A fast estimation method of story shear force for embedded modular building considering the coupling of main substructure

Abstract

The application discloses a kind of embedded modular building layer shear force quick estimation method considering main substructure coupling effect, first, the non-coupling steel frame analysis model is established, and the reference layer shear force of each floor is obtained;Then determine the layer mass ratio representing the mass relationship and the frequency ratio representing the dynamic characteristic;Then, according to the relative floor height, the structure is divided into three sections of lower, middle and upper;For different sections, the pre-generated partition layer mass ratio-based influence coefficient and partition frequency influence coefficient are called respectively;Finally, the design layer shear force considering the coupling effect of main substructure is quickly calculated through the correction formula.The application does not need to establish a complex coupled dynamic model, and can reflect the redistribution law of layer shear force along the height through parameterization correction, with high calculation efficiency, clear physical meaning, and is suitable for scheme design and preliminary design stage of embedded modular building.

Description

Technical Field

[0001] This invention belongs to the field of structural seismic design technology, specifically relating to a rapid method for estimating floor shear force in embedded modular buildings under seismic loading, considering the coupling effect between the main structure and the embedded modules. It is particularly suitable for the schematic design and preliminary design stages. Background Technology

[0002] Embedded modular buildings typically consist of two parts: a main steel frame and embedded modules. The main structure bears the primary vertical and lateral force loads, while the embedded modules participate in load sharing through connections with the main floors. Under seismic loading, the embedded modules do not simply add loads; due to their own mass, connection stiffness, and relative dynamic characteristics with the main structure, they alter the overall structural dynamic response and floor stress distribution. For structural systems with embedded modules continuously arranged along the floors, this coupling effect further influences the redistribution of story shear along the height direction.

[0003] In existing engineering designs, embedded modular buildings often follow the seismic design path of conventional steel frames. The embedded modules are usually treated as auxiliary mass or equivalent floor loads applied to the main floors, and then the overall structural analysis is carried out accordingly.

[0004] This method has the following drawbacks: (1) The coupling effect of the main substructure is ignored, and the influence of the module's own stiffness and connection constraints is not considered; (2) It is difficult to reflect the shear redistribution law of the story and cannot quickly reflect the structural response correction caused by changes in module layout, story mass ratio and connection stiffness; (3) The calculation of complete dynamic analysis is large, and a complete dynamic model needs to be established and time history analysis needs to be carried out. It is not suitable for the scheme design stage. (4) Lack of a quick estimation process that can be directly applied to engineering. Summary of the Invention

[0005] To address the problems mentioned in the background art, this invention provides a rapid estimation method for embedded modular building floor shear force considering the coupling effect of the main and substructures. Based on the results of conventional steel frame uncoupled analysis, this method constructs an integrated correction framework of "key parameter extraction - floor zoning - influence coefficient calling - floor shear force correction output". Without establishing a complete coupled dynamic model, it can quickly calculate the design floor shear force considering the coupling effect of embedded modules, thus solving the problems of neglecting coupling effects, complex calculations, and difficulty in rapid application to engineering design in the prior art.

[0006] To achieve the above objectives, the present invention provides the following technical solution: a rapid estimation method for the shear force of an embedded modular building floor considering the coupling effect of the main and substructures, comprising the following steps: Step S1: Establish an analysis model of the uncoupled steel frame An uncoupled analysis model of the main steel frame of an embedded modular building is established. This uncoupled analysis model treats the embedded modules as equivalent to auxiliary mass or floor loads and does not explicitly consider dynamic coupling. Seismic analysis is performed on this uncoupled analysis model to obtain the shear force at the reference floor for each floor. ; Step S2: Determine key parameters Based on the embedded module configuration and the stress characteristics of the main structure, the floor mass ratio of each floor is determined. m and frequency ratio β The layer mass ratio m The frequency ratio is the ratio of the mass of the embedded module to the mass of the corresponding main floor. β For layer stiffness ratio Compared with the layer mass ratio m The square root of the ratio, wherein the layer stiffness ratio This is the ratio of the stiffness of the embedded module layer to the stiffness of the corresponding main floor. Step S3: Perform floor zoning Based on the total number of structural layers N and floor numbers i Calculate the relative floor height parameters of each floor. , and with 1 / 3 and Using 2 / 3 as the dividing point, the structure is divided into a lower section, a middle section, and an upper section along the height direction; Step S4: Call the partition influence coefficient For any given floor, based on the zoning area to which that floor belongs. z The quality ratio of the corresponding zoning layer to the basic influence coefficient is called by the pre-established zoning layer. And partition frequency influence coefficient The zone z is a lower zone, a middle zone, or an upper zone; Step S5: Layer shear correction Calculate the design story shear force considering the coupling effect of the main and substructures using the modified formula. The corrected formula is:

[0007] In the formula: m This represents the basic coefficient based on the layer quality ratio. Indicates the layer quality ratio. V Indicates layer shear force; Step S6: Seismic Design and Verification Based on the revised design layer shear force Seismic design and verification of the main steel frame.

[0008] Furthermore, the division of the structure into a lower region, a middle region, and an upper region along the height direction specifically includes: by 1 / 3 and 2 / 3 is used as the dividing point; When 0 < If ≤1 / 3, the floor is determined to belong to the lower zone; When 1 / 3 < If ≤2 / 3, the floor is determined to belong to the central zone; When 2 / 3 < If the value is ≤1, the floor is determined to belong to the upper zone.

[0009] Furthermore, the partition layer quality ratio is based on the influence coefficient. And partition frequency influence coefficient It is a discrete numerical comparison table pre-established by performing data envelopment and regression processing on the data envelopment values ​​of the main steel frame and the embedded module in the rigid reference state of the finite element dynamic analysis. The aforementioned call is specifically based on the current floor's zoning. z And actually determined m and β The value is obtained by interpolation to obtain the corresponding coefficient value.

[0010] Furthermore, the partition layer quality ratio is based on the influence coefficient. The discrete numerical comparison table includes layer quality ratio m When the values ​​are 0.05, 0.075, 0.1, 0.15, 0.2, and 0.25, they correspond to the correction coefficient values ​​for the lower, middle, and upper regions, respectively. The partition frequency influence coefficient The discrete numerical comparison table includes frequency ratios β The values ​​of 0.756, 0.845, 0.926, 1.000, 1.069, and 1.195 correspond to the correction coefficient values ​​for the lower, middle, and upper regions, respectively.

[0011] Furthermore, the layer mass ratio m Defined as the ratio of the mass of the embedded module to the mass of the corresponding main floor; the frequency ratio β Defined as layer stiffness ratio The square root of the ratio of the layer stiffness to the layer mass ratio is the layer stiffness ratio. This is the ratio of the stiffness of the embedded module layer to the stiffness of the corresponding main floor.

[0012] Furthermore, the embedded modules are continuously arranged along the floors of the main steel frame, and the connection between the embedded modules and the main structure is rigid or semi-rigid.

[0013] This invention also provides an embedded modular building structure seismic design system, comprising: The data acquisition module is used to establish an uncoupled analysis model of the main steel frame and obtain the output shear force of each floor's reference story. and embedded module configuration parameters; The parameter calculation module is used to determine the floor mass ratio of each floor. m and frequency ratio β And calculate the relative floor height parameters. The structure is divided into a lower, middle or upper section based on a preset height threshold. The coefficient retrieval module is used to retrieve the pre-stored zoning layer quality ratio foundation influence coefficient based on the zoning area z to which the floor belongs. And partition frequency influence coefficient ; Layer shear correction module, used to correct the shear force using formulas Calculate the shear force of the design floor considering coupling effects. ; The structural design module is used to... Output the seismic design scheme for the main steel frame.

[0014] Furthermore, the parameter calculation module is specifically used for: When 0 < When ≤1 / 3, it is assigned to the lower region; when 1 / 3 < If ≤2 / 3, it is assigned to the central region; if 2 / 3 < If the value is ≤1, it is assigned to the upper region.

[0015] The present invention provides a computer-readable storage medium having a computer program stored thereon, characterized in that, when the program is executed by a processor, it implements the embedded modular building layer shear force rapid estimation method considering the coupling effect of the master and substructure as described in any of the preceding claims.

[0016] The present invention also provides a computer device, including a processor and a memory, wherein the memory stores a computer program, and the program, when executed by the processor, implements the embedded modular building layer shear force rapid estimation method considering the coupling effect of the master and substructure as described in any of the preceding claims.

[0017] Compared with the prior art, the beneficial effects of the present invention are: 1. High efficiency and speed: Based on the results of conventional steel frame uncoupled analysis, the corrected design layer shear force can be quickly obtained through simple parameter lookup and correction formulas without the need to establish a complex coupled dynamic model, which greatly reduces the workload of calculation and is especially suitable for the scheme design and preliminary design stages.

[0018] 2. Clear physical meaning: Using the layer mass ratio and frequency ratio as core correction parameters can directly and clearly reflect the impact of changes in key design variables such as embedded module mass and connection stiffness on the shear force distribution of structural layers.

[0019] 3. Considering shear redistribution: The floor zoning correction method can more reasonably express the different stress patterns and floor shear redistribution effects of the lower floors and the middle and upper floors under the coupling effect, and the correction results are closer to the actual dynamic response.

[0020] 4. High engineering practicality: It provides a complete rapid estimation process of "uncoupled benchmark analysis + parameter extraction + partition correction output", which can directly serve the seismic design and verification of embedded modular buildings, improving design efficiency. Attached Figure Description

[0021] The accompanying drawings are provided to further illustrate the invention and form part of the specification. They are used in conjunction with embodiments of the invention to explain the invention and do not constitute a limitation thereof. In the drawings: Figure 1 This is a schematic diagram of the overall structure of the embedded modular building described in this invention, showing the main steel frame, the embedded modules, and the connection between them.

[0022] Figure 2 This is a flowchart of the method for rapid estimation of shear force in embedded modular building layers that considers the coupling effect of the main and substructures, as described in this invention. Detailed Implementation

[0023] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0024] Example 1: As Figure 1 and Figure 2 As shown, this embodiment provides a rapid method for estimating the shear force of embedded modular building floors, considering the coupling effect between the main and substructures. The method specifically includes the following steps: Step S1: Establish an uncoupled steel frame analysis model and perform benchmark analysis.

[0025] First, based on the architectural design requirements, a non-coupled analysis model of the main steel frame is established. In this model, finite element elements of the embedded modules are not explicitly created; instead, the mass of the embedded modules on each floor is equivalent to auxiliary mass or uniformly distributed floor loads, applied to the corresponding floor beams and slabs of the main steel frame. This model does not explicitly consider the dynamic coupling between the modules and the main structure.

[0026] Subsequently, based on the current national building seismic design code, the uncoupled model was analyzed using the response spectrum method or the base shear method under seismic load. Through calculation, the structure's seismic load in the [followed by the previous sentence] was obtained. i Reference layer shear force Base layer shear force This represents the initial layer shear force value of the main structure design without considering the dynamic interaction between the main and substructures.

[0027] Step S2: Determine key parameters.

[0028] Based on the actual configuration of the embedded module, determine the floor mass ratio of each floor. m and frequency ratio β Among them: layer quality ratio m Defined as the first i The total mass of all embedded modules in the layer and the first i The ratio of the mass of the main steel frame structure to the mass of the module. This parameter reflects the magnitude of the module's mass relative to the main structure's mass.

[0029] Frequency ratio β Defined as the square root of the ratio of layer stiffness ratio to layer mass ratio, expressed as: . The layer stiffness ratio.

[0030] Step S3: Divide the floors into zones.

[0031] Based on the total number of structural layers N Calculate the first i Relative floor height parameters Its expression is: ,in, i The floor numbers are counted from the bottom. i =1,2,..., N .when =1 indicates the top level.

[0032] Subsequently, with =1 / 3 and =2 / 3 is used as the dividing point to divide the entire structure into three sections along the height direction: Lower zone (L zone): When 0 < If the value is ≤1 / 3, the floor is determined to belong to the lower zone.

[0033] Middle zone (M zone for short): When 1 / 3 < If the value is ≤2 / 3, the floor is determined to belong to the central area.

[0034] Upper zone (U zone for short): When 2 / 3 < If the value is ≤1, the floor is determined to belong to the upper zone.

[0035] This zoning method takes into account the significant non-uniformity of the shear redistribution pattern of different floors at different heights due to the differences in the deformation mode and dynamic response of the main structure after the involvement of embedded modules.

[0036] Step S4: Call the partition influence coefficient.

[0037] After completing the floor zoning, for any floor belonging to a zoning area... z ( z For floors designated as L, M, or U, the actual floor number will be determined accordingly. m and β The values ​​are respectively called to retrieve the pre-generated partition layer quality ratio to the base influence coefficient. And partition frequency influence coefficient .

[0038] These two coefficient systems were pre-established through detailed finite element dynamic time history analysis of a large number of typical embedded modular building models, followed by data envelopment and regression processing. Specifically: The quality ratio of the partition layer to the basic influence coefficient Table 1 shows the mass ratio of different layers under the reference state of rigid connection between the module and the main structure, and under the condition of reference frequency ratio. m The corresponding coefficients for each partition. In this embodiment, the coefficient table covers... m The discrete values ​​are taken at 0.05, 0.075, 0.1, 0.15, 0.2, and 0.25.

[0039] Table 1. Influence coefficient of zonal layer quality relative to foundation

[0040]

[0041] Partition frequency influence coefficient Table 2 shows the different frequency ratios under the reference layer quality ratio condition. β The corresponding partition coefficients. These coefficients characterize the impact of changes in the relative dynamic characteristics of the main substructure on the magnitude of the story shear force correction. In this embodiment, the coefficient table covers... β Take discrete values ​​at 0.756, 0.845, 0.926, 1.000, 1.069, and 1.195.

[0042] Table 2. Frequency Influence Coefficient of Zoning

[0043]

[0044] When the actual calculation m orβ When a value is not directly listed in the table, linear interpolation is used to determine its corresponding coefficient value.

[0045] Step S5: Layer shear force correction and output.

[0046] For the i Layers, based on their respective partitions z The reference layer shear force obtained in step S1 The information obtained in step S4 and Substitute the following modified formula to calculate the design story shear force considering the coupling effect of the main structure and substructure. :

[0047] Step S6: Seismic design and verification.

[0048] Finally, the calculated corrected design layer shear force As the embedded modular building in the i The seismic design load of the main steel frame structure of the floor is used to verify the strength, stability and deformation of components such as beams, columns, supports and connection nodes, and to complete the structural construction drawing design based on this.

[0049] Example Demonstration To make the technical solution of the present invention clearer, a typical working condition example is provided below.

[0050] Example 1 (Typical Working Condition): Structural Information: A 10-story embedded modular building with a total height of 30 meters. The main steel frame adopts a conventional design. Input Parameters: The 3rd and 5th floors are selected for demonstration. The calculated floor mass ratio of the 3rd floor is... =0.1, frequency ratio =0.926; Layer mass ratio of the 5th layer =0.2, frequency ratio =1.000. Shear force of each floor at the reference level calculated using a non-coupled analysis model. .

[0051] Implementation process: 1. Floor zoning: Total number of structural floors N =10. Relative height of the 3rd floor =3 / 10=0.3, belonging to the lower zone (L zone). The relative height of the 5th floor. =5 / 10=0.5, which belongs to the central region (M region).

[0052] 2. Obtain the coefficients by looking up the table: For the 3rd layer (L area, m =0.1, β =0.926): From Table 1, we get (0.1) = 1.044; From Table 2, we get... =1.463.

[0053] For the 5th layer (M area), m =0.2, β =1.000): From Table 1, we get (0.2) = 0.997; From Table 2, we get... (1.000) = 1.667.

[0054] The same calculation applies to other floors, where the decimals are not listed in the table. m or β The values ​​are obtained using linear interpolation.

[0055] 3. Layer shear force correction: Substitute into the formula to calculate the corrected layer shear force.

[0056] Example 2: This example provides an embedded modular building structure seismic design system, which is used to implement the method described in Example 1. The system includes: Data acquisition module: used to establish a non-coupled analysis model of the main steel frame as described in step S1 of Example 1, and to acquire the shear force of each floor reference story output by the model. And to obtain the embedded module configuration parameters (such as module quality, connection stiffness, etc.) input by the user.

[0057] Parameter calculation module: Used to calculate the floor mass ratio of each floor based on the parameters provided by the data acquisition module. m and frequency ratio β At the same time, this module is based on the total number of structural layers. N and current floor number i Calculate the relative floor height parameters And based on the preset height threshold ( =1 / 3 and =2 / 3) Automatically determines each floor as belonging to the lower, middle or upper zone.

[0058] Coefficient Retrieval Module: This module has a built-in storage unit that pre-stores the coefficients shown in Tables 1 and 2. and Discrete numerical reference table. This module receives the μ output from the parameter calculation module. m β β and partition information z z The corresponding influence coefficient can be quickly retrieved and returned by looking up a table or using linear interpolation.

[0059] Layer shear force correction module: used to receive data from the data acquisition module. And the coefficient call module returned and And according to the modified formula Automatically calculates the shear force of the design layer considering coupling effects. .

[0060] Structural design module: used to modify the output of the story shear force module. It automatically or assisted the engineer to complete the selection of the component sections of the main steel frame, the node verification, and finally output the structural design scheme that meets the seismic requirements.

[0061] Example 3: This example provides a computer-readable storage medium on which a computer program (or instructions) is stored. When the program (or instructions) is executed by a processor (such as a personal computer, server, or dedicated computing device), it enables the rapid estimation method for the shear force of embedded modular building floors, considering the coupling effect of the main and substructures, as described in Example 1. This storage medium includes, but is not limited to, non-transitory media such as ROM, RAM, hard disk, solid-state drive (SSD), USB flash drive, and optical disk. This allows engineers to quickly estimate the shear force of embedded modular building floors by running the program without installing professional finite element software, greatly improving efficiency in the design phase.

[0062] Finally, it should be noted that the above descriptions are merely preferred embodiments of the present invention and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art can still modify the technical solutions described in the foregoing embodiments or make equivalent substitutions for some of the technical features. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A rapid method for estimating the shear force of embedded modular building floors considering the coupling effect of the main and substructures, characterized in that, Includes the following steps: An uncoupled analysis model of the main steel frame of an embedded modular building is established. This uncoupled analysis model treats the embedded modules as equivalent to auxiliary mass or floor loads and does not explicitly consider dynamic coupling. Seismic analysis is performed on this uncoupled analysis model to obtain the shear force at the reference floor for each floor. ; Based on the embedded module configuration and the stress characteristics of the main structure, the floor mass ratio of each floor is determined. μ and frequency ratio β The layer mass ratio μ This is the ratio of the mass of the embedded module to the mass of the corresponding main floor. The frequency ratio β For layer stiffness ratio Compared with the layer mass ratio μ The square root of the ratio, wherein the layer stiffness ratio This is the ratio of the stiffness of the embedded module layer to the stiffness of the corresponding main floor. Based on the total number of structural layers N and floor numbers i Calculate the relative floor height parameters of each floor. , and with 1 / 3 and Using 2 / 3 as the dividing point, the structure is divided into a lower section, a middle section, and an upper section along the height direction; For any given floor, based on the zoning area to which that floor belongs. z The quality ratio of the corresponding zoning layer to the basic influence coefficient is called by the pre-established zoning layer. And partition frequency influence coefficient The zone z is a lower zone, a middle zone, or an upper zone; Calculate the design story shear force considering the coupling effect of the main and substructures using the modified formula. The corrected formula is: In the formula: m This represents the basic coefficient based on the layer quality ratio. Indicates the layer quality ratio, V Indicates the shear force of the story; based on the revised design shear force of the story. Seismic design and verification of the main steel frame.

2. The estimation method according to claim 1, characterized in that, The division of the structure along the height direction into a lower section, a middle section, and an upper section specifically includes: by 1 / 3 and 2 / 3 is used as the dividing point; When 0 < If ≤1 / 3, the floor is determined to belong to the lower zone; When 1 / 3 < If the floor is ≤2 / 3, it is determined to belong to the central zone; When 2 / 3 < If the value is ≤1, the floor is determined to belong to the upper zone.

3. The estimation method according to claim 1, characterized in that, The quality ratio of the partition layer to the basic influence coefficient And partition frequency influence coefficient It is a discrete numerical comparison table pre-established by performing data envelopment and regression processing on the data envelopment values ​​of the main steel frame and the embedded module in the rigid reference state of the finite element dynamic analysis. The aforementioned call is specifically based on the current floor's zoning. z And actually determined μ and β The value is obtained by interpolation to obtain the corresponding coefficient value.

4. The estimation method according to claim 3, characterized in that, The quality ratio of the partition layer to the basic influence coefficient The discrete numerical comparison table includes layer quality ratio μ When the values ​​are 0.05, 0.075, 0.1, 0.15, 0.2, and 0.25, they correspond to the correction coefficient values ​​for the lower, middle, and upper regions, respectively. The partition frequency influence coefficient The discrete numerical comparison table includes frequency ratios β The values ​​of 0.756, 0.845, 0.926, 1.000, 1.069, and 1.195 correspond to the correction coefficient values ​​for the lower, middle, and upper regions, respectively.

5. The estimation method according to claim 1, characterized in that, The embedded modules are continuously arranged along the floors of the main steel frame, and the connection between the embedded modules and the main structure is either rigid or semi-rigid.

6. An embedded modular building structure seismic design system, characterized in that, include: The data acquisition module is used to establish an uncoupled analysis model of the main steel frame and obtain the output shear force of each floor's reference story. and embedded module configuration parameters; The parameter calculation module is used to determine the floor mass ratio of each floor. μ and frequency ratio β And calculate the relative floor height parameters. The structure is divided into a lower, middle or upper section based on a preset height threshold. The coefficient retrieval module is used to retrieve the pre-stored zoning layer quality ratio foundation influence coefficient based on the zoning area z to which the floor belongs. And partition frequency influence coefficient ; Layer shear correction module, used to correct the shear force using formulas Calculate the shear force of the design floor considering coupling effects. ; The structural design module is used to... Output the seismic design scheme for the main steel frame.

7. The system according to claim 6, characterized in that, The parameter calculation module is specifically used for: When 0 < When ≤1 / 3, it is assigned to the lower region; when 1 / 3 < If ≤2 / 3, it is assigned to the central region; if 2 / 3 < If the value is ≤1, it is assigned to the upper region.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the program is executed by the processor, it implements the method for rapid estimation of shear force of embedded modular building layers considering the coupling effect of the master and substructure as described in any one of claims 1 to 5.

9. A computer device comprising a processor and a memory, the memory storing a computer program that, when executed by the processor, implements the method as claimed in any one of claims 1-5.

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