Method for calculating wind vibration coefficient of large-span venue roof structure

Abstract

The invention discloses a large-span venue roof structure wind vibration coefficient calculation method, and belongs to the technical field of large-span venue vibration calculation, and the method comprises the steps: calculating wind loads of all pressure measurement points; counting the number of nodes in the control range of each measuring point; calculating the wind load of the node; calculating the displacement of the node under the action of the wind load; calculating a displacement wind vibration coefficient of the node; calculating a wind vibration coefficient of the measuring point based on a load equivalence principle; the large-span venue roof structure is partitioned; carrying out statistics on pressure measuring point coefficients in different partitions; and considering the average wind pressure coefficient of the pressure measuring points in the subareas, and calculating the wind vibration coefficient of the subareas. According to the method, the wind vibration coefficient of the large-span venue roof structure can be accurately calculated through the wind pressure coefficient obtained through the wind tunnel test.

Description

Technical Field

[0001] The present invention belongs to the technical field of vibration calculation of large-span venues, and more specifically, relates to a method for calculating the wind vibration coefficient of a roof structure of a large-span venue. Background Art

[0002] Large-span venues play an increasingly important role in the field of modern architecture due to their unique spatial advantages, structural characteristics, functionality, economy and sustainability, and the combination of technology and art. They are widely used in scenes such as stadiums, exhibition halls, conference centers and industrial plants. Due to the unique roof structure and shape of large-span venues, the pressure distribution formed by wind loads on their surfaces is often complex and changeable. Different wind directions, wind speeds, and the surrounding environment of the venue (such as other buildings, landforms, etc.) will affect the distribution of wind pressure, which in turn affects the safety of the structure. Under the action of wind loads, the roof structure of large-span venues will vibrate and deform. If the design is improper or the wind load is too large, it may cause the structural vibration to intensify, the deformation to exceed the allowable range, and even cause structural damage.

[0003] When designing a large-span venue, the wind load is generally determined through a scaled model wind tunnel test. The wind tunnel test can only obtain the wind pressure coefficient time course at different pressure measuring points. The "Building Structure Load Code GB50009-2012" stipulates that the dynamic effect of wind load on the structure should be reflected through the wind vibration coefficient. However, the "Building Structure Load Code GB50009-2012" only gives the wind vibration coefficient of general high-rise buildings, and does not give a calculation method for the wind vibration coefficient of large-span venues. How to accurately calculate the wind vibration coefficient of the roof structure of a large-span venue through the wind pressure coefficient obtained by the wind tunnel test is a problem that needs to be solved. Summary of the invention

[0004] In view of the above defects or improvement needs of the prior art, the present invention proposes a method for calculating the wind vibration coefficient of the large-span venue roof structure, which can accurately calculate the wind vibration coefficient of the large-span venue roof structure through the wind pressure coefficient obtained by wind tunnel test.

[0005] To achieve the above object, the present invention provides a method for calculating the wind vibration coefficient of a large-span stadium roof structure, comprising:

[0006] Calculate the wind loads at all pressure measuring points and count the number of nodes within the control range of each pressure measuring point;

[0007] The wind load of the nodes within the control range is calculated based on the wind load at the pressure measuring point and the number of nodes within the corresponding control range;

[0008] Load the calculated wind load of each node to the corresponding node, and calculate the displacement of each node under the action of wind load;

[0009] The displacement wind vibration coefficient of the node is calculated by the displacement of the node under the action of wind load. Based on the load equivalence principle, the displacement wind vibration coefficient of each node under the control of each pressure measuring point is weighted averaged to the corresponding pressure measuring point according to the area to obtain the wind vibration coefficient of each pressure measuring point;

[0010] The roof structure of large-span venues is divided into zones, the wind vibration coefficients of the pressure measuring points in different zones are counted, the average wind pressure coefficient of the pressure measuring points in the zone is considered, and the wind vibration coefficient of the zone is calculated.

[0011] In some optional embodiments, Calculate the wind loads on nodes within the control range, where C pi (t) is the wind load at pressure measuring point i, A i is the controlled area of ​​pressure measuring point i, there are k structural nodes within the range of pressure measuring point i, ρ is the air density, and u is the wind speed at the reference point of the wind tunnel test.

[0012] In some optional embodiments, The displacement of each node under wind load, the displacement time history of node j in three directions is x(t) j ,y(t) j and z(t) j .

[0013] In some optional embodiments, Calculate the displacement wind vibration coefficient of the node, where: is the average value of the total displacement time history of node j, g is the peak factor, σ uj is the standard deviation of the total displacement time history of node j.

[0014] In some optional embodiments, Calculate the wind vibration coefficient of the partition, where t is the number of measuring points in the sth partition, k is the number of nodes controlled by the i-th measuring point, and C pi is the net wind pressure coefficient at the i-th measuring point, A j is the control area of ​​node j.

[0015] In general, the above technical solutions conceived by the present invention can achieve the following beneficial effects compared with the prior art:

[0016] Calculate the wind load of all pressure measuring points, and count the number of nodes within the control range of each pressure measuring point; calculate the wind load of the nodes within the control range based on the wind load of the pressure measuring point and the number of nodes within the corresponding control range; load the calculated wind load of each node to the corresponding node, and calculate the displacement of each node under the action of the wind load; calculate the displacement wind vibration coefficient of the node based on the displacement of the node under the action of the wind load, and based on the load equivalence principle, weight the displacement wind vibration coefficient of each node under the control of each pressure measuring point to the corresponding pressure measuring point according to the area weighted average to obtain the wind vibration coefficient of each pressure measuring point; partition the roof structure of the large-span venue, count the wind vibration coefficients of the pressure measuring points in different partitions, and consider the average wind pressure coefficient of the pressure measuring points in the partition to calculate the wind vibration coefficient of the partition. The present invention can accurately calculate the wind vibration coefficient of the roof structure of the large-span venue through the wind pressure coefficient obtained by the wind tunnel test. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] Figure 1 It is a node diagram of a large-span stadium roof structure provided by an embodiment of the present invention;

[0018] Figure 2 It is a layout diagram of pressure measuring points on the roof of a large-span venue provided by an embodiment of the present invention;

[0019] Figure 3 It is a modal diagram for wind-induced vibration calculation of a large-span stadium provided by an embodiment of the present invention;

[0020] Figure 4 It is a wind vibration coefficient zoning diagram of a large-span venue provided by an embodiment of the present invention;

[0021] Figure 5 The present invention provides a process for calculating the wind vibration coefficient of a large-span stadium roof structure. DETAILED DESCRIPTION

[0022] In order to make the purpose, technical solutions and advantages of the present invention more clearly understood, the present invention is further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention and are not intended to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not conflict with each other.

[0023] like Figure 5 As shown, a process for calculating the wind vibration coefficient of a large-span stadium roof structure provided by an embodiment of the present invention includes the following steps:

[0024] (1) Calculate the wind loads at all pressure measuring points;

[0025] (2) Count the number of nodes within the control range of each measuring point;

[0026] (3) Calculate the wind load of node j;

[0027] (4) Calculate the displacement of node j under the action of wind load;

[0028] (5) Calculate the displacement wind-induced coefficient of node j;

[0029] (6) Calculate the wind-induced coefficient of measuring point i based on the principle of load equivalence;

[0030] (7) Divide the roof structure of the large-span stadium into zones;

[0031] (8) Count the pressure measurement point coefficients in different zones;

[0032] (9) Considering the average wind pressure coefficient of the pressure measurement points in the zone, calculate the wind-induced coefficient of zone s.

[0033] As Figure 1 shown, there are n structural nodes on the roof of a large-span stadium. As Figure 2 shown, m pressure measurement points are set on the stadium roof during the wind tunnel test. Generally speaking, the number of structural nodes is much more than the number of pressure measurement points, that is, m < n. Assume that the wind pressure coefficient of measuring point i is C pi (t), the control area of measuring point i is A i , and there are k structural nodes within the range of measuring point i. Then the wind load time history of these k nodes is:

[0034]

[0035] Where: ρ is the air density, and u is the wind speed at the reference point of the wind tunnel test.

[0036] The wind load time history of all structural nodes can be obtained by the same method. As Figure 3 shown, load the wind load time history onto different structural nodes and calculate the displacement time history of different nodes. Denote the displacement time history of node j in three directions as x j (t), y j (t), and z j (t). The total displacement time history of this node is:

[0037]

[0038] The displacement wind-induced coefficient of node j is:

[0039]

[0040] Where: is the average value of the total displacement time history of node j, that is, add the displacements at all time points and then divide by the number of displacement points; g is the peak factor, taking 3.0; σ uj is the standard deviation of the total displacement time history of node j.

[0041] Based on the load equivalence principle, the wind vibration coefficients of each node under the control of each measuring point are weighted averaged to the measuring point according to the area. The specific calculation formula of the wind vibration coefficient of measuring point i is as follows:

[0042]

[0043] Where: k is the number of nodes controlled by the i-th measuring point; A j is the control area of ​​node j.

[0044] At the same time, in order to facilitate engineering applications, such as Figure 4 The wind vibration coefficient of the partition of the large-span venue is given. The contribution of the control area of ​​different nodes and the average wind pressure coefficient of different measuring points to the overall body coefficient of each partition is considered. The specific calculation formula of the wind vibration coefficient of each partition of the building is as follows:

[0045]

[0046] Where: t is the number of measuring points in the sth partition; k is the number of nodes controlled by the i-th measuring point; C Pi is the net wind pressure coefficient at the i-th measuring point; A j is the control area of ​​node j.

[0047] It should be pointed out that, according to the needs of implementation, the various steps / components described in this application can be split into more steps / components, and two or more steps / components or partial operations of steps / components can be combined into new steps / components to achieve the purpose of the present invention.

[0048] It will be easily understood by those skilled in the art that the above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the protection scope of the present invention.

Claims

1. A method for calculating the wind vibration coefficient of a large-span venue roof structure, characterized in that: include: Calculate the wind loads at all pressure measuring points and count the number of nodes within the control range of each pressure measuring point; The wind load of the nodes within the control range is calculated based on the wind load of the pressure measuring point and the number of nodes within the corresponding control range; Load the calculated wind load of each node to the corresponding node, and calculate the displacement of each node under the action of wind load; The displacement wind vibration coefficient of the node is calculated from the displacement of the node under the action of wind load. Based on the load equivalence principle, the displacement wind vibration coefficient of each node under the control of each pressure measuring point is weighted averaged to the corresponding pressure measuring point according to the area to obtain the wind vibration coefficient of each pressure measuring point; The roof structure of large-span venues is divided into zones, the wind vibration coefficients of the pressure measuring points in different zones are counted, the average wind pressure coefficient of the pressure measuring points in the zone is considered, and the wind vibration coefficient of the zone is calculated.

2. The calculation method according to claim 1, characterized in that: Depend on Calculate the wind loads on nodes within the control range, where C pi (t) is the wind load at pressure measuring point i, A i is the controlled area of ​​pressure measuring point i, there are k structural nodes within the range of pressure measuring point i, ρ is the air density, and u is the wind speed at the reference point of the wind tunnel test.

3. The calculation method according to claim 2, characterized in that: Depend on The displacement of each node under wind load, the displacement time history of node j in three directions is x(t) j ,y(t) j and z(t) j .

4. The calculation method according to claim 3, characterized in that: Depend on Calculate the displacement wind vibration coefficient of the node, where: is the average value of the total displacement time history of node j, g is the peak factor, σ uj is the standard deviation of the total displacement time history of node j.

5. The calculation method according to claim 4, characterized in that: Depend on Calculate the wind vibration coefficient of the partition, where t is the number of measuring points in the sth partition, k is the number of nodes controlled by the i-th measuring point, and C pi is the net wind pressure coefficient at the i-th measuring point, A j is the control area of ​​node j.

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