A method for calculating the vibration response of an overburden floor

Abstract

The embodiment of the application provides a kind of overburden soil floor vibration response calculation method, comprising: obtaining the structure model of floor, structure model includes floor body and soil layer, structure model is obtained based on the building parameter of floor, building parameter includes geometric parameter and mechanical parameter, geometric parameter includes the thickness of floor body and the thickness of soil layer, mechanical parameter includes the elastic modulus of floor body and soil layer, damping parameter and Poisson's ratio;According to dynamic load parameter, the structure model is analyzed, and the vibration response of floor is obtained, and vibration response includes acceleration response, and dynamic load parameter is determined by the target human-induced excitation function acting on floor.The above technical scheme can obtain accurate overburden soil floor vibration response.

Description

Technical Field

[0001] This application relates to the field of architectural design technology, and in particular to a method for calculating the vibration response of a floor slab overlying soil. Background Technology

[0002] With the diversification of building functions and the need to save land and alleviate land shortages, there is an increasing number of green roofs and outdoor sports fields on the soil surface. However, this also brings the problem that under various dynamic loads, the floor slabs are likely to experience insufficient vibration comfort.

[0003] In existing structural vibration response calculation models, the soil cover above the roof is only considered as an additional dead load. This leads to inaccurate calculations of the floor vibration response under artificial excitation, resulting in unsafe or conservative design outcomes. Therefore, improving the accuracy of vibration response calculations for roof slabs with overlying soil is an urgent problem to be solved. Summary of the Invention

[0004] This application provides a method for calculating the vibration response of a floor slab overlying soil, which can obtain a more accurate floor slab vibration response.

[0005] The first aspect of this application provides a method for calculating the vibration response of a floor slab overlying soil, the method comprising: Obtain a structural model of the overlying soil floor slab. The structural model includes the floor slab body and the soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab. The architectural parameters include geometric parameters and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer. The mechanical parameters include the elastic modulus, damping parameters, and Poisson's ratio of the floor slab body and the soil layer. The structural model is analyzed based on the dynamic load parameters to obtain the vibration response of the overlying soil floor slab. The vibration response includes the acceleration response. The dynamic load parameters are used to characterize the dynamic load generated by the moving object. The dynamic load parameters are determined by the target human-induced excitation function acting on the overlying soil floor slab.

[0006] In some embodiments, when the thickness of the soil layer is greater than or equal to a thickness threshold, the soil layer includes multiple sub-soil layers, and the mechanical parameters of each sub-soil layer are not completely the same.

[0007] In some embodiments, obtaining the structural model of the overlying soil floor slab includes: Based on the building parameters, a structural model of the overlying soil floor slab is constructed using layered shell units or composite material units.

[0008] In some embodiments, the method further includes: Both the floor slab body and the soil layer adopt plate and shell units that consider in-plane stiffness and out-of-plane stiffness. The in-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation in the plane direction, and the out-of-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation perpendicular to the plane direction.

[0009] In some embodiments, the step of analyzing the structural model based on load parameters to obtain the vibration response of the overlying soil floor slab includes: Identify the sensitive areas of the overlying soil floor slab, which are used to characterize areas that are unfavorable to human-induced stimuli; The dynamic load parameters are applied to the sensitive area of ​​the overlying soil floor slab, and the vibration response of the overlying soil floor slab is obtained by calculation using the elastic time history analysis method.

[0010] In some embodiments, determining the sensitive area on the overlying soil floor slab includes: Modal analysis was performed on the structural model to determine the vertical natural frequency of the overlying soil floor slab. The sensitive areas of the overlying soil floor slab are determined based on the target floor slab function, the vertical natural frequency, and the frequency threshold corresponding to the vertical natural frequency.

[0011] In some embodiments, determining the target person-induced excitation function includes: Based on the target floor slab usage function and corresponding relationship of the overlying soil floor slab, the target human-induced excitation function corresponding to the target floor slab usage function is determined. The corresponding relationship is used to indicate the relationship between multiple floor slab usage functions and multiple human-induced excitation functions. The multiple floor slab usage functions include the target floor slab usage function, and the multiple human-induced excitation functions include the target human-induced excitation function.

[0012] A second aspect of this application discloses a calculation device for the vibration response of an overlying soil floor slab, the device comprising: The acquisition module is used to acquire the structural model of the overlying soil floor slab. The structural model includes the floor slab body and the soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab. The architectural parameters include geometric parameters and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer. The mechanical parameters include the thickness of the floor slab body and the soil layer, the elastic modulus, the damping parameter, and the Poisson's ratio. The analysis module is used to analyze the structural model based on dynamic load parameters to obtain the vibration response of the overlying soil floor slab. The vibration response includes acceleration response. The dynamic load parameters are used to characterize the dynamic load generated by the moving object. The dynamic load parameters are determined by the target human-induced excitation function acting on the floor slab.

[0013] A third aspect of this application discloses an electronic device including a processor and a memory, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps of any of the methods described in the first aspect of this application.

[0014] A fourth aspect of this application discloses a computer-readable storage medium storing computer instructions that, when executed by a processor, implement the steps of any of the methods described in the first aspect of this application.

[0015] The technical solutions provided in this application have at least the following beneficial effects: This application proposes a method for calculating the vibration response of an overlying soil floor slab. The method includes obtaining a structural model of the overlying soil floor slab, which includes the floor slab body and a soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab, including geometric and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer, and the mechanical parameters include the elastic modulus, damping parameters, and Poisson's ratio of the floor slab body and the soil layer. The method further involves analyzing the structural model based on dynamic load parameters to obtain the vibration response of the floor slab, which includes an acceleration response. The dynamic load parameters characterize the dynamic loads generated by moving objects and are determined by a target human-induced excitation function acting on the floor slab. The aforementioned technical solution considers the geometric and mechanical parameters of both the floor slab and the soil layer in the structural model of the floor slab, forming an integrated structural model of the soil layer and the floor slab. In particular, the consideration of the geometric and mechanical parameters of the soil layer allows this integrated structural model to further take into account the interaction between the soil layer and the floor slab, thus constructing a structural model that can accurately reflect the actual vibration response of the floor slab. Based on this, by introducing dynamic load parameters determined by the target human-induced excitation function to characterize the dynamic load generated by the moving object, vibration response analysis is performed on the obtained structural model, thereby improving the accuracy and reliability of vibration response prediction of the floor slab under dynamic loads such as human-induced loads, and providing a scientific basis for floor slab comfort assessment and structural optimization design. Attached Figure Description

[0016] Figure 1(a) is a three-dimensional schematic diagram of a structural model of a soil-covered floor slab proposed in an embodiment of this application; Figure 1(b) is a plan view of a structural model of a soil-covered floor slab proposed in an embodiment of this application; Figure 2(a) is a schematic diagram of the layout of the structural model of the overlying soil floor slab proposed in the embodiment of this application; Figure 2(b) is a schematic diagram of the layout of another structural model of the overlying soil floor slab proposed in the embodiments of this application; Figure 3 This is a flowchart illustrating a method for calculating the vibration response of an overlying soil floor slab according to an embodiment of this application. Figure 4 This is a schematic diagram of a layered shell unit for an overlying soil floor structure according to an embodiment of this application; Figure 5 This is a flowchart illustrating another method for calculating the vibration response of an overlying soil floor slab according to an embodiment of this application. Figure 6 This is a flowchart illustrating the sensitive area of ​​the floor structure in a method for calculating the vibration response of a floor slab overlying soil, as proposed in an embodiment of this application. Figure 7 This is a schematic diagram of the structure of a calculation device for the vibration response of an overlying soil floor slab according to an embodiment of this application; Figure 8 This is a schematic diagram of the structure of an electronic device proposed in an embodiment of this application. Detailed Implementation

[0017] The technical solutions in the embodiments of this application will now be described with reference to the accompanying drawings.

[0018] To facilitate a clear description of the technical solutions in the embodiments of this application, the terms "first" and "second" are used in the embodiments of this application to distinguish identical or similar items with essentially the same function and effect. For example, "first instruction" and "second instruction" are used to distinguish different user instructions and do not limit their order. Those skilled in the art will understand that the terms "first" and "second" do not limit the quantity or execution order, and the terms "first" and "second" are not necessarily different.

[0019] It should be noted that in the embodiments of this application, the words "exemplarily" or "for example" are used to indicate examples, illustrations, or explanations. Any embodiment or design scheme described as "exemplarily" or "for example" in the embodiments of this application should not be construed as being more preferred or advantageous than other embodiments or design schemes. Specifically, the use of the words "exemplarily" or "for example" is intended to present the relevant concepts in a specific manner.

[0020] Furthermore, "at least one" refers to one or more, while "more than one" refers to two or more. "And / or" describes the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can mean: A alone, A and B simultaneously, or B alone, where A and B can be singular or plural. The character " / " generally indicates that the preceding and following related objects are in an "or" relationship. "At least one of the following" or similar expressions refer to any combination of these items, including any combination of single or plural items. For example, at least one of a, b, and c can mean: a, or b, or c, or a and b, or a and c, or b and c, or a, b, and c, where a, b, and c can be single or multiple.

[0021] It should be noted that, in the embodiments of this application, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such a process, method, article, or apparatus. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the process, method, article, or apparatus that includes that element.

[0022] With the diversification of building functions and the need to save land and alleviate land shortages, there is an increasing number of green roofs, accessible roofs, and outdoor sports fields on the soil surface. However, this also brings the problem that under various loads, the floor slabs are likely to experience insufficient vibration comfort. Inaccurate calculation of floor slab vibration response can lead to unsafe or conservative design results. Therefore, improving the accuracy of floor slab vibration response calculation is an urgent problem to be solved.

[0023] In view of this, this application proposes a method for calculating the vibration response of an overlying soil floor slab. The method includes obtaining a structural model of the overlying soil floor slab, which includes the floor slab body and a soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab, including geometric and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer, while the mechanical parameters include the elastic modulus, damping parameters, and Poisson's ratio of the floor slab body and the soil layer. The structural model is then analyzed based on dynamic load parameters to obtain the vibration response of the overlying soil floor slab, which includes acceleration response. The dynamic load parameters characterize the dynamic load generated by the moving object and are determined by the human-induced excitation function acting on the floor slab. The aforementioned technical solution considers the geometric and mechanical parameters of both the floor slab and the soil layer in the structural model of the floor slab, forming an integrated structural model of the soil layer and the floor slab. In particular, the consideration of the geometric and mechanical parameters of the soil layer allows this integrated structural model to further take into account the interaction between the soil layer and the floor slab, thus constructing a structural model that can accurately reflect the actual vibration response of the floor slab. Based on this, by introducing dynamic load parameters determined by the target human-induced excitation function to characterize the dynamic load generated by the moving object, vibration response analysis is performed on the obtained structural model, thereby improving the accuracy and reliability of vibration response prediction of the floor slab under dynamic loads such as human-induced loads, and providing a scientific basis for floor slab comfort assessment and structural optimization design.

[0024] The structural model of the embodiments of this application is briefly introduced below.

[0025] For example, as shown in Figure 1(a), which is a three-dimensional schematic diagram of the structural model proposed in the embodiment of this application, the structural model includes the floor slab body and the soil layer (not shown in the figure), which together constitute the overall structural model. Figure 1(b) is a planar schematic diagram of the structural model proposed in the embodiment of this application.

[0026] To more clearly illustrate the positional relationship between the floor slab and the soil layer in the structural model, please refer to the schematic structural model shown in Figure 2(a), which includes the floor slab 201 and the soil layer 202 covering the floor slab.

[0027] In other embodiments, the soil layer 202 can be divided into layers, as shown in FIG2(b), into multiple sub-soil layers, sub-soil layer 2021, sub-soil layer 2022, and sub-soil layer 2023.

[0028] Having understood the system architecture and related functions of the embodiments of this application, we will now describe in detail the execution steps of the calculation method for the vibration response of the overlying soil floor slab proposed in the embodiments of this application within this system, such as... Figure 3 As shown.

[0029] Step 301: Obtain the structural model of the overlying soil floor slab. The structural model includes the floor slab body and the soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab. The architectural parameters include geometric parameters and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer. The mechanical parameters include the elastic modulus, damping parameters and Poisson's ratio of the floor slab body and the soil layer.

[0030] There are various methods to obtain the structural model of the overlying soil floor slab. For example, it can be directly imported from other analysis software, or a finite element model of the floor slab structure to be analyzed can be directly constructed using general-purpose structural analysis and design finite element software. This application does not limit this approach.

[0031] The structural model includes a floor slab and a soil layer. For example, the floor slab includes the floor structure, at least two adjacent spans, and connected vertical members. The "at least two adjacent spans" refers to extending at least two column spacings to the left, right, front, and back in each direction from the original size of the floor structure during the floor slab modeling process, for subsequent analysis. Connected vertical members refer to columns or load-bearing walls that support the floor structure. In this model, vertical members can be cut off at the upper or lower floor heights and displacement boundary conditions can be set. Generally, vertical members can be considered as fixed constraints at the cut-off points. For example, fixed constraints (all displacements are zero) or elastic supports (simulating foundation stiffness) can be set at the column base to reflect the constraint conditions of the actual structural model. The soil layer is a structural layer covering the floor slab.

[0032] The structural model is derived from the architectural parameters of the overlying soil floor slab. These parameters include geometric and mechanical parameters. Geometric parameters include the thickness of the floor slab itself and the thickness of the soil layer. Mechanical parameters include the elastic modulus, damping parameters, and Poisson's ratio of the floor slab and the soil layer. Specifically, the elastic modulus, often referring to Young's modulus, is a physical quantity that measures a material's ability to resist elastic deformation under axial stress (such as tension or compression). It is defined as the ratio of stress to strain within the elastic deformation range of the material. The elastic modulus directly determines the stiffness of the structure. A higher elastic modulus results in smaller elastic deformation under the same load. The damping parameter quantifies the energy dissipation capacity of a structure or material during vibration. The mechanical energy of a vibrating system is gradually converted into internal energy (thermal energy) or other forms of energy through damping, leading to amplitude decay. Damping directly determines the rate of vibration decay. A higher damping ratio results in faster vibration decay and a lower response amplitude near the resonance region. Poisson's ratio is a physical quantity that measures the degree to which a material contracts (or expands) in another dimension perpendicular to one direction when it is stretched (or compressed) in one direction. It is defined as the negative ratio of transverse strain to axial strain, to ensure that the Poisson's ratio is usually positive for most materials. Poisson's ratio describes the three-dimensional deformation coupling effect of a material, influencing the overall deformation behavior of a structure under complex stress states.

[0033] In addition, mechanical parameters may include, for example, density, internal friction angle, cohesion, etc.

[0034] After obtaining the structural model, analyze the structural model and execute step 302.

[0035] Step 302: Analyze the structural model based on the dynamic load parameters to obtain the vibration response of the overlying soil floor slab. The vibration response includes the acceleration response. The dynamic load parameters are used to characterize the dynamic load generated by the moving object. The dynamic load parameters are determined by the target human-induced excitation function acting on the overlying soil floor slab.

[0036] For example, in this step, dynamic load parameters can be applied to the structural model for analysis to obtain the vibration response of the overlying soil floor slab. Alternatively, sensitive areas can be identified first, and dynamic load parameters, i.e., the target artificial excitation function, can be applied to these sensitive areas to obtain the vibration response of the overlying soil floor slab.

[0037] For example, in addition to this, static loads, such as suspended equipment, and some sustainable live loads can also be applied to the overlying soil floor slab.

[0038] Dynamic load parameters are used to characterize the time-varying dynamic loads generated by the active object moving on the overlying soil floor slab. These dynamic load parameters are determined based on the target human-induced excitation function acting on the overlying soil floor slab. The target human-induced excitation function quantifies the individual characteristics (weight, step frequency) and group activity characteristics (number of people, distribution pattern, motion synchronization) of the active object into time-history loads or spectral loads with specific amplitudes, frequencies, and phases acting on specific locations of the overlying soil floor slab through mathematical modeling. This provides accurate time-varying or frequency-varying input conditions for subsequent dynamic response analysis of the overlying soil floor slab.

[0039] For example, dynamic load can be regular movement, such as jumping rope, dancing, and aerobics, or it can be irregular movement, such as daily walking, basketball court, football field, etc. Dynamic load can be considered as the movement of active objects that are not continuously applied to the overlying soil slab.

[0040] For example, vibration response can include acceleration response and maximum displacement response. These two parameters quantify the performance of the overlying soil floor slab under dynamic loads from both dynamic and static perspectives. Acceleration response, typically referring to peak acceleration or acceleration time history, is a direct and core indicator for assessing human vibration comfort. It directly reflects the instantaneous impact intensity of the overlying soil floor slab vibration on human senses. Its magnitude directly determines whether users will feel discomfort, anxiety, or even dizziness, thus serving as the primary basis for judging whether the overlying soil floor slab meets comfort standards. Maximum displacement response characterizes the maximum displacement of the overlying soil floor slab relative to its equilibrium position during vibration. While not directly correlated with subjective human sensation, it is a key parameter for assessing structural safety and service performance. This is because it relates to whether the overall stiffness of the overlying soil floor slab is sufficient, whether non-structural components such as partitions, curtain walls, and pipes will crack or be damaged due to excessive deformation under long-term vibration, and whether the vibration amplitude visually causes panic among users.

[0041] In other embodiments, the vibration response may also include vibration modal response, etc.

[0042] The aforementioned technical solution considers the geometric and mechanical parameters of both the overlying soil floor slab and the soil layer in the structural model, forming a unified structural model of the soil layer and the floor slab. In particular, the consideration of the geometric and mechanical parameters of the soil layer allows this unified structural model to further account for the interaction between the soil layer and the floor slab, constructing a structural model that accurately reflects the actual vibration response of the floor slab. Based on this, by introducing dynamic load parameters determined by the target human-induced excitation function to characterize the dynamic load generated by the moving object, vibration response analysis is performed on the obtained structural model. This improves the accuracy and reliability of vibration response prediction for overlying soil floors under dynamic loads such as human-induced loads, providing a scientific basis for comfort assessment and structural optimization design of overlying soil floors.

[0043] The following describes how to obtain a structural model of the overlying soil floor slab.

[0044] In some embodiments, obtaining a structural model of the overlying soil floor slab includes: Based on building parameters, a structural model of the overlying soil floor slab is constructed using layered shell units or composite material units.

[0045] For example, a schematic diagram of a layered shell unit is shown below. Figure 4 As shown, it includes the floor slab body 201 and the soil layer 202.

[0046] The above-mentioned building parameters include geometric and mechanical parameters. The geometric and mechanical parameters corresponding to the floor slab body and the soil layer are input into the layered shell element or composite material element. The calculation software that performs layered simulation of the shell element is used to model the structure and construct the structural model of the overlying soil floor slab.

[0047] When performing mechanical analysis on composite layered structures using the finite element method (FEM), layered shell elements and composite material elements are two commonly used specialized analytical elements for simulating their complex mechanical behavior. Layered shell elements are shell elements based on classical laminate theory or first-order shear deformation theory. Their core idea is to divide the element into multiple layers along the thickness direction and independently define the material constitutive relations (elastic modulus, strength) and orientation for each layer. This allows for the accurate capture of the overall stiffness, bearing capacity, and interlayer stress of the composite material under bending, in-plane, and transverse shear coupled loads at the single-layer element scale. Composite material elements are a special type of element in finite element analysis specifically used to simulate the mechanical behavior of layered composite structures. Their core idea is to use an integrated element model to equivalently or explicitly characterize the macroscopic mechanical properties of a structure composed of multiple layers of different materials in the thickness direction. By using composite material elements or layered shell elements to construct the structural model of the floor slab and soil layers, the elastic modulus, Poisson's ratio, and thickness of each layer can be independently defined, thereby accurately characterizing the heterogeneity and anisotropy of the composite structure. This avoids the inherent limitations of traditional homogeneous element models in reflecting interlayer stress and deformation details, resulting in more accurate and reliable calculations of the vertical natural frequency of the overlying soil floor slab and its vibration response under artificial excitation.

[0048] The above-mentioned technical solution constructs the floor slab and soil layer into a unified structural model based on layered shell units or composite material units. Existing technologies typically simplify the soil as a homogeneous layer and apply only its weight as a dead load to an independent floor slab model. This method essentially ignores the interaction between the soil and the floor slab and the heterogeneous characteristics of the soil layer's mechanical parameters as it changes with depth. Compared to existing technologies, this solution introduces the soil layer and the floor slab to be modeled together, more realistically simulating the overlying soil floor slab in real-world scenarios. This transforms the soil layer from an additional dead load into a part of the structural model. Ultimately, at the response level, this structural model can output a vibration response that is closer to the actual working conditions, effectively avoiding resonance risks and misjudgments of vibration amplitude. This provides a solid basis for human-induced vibration comfort assessment and guides more economical and safe structural design.

[0049] It should be understood that the modeling method is not limited to the layered shell element or composite material element proposed in the embodiments of this application. Any calculation software that can simulate the layered structure of elements is acceptable and is not limited here.

[0050] During the construction of the structural model, if the soil layer thickness is too large, the mechanical parameters of the soil layer may vary throughout the entire soil layer, affecting the accuracy of the vibration response analysis. Therefore, it is necessary to divide the soil layer into layers. The detailed execution process is shown below.

[0051] In some embodiments, when the thickness of the soil layer is greater than or equal to a thickness threshold, the soil layer includes multiple sub-soil layers, and the mechanical parameters of each sub-soil layer are not completely the same.

[0052] When the soil layer thickness is greater than or equal to a thickness threshold, the modeling software can display a pop-up window asking whether to perform layering. After receiving different mechanical parameters for different layers, the software can then perform layering. Alternatively, when the soil layer thickness is greater than or equal to the thickness threshold, the software can directly perform layering and simulate the mechanical parameters of different soil layers based on historical data to create the model.

[0053] For example, when the thickness of a soil layer is greater than 500 mm, the soil layer can be divided into two layers, which can be evenly or unevenly divided. The mechanical parameters of each sub-soil layer can be partially different or completely identical.

[0054] For example, the soil layer can be divided into three layers based on its thickness and properties. If it is divided, the soil layer can be divided into three layers as shown in Figure 2(b).

[0055] The aforementioned technical solution aims to simulate the objective law of nonlinear changes in the mechanical properties of real soil layers with depth. For example, soil modulus, damping, and density typically change with increasing depth and consolidation pressure. By using different mechanical parameters for each sub-layer, the finite element model can more realistically reflect the wave propagation and stress distribution of soil under dynamic loads (such as artificial excitation), thus fundamentally avoiding the oversimplification caused by reducing thick soil layers to a single homogeneous layer. This significantly improves the accuracy of vibration response analysis of overlying soil slabs. Furthermore, this layered method avoids numerical instability problems that may arise in finite element calculations due to excessively thick single layers, ensuring the convergence and reliability of dynamic calculations such as elastic time history analysis. This, in turn, guarantees the accuracy and reliability of the overall vibration comfort assessment results from the modeling perspective.

[0056] In other embodiments, when the thickness is small, such as less than the thickness threshold, the soil layer can be considered to be basically homogeneously distributed along the thickness direction, and the mechanical parameters are basically consistent. Therefore, the soil layer can be a single layer.

[0057] In other embodiments, the decision to divide the soil layers into layers can also be based on other properties of the soil layers, such as the density of the soil layers.

[0058] In the process of constructing the structural model, out-of-plane stiffness should be considered to simulate the real overlying soil floor structure.

[0059] In some embodiments, the method further includes: Both the floor slab body and the soil layer adopt plate and shell units that consider in-plane stiffness and out-of-plane stiffness. The in-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation in the plane direction, and the out-of-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation perpendicular to the plane direction.

[0060] When using layered shell elements or composite material elements to perform finite element modeling of overlying soil floor systems, explicitly setting the out-of-plane stiffness is a crucial step in achieving high-precision dynamic simulation. In-plane and out-of-plane stiffness are integrated mechanical parameters that quantify the floor structure's ability to resist deformation perpendicular to its plane. This deformation primarily includes two basic modes: bending deformation, such as the overall deflection of the floor slab under vertical loads, and transverse shear deformation, such as the slip deformation of the floor slab section during vertical vibrations.

[0061] Both the floor slab and the soil layer utilize plate and shell elements that consider both in-plane and out-of-plane stiffness. This ensures that the finite element model calculates the fundamental and higher-order frequencies that correspond to the actual floor structure, a prerequisite for accurately predicting resonance risk. Only when the model's natural frequencies are accurate can it be correctly determined whether harmful resonance occurs with pedestrian excitation (such as harmonics of footsteps). The deformation mode (mode shape) of the overlying soil floor slab during vibration is directly determined by the stiffness distribution. Correct in-plane and out-of-plane stiffness ensures that the model simulates realistic mode shapes, thereby accurately locating the sensitive areas with the greatest vibration response. Improperly set out-of-plane stiffness can lead to distorted mode shapes, resulting in incorrect identification of sensitive areas.

[0062] In time history analysis, when a dynamic load (such as an artificially induced excitation function) is applied, the acceleration and displacement amplitude of the structural response are directly related to the out-of-plane stiffness.

[0063] The above technical solution, by setting out-of-plane stiffness, can ensure the reliability of calculations from modal analysis (frequency and mode shape) to time history analysis (acceleration and displacement response), making the final assessment of the vibration comfort of the overlying soil floor more accurate, thereby guiding the design of a structure that is both safe and comfortable as well as economical and reasonable.

[0064] After obtaining the structural model, a load is applied to the structural model to simulate the vibration of the overlying soil floor slab in a real-world scenario.

[0065] The following section details how to analyze the structural model based on load parameters to obtain the vibration response of the overlying soil floor slab.

[0066] In some embodiments, the structural model is analyzed based on dynamic load parameters to obtain the vibration response of the overlying soil floor slab, such as... Figure 5 As shown, it includes: Step 501: Determine the sensitive areas of the overlying soil floor slab. The sensitive areas are used to characterize areas that are unfavorable to human-induced stimuli.

[0067] A preliminary analysis of the floor structure was conducted to identify and determine sensitive areas on the floor, specifically those localized areas prone to adverse responses under dynamic loads, such as resonance or excessive acceleration.

[0068] Among them, the area unfavorable to human-induced excitation refers to the local area in the overlying soil floor slab where the dynamic characteristics of the slab itself, such as natural frequency, mode shape, and stiffness distribution, are highly coupled with the frequency and spatial distribution of common human-induced excitations, such as walking, running, and rhythmic movement. This makes it most prone to excessive vibration, leading to comfort issues or even resonance.

[0069] In this application embodiment, a targeted analysis is performed on this region.

[0070] Step 502: Apply dynamic load parameters to the sensitive area of ​​the overlying soil floor slab and calculate the vibration response of the overlying soil floor slab using the elastic time history analysis method.

[0071] The dynamic load parameters, i.e. the time-varying dynamic loads defined by the target person-induced excitation function, are directly applied to the sensitive area, and the elastic time history analysis method is used for accurate calculation.

[0072] Elastic time-history analysis is a numerical simulation technique for accurately evaluating the dynamic response of a structure under dynamic loads. Its core principle is to directly solve the dynamic equilibrium differential equations of the structural model and gradually integrate to obtain the complete response process of the structure throughout the entire load time history. Vibration response includes acceleration and maximum displacement response. Acceleration response indicates vibration comfort, while maximum displacement response indicates structural safety and service durability.

[0073] Floor structures, especially in large and complex buildings, cover a vast area, but not all areas will produce problematic vibrations under human-induced stimuli.

[0074] The aforementioned technical solution identifies "sensitive areas" in advance, pinpointing "high-risk areas" that are most prone to adverse vibrations due to their light weight, relatively weak stiffness, or natural frequencies close to pedestrian frequencies. This allows subsequent vibration response calculations to be focused on these critical components, thereby significantly improving analysis efficiency while maintaining accuracy.

[0075] In other embodiments, the dynamic load parameters and static load parameters in the load parameters can be input together into the structural model for analysis to obtain the vibration response.

[0076] The following examples illustrate how to identify sensitive areas on the overlying soil floor slab.

[0077] In some embodiments, such as Figure 6 As shown, sensitive areas on the overlying soil floor slab are identified, including: Step 601: Perform modal analysis on the structural model to determine the vertical natural frequency of the overlying soil floor slab.

[0078] Modal analysis is performed on the structural model. Modal analysis is a linear dynamic analysis technique used to solve for the free vibration characteristics of a structure under initial conditions without external continuous excitation. It solves for the eigenvalues ​​and eigenvectors of the structural model. The main output of modal analysis is the structure's mode shapes and their corresponding natural frequencies. In this embodiment, the focus is on vertical vibrations most relevant to human comfort; therefore, the vertical natural frequencies, typically the fundamental frequency (the lowest first-order vertical natural frequency), need to be extracted. This frequency is an inherent property of the structure, determining which frequencies of external excitation the structure is most sensitive to.

[0079] Step 602: Determine the sensitive area of ​​the overlying soil floor slab based on the target floor slab's function, vertical natural frequency, and the frequency threshold corresponding to the vertical natural frequency.

[0080] The vertical natural frequency is calculated by modal analysis in step 601.

[0081] For example, the frequency threshold can be a preset frequency range used to determine the risk of resonance. The frequency threshold may also not be a fixed value, but determined based on the main harmonic frequency components of human-induced excitations, such as walking or running. For instance, the fundamental frequency of human-induced excitations is typically between 1.5 Hz and 2.5 Hz, and its second and third harmonic components (3.0 Hz - 7.5 Hz) are the main factors causing vibrations in the overlying soil floor slab. Therefore, the frequency threshold can typically be set to a range [3.0 Hz, 7.5 Hz].

[0082] Different floor slabs serve different vibration comfort standards. For example, offices, residences, shopping malls, dance studios, or gyms have completely different sensitivities to vibration and permissible limits. The permissible acceleration of a gym floor slab is much higher than that of an office floor slab.

[0083] Based on the target floor function of the overlying soil floor, its vertical natural frequency, and the corresponding frequency threshold, the sensitive areas on the overlying soil floor are determined.

[0084] For example, the calculated vertical natural frequency of the floor slab is compared with a preset frequency threshold range. If it is within or close to the threshold range, the overlying soil floor slab is considered to have a significant risk of resonating with human-induced excitation.

[0085] After determining the existence of overall risk, the highest-risk local areas are further located in the structural model. Sensitive areas are the local regions with the largest displacement or acceleration response in the critical vertical vibration mode of that order. For example, the middle of the overlying soil floor slab, the area with the largest span, or the area with the weakest boundary constraints are often where the vibration mode amplitude is the largest, which are the sensitive areas.

[0086] For vibration-sensitive floor slab uses, such as offices, a more conservative frequency threshold or a smaller vibration displacement threshold may be needed to identify sensitive areas; while for vibration-insensitive uses, such as warehouses, the frequency threshold may be larger than that for vibration-sensitive uses.

[0087] The above technical solution determines the sensitive areas on the overlying soil floor by identifying the target floor's function, vertical natural frequency, and the corresponding frequency threshold. This provides a targeted prediction area for subsequent artificial excitation, thereby improving the efficiency of analysis and prediction.

[0088] In some embodiments, determining the target person-induced excitation function includes: Based on the target floor slab usage function and corresponding relationship of the overlying soil floor slab, the target human-induced excitation function corresponding to the target floor slab usage function is determined. The corresponding relationship is used to indicate the relationship between multiple floor slab usage functions and multiple human-induced excitation functions. Multiple floor slab usage functions include the target floor slab usage function, and multiple human-induced excitation functions include the target human-induced excitation function.

[0089] In this embodiment, the correspondence is a preset, standardized database or mapping table used to indicate the relationship between multiple floor slab usage functions and multiple human-induced excitation functions. The multiple floor slab usage functions include the target floor slab usage function, and the multiple human-induced excitation functions include the target human-induced excitation function.

[0090] Based on vibration comfort requirements, the floor slab can be divided into several categories such as offices, residences, shopping malls, dance halls, and gyms. The correspondence also provides specific load function mathematical models and parameter values ​​for the floor slab's corresponding functions.

[0091] Based on the target floor slab's usage function and its corresponding relationship with the overlying soil floor slab, a target human-induced excitation function is determined, corresponding to the target floor slab's usage function, such as an office or a gym for aerobic exercise. Using the target floor slab's usage function as input, a perfectly matching, standardized load function is retrieved from the corresponding relationship and output as the target human-induced excitation function. This ensures a high degree of consistency between the analyzed dynamic loads and the actual usage scenario.

[0092] The following is a specific example.

[0093] Assuming the overlying soil floor slab is an open-plan office floor slab, and the target floor slab's function is office use, a query in the pre-defined mapping relationship shows that the office function can correspond to a single-person walking incentive model.

[0094] For example, the technical standard "Technical Standard for Vibration Comfort of Building Floors" JGJT441 can be referenced for walking excitation: (1) In the formula, For pedestrian weight, For the first The dynamic factor corresponding to the first-order load frequency. For the first-order load frequency, For the first The phase angle corresponding to the first load frequency. Relevant parameters can be determined according to specifications or based on field experiments.

[0095] For rhythmic movement motivation: (2) In the formula, For the first Rhythmic motion loads corresponding to the frequency of the first-order load. To provide load for people moving rhythmically. For the first-order load frequency, For the first The dynamic factor corresponding to the first-order load frequency. Relevant parameters can be determined according to specifications or based on field experiments.

[0096] By using the corresponding human-induced excitation function for analysis, the vibration generated by people walking normally in the office can be simulated more accurately, avoiding the use of overly conservative loads, such as running excitation, so that the vibration comfort assessment results are both safe and economical.

[0097] In some embodiments, after obtaining the vibration response of the overlying soil floor slab under the action of a target person-induced excitation function through elastic time history analysis, the method proposed in this application further includes an evaluation step: The calculated vibration response at key locations of the overlying soil floor slab is directly compared with the acceleration or displacement limits specified in industry standards based on the target function of the floor slab. If the calculated value is less than or equal to the standard limit, the vibration comfort of the overlying soil floor slab is deemed to meet the standard requirements, and the design is feasible. Conversely, if the calculated value exceeds the standard limit, it is deemed not to meet the comfort requirements and must be returned to the design stage. The overlying soil floor slab is then optimized by increasing the stiffness, adding damping, or adjusting the structural layout, and the entire process analysis is repeated until the vibration response meets the standard requirements.

[0098] To more accurately distinguish between the method proposed in this application and the existing method (which directly applies the soil layer as a dead load to the floor slab model), the acceleration response (m / s²) obtained from three monitoring points was selected for both methods. 2 The experiments were compared and analyzed, as shown in Table 1.

[0099] Table 1

[0100] The field tests listed in Table 1 above were conducted under the same parameter control conditions as existing methods and embodiments of this application. As can be seen from Table 1, the layered shell unit of this application's embodiments is closer to actual field tests and more consistent with reality compared to existing methods.

[0101] It should be understood that although the steps in the flowchart above are shown sequentially as indicated by the arrows, these steps are not necessarily executed in the order indicated by the arrows. Unless explicitly stated herein, there is no strict order restriction on the execution of these steps, and they can be executed in other orders. Moreover, at least some steps in the flowchart above may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be performed alternately or in turn with other steps or at least some of the sub-steps or stages of other steps.

[0102] In some embodiments, such as Figure 7 As shown, a calculation device for the vibration response of an overlying soil floor slab is provided. The device includes: an acquisition module 701 and an analysis module 702, wherein: The acquisition module 701 is used to acquire the structural model of the overlying soil floor slab. The structural model includes the floor slab body and the soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab. The architectural parameters include geometric parameters and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer. The mechanical parameters include the elastic modulus, damping parameters and Poisson's ratio of the floor slab body and the soil layer.

[0103] Analysis module 702 is used to analyze the structural model based on dynamic load parameters to obtain the vibration response of the overlying soil floor slab. The vibration response includes acceleration response. The dynamic load parameters are used to characterize the dynamic load generated by the moving object. The dynamic load parameters are determined by the target human-induced excitation function acting on the overlying soil floor slab.

[0104] Further limitations on the calculation device for the vibration response of the overlying soil floor slab can be found in the limitations on the calculation method for the vibration response of the overlying soil floor slab mentioned above, and will not be repeated here. Each module in the aforementioned calculation device for the vibration response of the overlying soil floor slab can be implemented entirely or partially through software, hardware, or a combination thereof. These modules can be embedded in the processor of the terminal device in hardware form or independent of it, or stored in the memory of the terminal device in software form, so that the processor can call and execute the operations corresponding to each module.

[0105] Another embodiment provides a computer-readable storage medium for storing a computer program. This computer program contains instructions for implementing the methods described in the embodiments of this application. By installing this computer program on a computer, the computer can execute the corresponding methods.

[0106] Another embodiment proposes a computer program product that includes computer program code. When this computer program code is run on a computer, it causes the computer to implement the methods proposed in the embodiments of this application. Thus, a user can implement these methods by using this computer program product.

[0107] In some embodiments, Figure 8 This is a schematic block diagram of the electronic device provided in the embodiments of this application.

[0108] Electronic device 800 may include: a memory 801 storing executable program code and a processor 802 coupled to the memory 801.

[0109] In this embodiment, processor 802 calls executable program code stored in memory to execute any of the methods disclosed in the embodiments of this application. Those skilled in the art will understand that... Figure 8 The electronic device structure shown does not constitute a limitation on the electronic device. The electronic device may include more or fewer components than shown, or combine certain components, or have different component arrangements.

[0110] The processor 802 is the control center of the electronic device. It connects various parts of the electronic device via various interfaces and lines, and performs various functions and processes data by running or executing software programs and / or modules stored in the memory, and by calling data stored in the memory, thereby providing overall monitoring of the electronic device. Optionally, the processor may include one or more processing units; preferably, the processor may integrate an application processor and a modem processor, wherein the application processor mainly handles the operating system, user interface, and applications, and the modem processor mainly handles wireless communication. It is understood that the modem processor may also not be integrated into the processor.

[0111] The memory 801 can be used to store software programs and modules. The processor executes various functional applications and data processing of the electronic device by running the software programs and modules stored in the memory. The memory may mainly include a program storage area and a data storage area. The program storage area may store the operating system, at least one application program required for a function, etc.; the data storage area may store data created according to the use of the electronic device, etc. In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as at least one disk storage device, flash memory device, or other volatile solid-state storage device.

[0112] It should be understood that, in the embodiments of this application, the processor may be a Central Processing Unit (CPU), or it may be other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. The general-purpose processor may be a microprocessor or any conventional processor, etc.

[0113] In implementation, each step of the above method can be completed by integrated logic circuits in the processor's hardware or by instructions in software. The steps of the method disclosed in the embodiments of this application can be directly manifested as execution by a hardware processor, or as a combination of hardware and software modules within the processor. The software modules can reside in random access memory, flash memory, read-only memory, programmable read-only memory, electrically erasable programmable memory, registers, or other mature storage media in the art. This storage medium is located in memory, and the processor executes the instructions in the memory, combining them with its hardware to complete the steps of the above method. To avoid repetition, detailed descriptions are omitted here.

[0114] Those skilled in the art will recognize that the units and algorithm steps of the various examples described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, or a combination of computer software and electronic hardware. Whether these functions are implemented in hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art can use different methods to implement the described functions for each specific application, but such implementation should not be considered beyond the scope of the embodiments of this application.

[0115] Those skilled in the art will understand that, for the sake of convenience and brevity, the specific working processes of the systems, devices, and units described above can be referred to the corresponding processes in the foregoing method embodiments, and will not be repeated here.

[0116] In the embodiments provided in this application, it should be understood that the disclosed systems, apparatuses, and methods can be implemented in other ways. For example, the apparatus embodiments described above are merely illustrative. For instance, the division of units is only a logical functional division, and in actual implementation, there may be other division methods. For example, multiple units or components may be combined or integrated into another system, or some features may be ignored or not executed. Furthermore, the displayed or discussed mutual couplings, direct couplings, or communication connections may be through some interfaces; indirect couplings or communication connections between devices or units may be electrical, mechanical, or other forms.

[0117] The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the units can be selected to achieve the purpose of this embodiment according to actual needs.

[0118] In addition, the functional units in the various embodiments of this application can be integrated into one processing unit, or each unit can exist physically separately, or two or more units can be integrated into one unit.

[0119] If the aforementioned function is implemented as a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of this application embodiment, essentially, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of this application. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0120] The above description is merely a specific implementation of the embodiments of this application, but the protection scope of the embodiments of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the embodiments of this application should be included within the protection scope of the embodiments of this application. Therefore, the protection scope of the embodiments of this application should be determined by the protection scope of the claims.

Claims

1. A method for calculating the vibration response of a floor slab overlying soil, characterized in that, The method includes: Obtain a structural model of the overlying soil floor slab. The structural model includes the floor slab body and the soil layer. The structural model is obtained based on the architectural parameters of the overlying soil floor slab. The architectural parameters include geometric parameters and mechanical parameters. The geometric parameters include the thickness of the floor slab body and the thickness of the soil layer. The mechanical parameters include the elastic modulus, damping parameters, and Poisson's ratio of the floor slab body and the soil layer. The structural model is analyzed based on the dynamic load parameters to obtain the vibration response of the overlying soil floor slab. The vibration response includes the acceleration response. The dynamic load parameters are used to characterize the dynamic load generated by the moving object. The dynamic load parameters are determined by the target human-induced excitation function acting on the floor slab.

2. The method according to claim 1, characterized in that, When the thickness of the soil layer is greater than or equal to a thickness threshold, the soil layer includes multiple sub-soil layers, and the mechanical parameters of each sub-soil layer are not completely the same.

3. The method according to claim 1, characterized in that, The process of obtaining the structural model of the overlying soil floor slab includes: Based on the building parameters, a structural model of the overlying soil floor slab is constructed using layered shell units or composite material units.

4. The method according to claim 3, characterized in that, The method further includes: Both the floor slab body and the soil layer adopt plate and shell units that consider in-plane stiffness and out-of-plane stiffness. The in-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation in the plane direction, and the out-of-plane stiffness is used to characterize the ability of the overlying soil floor slab to resist bending and shear deformation perpendicular to the plane direction.

5. The method according to claim 1, characterized in that, The analysis of the structural model based on dynamic load parameters to obtain the vibration response of the overlying soil floor slab includes: Identify the sensitive areas of the overlying soil floor slab, which are used to characterize areas that are unfavorable to human-induced stimuli; The dynamic load parameters are applied to the sensitive area of ​​the overlying soil floor slab, and the vibration response of the overlying soil floor slab is obtained by calculation using the elastic time history analysis method.

6. The method according to claim 5, characterized in that, The determination of the sensitive area of ​​the overlying soil floor slab includes: Modal analysis was performed on the structural model to determine the vertical natural frequency of the overlying soil floor slab. The sensitive areas of the overlying soil floor slab are determined based on the target floor slab function, the vertical natural frequency, and the frequency threshold corresponding to the vertical natural frequency.

7. The method according to claim 1 or 5, characterized in that, The determination of the target person-induced excitation function includes: Based on the target floor slab usage function and corresponding relationship of the overlying soil floor slab, the target human-induced excitation function corresponding to the target floor slab usage function is determined. The corresponding relationship is used to indicate the relationship between multiple floor slab usage functions and multiple human-induced excitation functions. The multiple floor slab usage functions include the target floor slab usage function, and the multiple human-induced excitation functions include the target human-induced excitation function.

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