ETFE air cushion film mounting structure and construction method thereof

By introducing cross rib plates, aluminum alloy profiles and bird-proof frames into the ETFE air-pillow membrane installation structure, the problems of poor stability, weak durability and bird damage in the ETFE air-pillow membrane installation structure in the prior art are solved, and higher stability and durability are achieved.

CN119801314APending Publication Date: 2025-04-11CHINA FIRST METALLURGICAL GROUP
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Patent Information

Application Number
CN202411594764.8
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-11-10
Publication Date
2025-04-11

AI Technical Summary

Technical Problem

The existing ETFE air-occipital membrane installation structure has problems such as poor stability, weak durability and bird damage.

Method used

An installation structure including a tubular main structure, a cross rib plate, an inflatable pipe, an aluminum alloy profile, an ETFE air cushion and a bird-proof frame are adopted. By setting cross rib plates on the main structure, a stable foundation support is provided; the use of aluminum alloy profiles and bird-proof frames enhances the stability and protection capabilities of the structure.

Benefits of technology

It improves the stability and durability of the ETFE air occipital membrane, ensures the structure is stable under harsh conditions, prevents bird damage, and improves the overall reliability and durability.

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Abstract

The invention discloses an ETFE air pillow film mounting structure. The ETFE air pillow film mounting structure comprises a cylindrical tubular main structure; the cross-shaped rib plates are evenly arranged on the upper end face of the tubular main structure in the longitudinal direction, each cross-shaped rib plate comprises a web which is vertically arranged and fixedly connected with the upper end face of the tubular main structure and a panel which is horizontally arranged on the upper end face of the web, and a circular through hole is formed in the middle of the web; the inflation pipeline comprises a longitudinal pipeline arranged in the longitudinal direction and arc-shaped pipelines symmetrically arranged at the two ends of the longitudinal pipeline, and the longitudinal pipeline perpendicularly penetrates through the middle circular through hole of the web; the aluminum alloy profile is in a long strip shape, and the ETFE air pillow film penetrates through a gap of the aluminum alloy profile and is fixed in the gap; the anti-bird frames are uniformly arranged on the aluminum cover plate at the upper part of the aluminum alloy profile along the longitudinal direction; the invention further discloses a corresponding construction method. And good structural stability, safety, reliability and durability are achieved.
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Description

Technical Field

[0001] The invention belongs to the field of building construction, and in particular relates to an ETFE air pillow membrane installation structure and a construction method thereof. Background Art

[0002] The ETFE air pillow membrane installation structure is a structural form composed of ETFE (ethylene tetrafluoroethylene copolymer) membrane material and steel components or other structural skeletons. It has extremely high transparency and light weight, which can significantly enhance the spatial perception and user experience of the building. The weight of the ETFE membrane is about 1 / 100 to 1 / 20 of that of traditional architectural glass, which greatly reduces the structural load of the entire building. The ETFE membrane has a high light transmittance, about 90% of glass, which can effectively provide natural lighting, so that the interior of the building has abundant natural light. The ETFE membrane has excellent insulation, corrosion resistance, UV resistance, heat resistance, anti-static and other properties, and can resist the changes in daily outdoor temperature and the erosion of bad weather. The ETFE membrane has good waterproof performance and can effectively prevent rainwater from eroding and corroding the building structure. The ETFE air pillow membrane has been widely used in the field of modern architecture with its unique composition and excellent performance characteristics.

[0003] In the existing technology, some methods have solved the safety issues of air pillow membrane installers, but there are problems with poor stability of the membrane structure and lack of reliable fulcrums for subsequent installation components; other methods have solved some problems with the water tank in the node structure of the air pillow membrane, but cannot guarantee the stability of the structure under harsh natural conditions; other methods have improved the stability and durability of the air pillow membrane, but have not solved the problem of damage to the air pillow membrane by birds and the like. Summary of the invention

[0004] The present invention aims to solve the problems of poor stability, stability and durability of the air pillow membrane installation structure existing in the above-mentioned background technology.

[0005] In view of the above problems, the technical solution adopted by the present invention is: an ETFE air pillow membrane installation structure, comprising:

[0006] A cylindrical tubular main structure;

[0007] A plurality of cross ribs uniformly arranged longitudinally on the upper end surface of the tubular main structure, each of the cross ribs comprising a web vertically arranged and fixedly connected to the upper end surface of the tubular main structure and a panel horizontally arranged on the upper end surface of the web, and a circular through hole is provided in the middle of the web;

[0008] An inflation pipe, comprising a longitudinal pipe arranged in the longitudinal direction and arc-shaped pipes symmetrically arranged at both ends of the longitudinal pipe, wherein the longitudinal pipe vertically passes through the circular through hole in the middle of the web;

[0009] The aluminum alloy profile is in the shape of a long strip, and includes two parts, the upper part is a long strip aluminum cover plate, and the lower part is a long strip arc-shaped pad with an arc-shaped cross section. There is a gap between the upper and lower parts for penetrating the air pillow membrane, and the lower part is buckled and covered and fixed on the panel;

[0010] The ETFE air pillow membrane passes through the gap between the upper and lower parts of the aluminum alloy profile and is fixed in the gap.

[0011] A plurality of bird-proofing frames are evenly arranged longitudinally on the upper aluminum cover plate of the aluminum alloy profile, each of the bird-proofing frames comprises a vertically arranged support arm and a horizontally arranged steel wire rope, a rope threading hole for threading the steel wire rope is provided at the upper end of the support arm, and the steel wire rope passes through the rope threading holes of adjacent support arms in turn and is tightened and fixed.

[0012] Furthermore, the web is fixedly connected to the tubular main structure by welding via a grommet.

[0013] Furthermore, the lower semicircular groove of the aluminum alloy profile is tightly fitted with the upper surface of the panel.

[0014] Furthermore, the bottom of the support arm is fixed to the upper aluminum cover plate of the aluminum alloy profile by bolts.

[0015] Furthermore, the spacings between adjacent cross rib plates are equal.

[0016] As another aspect of the present invention, it also relates to a construction method of an ETFE air pillow membrane installation structure, comprising the following steps:

[0017] S1: Preliminary preparation:

[0018] A plurality of the cross rib plates are uniformly welded along the longitudinal direction on the upper end surface of the tubular main structure;

[0019] Pass the longitudinal pipe through the circular through hole in the middle of the web in sequence, and connect the arc pipes at both ends of the longitudinal pipe to complete the installation of the inflation pipe;

[0020] S2: Framework construction:

[0021] Connecting a plurality of the aluminum alloy profiles in sequence to form a frame structure;

[0022] A flat belt is stretched on the frame structure for temporary fixing;

[0023] Transfer the ETFE air pillow membrane unit to the installation area;

[0024] S3: Membrane material unfolding:

[0025] The ETFE air pillow membranes are unfolded in order from high to low;

[0026] Real-time inspection of the integrity and direction of the membrane during the unfolding process;

[0027] S4: Assembly and Inflation:

[0028] Inserting the short side of the unfolded ETFE air pillow membrane into the gap of the aluminum alloy profile;

[0029] Cover the upper aluminum cover plate of the aluminum alloy profile and fix it;

[0030] The connection between the inflation tube and the ETFE air pillow film is sealed;

[0031] Carry out the first inflation and observe the expansion of the membrane material;

[0032] After connecting the inflation branch pipe, inflate for the second time until the air pillow reaches the safety air pressure P_safe;

[0033] S5: Protective installation:

[0034] A plurality of the support arms are evenly installed in the longitudinal direction on the upper aluminum cover plate of the aluminum alloy profile;

[0035] Passing the steel wire rope through the rope holes of adjacent supporting arms in sequence;

[0036] The steel wire rope is tightened and fixed to complete the installation of the bird-proof frame.

[0037] Furthermore, the inflation process in step S4 includes:

[0038] A special sealing strip is used to seal the connection between the inflation tube and the ETFE air pillow film;

[0039] When inflating for the first time, the inflation pressure is controlled at 80% of the design pressure;

[0040] After connecting the inflation branch pipe, carry out the second inflation until the inflation pressure reaches 100% of the design pressure; during the inflation process, use a barometer to monitor the inflation pressure in real time; observe the uniformity of membrane material expansion; if any abnormality is found, adjust the inflation rate or suspend inflation in time.

[0041] Furthermore, when installing multiple membrane units, two groups of personnel are used to perform symmetrical construction, including:

[0042] First, two groups of people simultaneously install the first membrane unit from the center to both sides;

[0043] After confirming that the first membrane unit was installed, the two groups of personnel continued to install the remaining membrane units symmetrically outward.

[0044] Furthermore, when the ETFE air pillow membrane is unfolded in step S3:

[0045] The membrane material is gradually unfolded manually;

[0046] During the unfolding process, at least two people should operate simultaneously to ensure uniform tension of the membrane;

[0047] Check the membrane surface in real time to ensure there are no wrinkles or damage defects.

[0048] Furthermore, the method for determining the safety air pressure P_safe includes:

[0049] S1: Determine the physical properties of the air pillow membrane material, including elastic modulus E, Poisson's ratio ν and thickness t;

[0050] S2: Determine environmental conditions, including maximum temperature T_max;

[0051] S3: Determine the wind load W, including the wind speed v and the surface area A of the air pillow membrane;

[0052] S4: The safety air pressure P_safe of the air pillow membrane is calculated by the following formula:

[0053]

[0054] P safe is the safety air pressure of the air pillow membrane, W is the wind load, which can be calculated by the wind speed v and the surface area A of the air pillow membrane. Where ρ is the air density; σ is the tensile strength of the air pillow film material, E is the elastic modulus of the air pillow film material, ν is the Poisson's ratio of the air pillow film material, t is the thickness of the air pillow film, α is the thermal expansion coefficient of the air pillow film material, T max is the maximum temperature and T0 is the reference temperature.

[0055] The beneficial effects and features of the present invention are:

[0056] 1. The ETFE air pillow membrane structure installation and construction method of the present invention innovatively proposes a method for determining the safe air pressure by comprehensively considering temperature and wind load, thereby ensuring that the air pressure of the ETFE air pillow membrane is within a safe range and will not cause damage to the air pillow membrane, thereby improving the durability and safety of the air pillow membrane.

[0057] 2. The ETFE air pillow membrane structure of the present invention provides a solid foundation support for the entire air pillow membrane structure by arranging a plurality of cross ribs on the main structure, ensuring that each component to be installed subsequently has a reliable fulcrum point, thereby enhancing the stability of the overall structure.

[0058] 3. The ETFE air pillow membrane structure installation construction method of the present invention first connects the aluminum alloy profile, then passes the membrane material through the aluminum alloy profile and covers the aluminum cover plate, so that the components are tightly connected to form an organic whole structure, which can better withstand external loads under adverse conditions, such as wind force in windy weather, loads under rain and snow conditions, etc.; by setting up a bird-proof frame, the problem that the air pillow membrane is easily damaged by birds is solved, and the reliability and durability of the ETFE air pillow membrane are improved. BRIEF DESCRIPTION OF THE DRAWINGS

[0059] Figure 1 It is a schematic diagram of the main structure and welded cross rib plates of a preferred embodiment of the present invention;

[0060] Figure 2 This is a schematic diagram of the installation of the inflation pipeline of a preferred embodiment of the present invention;

[0061] Figure 3 It is a schematic diagram of the installation of the aluminum alloy profile of a preferred embodiment of the present invention;

[0062] Figure 4 This is a schematic diagram of installing the ETFE air pillow membrane in a preferred embodiment of the present invention;

[0063] Figure 5 This is a schematic diagram of the installation of the ETFE air pillow membrane of the preferred embodiment of the present invention (after covering with a long strip of aluminum cover);

[0064] Figure 6 This is a schematic diagram of the connection between the inflation pipe and the ETFE air pillow membrane material in a preferred embodiment of the present invention;

[0065] Figure 7 This is a schematic diagram of inflating the ETFE air pillow membrane material in a preferred embodiment of the present invention;

[0066] Figure 8 This is a schematic diagram of the installation of a bird-proof frame according to a preferred embodiment of the present invention;

[0067] Fig. 9 This is a schematic diagram of the connection of the inflatable branch pipe and the aluminum alloy profile structure of a preferred embodiment of the present invention;

[0068] Fig.10 This is a schematic diagram of the ETFE air pillow membrane after inflation in a preferred embodiment of the present invention;

[0069] 1- tubular main structure; 2- cross rib plate; 21- web plate; 22- panel; 3- inflatable pipe; 31- longitudinal pipe; 32- arc pipe; 4- aluminum alloy profile; 41- long strip aluminum cover plate, 42- arc pad plate, 5- ETFE air pillow membrane; 6- bird-proof frame; 61- support arm; 62- wire rope; DETAILED DESCRIPTION

[0070] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0071] Please refer to Figure 1 to Figure 3 The ETFE air pillow membrane structure of the present invention comprises a tubular main structure 1, a cross rib plate 2, an inflatable pipe 3, an aluminum alloy profile 4, an ETFE air pillow membrane 5 and a bird-proof frame 6; there are a plurality of cross rib plates 2, which are longitudinally and evenly arranged on the upper end surface of the tubular main structure 1, and each cross rib plate 2 comprises a web 21 fixedly connected to the upper end surface of the tubular main structure 1 and a panel 22 arranged on the upper end surface of the web 21; a hole is opened in the middle of the web 21;

[0072] Please refer to Figure 2 to Figure 5 The inflation pipe 3 includes a longitudinal pipe 31 arranged longitudinally and an arc-shaped pipe 32 arranged at the end of the longitudinal pipe 31, and the longitudinal pipe 31 passes through the middle opening of the web 21;

[0073] Please refer to Figure 6 to Figure 10 , a long strip of aluminum alloy profile 4, which includes an upper and lower part, the upper part is a long strip of aluminum cover plate 41, and the lower part is a long strip of arc-shaped arc pad 42 with an arc-shaped cross section, and a gap for penetrating the air pillow membrane is provided between the upper and lower parts, and the lower part is buckled and covered and fixed on the panel 22;

[0074] The ETFE air pillow membrane 5 passes through the gap between the upper and lower parts of the aluminum alloy profile 4 and is fixed in the gap.

[0075] There are multiple bird-proof frames 6, which are evenly arranged longitudinally on the aluminum cover plate on the upper part of the aluminum alloy profile 4. Each bird-proof frame 6 is divided into a support arm and a steel wire rope, and the support arm is provided with a rope threading hole; the steel wire rope passes through the rope threading holes on the support arm in sequence and is tightened and fixed to form a series of continuous positions for birds to grab, so as to prevent birds from standing directly on the membrane.

[0076] In some other embodiments, the bird-proof frame can also be designed in other forms, such as being designed to place bird spikes or using an artificial bird nest to prevent bird droppings and bird nest failures. The artificial bird nest is composed of a bird nest, a fixing fixture, a connecting bolt, and a bird-falling frame. The bird nest is preferably made of rattan, and the fixing fixture, the connecting bolt, and the bird-falling frame are made of galvanized steel.

[0077] Specific construction steps:

[0078] S1: Preliminary preparation 1. Weld the cross ribs on the main structure to provide a stable basic support structure for subsequent installation. 2. Install the inflation pipes until all the inflation pipes are installed.

[0079] S2: Connection and transfer 1. Connect the aluminum alloy profiles to ensure that all parts are firmly connected and build a frame for the membrane structure. 2. Pull the flat belt to provide positioning and auxiliary support for the placement and deployment of the membrane unit (pull the flat belt is an existing technology, so it is not expanded in detail). 3. Manually transfer the unit membrane to the installation area and prepare for the deployment operation.

[0080] S3: Membrane unfolding operation 1. Unfold the membrane roll from high to low, and pay attention to the integrity of the membrane material and the accuracy of the unfolding direction during the process. 2. Continue to unfold until the unit air pillow membrane is unfolded, ensuring that the membrane material is fully unfolded and has no wrinkles or damage.

[0081] S4: Membrane assembly 1. Insert the unfolded membrane into the aluminum alloy profile so that the membrane and the aluminum alloy profile fit closely to ensure the stability of the structure. 2. Cover with the aluminum cover plate to further fix the connection between the membrane and the aluminum alloy profile to enhance the stability of the overall structure. Inflation system connection and inflation 1. Connect the inflation pipe to the membrane to ensure a tight connection without the possibility of gas leakage. 2. Inflate the membrane and pay close attention to the expansion of the membrane during the inflation process to ensure uniform inflation. 3. Connect the inflation branch pipe and start inflation again until the inflation is complete so that the air pillow reaches the inflation state required by the design.

[0082] S5: Subsequent installation 1. Install bird-proof frames to prevent birds from damaging the air pillow membrane structure. 2. During the construction process, if multiple membrane units are installed, two groups of personnel will be used for symmetrical construction. First install the first membrane unit, and then continue to install the remaining membrane units to ensure the consistency of construction progress and quality.

[0083] As another aspect of the present invention, some embodiments further provide a method for determining a safety air pressure P_safe, specifically comprising:

[0084] S1: Determine the physical properties of the air pillow membrane material, including elastic modulus E, Poisson's ratio ν and thickness t;

[0085] S2: Determine environmental conditions, including maximum temperature T_max;

[0086] S3: Determine the wind load W, including the wind speed v and the surface area A of the air pillow membrane;

[0087] S4: The safety air pressure P_safe of the air pillow membrane is calculated by the following formula:

[0088]

[0089] P safe is the safety air pressure of the air pillow membrane, W is the wind load, which can be calculated by the wind speed v and the surface area A of the air pillow membrane. Where ρ is the air density; σ is the tensile strength of the air pillow film material, E is the elastic modulus of the air pillow film material, ν is the Poisson's ratio of the air pillow film material, t is the thickness of the air pillow film, α is the thermal expansion coefficient of the air pillow film material, T max is the maximum temperature and T0 is the reference temperature.

[0090] In some preferred embodiments, during the design and installation of the membrane structure, the stability of the membrane structure under strong winds can be enhanced by increasing the number of membrane material fixing points, improving the strength of the fixings, and setting windproof cables. At the same time, in the design of the membrane structure, wind resistance is minimized to avoid forming a large wind load. An intelligent monitoring system can also be integrated to monitor the air pressure, temperature and structural integrity of the air pillow membrane in real time, and automatically adjust the air pressure to adapt to environmental changes.

[0091] The above shows and describes the basic principles, main features and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments, and the above embodiments and descriptions are only for explaining the structural relationship and principles of the present invention. Without departing from the spirit and scope of the present invention, the present invention may have various changes and improvements, and these changes and improvements all fall within the scope of the present invention to be protected.

Claims

1. An ETFE air pillow membrane installation structure, characterized in that: include: A cylindrical tubular main structure (1); A plurality of cross ribs (2) uniformly arranged along the longitudinal direction on the upper end surface of the tubular main structure (1), each of the cross ribs (2) comprising a web (21) vertically arranged and fixedly connected to the upper end surface of the tubular main structure (1) and a panel (22) horizontally arranged on the upper end surface of the web (21), and a circular through hole is provided in the middle of the web (21); An inflation pipe (3), comprising a longitudinal pipe (31) arranged in the longitudinal direction and arc-shaped pipes (32) symmetrically arranged at both ends of the longitudinal pipe (31), wherein the longitudinal pipe (31) vertically passes through the circular through hole in the middle of the web (21); The aluminum alloy profile (4) is in the shape of a long strip, and comprises an upper and lower part, the upper part is a long strip aluminum cover plate (41), and the lower part is a long strip arc-shaped pad plate (42) with an arc-shaped cross section, a gap for passing an air pillow membrane is provided between the upper and lower parts, and the lower part is buckled and covered and fixed on the panel (22); The ETFE air pillow membrane (5) passes through the gap between the upper and lower parts of the aluminum alloy profile (4) and is fixed in the gap.

2. The ETFE air pillow membrane installation structure according to claim 1, characterized in that: The invention also comprises a plurality of bird-proof frames (6) uniformly arranged in the longitudinal direction on the upper aluminum cover plate (41) of the aluminum alloy profile (4), each of the bird-proof frames (6) comprising a vertically arranged support arm (61) and a horizontally arranged steel wire rope (62), the upper end of the support arm (61) being provided with a rope threading hole for threading the steel wire rope (62), the steel wire rope (62) being passed through the rope threading holes of adjacent support arms (61) in sequence and being tightened and fixed.

3. The ETFE air pillow membrane installation structure according to claim 1, characterized in that: The lower semicircular groove of the aluminum alloy profile (4) is tightly fitted to the upper surface of the panel (22).

4. The ETFE air pillow membrane installation structure according to claim 1, characterized in that: The bottom of the support arm (61) is fixed to the upper aluminum cover plate of the aluminum alloy profile (4) by means of bolts.

5. The ETFE air pillow membrane installation structure according to claim 1, characterized in that: The spacing between adjacent cross rib plates (2) is equal.

6. A construction method for the ETFE air pillow membrane installation structure according to any one of claims 1 to 5, characterized in that: The following steps are involved: S1: Preliminary preparation: A plurality of the cross rib plates (2) are uniformly welded along the longitudinal direction on the upper end surface of the tubular main structure (1); The longitudinal pipe (31) is sequentially passed through the circular through hole in the middle of the web (21), and the arc-shaped pipes (32) are connected to both ends of the longitudinal pipe (31), thereby completing the installation of the inflation pipe (3); S2: Framework construction: Connecting a plurality of the aluminum alloy profiles (4) in sequence to form a frame structure; A flat belt is stretched on the frame structure for temporary fixing; Transferring the ETFE air pillow membrane (5) unit to the installation area; S3: Membrane material unfolding: The ETFE air pillow membranes (5) are unfolded in order from high to low; Real-time inspection of the integrity and direction of the membrane during the unfolding process; S4: Assembly and Inflation: Inserting the short side of the unfolded ETFE air pillow membrane (5) into the gap of the aluminum alloy profile (4); Covering the upper aluminum cover plate of the aluminum alloy profile (4) and fixing it; The connection between the inflation tube and the ETFE air pillow film (5) is sealed; Carry out the first inflation and observe the expansion of the membrane material; After connecting the inflation branch pipe, inflate for the second time until the air pillow reaches the safety air pressure P_safe; S5: Protective installation: A plurality of the support arms (61) are evenly mounted in the longitudinal direction on the upper aluminum cover plate of the aluminum alloy profile (4); Passing the steel wire rope (62) through the rope threading holes of adjacent supporting arms (61) in sequence; The steel wire rope (62) is tightened and fixed to complete the installation of the bird-proof frame (6).

7. The construction method of the ETFE air pillow membrane installation structure according to claim 6, characterized in that: The inflation process in step S4 includes: A special sealing strip is used to seal the connection between the inflation tube and the ETFE air pillow film (5); When inflating for the first time, the inflation pressure is controlled at 75-85% of the design pressure; After connecting the inflation branch pipe, carry out the second inflation until the inflation pressure reaches 100% of the design pressure; during the inflation process, use a barometer to monitor the inflation pressure in real time; observe the uniformity of membrane material expansion; if any abnormality is found, adjust the inflation rate or suspend inflation in time.

8. The construction method of the ETFE air pillow membrane installation structure according to claim 6, characterized in that: When installing multiple membrane units, two groups of people are used for symmetrical construction, including: First, two groups of people simultaneously install the first membrane unit from the center to both sides; After confirming that the installation of the first membrane unit was completed, the two groups of personnel continued to install the remaining membrane units symmetrically outward.

9. The construction method of the ETFE air pillow membrane installation structure according to claim 6, characterized in that: When the ETFE air pillow film (5) is unfolded in step S3: The membrane material is gradually unfolded manually; During the unfolding process, at least two people should operate simultaneously to ensure uniform tension of the membrane; Check the membrane surface in real time to ensure there are no wrinkles or damage defects.

10. The construction method of the ETFE air pillow membrane installation structure according to any one of claims 6 to 9, characterized in that: The method for determining the safety air pressure P_safe includes: S1: Determine the physical properties of the air pillow membrane material, including elastic modulus E, Poisson's ratio ν and thickness t; S2: Determine environmental conditions, including maximum temperature T_max; S3: Determine the wind load W, including the wind speed v and the surface area A of the air pillow membrane; S4: The safety air pressure P_safe of the air pillow membrane is calculated by the following formula: P safe is the safety air pressure of the air pillow membrane, W is the wind load, which can be calculated by the wind speed v and the surface area A of the air pillow membrane. Where ρ is the air density; σ is the tensile strength of the air pillow film material, E is the elastic modulus of the air pillow film material, ν is the Poisson's ratio of the air pillow film material, t is the thickness of the air pillow film, α is the thermal expansion coefficient of the air pillow film material, T max is the maximum temperature and T0 is the reference temperature.

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