Shape design method, device and equipment of overpressure balloon and storage medium

Abstract

The application relates to the technical field of aerostats, and provides a shape design method, device and equipment of an overpressure balloon and a storage medium. The method comprises the following steps: obtaining external parameters of a bidirectional tension overpressure balloon; the external parameters comprise a load and an overpressure amount; constructing a generatrix-stress equation group of the overpressure balloon according to the external parameters; performing stress balance analysis on the overpressure balloon according to the generatrix-stress equation group, and determining shape parameters of the overpressure balloon; the shape parameters comprise a generatrix shape; and designing the shape of the overpressure balloon according to the shape parameters. By constructing the generatrix-stress equation, when the shape of the overpressure balloon is designed, the load and the boundary condition of the overpressure balloon under the condition of bidirectional tension are considered, the problem that the overpressure balloon in the form of a regular sphere needs to be deformed to adapt to the load and the boundary condition under the condition of bidirectional tension, stress concentration and a weak area of the balloon membrane are prone to occurring is solved, and the stress distribution is more reasonable.

Description

Technical Field

[0001] This invention relates to the field of airship technology, and in particular to a method, apparatus and storage medium for designing the shape of an overpressure balloon. Background Technology

[0002] Because near-space tandem aerostat systems can fully utilize the advantages of zero-pressure and overpressure balloons, they hold promise for solving existing problems such as short flight time and weak payload capacity of high-altitude balloons. Research on this system is significant for the development of high-altitude balloons, and the selection of the "float" overpressure balloon is crucial. In exploring spherical shapes for high-altitude balloons with more reasonable stress distribution, the idea of ​​solving for spherical shapes based on the completely rotationally symmetric generatrix-stress equations of balloons made solely of thin films has mostly appeared only in the spherical design of zero-pressure balloons. In studies on the spherical design of zero-pressure balloons, researchers have analyzed the influence of various assumptions about circumferential stress values ​​on the stress distribution of zero-pressure balloons, including zero circumferential stress, constant positive circumferential stress, variable circumferential stress linearly related to meridional stress, and piecewise circumferential stress. However, in studies on the spherical design of overpressure balloons, most first select a simple geometry or a combination thereof as a rough shape for the overpressure balloon, and then select appropriate shape parameters through stress analysis. Most studies do not consider loads and boundary conditions when designing the spherical shape of overpressure balloons. When the overpressure balloon is located in the middle of the system, i.e. under bidirectional tension, the load on the bottom of the overpressure balloon will cause large deformation at the bottom of the balloon, resulting in severe stress concentration and weak areas in the sphere membrane, leading to uneven stress distribution. Summary of the Invention

[0003] This invention provides a method, apparatus, and storage medium for designing the shape of an overpressure balloon, which addresses the shortcomings of existing technologies where the shape design of overpressure balloons does not consider load and boundary conditions, leading to deformation, stress concentration, and weak areas in the spherical membrane under bidirectional tension, resulting in unreasonable stress distribution.

[0004] This invention provides a method for designing the shape of an overpressure balloon, comprising:

[0005] Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0006] The generatrix-stress equations of the overpressure balloon are constructed based on the external parameters.

[0007] Based on the aforementioned generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters, including the generatrix shape.

[0008] The shape of the overpressure balloon is designed according to the shape parameters.

[0009] According to the method for designing the shape of an overpressure balloon provided by the present invention, the step of performing a force balance analysis on the overpressure balloon based on the generatrix-stress equations to determine the shape parameters of the overpressure balloon includes:

[0010] Using any target plane perpendicular to the rotation axis of the overpressure balloon, cut the overpressure balloon into an upper spherical part and a lower spherical part;

[0011] Obtain the planar parameters of the target plane and the attribute parameters of the overpressure balloon; the attribute parameters include the self-weight of the balloon membrane and the membrane surface density; the planar parameters include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon.

[0012] Based on the planar parameters and the property parameters of the overpressure balloon, the force balance analysis of the lower spherical part is performed according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon.

[0013] According to a method for designing the shape of an overpressure balloon provided by the present invention, the step of determining the shape parameters of the overpressure balloon by performing a force balance analysis on the lower spherical part based on the planar parameters and the property parameters of the overpressure balloon, according to the generatrix-stress equations, includes:

[0014] A force balance analysis was performed on the lower spherical part, and the force balance equation of the lower spherical part was constructed based on the self-weight of the membrane of the overpressure balloon.

[0015] Based on the theory of no torque in thin films, the stress-radius of curvature equation of the overpressure balloon is constructed according to the membrane surface density of the overpressure balloon.

[0016] Based on the force balance equation and the stress-radius of curvature equation, the meridional stress equation of the overpressure balloon is determined.

[0017] The first radius of curvature of the overpressure balloon is determined based on the generatrix-stress equation set and the stress-radius of curvature equation.

[0018] Based on the preset constraint condition of the first radius of curvature, the target constraint condition of the circumferential stress of the overpressure balloon is determined.

[0019] Based on the meridional stress equation and the target constraint conditions, the generatrix-stress equations are numerically solved to obtain the shape parameters of the overpressure balloon.

[0020] According to the method for designing the shape of an overpressure balloon provided by the present invention, the force balance equation is: 2πrσm cosθ=L+πr 2 P+M h ;

[0021] Where, σ m Let r be the meridional stress of the overpressure balloon, r be the radius of the cross-sectional circle, θ be the target angle, L be the load capacity in the external parameters of the overpressure balloon, P be the overpressure amount of the overpressure balloon, and M be the overpressure of the overpressure balloon. h M is the weight of the spherical membrane of the lower spherical portion; h The weight is determined based on the weight of the membrane of the overpressure balloon.

[0022] According to the method for designing the shape of an overpressure balloon provided by the present invention, the stress-radius of curvature equation is:

[0023]

[0024] Where, σ c R1 is the circumferential stress of the overpressure balloon, R2 is the first radius of curvature of any target point along the generatrix of the overpressure balloon, and z is the height of the cross-sectional circle relative to the bottom of the overpressure balloon; the target point is any point on the generatrix of the overpressure balloon; w = ρg, where ρ is the surface density of the membrane of the overpressure balloon and g is the gravitational acceleration.

[0025] According to the shape design method of an overpressure balloon provided by the present invention, the meridional stress equation is:

[0026] According to the method for designing the shape of an overpressure balloon provided by the present invention, the preset constraint condition for the first radius of curvature is: R1>0; when the overpressure balloon is subjected to bidirectional tension, the tension directions of the top and bottom of the overpressure balloon are parallel to the axis of rotation of the overpressure balloon; the meridional stress τ at any position of the spherical membrane of the overpressure balloon... m >0; The target constraint condition for the circumferential stress of the overpressure balloon is:

[0027]

[0028] n is a positive integer greater than 1; θ0 is the target angle between the tangent of the generatrix of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon when the cross-sectional circle is at the bottom of the overpressure sphere.

[0029] The present invention also provides a shape design device for an overpressure balloon, comprising:

[0030] The parameter acquisition module is used to acquire the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0031] An equation construction module is used to construct the generatrix-stress equation set of the overpressure balloon based on the external parameters.

[0032] The stress analysis module is used to perform stress balance analysis on the overpressure balloon according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon; the shape parameters include the shape of the generatrix.

[0033] A shape design module is used to design the shape of the overpressure balloon according to the shape parameters.

[0034] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the shape design method of the overpressure balloon as described above.

[0035] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the shape design method for the overpressure balloon as described above.

[0036] The present invention also provides a computer program product, including a computer program that, when executed by a processor, implements the shape design method for the overpressure balloon as described above.

[0037] The present invention provides a method, apparatus, device, and storage medium for designing the shape of an overpressure balloon. By acquiring the external parameters of the overpressure balloon and constructing a set of generatrix-stress equations, and performing a force balance analysis on the overpressure balloon under bidirectional tensile load conditions, the shape parameters of the overpressure balloon are determined. Compared to a perfectly spherical overpressure balloon, which needs to adapt to the load and boundary conditions through deformation under bidirectional tensile conditions and is prone to stress concentration and weak areas in the spherical membrane, the shape of the overpressure balloon designed based on these shape parameters fully considers the load capacity and boundary conditions of the overpressure balloon under bidirectional tensile load conditions, resulting in a more reasonable stress distribution in the sphere. Attached Figure Description

[0038] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.

[0039] Figure 1 This is one of the flowcharts illustrating the shape design method for the overpressure balloon provided by the present invention;

[0040] Figure 2This is a schematic diagram of the shape design device for the overpressure balloon provided by the present invention;

[0041] Figure 3 This is a schematic diagram of the structure of the electronic device provided by the present invention. Detailed Implementation

[0042] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions of this invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this invention. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.

[0043] The following is combined Figure 1 The method for designing the shape of the overpressure balloon of the present invention is described.

[0044] Figure 1 This is one of the flowcharts illustrating the shape design method for an overpressure balloon provided in an embodiment of the present invention, based on... Figure 1 The method for designing the shape of an overpressure balloon provided in this application includes:

[0045] Step 100: Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include load capacity and overpressure.

[0046] Step 200: Construct the generatrix-stress equation set of the overpressure balloon based on the external parameters;

[0047] Step 300: Based on the aforementioned generatrix-stress equations, perform a force balance analysis on the overpressure balloon to determine its shape parameters; the shape parameters include the shape of the generatrix.

[0048] Step 400: Design the shape of the overpressure balloon according to the shape parameters.

[0049] The overpressure balloon shape design method provided in this application is applied to overpressure balloons under biaxial tensile load conditions. Starting from the biaxial stress formula of thin film theory, the concepts of the first radius of curvature and the second radius of curvature are introduced into the spherical design of the overpressure balloon. Through qualitative analysis of the meridional stress and circumferential stress at the top and bottom of the sphere, the conditions that the numerical solution of the generatrix shape of the overpressure balloon with a more reasonable stress distribution than a regular spherical overpressure balloon of the same volume under biaxial tensile conditions are summarized, thereby obtaining the shape parameters of the overpressure balloon. The shape of the overpressure balloon is designed according to these shape parameters, and the stress distribution of the overpressure balloon under biaxial tensile load conditions is more reasonable than that of a regular sphere.

[0050] Specifically, in this embodiment, when designing the shape of the overpressure balloon, the external parameters of the overpressure balloon under bidirectional tension conditions are first obtained. These external parameters include constant parameters such as the overpressure and load capacity of the overpressure balloon. Based on the obtained external parameters, a set of generatrix-stress equations for a spherical overpressure balloon is constructed. Considering that a spherical overpressure balloon needs to deform to adapt to the load and boundary conditions under bidirectional tension, which easily leads to stress concentration and weak areas in the spherical membrane, a force balance analysis is performed on the overpressure balloon according to the constructed set of generatrix-stress equations to determine the shape parameters of the overpressure balloon under bidirectional tension load conditions. The resulting shape of the overpressure balloon, under bidirectional tension conditions, has a more reasonable stress distribution in the sphere than in a spherical shape, solving the problem of stress concentration and weak areas caused by deformation in a spherical overpressure balloon under bidirectional tension conditions. By summarizing the conditions that the generatrix shape of an overpressure balloon must satisfy in numerical solution based on the generatrix-stress equations, and using qualitative analysis to find circumferential stress constraints applicable to the numerical solution of the generatrix shape of an overpressure balloon under bidirectional tension, shape parameters such as the generatrix shape of the overpressure balloon that fully consider the load and boundary conditions and have a more reasonable stress distribution are obtained. Based on the obtained shape parameters, the shape of the overpressure balloon is designed, and the stress distribution of the resulting overpressure balloon under load conditions is more reasonable.

[0051] Furthermore, the constructed generatrix-stress equations are based on the fully rotationally symmetric generatrix-stress equations of a balloon made solely of thin films, as shown in Equation 1 below:

[0052]

[0053] Where, σ m The meridional stress and σ of the overpressure balloon c Let π be the circumferential stress of the overpressure balloon, r be the radius of the cross-sectional circle at any point along the generatrix of the sphere and perpendicular to the axis of rotation of the sphere, w = ρg, where ρ is the surface density of the spherical membrane of the overpressure balloon and g is the acceleration due to gravity, p be the overpressure of the overpressure balloon, s be the arc length of the generatrix of the overpressure balloon, z be the height of the sphere, A be the surface area of ​​the sphere, and V be the target volume of the overpressure balloon. Parameters such as z, A, and V can be obtained during the design of the tandem aerostat system based on the design requirements of the overpressure balloon.

[0054] Furthermore, in step 300, based on the constructed generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters. Specifically, this also includes:

[0055] Step 301: Using any target plane perpendicular to the rotation axis of the overpressure balloon, cut the overpressure balloon into an upper spherical part and a lower spherical part;

[0056] Step 302: Obtain the planar parameters of the target plane and the attribute parameters of the overpressure balloon; the attribute parameters include the self-weight of the balloon membrane and the membrane surface density; the planar parameters include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon.

[0057] Step 303: Based on the planar parameters and the property parameters of the overpressure balloon, perform a force balance analysis on the lower spherical part according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon.

[0058] When performing force equilibrium analysis on an overpressure balloon, the balloon is first divided into upper and lower spherical parts by any target plane perpendicular to its axis of rotation. Under bidirectional tensile load conditions, the lower spherical part is subjected to force equilibrium analysis to determine the shape parameters of the overpressure balloon. Specifically, the planar parameters of the target plane and the property parameters of the overpressure balloon are obtained. The planar parameters of the target plane include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix at the intersection of the target plane and the generatrix of the overpressure balloon and the axis of rotation of the overpressure balloon. The property parameters of the overpressure balloon include the self-weight and surface density of the membrane. These property parameters can also be obtained from the design parameters of the tandem aerostat system. Based on the obtained property parameters and planar parameters, the lower spherical part of the overpressure balloon is subjected to force equilibrium analysis based on the constructed generatrix-stress equations to determine the shape parameters of the overpressure balloon.

[0059] Furthermore, step 303 may also include:

[0060] Step 3031: Perform a force balance analysis on the lower spherical part, and construct the force balance equation of the lower spherical part based on the self-weight of the membrane of the overpressure balloon.

[0061] Step 3032: Based on the thin film torque theory, construct the stress-radius of curvature equation of the overpressure balloon according to the membrane surface density of the overpressure balloon;

[0062] Step 3033: Determine the meridional stress equation of the overpressure balloon based on the force balance equation and the stress-radius of curvature equation;

[0063] Step 3034: Determine the first radius of curvature of the overpressure balloon based on the generatrix-stress equation set and the stress-radius of curvature equation.

[0064] Step 3035: Based on the preset constraint condition of the first radius of curvature, determine the target constraint condition of the circumferential stress of the overpressure balloon;

[0065] Step 3036: Based on the meridional stress equation and the target constraint conditions, numerically solve the generatrix-stress equation set to obtain the shape parameters of the overpressure balloon.

[0066] For any smoothly rotated overpressure balloon, cut the balloon in half with any plane perpendicular to the axis of rotation, and perform a force balance analysis on the lower spherical part of the balloon. When performing the force balance analysis on the lower spherical part of the overpressure balloon, first construct the force balance equation of the lower spherical part based on the self-weight of the membrane in the obtained attribute parameters, as shown in the following formula 2:

[0067] 2πrσ m cosθ=L+πr 2 P+M h (2)

[0068] In Formula 2, σ m Let r be the meridional stress of the overpressure balloon, r be the radius of the cross-sectional circle, θ be the target angle between the tangent of the generatrix at the intersection of the cross-sectional circle and the generatrix and the rotation axis of the overpressure balloon, L be the load capacity in the external parameters of the overpressure balloon, P be the overpressure of the overpressure balloon, and M be the overpressure amount. h M is the weight of the spherical membrane of the lower spherical part; h It can be obtained based on the overall weight of the membrane of the overpressure balloon.

[0069] Based on the theory of thin films without torque, and considering the weight of the spherical membrane, the stress-radius of curvature equation is constructed as follows:

[0070]

[0071]

[0072]

[0073] Where, σ c R1 is the circumferential stress of the overpressure balloon, R2 is the first radius of curvature of any target point along the generatrix of the overpressure balloon, and z is the height of the cross-sectional circle relative to the bottom of the overpressure balloon; the target point is any point on the generatrix of the overpressure balloon; w = ρg, where ρ is the surface density of the membrane of the overpressure balloon and g is the gravitational acceleration.

[0074] Based on the constructed force balance equation and stress-radius of curvature equation, the meridional stress equation of the overpressure balloon is determined, i.e., by substituting formula (5) into formula (2), we can obtain:

[0075]

[0076] Considering that numerical solutions are approximate, and assuming a solution accuracy of Δr, the qualitative analysis here only considers r. min =Δr case. When R2 is very small near the top and bottom of the ball, if Then stress singularities will occur, and if This avoids stress singularities. Based on the generatrix-stress equations and the stress-radius of curvature equations, the first radius of curvature of the overpressure balloon is determined, which is the correspondence of the parameters in the generatrix-stress equations of formula (1). Substituting into formula (4), we get:

[0077]

[0078] Since R1 is the negative reciprocal of a differential term in the generatrix-stress equations, it is difficult to constrain its magnitude. However, considering that balloons typically use extremely thin, flexible spherical membrane materials that cannot withstand bending and pressure, R1 should always be greater than 0 when the overpressure of the overpressure balloon is positive and approximately uniformly distributed within the sphere. Furthermore, since the tension directions at the top and bottom of the bidirectionally tensioned overpressure balloon are parallel to the axis of rotation, the meridional stress at any position on the balloon membrane is greater than 0. Therefore, in formula (3), σ m >0 must always hold true, and R1>0 must always hold true. For a typical overpressure balloon, the magnitude of the term wsinθ is usually 2-4 orders of magnitude smaller than p, so it can be ignored in qualitative analysis. To meet the above requirements, formula (8) must always hold true:

[0079]

[0080] Therefore, based on the constraint condition of the first radius of curvature R1, the target constraint condition of the circumferential stress of the overpressure balloon can be determined; according to the meridional stress equation and the target constraint condition of the circumferential stress, the shape parameters of the overpressure balloon can be obtained by numerically solving the generatrix-stress equation system.

[0081] Specifically, according to formula (7), It is always true, that is The constant holds true, considering the force balance relationship near the top and bottom of the balloon under bidirectional tensile load conditions:

[0082] 2πrσ m cosθ0=L;2πrσ m cosθ1=L+M (9)

[0083] Where θ0 and θ1 are the angles between the tangent of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the sphere at the bottom and top of the sphere, respectively; that is, the bottom angle and the top angle. It can be seen that the cosθ0 of the generatrix of the overpressure balloon is smallest at the bottom of the sphere, therefore:

[0084]

[0085] According to formula (10), the target constraint condition for the circumferential stress value can be obtained as follows:

[0086]

[0087] n is a positive integer greater than 1; since the constraint conditions reflect certain physical assumptions, optimal selection can be made based on the calculation results. Considering that a perfectly spherical overpressure balloon needs to deform to adapt to the load and boundary conditions under bidirectional tension, stress concentration and weak areas in the spherical membrane are prone to occur. By selecting a reasonable value of n, the shape of the overpressure balloon obtained using the circumferential stress constraint condition has a more reasonable stress distribution under bidirectional tension conditions than that of a perfectly spherical overpressure balloon.

[0088] In this embodiment, a set of generatrix-stress equations is constructed by acquiring the external parameters of the overpressure balloon. Based on the bidirectional tensile load condition, a force balance analysis is performed on the overpressure balloon to determine its shape parameters. Compared to a perfectly spherical overpressure balloon, which needs to adapt to the load and boundary conditions through deformation under bidirectional tensile conditions and is prone to stress concentration and weak areas in the spherical membrane, the shape of the overpressure balloon designed based on these shape parameters fully considers the load capacity and boundary conditions of the overpressure balloon under bidirectional tensile load conditions, making the stress distribution of the sphere more reasonable.

[0089] The shape design device for the overpressure balloon provided by the present invention is described below. The shape design device for the overpressure balloon described below and the shape design method for the overpressure balloon described above can be referred to in correspondence.

[0090] Reference Figure 2 The overpressure balloon shape design device provided in this embodiment of the invention includes:

[0091] The parameter acquisition module 10 is used to acquire the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0092] Equation construction module 20 is used to construct the generatrix-stress equation set of the overpressure balloon based on the external parameters;

[0093] The force analysis module 30 is used to perform force balance analysis on the overpressure balloon according to the generatrix-stress equation set, and determine the shape parameters of the overpressure balloon; the shape parameters include the shape of the generatrix;

[0094] The shape design module 40 is used to design the shape of the overpressure balloon according to the shape parameters.

[0095] In one embodiment, the force analysis module 30 is further configured to:

[0096] Using any target plane perpendicular to the rotation axis of the overpressure balloon, cut the overpressure balloon into an upper spherical part and a lower spherical part;

[0097] Obtain the planar parameters of the target plane and the attribute parameters of the overpressure balloon; the attribute parameters include the self-weight of the balloon membrane and the membrane surface density; the planar parameters include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon.

[0098] Based on the planar parameters and the property parameters of the overpressure balloon, the force balance analysis of the lower spherical part is performed according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon.

[0099] In one embodiment, the force analysis module 30 is further configured to:

[0100] A force balance analysis was performed on the lower spherical part, and the force balance equation of the lower spherical part was constructed based on the self-weight of the membrane of the overpressure balloon.

[0101] Based on the theory of no torque in thin films, the stress-radius of curvature equation of the overpressure balloon is constructed according to the membrane surface density of the overpressure balloon.

[0102] Based on the force balance equation and the stress-radius of curvature equation, the meridional stress equation of the overpressure balloon is determined.

[0103] The first radius of curvature of the overpressure balloon is determined based on the generatrix-stress equation set and the stress-radius of curvature equation.

[0104] Based on the preset constraint condition of the first radius of curvature, the target constraint condition of the circumferential stress of the overpressure balloon is determined.

[0105] Based on the meridional stress equation and the target constraint conditions, the generatrix-stress equations are numerically solved to obtain the shape parameters of the overpressure balloon.

[0106] In one embodiment, the force balance equation is: 2πrσ m cosθ=L+πr 2 P+M h ;

[0107] Where, σ mLet r be the meridional stress of the overpressure balloon, r be the radius of the cross-sectional circle, θ be the target angle, L be the load capacity in the external parameters of the overpressure balloon, P be the overpressure amount of the overpressure balloon, and M be the overpressure of the overpressure balloon. h M is the weight of the spherical membrane of the lower spherical portion; h The weight is determined based on the weight of the membrane of the overpressure balloon.

[0108] In one embodiment, the stress-radius of curvature equation is:

[0109]

[0110] Where, σ c R1 is the circumferential stress of the overpressure balloon, R2 is the first radius of curvature of any target point along the generatrix of the overpressure balloon, and z is the height of the cross-sectional circle relative to the bottom of the overpressure balloon; the target point is any point on the generatrix of the overpressure balloon; w = ρg, where ρ is the surface density of the membrane of the overpressure balloon and g is the gravitational acceleration.

[0111] In one embodiment, the meridional stress equation is:

[0112] In one embodiment, the preset constraint condition for the first radius of curvature is: R1>0; when the overpressure balloon is subjected to bidirectional tension, the tension directions of the top and bottom of the overpressure balloon are parallel to the axis of rotation of the overpressure balloon; the meridional stress σ at any position of the spherical membrane of the overpressure balloon... m >0; The target constraint condition for the circumferential stress of the overpressure balloon is:

[0113]

[0114] n is a positive integer greater than 1; θ0 is the target angle between the tangent of the generatrix of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon when the cross-sectional circle is at the bottom of the overpressure sphere.

[0115] Figure 3 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 3 As shown, the electronic device may include: a processor 310, a communication interface 320, a memory 330, and a communication bus 340, wherein the processor 310, the communication interface 320, and the memory 330 communicate with each other via the communication bus 340. The processor 310 can call logical instructions in the memory 330 to execute a method for designing the shape of an overpressure balloon, the method including:

[0116] Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0117] The generatrix-stress equations of the overpressure balloon are constructed based on the external parameters.

[0118] Based on the aforementioned generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters, including the generatrix shape.

[0119] The shape of the overpressure balloon is designed according to the shape parameters.

[0120] Furthermore, the logical instructions in the aforementioned memory 330 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0121] On the other hand, the present invention also provides a computer program product, the computer program product comprising a computer program that can be stored on a non-transitory computer-readable storage medium, wherein when the computer program is executed by a processor, the computer is able to execute the overpressure balloon shape design method provided by the above methods, the method comprising:

[0122] Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0123] The generatrix-stress equations of the overpressure balloon are constructed based on the external parameters.

[0124] Based on the aforementioned generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters, including the generatrix shape.

[0125] The shape of the overpressure balloon is designed according to the shape parameters.

[0126] In another aspect, the present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the shape design method for the overpressure balloon provided by the methods described above, the method comprising:

[0127] Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure.

[0128] The generatrix-stress equations of the overpressure balloon are constructed based on the external parameters.

[0129] Based on the aforementioned generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters, including the generatrix shape.

[0130] The shape of the overpressure balloon is designed according to the shape parameters.

[0131] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0132] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.

[0133] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for designing the shape of an overpressure balloon, characterized in that, include: Obtain the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure. The generatrix-stress equations of the overpressure balloon are constructed based on the external parameters. Based on the aforementioned generatrix-stress equations, a force balance analysis is performed on the overpressure balloon to determine its shape parameters, including the generatrix shape. The shape of the overpressure balloon is designed according to the shape parameters; The step of performing a force balance analysis on the overpressure balloon based on the generatrix-stress equations to determine the shape parameters of the overpressure balloon includes: Using any target plane perpendicular to the rotation axis of the overpressure balloon, cut the overpressure balloon into an upper spherical part and a lower spherical part; Obtain the planar parameters of the target plane and the attribute parameters of the overpressure balloon; the attribute parameters include the self-weight of the balloon membrane and the membrane surface density; the planar parameters include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon. Based on the planar parameters and the property parameters of the overpressure balloon, the force balance analysis of the lower spherical part is performed according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon; The step of determining the shape parameters of the overpressure balloon by performing a force balance analysis on the lower spherical part based on the planar parameters and the property parameters of the overpressure balloon, according to the generatrix-stress equations, includes: A force balance analysis was performed on the lower spherical part, and the force balance equation of the lower spherical part was constructed based on the self-weight of the membrane of the overpressure balloon. Based on the theory of no torque in thin films, the stress-radius of curvature equation of the overpressure balloon is constructed according to the membrane surface density of the overpressure balloon. Based on the force balance equation and the stress-radius of curvature equation, the meridional stress equation of the overpressure balloon is determined. The first radius of curvature of the overpressure balloon is determined based on the generatrix-stress equation set and the stress-radius of curvature equation. Based on the preset constraint condition of the first radius of curvature, the target constraint condition of the circumferential stress of the overpressure balloon is determined. Based on the meridional stress equation and the target constraint conditions, the generatrix-stress equations are numerically solved to obtain the shape parameters of the overpressure balloon.

2. The method for designing the shape of an overpressure balloon according to claim 1, characterized in that, The force balance equation is: ; in, The meridional stress of the overpressure balloon, The radius of the cross-sectional circle, The included angle of the target, The load capacity is one of the external parameters of the overpressure balloon. The overpressure amount of the overpressure balloon, The weight of the spherical membrane in the lower spherical portion; The weight is determined based on the weight of the membrane of the overpressure balloon.

3. The method for designing the shape of an overpressure balloon according to claim 2, characterized in that, The stress-radius of curvature equation is: ； ； ； in, The circumferential stress of the overpressure balloon, Let the first radius of curvature be the radius of curvature of any target point along the generatrix of the overpressure balloon. Let z be the second radius of curvature along the target point, and z be the height of the cross-sectional circle relative to the bottom of the overpressure balloon; the target point is any point on the generatrix of the overpressure balloon. , The membrane surface density of the overpressure balloon, This is the acceleration due to gravity.

4. The method for designing the shape of an overpressure balloon according to claim 2, characterized in that, The meridional stress equation is: .

5. The method for designing the shape of an overpressure balloon according to claim 1, characterized in that, The preset constraint condition for the first radius of curvature is: When the overpressure balloon is subjected to bidirectional tension, the tension directions at the top and bottom of the balloon are parallel to the axis of rotation. The meridional stress at any position on the diaphragm of the overpressure balloon... The target constraint condition for the circumferential stress of the overpressure balloon is: ； n It is a positive integer greater than 1; When the cross-sectional circle is at the bottom of the overpressure balloon, the point where the cross-sectional circle intersects the generatrix of the overpressure balloon is the target angle between the tangent of the generatrix and the rotation axis of the overpressure balloon.

6. A shape design device for an overpressure balloon, characterized in that, include: The parameter acquisition module is used to acquire the external parameters of the bidirectionally stretched overpressure balloon; the external parameters include the load capacity and the overpressure. An equation construction module is used to construct the generatrix-stress equation set of the overpressure balloon based on the external parameters. The stress analysis module is used to perform stress balance analysis on the overpressure balloon according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon; the shape parameters include the shape of the generatrix. A shape design module is used to design the shape of the overpressure balloon according to the shape parameters. The force analysis module is also used for: Using any target plane perpendicular to the rotation axis of the overpressure balloon, divide the overpressure balloon into an upper spherical portion and a lower spherical portion; obtain the planar parameters of the target plane and the property parameters of the overpressure balloon; the property parameters include the self-weight and surface density of the balloon's membrane; the planar parameters include the radius of the cross-sectional circle of the target plane and the overpressure balloon, and the target angle between the tangent of the generatrix and the rotation axis of the overpressure balloon at the intersection of the cross-sectional circle and the generatrix of the overpressure balloon; based on the planar parameters and the property parameters of the overpressure balloon, perform a force balance analysis on the lower spherical portion according to the generatrix-stress equations to determine the shape parameters of the overpressure balloon. The force analysis module is also used for: A force balance analysis is performed on the lower spherical portion. Based on the self-weight of the membrane of the overpressure balloon, a force balance equation for the lower spherical portion is constructed. Based on the theory of no torque on membranes, and according to the membrane surface density of the overpressure balloon, a stress-radius of curvature equation for the overpressure balloon is constructed. Based on the force balance equation and the stress-radius of curvature equation, the meridional stress equation of the overpressure balloon is determined. Based on the generatrix-stress equation set and the stress-radius of curvature equation, the first radius of curvature of the overpressure balloon is determined. Based on the preset constraint conditions on the first radius of curvature, the target constraint conditions for the circumferential stress of the overpressure balloon are determined. Based on the meridional stress equation and the target constraint conditions, the generatrix-stress equation set is numerically solved to obtain the shape parameters of the overpressure balloon.

7. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the shape design method for the overpressure balloon as described in any one of claims 1 to 5.

8. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, it implements the shape design method for the overpressure balloon as described in any one of claims 1 to 5.

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