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

Abstract

The invention discloses a structure-precision equipment coupling system vibration control analysis method for industrial upstairs. The method comprises the following steps: taking industrial upstairs mechanical precision equipment, a single-stage or two-stage vibration isolation system and a floor system or a thin plate foundation as composite vibration control systems, and arranging the composite vibration control systems at four positions on the floor system or the thin plate foundation; taking a floor system or a thin plate foundation as a fixed support, and establishing a thin plate vibration expression under harmonic vibration excitation; according to a mechanical four-end connection principle and an admittance method, a displacement amplitude transmissibility expression from a thin plate foundation to a single (two)-stage vibration isolation system to mechanical precision equipment is deduced; calculating the transfer peak displacement at the four-point support position of the thin plate foundation, and defining the maximum value as a first target function; the variance of the vibration displacement of the four placement points is defined to serve as a second target function; introducing a multi-target particle swarm optimization algorithm; and optimal design parameters of an industrial upstairs structure and precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate 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-precision equipment coupling system used for industrial building construction. For example, the method can be applied to solving vibration problems caused by the operation of precision equipment during industrial building construction and to the rational layout of equipment, so as to ensure the normal operation of precision equipment, the safety of the structure and the high efficiency of industrial production. Background Art

[0002] With the development of industry and the increasing shortage of urban land resources, the mode of industrial building construction has gradually emerged, and many industrial enterprises have moved their production equipment to the floor of the building. In this process, the vibration problem of industrial precision equipment has become a key factor restricting the development of industrial building construction. The vibration generated by precision equipment during operation will have a serious impact on the performance, accuracy and service life of the equipment itself, and will also threaten the safety and stability of the floor structure, and may even interfere with the normal operation of other surrounding equipment, affecting the efficiency and quality of the entire industrial production.

[0003] Traditional vibration isolation design methods have exposed obvious deficiencies when facing the vibration problems of precision equipment in industrial building construction. Previous vibration isolation designs are often based on an assumption that the foundation is absolutely rigid, thus ignoring the important role of foundation vibration in the vibration transmission process of equipment. In the actual situation of industrial building construction, when the external excitation frequency is high and the stiffness of the floor foundation is relatively low, traditional vibration isolation strategies are difficult to achieve ideal results. At this time, not only can the vibration not be effectively isolated, but it may also cause the dynamic performance of the vibration isolation system to deteriorate, and fail to meet the strict requirements of precision equipment for vibration control, which seriously hinders the smooth implementation of industrial building construction projects and the efficient conduct of industrial production.

[0004] Therefore, there is an urgent need for a new and more effective vibration control analysis method to solve the vibration problem of precision equipment in industrial stair-climbing scenarios and ensure the stable and sustainable development of industrial production. Summary of the invention

[0005] In view of the above problems, the present invention provides a vibration control analysis method for a structure-precision equipment coupling system for industrial building construction, aiming to solve the vibration and layout optimization problems of precision equipment in industrial building construction.

[0006] More specifically, according to one aspect of the present invention, a vibration control analysis method for a structure-precision equipment coupling system for industrial buildings is provided, comprising:

[0007] Step 1: Consider the mechanical precision 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 precision equipment at four positions on the floor slab or thin-slab foundation according to its actual size and vibration isolation system design;

[0008] Step 2: Consider the floor or thin plate foundation as a fixed support, subject to harmonic vibration excitation, and establish the thin plate vibration expression (1):

[0009]

[0010] 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;

[0011] Step 3: Based on the mechanical four-terminal connection principle and the admittance method, establish the displacement amplitude transfer rate expression (2) from thin plate foundation-single-stage vibration isolation system-mechanical precision equipment;

[0012]

[0013] Among them, X is the displacement of a certain point on the thin plate caused by the vibration load, Xend is the displacement of the precision equipment, T d is the transmission rate, ξ=c / (2mω 0 ), E=Z m / m, Zm is the force impedance of the equipment, k is the stiffness of the vibration isolator, c is the damping of the vibration isolator, and m is the mass of the precision equipment;

[0014] Step 4: Based on the mechanical four-terminal connection principle and the admittance method, establish the displacement amplitude transfer rate expression (3) from thin plate foundation-two-stage vibration isolation system-mechanical precision equipment;

[0015]

[0016] Where: C 1 =A 3 B 3 Z m -A 4 B 4 ;

[0017] C 2 =A 3 B 4 +A 4 B 3 ;

[0018] C 3 =A 1 B 3 Z m -A 2 B 4 Z m +A 3 B 1 -A 4 B 2 ;

[0019] C 4 =A 1 B 4 Z m +A 2 B 3 Z m +A 4 B 1 +A 3 B 2 ;

[0020] A 1 =n 2 +1-uθ 2 ;

[0021] A 2 =n 1 ×2ξ 1 θ+2ξ 1 I;

[0022] A 3 =n 2 k 1 -n 1 ×2ξ 1 c 1 oh ref ;

[0023] A 4 =n 2 k 1 ×2ξ 1 θ+k 1 n 1 ×2ξ 1 I;

[0024] B 1 =-θ 2 +n 2 -n 2 i 2 -uθ 2 +uθ 4 -n 1 (2x) 1 ) 2 i 2 ;

[0025] B 2 =-2ξ 1 θ 3 +n 2 ×2ξ 1 θ+n 1 ×2ξ 1 θ-n 1 ×2ξ 1 θ 3 -u×2ξ 1 θ 3 ;

[0026] B 3 =n 2 -n 1 (2ξ 1 ) 2 θ 2 ;

[0027] B 4 =n 2 ×2ξ 1 θ+n 1 ×2ξ 1 θ;

[0028] Where u = m 2 / m 1 , n 1 =k 2 / k 1 , n 2 =c 2 / c 1 ,

[0029] m1 is the mass of the precision equipment, m2 is the mass of the secondary system, k1 is the stiffness of the primary system, k2 is the stiffness of the secondary system, c1 is the damping of the primary system, c2 is the damping of the secondary system, ω ref is the circular frequency of the vibration load,

[0030] Step 5, based on steps 2 and 3 and steps 2 and 4, respectively calculate the four peak displacements of transmission under the four-point support conditions of thin plate foundation-single-stage vibration isolation system-mechanical precision equipment and thin plate foundation-two-stage vibration isolation system-mechanical precision equipment, and define the maximum value as objective function 1;

[0031] Step 6: Consider the uniformity and coordination of the vibration of the four points where the precision equipment is installed to ensure the stable operation of the precision equipment, and define the variance of the vibration displacement of the four points where the precision equipment is installed as the second objective function;

[0032] Step 7: introduce the multi-objective particle swarm optimization algorithm and define the algorithm parameters; and

[0033] Step eight, obtain the optimized design parameters of the industrial building structure-precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate.

[0034] 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 precision equipment and accurately place a single-stage or two-stage vibration isolation system.

[0035] According to an embodiment of the present invention, the step 2 further comprises calculating the vibration displacement response of the thin plate caused by force excitation acting on the thin plate.

[0036] According to an embodiment of the present invention, step five also includes consideration of the position traversal search performed when the precision device is placed at four points on the thin plate.

[0037] According to an embodiment of the present invention, step eight includes traversing and searching four-point placement positions on the thin plate to achieve the optimal placement position, that is, to achieve the optimal process layout for the precision equipment to go upstairs.

[0038] According to another aspect of the present invention, there is provided a vibration control and analysis device for a structure-precision equipment coupling system for industrial building construction, comprising:

[0039] The composite vibration control system setting and placement module is used to treat the mechanical precision equipment, single-stage or two-stage vibration isolation system and floor slab or thin plate foundation of the industrial building as a composite vibration control system, and to place the mechanical precision equipment at four positions on the floor slab or thin plate foundation according to its actual size and vibration isolation system design;

[0040] The module for establishing the vibration expression of the floor or thin plate foundation is used to regard the thin plate as a fixed support and establish the above-mentioned vibration expression of the thin plate (1) under the excitation of harmonic vibration:

[0041] A module for establishing the displacement amplitude transmissibility expression of thin plate foundation-single-stage vibration isolation system-mechanical precision equipment is used to establish the above displacement amplitude transmissibility expression (2) from thin plate foundation*single-stage vibration isolation system*precision equipment based on the mechanical four-terminal connection principle and the admittance method;

[0042] A module for establishing the displacement amplitude transmissibility expression of thin plate foundation - two-stage vibration isolation system - mechanical precision equipment is used to establish the above displacement amplitude transmissibility expression (3) from thin plate foundation - two-stage vibration isolation system * precision equipment based on the mechanical four-terminal connection principle and the admittance method;

[0043] The calculation module for expressing the peak displacement at four-point support is used to calculate the four peak displacements under the four-point support conditions of thin plate foundation-single-stage vibration isolation system-mechanical precision equipment and thin plate foundation*two-stage vibration isolation system*mechanical precision equipment respectively based on steps two and three and steps two and four, and define the maximum value as objective function one;

[0044] The variance definition module of the four-point vibration displacement is used to consider the uniformity and coordination of the four-point vibration of the precision equipment to ensure the stable operation of the precision equipment, and define the variance of the four-point vibration displacement as the second objective function;

[0045] A multi-objective particle swarm optimization algorithm introduction module is used to introduce the multi-objective particle swarm optimization algorithm and define the algorithm parameters; and

[0046] Design parameter optimization module, based on the multi-objective particle swarm optimization algorithm, introduces the module to obtain the optimal design parameters of the industrial building structure*precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate.

[0047] According to another aspect of the present invention, there is also provided an electronic device, comprising: a memory and one or more processors;

[0048] 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.

[0049] The present invention can realize precise control of the vibration of precision equipment by constructing a composite vibration control system, accurately deriving the displacement amplitude transmission rate and the transmission peak displacement, effectively reducing the impact of vibration on precision equipment, protecting the precision parts inside the equipment from vibration damage, extending the service life of the equipment, ensuring that the equipment always maintains high precision and high stability during operation, improving the quality of production products, and enhancing the competitiveness of enterprises in the market.

[0050] Considering the uniformity and coordination of the four-point vibration of precision equipment, the variance of the four-point vibration displacement is used as the objective function for optimization, which not only ensures the stable operation of the equipment, but also provides a scientific basis for the reasonable layout of precision equipment on the thin plate. By obtaining the optimal placement position, the optimal process layout of the precision equipment on the upper floor is realized, the mutual interference between equipment is reduced, and the smoothness of the production process is improved, thereby significantly improving industrial production efficiency, reducing production costs, and creating greater economic benefits for enterprises.

[0051] Effective control of vibration reduces the transmission of vibration energy to the floor structure, reduces the risk of cracks, deformation and even damage to the floor structure due to long-term vibration, and ensures the safety and durability of industrial building structures. This provides enterprises with a stable and reliable production environment, avoids production interruptions and equipment damage caused by structural problems, and ensures the normal production and operation of enterprises.

[0052] The method takes into account single-stage or two-stage vibration isolation systems, and can flexibly adjust the parameters of the vibration isolation system through a multi-objective particle swarm optimization algorithm, which can adapt to the characteristics and requirements of different types of precision equipment and floor structures. Whether it is for new industrial floor projects or for the renovation and upgrading of existing projects, it has strong practicality and operability, providing enterprises with a variety of choices and helping them to formulate the most suitable vibration control and equipment layout plan according to their actual conditions.

[0053] It fills the gap in the analysis of vibration control and process layout optimization methods for structure-precision equipment coupling systems in industrial building-up scenarios, and provides an innovative solution for precision equipment vibration control in industrial building-up projects. The application of this invention will promote the development of precision equipment layout and vibration control technology in related industries, prompting companies to pay more attention to the optimization of production environment and the refinement of equipment management, and improve the technical level and production management level of the entire industry. BRIEF DESCRIPTION OF THE DRAWINGS

[0054] Figure 1 A schematic flow chart of a vibration control analysis method for a structure*precision equipment coupling system for industrial building construction according to an embodiment of the present invention;

[0055] Figure 2 A schematic diagram of the model structure of a mechanical precision equipment*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;

[0056] Figure 3 It is a schematic diagram of force transmission of a mechanical precision equipment*vibration isolation system*thin plate foundation composite system according to an embodiment of the present invention;

[0057] Figure 4 A schematic diagram of the traversal of the four-point placement of precision equipment on a thin plate foundation according to the vibration control analysis method of the precision equipment coupling system for industrial building structures according to the embodiment of the present invention;

[0058] Figure 5 is a schematic structural diagram of a vibration control and analysis device for a structure-precision equipment coupling system for industrial building construction according to an embodiment of the present invention, and

[0059] Figure 6 Schematic diagram of the structure of an electronic device according to an embodiment of the present invention. DETAILED DESCRIPTION

[0060] 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.

[0061] It should be understood that the models and tools involved in the present invention, such as the four-terminal connection principle and the admittance method, variance, particle swarm optimization algorithm, etc., are themselves known. Therefore, the present invention focuses on how to combine and optimize the above-mentioned various tools or models to design the present invention's process of vibration control analysis technology for industrial building structure*precision equipment coupling system.

[0062] Figure 1 The figure is a flow chart of the vibration control analysis method for the structure and precision equipment coupling system of industrial buildings according to the embodiment of the present invention. Figure 1 According to an embodiment of the present invention, a vibration control analysis method for a structure-precision equipment coupling system for industrial buildings may include:

[0063] First of all, the mechanical precision equipment, single-stage or two-stage vibration isolation system, and floor (thin plate foundation) on the industrial floor are considered as a composite vibration control system. According to the actual size of the precision equipment and the design of the vibration isolation system, the precision equipment is accurately placed at four specific positions on the thin plate. At the same time, the thin plate foundation is modeled and meshed. For example, a certain number of grids can be divided per meter (the specific number is determined according to the actual accuracy requirements) to ensure that the grid size is compatible with the size of the precision equipment, so that the single-stage or two-stage vibration isolation system can be accurately placed, laying the foundation for subsequent analysis and optimization.

[0064] Figure 2 A schematic diagram of the model structure of a mechanical precision equipment*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 precision equipment-vibration isolation system-thin plate foundation composite system according to an embodiment of the present invention. That is, Figure 2-3 The figure shows a schematic diagram of mechanical precision equipment-vibration isolation system-thin plate foundation calculation and force delivery, where I represents the precision equipment, II represents the isolator, including stiffness and damping components, and III represents the clamped rectangular thin plate foundation. m is the mass of the precision equipment supported by four vibration isolators fixed 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 concentrated harmonic excitation force on the thin plate is expressed as Fe jωt, F is the amplitude, ω is the circular frequency; 1, 2, and 3 are regarded as a composite seismic isolation system, O is the coordinate origin, and A, B, C, and D are the four corners of the equipment.

[0065] The thin plate is regarded as a fixed state, and a thin plate vibration expression is established based on harmonic vibration excitation. This expression can accurately calculate the vibration displacement response of the thin plate under force excitation. For example, the relevant structural dynamics theory and research results can be referred to, combined with the material properties, geometric dimensions and specific conditions of the thin plate in the present invention, to determine the various parameters and function forms in the expression, so as to construct a theoretical model that can accurately describe the vibration behavior of the thin plate, providing a basic basis for subsequent vibration transmission analysis. For example, the thin plate vibration expression can be the following formula (1)

[0066]

[0067] 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;

[0068] Ψ MN (x, y) can be, for example, Ψ MN (x, y) = θ M (x)ζ N (y), where:

[0069]

[0070] J(·)=cosh(·)-cos(·), H(·)=sinh(·)-sin(·),β i It is the root of cosh(β)cos(β)=1;

[0071]

[0072] The values ​​of i, M, and N can be 1-6.

[0073] Then the displacement amplitude transmissibility is derived, including single-stage and two-stage vibration isolation systems.

[0074] Using the mechanical four-terminal connection principle and the admittance method, we derive the displacement amplitude transmissibility expressions from thin plate foundation-single-stage vibration isolation system-precision equipment and from thin plate foundation*two-stage vibration isolation system*precision equipment. In the derivation process, we carefully analyze the mechanical properties and parameter relationships of each connection part, determine the various parameters of the four-terminal connection (such as the expressions of mass, stiffness, damping and other related parameters), and derive an accurate displacement amplitude transmissibility expression through mathematical deduction. Combined with the vibration isolation system structure and the characteristics of precision equipment in actual engineering, we ensure that the derivation results can accurately reflect the vibration transmission law in the system and provide key calculation formulas for the subsequent calculation of the peak displacement of the transmission.

[0075] For example, the displacement amplitude transmissibility expression of mechanical precision equipment*single-stage vibration isolation system*thin plate foundation can be expressed as follows (2):

[0076]

[0077] Among them, X is the displacement of a certain point on the thin plate caused by the vibration load, Xend is the displacement of the precision equipment, T d is the transmission rate, ξ=c / (2mω 0 ), E=Z m / m, Zm is the force impedance of the equipment, k is the stiffness of the vibration isolator, c is the damping of the vibration isolator, and m is the mass of the precision equipment;

[0078] For example, the displacement amplitude transmissibility expression of mechanical precision equipment*two-stage vibration isolation system*thin plate foundation can be expressed as follows (3):

[0079]

[0080] Where: C 1 =A 3 B 3 Z m -A 4 B 4 ;

[0081] C 2 =A 3 B 4 +A 4 B 3 ;

[0082] C 3 =A 1 B 3 Z m -A 2 B 4 Z m +A 3 B 1 -A 4 B 2 ;

[0083] C 4 =A 1 B 4 Z m +A 2 B 3 Z m +A 4 B 1 +A 3 B 2 ;

[0084] A 1 =n 2 +1-uθ 2 ;

[0085] A 2 =n 1 ×2ξ 1 θ+2ξ 1 I;

[0086] A 3 =n 2 k 1 -n 1 ×2ξ 1 c 1 oh ref ;

[0087] A 4 =n 2 k 1 ×2ξ 1 θ+k 1 n 1 ×2ξ 1 I;

[0088] B 1 =-θ 2 +n 2 -n 2 i 2 -uθ 2 +uθ 4 -n 1 (2x) 1 ) 2 i 2 ;

[0089] B 2 =-2ξ 1 i 3 +n 2 ×2ξ 1 θ+n 1 ×2ξ 1 θ-n 1 ×2ξ 1 i 3 -u×2ξ 1 i3 ;

[0090] B 3 =n 2 -n 1 (2ξ 1 ) 2 θ 2 ;

[0091] B 4 =n 2 ×2ξ 1 θ+n 1 ×2ξ 1 θ;

[0092] Where u = m 2 / m 1 , n 1 =k 2 / k 1 , n 2 =c 2 / c 1 ,

[0093] m1 is the mass of the precision equipment, m2 is the mass of the secondary system, k1 is the stiffness of the primary system, k2 is the stiffness of the secondary system, c1 is the damping of the primary system, c2 is the damping of the secondary system,

[0094] ω ref is the circular frequency of the vibration load,

[0095] Afterwards, the transfer peak displacement calculation and objective function definition are performed.

[0096] Based on the displacement amplitude transmissibility expression derived above and the clamped thin plate vibration theory, the four peak displacement expressions of precision equipment under the four-point support condition of the thin plate are calculated. During the calculation process, the vibration transmission conditions at different positions are analyzed in detail, and the influence of various factors on the vibration peak is considered. Then, the maximum value of the four peak displacements is defined as objective function 1, and the maximum value of the vibration displacement is directly controlled to reduce the adverse effects of vibration on precision equipment and floor structures.

[0097] At the same time, taking into full consideration the importance of uniformity and coordination of vibration of precision equipment to its stable operation, the variance of four-point vibration displacement is defined as objective function 2. The setting of this objective function is not only to suppress the maximum value of vibration displacement, but more importantly to meet the strict requirements of stability in the actual working environment of precision equipment. When defining the variance, it is necessary to comprehensively consider factors such as the working principle, accuracy requirements and surrounding environment of precision equipment to ensure that the objective function can accurately reflect the equipment's demand for vibration uniformity, thereby providing a reasonable direction for optimization calculation.

[0098] In the implementation plan, a multi-objective particle swarm optimization algorithm is introduced to first determine the optimization range of the parameters (such as stiffness and damping) of the single-stage or two-stage vibration isolation system. This can be comprehensively considered based on engineering experience, equipment requirements, material properties and other factors. For example, referring to the vibration isolation parameter setting range of similar equipment, combined with the special requirements of the precision equipment in the present invention and the bearing capacity of the floor structure, a reasonable optimization interval is determined. At the same time, the parameters of the multi-objective particle swarm optimization algorithm itself are set, such as the number of particles, the number of iterations, the learning factor, etc. The number of particles can be selected according to the complexity of the problem and the computing resources. The number of iterations must ensure that the algorithm can converge to a better solution, and the learning factor affects the search speed and direction of the particles. Then, through the iterative calculation of the algorithm, while traversing and searching the four-point placement positions of the precision equipment on the thin plate, the vibration isolation system parameters are continuously optimized. In the traversal search process, it is necessary to consider the influence of different positions on vibration transmission and equipment operation, and find the optimal placement position by comparing the objective function values ​​at different positions (see Appendix Figure 4 ). Finally, the optimized design parameters of the industrial structure-precision equipment coupling system are obtained, including the optimal vibration isolation system parameters and the optimal placement of precision equipment on the thin plate, so as to achieve the optimal process layout of precision equipment on the floor and improve industrial production efficiency and quality. Throughout the implementation process, each step should be flexibly adjusted and optimized according to the actual situation to ensure the accuracy and effectiveness of the method. For example, if it is found that there is a large deviation between the calculation results and the actual situation, the grid division of the thin plate foundation can be further refined to improve the calculation accuracy; when setting the algorithm parameters, the most suitable parameter combination for this problem can be found through multiple experiments to improve the optimization effect. 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 and equipment layout optimization effect.

[0099] Figure 5 Schematic diagram of a vibration control and analysis device for a structure-precision equipment coupling system for industrial buildings according to an embodiment of the present invention. Figure 5As shown, the device includes: a composite vibration control system setting and placement module 210, which is used to regard the mechanical precision equipment, single-stage or two-stage vibration isolation system and floor slab or thin plate foundation of the industrial building as a composite vibration control system, and to place the mechanical precision equipment at four positions on the floor slab or thin plate foundation according to its actual size and vibration isolation system design; a floor slab or thin plate foundation vibration expression establishment module 220, which is used to regard the thin plate as a fixed support and establish the thin plate vibration expression under the excitation of harmonic vibration; a thin plate foundation-single-stage vibration isolation system-mechanical precision equipment displacement amplitude transfer rate expression establishment module 230, which is used to derive the displacement amplitude transfer rate expression from thin plate foundation-single-stage vibration isolation system-precision equipment according to the mechanical four-terminal connection principle and the admittance method; a thin plate foundation-two-stage vibration isolation system-mechanical precision equipment displacement amplitude transfer rate expression establishment module 240: used to derive the displacement amplitude transfer rate expression from thin plate foundation-two-stage vibration isolation system-precision design according to the mechanical four-terminal connection principle and the admittance method. The displacement amplitude transmission rate expression prepared; the peak displacement expression calculation module 250 at the four-point support is used to calculate the four peak displacements under the four-point support conditions from the thin plate foundation-single-stage vibration isolation system-mechanical precision equipment and from the thin plate foundation-two-stage vibration isolation system-mechanical precision equipment respectively based on steps two and three and steps two and four, and define the maximum value as the objective function one; the variance definition module 260 of the four-point vibration displacement is used to consider the uniformity and coordination of the four-point vibration of the precision equipment to ensure the stable operation of the precision equipment, and define the variance of the four-point vibration displacement as the objective function two; the multi-objective particle swarm optimization algorithm introduction module 270 is used to introduce the multi-objective particle swarm optimization algorithm and define the algorithm parameters; the design parameter optimization module 280 obtains the optimized design parameters of the industrial building structure-precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate based on the multi-objective particle swarm optimization algorithm introduction module.

[0100] Figure 6 A schematic diagram of the structure of an electronic device provided by an embodiment of the present invention is shown in FIG. Figure 6 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 6 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 6 The example of connecting through bus is taken in the following.

[0101] 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-precision 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 thin plate foundation-single-stage vibration isolation system-mechanical precision equipment displacement amplitude transmission rate expression establishment module 230; the thin plate foundation-two-stage vibration isolation system-mechanical precision equipment displacement amplitude transmission rate expression establishment module 240; the four-point support transfer peak displacement expression calculation module 250; the four-point vibration displacement placement variance definition module 260; the multi-objective particle swarm optimization algorithm introduction 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, the above-mentioned structure-precision equipment coupling system vibration control analysis method for industrial building is realized.

[0102] This embodiment can achieve beneficial technical effects, including:

[0103] 1. Accurate vibration prediction and control

[0104] Accurately construct a composite vibration control system, comprehensively consider the interaction between mechanical precision 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.

[0105] 2. Optimize vibration isolation design

[0106] 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.

[0107] 3. Improve equipment operation stability and life

[0108] 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.

[0109] 4. Ensure structural safety and environmental friendliness

[0110] 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.

[0111] 5. Provide engineering practice guidance

[0112] 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.

[0113] The above description of the embodiments is 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 by those skilled in the art based on the disclosure of the present invention 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 structure-precision equipment coupling system for industrial building, characterized in that: include: Step 1: Consider the mechanical precision 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 precision 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, subject to harmonic vibration excitation, and establish the thin plate vibration expression (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, establish the displacement amplitude transfer rate expression (2) from thin plate foundation-single-stage vibration isolation system-mechanical precision equipment; Among them, X is the displacement of a certain point on the thin plate caused by the vibration load, Xend is the displacement of the precision equipment, T d is the transmission rate, ξ=c / (2mω0), E=Z m / m, Zm is the force impedance of the equipment, k is the stiffness of the vibration isolator, c is the damping of the vibration isolator, and m is the mass of the precision equipment; Step 4: Based on the mechanical four-terminal connection principle and the admittance method, establish the displacement amplitude transfer rate expression (3) from thin plate foundation-two-stage vibration isolation system-mechanical precision equipment; Where: C1 = A3B3Z m -A4B4; C2=A3B4+A4B3; C3=A1B3Z m -A2B4Z m +A3B1-A4B2; C4=A1B4Z m +A2B3Z m +A4B1+A3B2; A1=n2+1-uθ 2 ; A2=n1×2ξ1θ+2ξ1θ; <h2 style=";text-align:left;direction:ltr">A3 = n2k1 - n1×2ξ1c1θω<h2 style=";text-align:left;direction:ltr"> ref <h2 style=";text-align:left;direction:ltr"> ; A4=n2k1×2ξ1θ+k1n1×2ξ1θ; B1=-θ 2 +n2-n2θ 2 -uθ 2 +uθ 4 -n1(2ξ1) 2 i 2 ; B2=-2ξ1θ 3 +n2×2ξ1θ+n1×2ξ1θ-n1×2ξ1θ 3 -u×2ξ1θ 3 ; B3=nx-n1(2ξ1) 2 i 2 ; B4=n2×2ξ1θ+n1×2ξ1θ; Among them, u=m2 / m1, n1=k2 / k1, n2=c2 / c1, m1 is the mass of the precision equipment, m2 is the mass of the secondary system, k1 is the stiffness of the primary system, k2 is the stiffness of the secondary system, c1 is the damping of the primary system, c2 is the damping of the secondary system, ω ref is the circular frequency of the vibration load, Step 5, based on steps 2 and 3 and steps 2 and 4, respectively calculate the four peak displacements of transmission under the four-point support conditions of thin plate foundation*single-stage vibration isolation system-mechanical precision equipment and thin plate foundation-two-stage vibration isolation system-mechanical precision equipment, and define the maximum value as objective function 1; Step 6: Consider the uniformity and coordination of the vibration of the four points where the precision equipment is installed to ensure the stable operation of the precision equipment, and define the variance of the vibration displacement of the four points where the precision equipment is installed as the second objective function; Step 7: introduce the multi-objective particle swarm optimization algorithm and define the algorithm parameters; and Step eight, obtain the optimized design parameters of the industrial building structure-precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate.

2. According to claim 1, a vibration control analysis method for a structure-precision equipment coupling system for industrial building construction 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 precision equipment and accurately place a single-stage or two-stage vibration isolation system.

3. The vibration control analysis method for the structure-precision equipment coupling system for industrial building construction according to claim 1 is characterized by: The step 2 also includes calculating the vibration displacement response of the thin plate caused by the force excitation acting on the thin plate.

4. The vibration control analysis method for the structure-precision equipment coupling system for industrial building construction according to claim 1 is characterized by: The step five also includes consideration of the position traversal search performed when the precision device is placed at four points on the thin plate.

5. The vibration control analysis method for the structure-precision equipment coupling system for industrial building construction according to claim 1 is characterized by: The step eight includes traversing and searching the four-point placement positions on the thin plate to achieve the optimal placement position, that is, to achieve the optimal process layout for the precision equipment to go upstairs.

6. A vibration control and analysis device for industrial building structure-precision equipment coupling system, characterized in that: include: The composite vibration control system setting and placement module is used to treat the mechanical precision equipment, single-stage or two-stage vibration isolation system and floor slab or thin plate foundation of the industrial building as a composite vibration control system, and to place the mechanical precision equipment at four positions on the floor slab or thin plate foundation according to its actual size and vibration isolation system design; The module for establishing the vibration expression of the floor or thin plate foundation is used to regard the thin plate as a fixed support and establish the vibration expression of the thin plate under the excitation of harmonic vibration (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; A module for establishing the displacement amplitude transfer rate expression of thin plate foundation-single-stage vibration isolation system-mechanical precision equipment is used to establish the displacement amplitude transfer rate expression of thin plate foundation-single-stage vibration isolation system-precision equipment based on the mechanical four-terminal connection principle and the admittance method (2); Among them, X is the displacement of a certain point on the thin plate caused by the vibration load, Xend is the displacement of the precision equipment, T d is the transmission rate, ξ=c / (2mω0), E=Z m / m, Zm is the force impedance of the equipment, k is the stiffness of the vibration isolator, c is the damping of the vibration isolator, and m is the mass of the precision equipment; The module for establishing the displacement amplitude transfer rate expression of thin plate foundation-two-stage vibration isolation system-mechanical precision equipment is used to establish the displacement amplitude transfer rate expression of thin plate foundation-two-stage vibration isolation system-precision equipment based on the mechanical four-terminal connection principle and the admittance method ((3); Where: C1 = A3B3Z m -A4B4; C2=A3B4+A4B3; C3=A1B3Z m -A2B4Z m +A3B1-A4B2; C4=A1B4Z m +A2B3Z m +A4B1+A3B2; A1=n2+1-uθ 2 ; A2=n1×2ξ1θ+2ξ1θ; <h2 style=";text-align:left;direction:ltr">A3 = n2k1 - n1×2ξ1c1θω<h2 style=";text-align:left;direction:ltr"> ref <h2 style=";text-align:left;direction:ltr"> ; A4=n2k1×2ξ1θ+k1n1×2ξ1θ; B1=-θ 2 +n2-n2θ 2 -uθ 2 +uθ 4 -n1(2ξ1) 2 i 2 ; B2=-2ξ1θ 3 +n2×2ξ1θ+n1×2ξ1θ-n1×2ξ1θ 3 -u×2ξ1θ 3 ; B3=n2-n1(2ξ1) 2 i 2 ; B4=n2×2ξ1θ+n1×2ξ1θ; Among them, u=m2 / m1, n1=k2 / k1, n2=c2 / c1, m1 is the mass of the precision equipment, m2 is the mass of the secondary system, k1 is the stiffness of the primary system, k2 is the stiffness of the secondary system, c1 is the damping of the primary system, c2 is the damping of the secondary system, ω ref is the circular frequency of the vibration load, A calculation module for expressing the peak displacement transfer at four-point support is used to calculate the four peak displacement transfers under the four-point support conditions of thin plate foundation-single-stage vibration isolation system-mechanical precision equipment and thin plate foundation-two-stage vibration isolation system-mechanical precision equipment respectively based on steps two and three and steps two and four, and define the maximum value as objective function one; The variance definition module of the four-point vibration displacement is used to consider the uniformity and coordination of the four-point vibration of the precision equipment to ensure the stable operation of the precision equipment, and define the variance of the four-point vibration displacement as the second objective function; Multi-objective particle swarm optimization algorithm introduction module, introduces the multi-objective particle swarm optimization algorithm and defines the algorithm parameters; and The design parameter optimization module introduces a module based on the multi-objective particle swarm optimization algorithm to obtain the optimized design parameters of the industrial building structure-precision equipment coupling system and the optimal placement position of the precision equipment on the thin plate.

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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