A method for calculating and controlling the stiffness-weight ratio of a building structure

Abstract

The application provides a building structure stiffness-weight ratio calculation control method, comprising the following steps: applying a first horizontal distribution force to an actual model to obtain a first equivalent lateral stiffness; constructing a reference model consistent with the layer height and the number of floors of the actual model, applying a second horizontal distribution force identical to the first horizontal distribution force to the reference model, and obtaining a second equivalent lateral stiffness; obtaining a non-uniformity coefficient based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each layer of the actual model; obtaining a stiffness-weight ratio limit value based on the non-uniformity coefficient, and comparing the actual stiffness-weight ratio with the stiffness-weight ratio limit value to determine whether the actual model meets the stability requirement. In this way, the non-uniformity coefficient is coupled into the stiffness-weight ratio limit value expression, so that when the stiffness-weight ratio limit value is calculated by using the method, the stiffness-weight ratio limit value requirement meeting the overall stability requirement when the structure stiffness and mass are non-uniform along the vertical direction can be accurately given, and the calculation control result is reliable, and the design is more economical and reasonable.

Description

Technical Field

[0001] This invention relates to the field of building structure design, and in particular to a method for calculating and controlling the stiffness-to-weight ratio of building structures. Background Technology

[0002] Overall stability is a fundamental requirement for the structural design of super high-rise buildings. As building height increases, the second-order effect (P-Δ effect) induced by gravity loads under horizontal loads increases non-linearly. Studies show that the P-Δ effect can increase structural displacement and component stress by 25%–30%. Both the US Building Load Code and European codes specify limits for stability coefficients to ensure structural stability. Chinese codes use the ratio of lateral stiffness to gravity load, i.e., the stiffness-to-weight ratio, as a control index for overall stability. Specifically, for high-rise structures subject to bending and shear deformation, when the stiffness-to-weight ratio is greater than 2.7, the adverse effects of the second-order effect can be disregarded; when it is between 1.4 and 2.7, the adverse effects of the second-order effect should be considered, and it should not be less than 1.4.

[0003] This regulation represents a conceptual, macro-level, indirect control. Specific numerical values ​​are derived through simplified mechanical models under certain preconditions, such as compliance with the requirements of a uniform cantilever model. However, actual high-rise structures often fail to meet the conditions for a uniform cantilever. Typically, mass and stiffness are non-uniformly distributed along the height, generally exhibiting a distribution characteristic of being larger at the bottom and smaller at the top. For non-uniform members, the stiffness-to-weight ratio limit in the code is inapplicable, requiring recalculation to determine a suitable stiffness-to-weight ratio limit or modification of the stiffness-to-weight ratio. Currently, there are clear methods for handling high-rise building structures with only non-uniform mass; however, there is no reasonable method for handling high-rise building structures with non-uniform stiffness. Furthermore, research shows that when the degree of stiffness non-uniformity is large, the existing treatment of mass non-uniformity can lead to serious errors, typically resulting in two outcomes: either a safety risk in the design, or an overly conservative design. In actual engineering design, it is frequently found that the calculated stiffness-to-weight ratio is difficult to meet the requirements, while the actual calculated second-order effect is not significant, and the overall buckling analysis results are relatively ideal. Therefore, it can be concluded that the current control limit for stiffness-to-weight ratio is not scientific, and a new calculation and control method needs to be established based on the actual non-uniform characteristics of the structure. Summary of the Invention

[0004] The purpose of this invention is to provide a method for calculating and controlling the stiffness-to-weight ratio of building structures, so as to solve the problem that the existing stiffness-to-weight ratio control limits cannot reflect the non-uniform characteristics of building structures and affect the rationality of the design.

[0005] To achieve the above objectives, the present invention provides a method for calculating and controlling the stiffness-to-weight ratio of building structures, comprising:

[0006] A first horizontal distributed force is applied to the actual model, and the first equivalent lateral stiffness is calculated.

[0007] Construct a benchmark model with the same floor height and number of floors as the actual model, apply a second horizontal distributed force to the benchmark model that is the same as the first horizontal distributed force, and calculate the second equivalent lateral stiffness.

[0008] Based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each layer of the actual model, the non-uniformity coefficient is calculated.

[0009] Based on the non-uniformity coefficient, the stiffness-to-weight ratio limit is calculated, and the actual stiffness-to-weight ratio is compared with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements.

[0010] Optionally, the calculation of the first equivalent lateral stiffness includes:

[0011] The lateral deformation of the actual model is obtained by static calculation. The resultant force of the first horizontally distributed force is divided by the top lateral deformation of the actual model to obtain the first equivalent lateral stiffness.

[0012] The calculation of the second equivalent lateral stiffness includes:

[0013] The lateral deformation of the reference model is obtained by static calculation. The resultant force of the second horizontal distributed force is divided by the top lateral deformation of the reference model to obtain the second equivalent lateral stiffness.

[0014] Optionally, the top lateral deformation of the actual model obtained by static calculation is the deformation at the center of the structural roof stiffness, ignoring the deformation of small towers or structures protruding from the roof.

[0015] Optionally, the non-uniformity coefficient includes a stiffness non-uniformity coefficient and a mass non-uniformity coefficient;

[0016] The non-uniformity coefficient is calculated based on the first equivalent lateral stiffness and the second equivalent lateral stiffness, including:

[0017] The ratio of the first equivalent lateral stiffness to the second equivalent lateral stiffness is used as the stiffness non-uniformity coefficient.

[0018] The mass non-uniformity coefficient is obtained by calculating the mass of each layer based on the actual model.

[0019] Optionally, the calculation of the stiffness-to-weight ratio limit includes:

[0020] A calculation expression is constructed using the stiffness non-uniformity coefficient and the mass non-uniformity coefficient as independent variables and the stiffness-to-weight ratio limit as the dependent variable.

[0021] Based on the calculation expression, the stiffness non-uniformity coefficient and the mass non-uniformity coefficient of the actual model, the stiffness-to-weight ratio limit is calculated.

[0022] Optionally, the calculation expression is a parametric expression formed by coupling the stiffness non-uniformity coefficient and the mass non-uniformity coefficient, which can be degenerated into a single parametric expression;

[0023] For a single mass non-uniformity coefficient, the influence law is linear proportional; for a single stiffness non-uniformity coefficient, the influence law is exponential.

[0024] Optionally, comparing the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements includes:

[0025] If the actual stiffness-to-weight ratio is greater than or equal to the stiffness-to-weight ratio limit, then the actual model meets the stability and safety requirements.

[0026] If the actual stiffness-to-weight ratio is less than or equal to the stiffness-to-weight ratio limit, and greater than or equal to a preset multiple of the stiffness-to-weight ratio limit, then the second-order effect needs to be considered.

[0027] If the actual stiffness-to-weight ratio is less than a preset multiple of the stiffness-to-weight ratio limit, then the actual model does not meet the stability and safety requirements.

[0028] Optionally, the first horizontal distributed force is applied to the stiffness center of each floor of the actual model; the second horizontal distributed force is applied to the stiffness center of each floor of the reference model; the magnitude and direction of the first horizontal distributed force and the second horizontal distributed force are the same.

[0029] Optionally, the first horizontally distributed force is a lateral force distributed along the height direction and applied in a direction toward or away from the actual model; the second horizontally distributed force is a lateral force distributed along the height direction and applied in a direction toward or away from the reference model.

[0030] Optionally, all floors of the reference model are standard floors, which are the floors with the largest cross-sectional area among the bottom or near-bottom components of the actual model.

[0031] In summary, the method for calculating and controlling the stiffness-to-weight ratio of a building structure provided by this invention includes: applying a first horizontal distributed force to an actual model and calculating a first equivalent lateral stiffness; constructing a benchmark model with the same story height and number of floors as the actual model, applying a second horizontal distributed force to the benchmark model that is the same as the first horizontal distributed force, and calculating a second equivalent lateral stiffness; calculating a non-uniformity coefficient based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each floor of the actual model; calculating a stiffness-to-weight ratio limit based on the non-uniformity coefficient, and comparing the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements.

[0032] This configuration, by coupling the non-uniformity coefficient to form the stiffness-to-weight ratio limit expression, allows for the simultaneous consideration of stiffness non-uniformity and mass non-uniformity when calculating the stiffness-to-weight ratio limit using this method. It accurately provides the stiffness-to-weight ratio limit requirement that meets the overall stability requirements when the stiffness and mass of the super high-rise structure are non-uniform along the vertical direction, and the calculation control results are reliable, making the design more economical and reasonable. Attached Figure Description

[0033] Figure 1 A flowchart of a method for calculating and controlling the stiffness-to-weight ratio of building structures provided in an embodiment of the present invention;

[0034] Figure 2 A comparison curve of the stiffness-to-weight ratio limit as a function of the stiffness non-uniformity coefficient (mass non-uniformity coefficient is 1.0) provided in the embodiments of the present invention;

[0035] Figure 3 A comparison curve of the stiffness-to-weight ratio limit as a function of the stiffness non-uniformity coefficient (mass non-uniformity coefficient is 0.333) provided in the embodiments of the present invention;

[0036] Figure 4 A comparison curve showing the change of stiffness-to-weight ratio limit with stiffness non-uniformity coefficient (mass non-uniformity coefficient is 0.172) provided for embodiments of the present invention. Detailed Implementation

[0037] To make the objectives, advantages, and features of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. It should be noted that the drawings are all in a very simplified form and are not drawn to scale, and are only used to facilitate and clarify the explanation of the embodiments of this invention. Furthermore, the structures shown in the drawings are often part of the actual structures. In particular, different figures may emphasize different aspects and may sometimes use different scales.

[0038] As used herein, the singular forms “a,” “an,” and “the” include plural objects; the term “or” is generally used to mean “and / or”; the term “a number” is generally used to mean “at least one”; and the term “at least two” is generally used to mean “two or more”. Furthermore, the terms “first,” “second,” and “third” are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of indicated technical features. Thus, a feature defined as “first,” “second,” or “third” may explicitly or implicitly include one or at least two of that feature. “One end” and “the other end,” as well as “proximal end” and “distal end,” generally refer to two corresponding parts, including not only endpoints. The terms “installed,” “connected,” and “joined” should be interpreted broadly; for example, they can refer to a fixed connection, a detachable connection, or an integral part; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication of two elements or the interaction between two elements. Furthermore, as used in this specification, the phrase "one element is disposed on another element" generally only indicates that there is a connection, coupling, cooperation, or transmission relationship between the two elements, and the connection, coupling, cooperation, or transmission between the two elements can be direct or indirect through an intermediate element. It should not be construed as indicating or implying a spatial positional relationship between the two elements, i.e., one element can be located arbitrarily inside, outside, above, below, or to the side of another element, unless otherwise explicitly stated. The terms "above," "below," "top," and "bottom" generally refer to relative positional relationships arranged according to the direction of gravity; the terms "vertical" or "vertical direction" generally refer to the direction of gravity, which is generally perpendicular to the ground; "horizontal" or "horizontal plane direction" generally refers to a direction parallel to the ground. Those skilled in the art can understand the specific meaning of the above terms in this specification according to the specific circumstances.

[0039] The purpose of this invention is to provide a method for calculating and controlling the stiffness-to-weight ratio of building structures, so as to solve the problem that the existing stiffness-to-weight ratio control limits cannot meet the non-uniform characteristics of building structures and affect the rationality of the design.

[0040] As those skilled in the art will understand, the stiffness-to-weight ratio refers to the ratio of the lateral stiffness of a structure to the design value of the gravity load. It is a major parameter affecting the second-order gravity effect, and the second-order gravity effect increases hyperbolically as the stiffness-to-weight ratio decreases. In high-rise buildings under wind loads or horizontal seismic action, an excessively large second-order gravity effect can lead to structural instability and collapse. Therefore, controlling the stiffness-to-weight ratio is crucial to preventing structural instability. Current stiffness-to-weight ratio calculation and control methods only consider mass non-uniformity. However, in actual super high-rise structures, mass and stiffness are typically non-uniform along the height direction. Therefore, existing stiffness-to-weight ratio calculation and control methods may introduce safety risks or become overly conservative when stiffness non-uniformity is significant. The stiffness-to-weight ratio calculation and control method provided in this application couples mass non-uniformity and stiffness non-uniformity together to form a stiffness-to-weight ratio limit, which is then compared with the actual stiffness-to-weight ratio, making the calculation results reliable and the design more economical and reasonable.

[0041] Please refer to Figure 1 This invention provides a method for calculating and controlling the stiffness-to-weight ratio of building structures, comprising:

[0042] Step S1: Apply the first horizontal distributed force to the actual model and calculate the first equivalent lateral stiffness;

[0043] Step S2: Construct a benchmark model with the same floor height and number of floors as the actual model, apply a second horizontal distributed force to the benchmark model that is the same as the first horizontal distributed force, and calculate the second equivalent lateral stiffness.

[0044] Step S3: Calculate the non-uniformity coefficient based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each layer of the actual model;

[0045] Step S4: Based on the non-uniformity coefficient, calculate the stiffness-to-weight ratio limit, and compare the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements.

[0046] It should be noted that steps S1 and S2 are not restrictive in terms of the execution order of the steps; that is, they are not limited to being executed in the order of S1 and S2, and can also be executed out of order. Those skilled in the art will understand that distributed force is a force that acts continuously along a surface, a line, or the entire three-dimensional shape of an object. In this embodiment, the first horizontal distributed force and the second horizontal distributed force are distributed forces distributed in the horizontal direction. They can be surface distributed forces, line distributed forces, or volume distributed forces distributed along the entire three-dimensional shape of the object; they can also be uniformly distributed forces or non-uniformly distributed forces. Those skilled in the art can configure the first horizontal distributed force and the second horizontal distributed force according to different actual situations.

[0047] As an optional embodiment, the first equivalent lateral stiffness is calculated, including:

[0048] Step S1-1: Obtain the lateral deformation of the actual model through static calculation, divide the resultant force of the first horizontal distributed force by the top lateral deformation of the actual model to obtain the first equivalent lateral stiffness.

[0049] It should be noted that, in this embodiment, the first equivalent lateral stiffness can be calculated using the following formula:

[0050]

[0051] In the formula, F1 is the resultant force of the first horizontal distributed force, u1 is the lateral deformation of the stiffness center of the large roof layer in the actual model, and K1 is the first equivalent lateral stiffness.

[0052] The second equivalent lateral stiffness is calculated, including:

[0053] Step S2-1: Obtain the lateral deformation of the reference model through static calculation, divide the resultant force of the second horizontal distributed force by the top lateral deformation of the reference model to obtain the second equivalent lateral stiffness.

[0054] It should be noted that, in this embodiment, the second equivalent lateral stiffness can be calculated using the following formula:

[0055]

[0056] In the formula, F2 is the resultant force of the second horizontal distributed force, u2 is the lateral deformation of the stiffness center of the large roof layer of the reference model, and K2 is the second equivalent lateral stiffness.

[0057] As those skilled in the art will understand, when performing static calculations, appropriate calculation formulas can be selected by consulting relevant mechanical characteristic tables and considering different loads and cross-sectional shapes. Furthermore, in this embodiment, the lateral deformation of the top of the actual model obtained through static calculations is the deformation at the center of the structural roof stiffness, ignoring the deformation of small towers or structures protruding from the roof. In other embodiments, those skilled in the art can also reasonably configure the location of the lateral deformation at the top according to the actual situation.

[0058] In a preferred embodiment, the non-uniformity coefficient includes a stiffness non-uniformity coefficient and a mass non-uniformity coefficient;

[0059] Based on the first equivalent lateral stiffness and the second equivalent lateral stiffness, the non-uniformity coefficient is calculated, including:

[0060] Step S3-1: Use the ratio of the first equivalent lateral stiffness to the second equivalent lateral stiffness as the stiffness non-uniformity coefficient;

[0061] It should be noted that, in this embodiment, the stiffness non-uniformity coefficient can be calculated using the following formula:

[0062]

[0063] In the formula, λ k This is the stiffness non-uniformity coefficient.

[0064] Step S3-2: Calculate the mass non-uniformity coefficient based on the mass of each layer of the actual model.

[0065] It should be noted that, in this embodiment, the stiffness non-uniformity coefficient can be calculated using the following formula:

[0066]

[0067] In the formula, λ m G is the mass non-uniformity coefficient. i Let H be the floor weight of the i-th floor. i Let H be the elevation of the i-th floor, and H be the total height of the structure.

[0068] With this configuration, when using the stiffness-to-weight ratio calculation and control method provided in this application, both stiffness non-uniformity and mass non-uniformity can be considered simultaneously. This avoids the problem that existing calculation and control methods only consider mass non-uniformity. When stiffness non-uniformity is large, errors in the stiffness-to-weight ratio can cause safety issues or overly conservative designs. This makes the calculation and control results more stable and controllable, and also makes the design more economical and reasonable.

[0069] Furthermore, the stiffness-to-weight ratio limit was calculated, including:

[0070] Step S4-1: Construct a calculation expression with stiffness non-uniformity coefficient and mass non-uniformity coefficient as independent variables and stiffness-to-weight ratio limit as dependent variable;

[0071] Step S4-2: Calculate the stiffness-to-weight ratio limit based on the calculated expression, the stiffness non-uniformity coefficient and the mass non-uniformity coefficient of the actual model.

[0072] It should be noted that in this embodiment, step S4-1, which uses the stiffness non-uniformity coefficient and the mass non-uniformity coefficient to construct the calculation expression for the stiffness-to-weight ratio limit, is performed by data fitting. The data used for fitting are the stiffness non-uniformity coefficient, the mass non-uniformity coefficient, and the stiffness-to-weight ratio limit calculated through different model examples. The final fitted expression for the stiffness-to-weight ratio limit is as follows:

[0073]

[0074] In the formula, [γ] is the stiffness-to-weight ratio limit that meets the stability design requirements.

[0075] Based on the above calculation expression for the stiffness-to-weight ratio limit, it can be seen that the above calculation expression is a parametric expression formed by the coupling of the stiffness non-uniformity coefficient and the mass non-uniformity coefficient, which can degenerate into a single parametric expression. Furthermore, for the single mass non-uniformity coefficient, it exhibits a linear proportional influence; for the single stiffness non-uniformity coefficient, it exhibits an exponential influence. It should be noted that for the single mass non-uniformity coefficient expression, it exhibits a linear proportional influence; for the single stiffness non-uniformity coefficient expression, it exhibits an exponential influence. That is, in the above calculation expression, when the stiffness non-uniformity coefficient is considered a constant, the mass non-uniformity coefficient exhibits a linear proportional influence; when the mass non-uniformity coefficient is considered a constant, the stiffness non-uniformity coefficient exhibits an exponential influence. When the mass non-uniformity coefficient and the stiffness non-uniformity coefficient are coupled to form the stiffness-to-weight ratio limit expression, the mass non-uniformity coefficient is simultaneously reflected in the product coefficient and exponent of the stiffness non-uniformity coefficient, thus comprehensively reflecting the more complex parametric influence laws in actual engineering.

[0076] As an optional implementation, comparing the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements includes:

[0077] If the actual stiffness-to-weight ratio is greater than the stiffness-to-weight ratio limit, then the actual model meets the stability and safety requirements.

[0078] If the actual stiffness-to-weight ratio is less than or equal to the stiffness-to-weight ratio limit, but greater than or equal to a preset multiple of the stiffness-to-weight ratio limit, then the second-order effect needs to be considered.

[0079] If the actual stiffness-to-weight ratio is less than a preset multiple of the stiffness-to-weight ratio limit, the actual model does not meet the stability and safety requirements.

[0080] It should be noted that, in this embodiment, the specific determination method is as follows:

[0081] 1) When γ>[γ], the stability design meets the requirements and there is no need to consider the second-order gravitational effect;

[0082] 2) When 0.52[γ]≤γ≤[γ], second-order effects need to be considered;

[0083] 3) When γ < 0.52[γ], the stability design does not meet the requirements, and the structural scheme needs to be adjusted.

[0084] As those skilled in the art will understand, buildings with relatively flexible lateral stiffness will experience significant horizontal displacement under wind loads or horizontal seismic action. Under vertical loads, the lateral displacement further increases, and additional internal forces are generated in the structural components. This effect, which induces geometric nonlinearity, is called the second-order gravity effect. Those skilled in the art can incorporate this second-order gravity effect into the calculation and control of the stiffness-to-weight ratio based on the actual structural conditions, to make the simulation results more closely reflect reality.

[0085] In an alternative embodiment, a first horizontal distributed force is applied to the stiffness center of each floor of the actual model; a second horizontal distributed force is applied to the stiffness center of each floor of the reference model; the magnitude and direction of the first and second horizontal distributed forces are the same. In some other embodiments, the first horizontal distributed force may also be applied to other locations on each floor of the actual model, and the second horizontal distributed force may also be applied to other locations on each floor of the reference model. It should be noted that the application locations of the first and second horizontal distributed forces should be consistent, and the magnitude and direction of the first and second horizontal distributed forces should also be the same.

[0086] Furthermore, the first horizontal distributed force is a lateral force distributed along the height direction and applied in a direction approaching or moving away from the actual model; the second horizontal distributed force is a lateral force distributed along the height direction and applied in a direction approaching or moving away from the reference model. It should be noted that in this embodiment, both the first and second horizontal distributed forces are lateral forces applied along the height direction that conform to a certain distribution function. Optionally, both the first and second horizontal distributed forces are lateral forces that gradually increase along the height direction, that is, as the height of the actual model or reference model increases, the first and second horizontal distributed forces gradually increase. Of course, in other embodiments, the first and second horizontal distributed forces can also be triangularly distributed forces, and this application does not limit this.

[0087] Furthermore, all floors in the reference model are standard floors, which are the floors with the largest cross-sectional area among the bottom or near-bottom components of the actual model. It should be noted that in this embodiment, the reference model is a uniform stiffness model, meaning its stiffness distribution is uniform; and the total height, floor height, and total number of floors are the same for both the reference model and the actual model. The difference between the reference model and the actual model is that the cross-sections of each floor in the actual model may differ, while the cross-sections of each floor in the reference model are all standard floors. In other embodiments, the standard floors may also be the same as other floors in the actual model. Those skilled in the art can flexibly configure the selection of standard floors according to the actual model.

[0088] The stability of the results of the stiffness-to-weight ratio calculation and control method provided by the present invention will be explained below with reference to a specific embodiment.

[0089] Please refer to Figures 2 to 4 This invention utilizes the structural stiffness-to-weight ratio calculation and control method provided by the present invention to calculate the stiffness-to-weight ratio limit of a 50-story cantilever column structural model, and compares the results with those obtained using standard methods and finite element simulation methods. The influence of stiffness non-uniformity coefficient on the stiffness-to-weight ratio limit is examined under three different mass non-uniformity coefficients. Figures 2-4 It can be seen that, for different situations, the calculation results using the method of this invention are very close to the results of finite element simulation, but differ significantly from the results of standard methods. This indicates that, on the one hand, the stiffness-to-weight ratio calculation and control method provided by this invention can more accurately reflect the influence of multiple non-uniformities in actual engineering on the stiffness-to-weight ratio limit; on the other hand, it shows that the calculation expression for the stiffness-to-weight ratio limit given in this invention has strong adaptability, and the same formula can give multiple different curve forms.

[0090] In summary, the method for calculating and controlling the stiffness-to-weight ratio of a building structure provided in this embodiment of the invention includes: applying a first horizontal distributed force to an actual model and calculating a first equivalent lateral stiffness; constructing a benchmark model with the same story height and number of stories as the actual model, applying a second horizontal distributed force identical to the first horizontal distributed force to the benchmark model, and calculating a second equivalent lateral stiffness; calculating a non-uniformity coefficient based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each story of the actual model; calculating a stiffness-to-weight ratio limit based on the non-uniformity coefficient, and comparing the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements.

[0091] This configuration, by coupling the non-uniformity coefficient to form the stiffness-to-weight ratio limit expression, allows for the simultaneous consideration of stiffness non-uniformity and mass non-uniformity when calculating the stiffness-to-weight ratio limit using this method. It accurately provides the stiffness-to-weight ratio limit requirement that meets the overall stability requirements when the stiffness and mass of the super high-rise structure are non-uniform along the vertical direction, and the calculation control results are reliable, making the design more economical and reasonable.

[0092] The above description is merely a description of preferred embodiments of the present invention and is not intended to limit the scope of the present invention in any way. Any changes or modifications made by those skilled in the art based on the above disclosure shall fall within the protection scope of the claims.

Claims

1. A method for calculating and controlling the stiffness-to-weight ratio of building structures, characterized in that, include: A first horizontal distributed force is applied to the actual model, and the first equivalent lateral stiffness is calculated. The lateral deformation of the actual model is obtained through static calculation, and the resultant force of the first horizontal distributed force is divided by the top lateral deformation of the actual model to obtain the first equivalent lateral stiffness. A reference model with the same floor height and number of floors as the actual model is constructed. A second horizontal distributed force, the same as the first horizontal distributed force, is applied to the reference model, and the second equivalent lateral stiffness is calculated. The lateral deformation of the reference model is obtained through static calculation. The resultant force of the second horizontal distributed force is divided by the top lateral deformation of the reference model to obtain the second equivalent lateral stiffness. Based on the first equivalent lateral stiffness, the second equivalent lateral stiffness, and the mass of each layer of the actual model, a non-uniformity coefficient is calculated; wherein, the non-uniformity coefficient includes a stiffness non-uniformity coefficient and a mass non-uniformity coefficient, the ratio of the first equivalent lateral stiffness to the second equivalent lateral stiffness is used as the stiffness non-uniformity coefficient, and the mass non-uniformity coefficient is calculated based on the mass of each layer of the actual model. Based on the non-uniformity coefficient, a stiffness-to-weight ratio limit is calculated, and the actual stiffness-to-weight ratio is compared with the limit to determine whether the actual model meets the stability and safety requirements. Specifically, a calculation expression is constructed using the stiffness non-uniformity coefficient and the mass non-uniformity coefficient as independent variables and the stiffness-to-weight ratio limit as the dependent variable. Based on the calculation expression, the stiffness non-uniformity coefficient, and the mass non-uniformity coefficient of the actual model, the stiffness-to-weight ratio limit is calculated. The calculation expression is a parametric expression formed by the coupling of the stiffness non-uniformity coefficient and the mass non-uniformity coefficient, which can degenerate into a single parametric expression. For a single mass non-uniformity coefficient, a linear proportional influence law applies; for a single stiffness non-uniformity coefficient, an exponential influence law applies.

2. The method for calculating and controlling the stiffness-to-weight ratio of a building structure as described in claim 1, characterized in that, The lateral deformation at the top of the actual model obtained through static calculation is the deformation at the center of the structural roof stiffness, ignoring the deformation of small towers or structures protruding from the roof.

3. The method for calculating and controlling the stiffness-to-weight ratio of a building structure as described in claim 1, characterized in that, The step of comparing the actual stiffness-to-weight ratio with the stiffness-to-weight ratio limit to determine whether the actual model meets the stability and safety requirements includes: If the actual stiffness-to-weight ratio is greater than the stiffness-to-weight ratio limit, then the actual model meets the stability and safety requirements. If the actual stiffness-to-weight ratio is less than or equal to the stiffness-to-weight ratio limit, and greater than or equal to a preset multiple of the stiffness-to-weight ratio limit, then the second-order effect needs to be considered. If the actual stiffness-to-weight ratio is less than a preset multiple of the stiffness-to-weight ratio limit, then the actual model does not meet the stability and safety requirements.

4. The method for calculating and controlling the stiffness-to-weight ratio of a building structure as described in claim 1, characterized in that, The first horizontal distributed force is applied to the stiffness center of each floor of the actual model; the second horizontal distributed force is applied to the stiffness center of each floor of the reference model; the magnitude and direction of the first horizontal distributed force and the second horizontal distributed force are the same.

5. The method for calculating and controlling the stiffness-to-weight ratio of a building structure as described in claim 1, characterized in that, The first horizontally distributed force is a lateral force distributed along the height direction and applied in a direction toward or away from the actual model; the second horizontally distributed force is a lateral force distributed along the height direction and applied in a direction toward or away from the reference model.

6. The method for calculating and controlling the stiffness-to-weight ratio of a building structure as described in claim 1, characterized in that, All floors of the reference model are standard floors, which are the floors with the largest cross-sectional area among the bottom or near-bottom components of the actual model.

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