-align:left;direction:ltr">C1=A1B3-A2B4+A3B1M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> +B1A3M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> -B2A4M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> ; <h2 style=";text-align:left;direction:ltr">C2 = A1B4 + A2B3 + B1A4M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> +B2A3M<h2 style=";text-align:left;direction:ltr"> A <h2 style=";text-align:left;direction:ltr"> ; For other points B, C and D, about M in the above formula A and F A , M A By M B , M c and M D Replacement, F A By F B , F C and F D Replace, where F A , F B , F C and F D is the transmitted force at four points; C3=A3B3-A4B4; C4=A3B4+B3A4; A1=n1-n2×(2ξ2) 2 i 2 -n1θ 2 -uθ 2 +uθ 4 -n1uθ 2 ; A2=n1×2ξ2θ+n2×2 ξ2 θ-n2×2ξ2θ 3 -u×2ξ2θ 3 ; A3=n1-n2×(2ξ2) 2 i 2 ; A4=n1×2ξ2θ+n2×2ξ2θ; B3=n1; B4=n2×2ξ2θ Where m1 is the mass of the mechanical equipment, m2 is the mass of the secondary system, u = m1 / m2; n1 = k1 / k2; n2 = c1 / c2, k1 is the stiffness of the primary system, c1 is the damping coefficient of the primary system, k2 is the stiffness of the secondary system, and c2 is the damping coefficient of the primary system; A vibration velocity calculation module at four-point support, which is used to calculate the vibration velocity at the four-point support of mechanical power equipment-single-stage vibration isolation system-thin plate foundation and mechanical power equipment-two-stage vibration isolation system-thin plate foundation respectively based on the vibration expression establishment module of the floor or thin plate foundation and the transmission force expression establishment module of the mechanical power equipment-single-stage vibration isolation system-thin plate foundation, as well as the vibration expression establishment module of the floor or thin plate foundation and the transmission force expression establishment module of the mechanical power equipment-two-stage vibration isolation system-thin plate foundation; The power flow introduction module is used to introduce the power flow of the thin plate vibration caused by the vibration isolation system of the mechanical equipment; A multi-objective optimization module, for defining two objective functions, namely, reducing the maximum power flow transmitted to the board and ensuring the reduction of equipment vibration, as objects, and performing multi-objective optimization; and Design parameter optimization module, based on the multi-objective optimization module, obtains the optimal design parameters of the structure-power equipment coupling system of the industrial building.

7. An electronic device, characterized in that: include: memory and one or more processors; The memory is used to store one or more programs; When the one or more programs are executed by the one or more processors, the one or more processors implement the method according to any one of claims 1 to 5.

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