Rigidity calculation method, device and equipment of inverted cone type membrane air spring and medium

Abstract

The invention discloses a rigidity calculation method, device and equipment of an inverted cone type membrane air spring and a medium, and relates to the technical field of parameter design, the method comprises the following steps: establishing a first mathematical model between the rigidity of the inverted cone type membrane air spring and each state parameter; determining a conversion relation between each state parameter and each design parameter of the inverted cone type membrane air spring; substituting the conversion relation into the first mathematical model to obtain a second mathematical model between the rigidity and each design parameter; determining each design parameter corresponding to each state parameter; various design parameters are substituted into the second mathematical model, and the rigidity of the inverted cone type membrane air spring is obtained. According to the method, the first mathematical model for calculating the rigidity is converted according to the conversion relation between the state parameters and the design parameters of the inverted-cone membrane type air spring, and then the rigidity of the inverted-cone membrane type air spring is accurately calculated according to the fixed parameters such as the design parameters and the second mathematical model obtained after conversion.

Description

Technical Field

[0001] The present application relates to the field of parameter design technology, and in particular to a stiffness calculation method, device, equipment and medium for an inverted cone membrane air spring. Background Art

[0002] The inverted cone diaphragm air spring is a main type of diaphragm air spring, but there is currently no special calculation solution for the stiffness of the inverted cone diaphragm air spring. The inverted cone diaphragm air spring is an elastic element with superior performance, nonlinear stiffness characteristics, good vibration isolation and vibration reduction performance, and the ability to adjust the vehicle body height through the airbag pressure. It is widely used in the vibration isolation system of automobiles, rail transit, and industrial machinery. In actual engineering applications, the vertical stiffness of the inverted cone diaphragm air spring is often obtained through experimental testing, finite element analysis, equivalent mechanical model and thermodynamic model methods to obtain its force-displacement characteristic curve.

[0003] However, there are still many problems with the current research methods. The experimental test method requires a lot of time and manpower, and can only be used for a specific type of spring, lacking convenience and universality; the finite element method cannot quantitatively analyze the influence of parameters, the workload is large, the cost is high, and it lacks convenience; the "equivalent mechanical model" does not establish a direct connection with the structural parameters of the air spring, which is not conducive to guiding the design of the air spring; there are currently few literatures that combine thermodynamic models with geometric analysis to study the widely used inverted cone diaphragm air spring. In addition, in the existing modeling methods, the tensile deformation of the inverted cone diaphragm air spring under the action of the internal high-pressure gas is ignored. At the same time, most of the initial state parameters of the inverted cone diaphragm air spring are obtained by establishing a finite element model, and a complete analytical calculation has not been achieved. Summary of the invention

[0004] The main purpose of the embodiments of the present application is to propose a stiffness calculation method, device, equipment and medium for an inverted cone diaphragm air spring, so as to accurately calculate the stiffness of an inverted cone diaphragm air spring.

[0005] To achieve the above object, one aspect of an embodiment of the present application provides a method for calculating the stiffness of an inverted cone type membrane air spring, the method comprising the following steps:

[0006] Establishing the first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters;

[0007] Determining the conversion relationship between each of the state parameters and each of the design parameters of the inverted cone type membrane air spring;

[0008] Substituting the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters;

[0009] Determine each of the design parameters corresponding to each of the state parameters;

[0010] Substituting each of the design parameters into the second mathematical model, the stiffness of the inverted cone membrane air spring is obtained.

[0011] In some embodiments, the step of establishing a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters comprises the following steps:

[0012] Establishing the first mathematical model between the stiffness of the inverted cone type diaphragm air spring and each of the state parameters according to the changing relationship between the external force and displacement of the upper cover plate of the inverted cone type diaphragm air spring;

[0013] The expression of the first mathematical model is:

[0014]

[0015] Wherein, C is the stiffness of the inverted cone type membrane air spring; F is the external force on the upper cover plate, and x is the displacement; γ is 1, indicating that the thermodynamic process of the air inside the inverted cone type membrane air spring is an isothermal process under the quasi-static tension and compression conditions of the polytropic index; P i , P a S are respectively the internal air pressure of the inverted cone membrane air spring and the external atmospheric pressure; w ,V, They are respectively the effective area, effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement of the inverted cone membrane air spring.

[0016] In some embodiments, the determining of the conversion relationship between each state parameter and each design parameter of the inverted cone membrane air spring comprises the following steps:

[0017] A force balance equation is obtained by performing radial tensile force analysis on the airbag of the inverted cone membrane air spring;

[0018] Performing geometric analysis on the airbag to obtain a geometric equation;

[0019] The conversion relationship between the state parameter and the design parameter is determined according to the force balance equation and the geometric equation.

[0020] In some embodiments, the determining of each of the design parameters corresponding to each of the state parameters comprises the following steps:

[0021] Determining the effective area and effective volume of the inverted cone membrane air spring and the rate of change of the effective area with displacement and the rate of change of the effective volume with displacement;

[0022] Establishing a first mathematical relationship between the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement and each of the state parameters;

[0023] Establishing a second mathematical relationship between the internal air pressure of the inverted cone membrane air spring and the radial tensile deformation of the airbag;

[0024] Substituting the second mathematical relationship into the first mathematical relationship, to obtain a third mathematical relationship among the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement, and each of the design parameters;

[0025] The effective area, the effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement are substituted into the third mathematical relationship to obtain each of the design parameters.

[0026] In some embodiments, determining the effective area of ​​the inverted cone type membrane air spring comprises the following steps:

[0027] According to the working principle of the inverted cone type membrane air spring, the inverted cone type membrane air spring is analyzed, and then the relationship between the effective area and the state parameter is obtained as follows:

[0028] S w =πr e 2 ;

[0029] Among them, S w is the effective area, r e is the distance from the separation position of the airbag and the upper cover to the symmetry axis;

[0030] Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps:

[0031] The relationship between the rate of change of the effective area with displacement and the state parameter is determined as follows:

[0032]

[0033] in, is the rate of change of the distance from the separation position of the airbag and the upper cover to the symmetry axis; is the rate of change of the effective area with displacement.

[0034] In some embodiments, determining the effective volume of the inverted cone type rolling membrane air spring comprises the following steps:

[0035] Decomposing the inner cavity volume of the inverted cone membrane air spring into a plurality of target shape regions;

[0036] The relationship between the effective volume and the state parameter is determined according to the area of ​​each target shape:

[0037] V=V a +V b +V c -V d -V e -V f ;

[0038] Wherein, V is the effective volume; V a V is the outer volume enclosed by the upper part of the airbag; b V is the outer volume enclosed by the middle of the airbag; c V is the outer volume enclosed by the lower part of the airbag; d is the inner volume enclosed by the top of the piston, V e V is the inner volume enclosed by the middle of the piston; f It is the inner volume enclosed by the lower part of the airbag;

[0039] Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps:

[0040] The relationship for determining the rate of change of the effective volume with displacement is:

[0041]

[0042] Here, x is the displacement.

[0043] In some embodiments, substituting each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring comprises the following steps:

[0044] Substituting the airbag cord angle and Young's modulus into the second mathematical model, the static stiffness of the inverted cone membrane air spring is obtained.

[0045] To achieve the above object, another aspect of the embodiment of the present application provides a stiffness calculation device for an inverted cone type membrane air spring, the device comprising:

[0046] A model building unit, used to build a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters;

[0047] A conversion relationship determination unit, used to determine the conversion relationship between each of the state parameters and each of the design parameters of the inverted cone type membrane air spring;

[0048] A model conversion unit, used for substituting the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters;

[0049] A design parameter determination unit, used to determine each of the design parameters corresponding to each of the state parameters;

[0050] A stiffness calculation unit is used to substitute each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring.

[0051] To achieve the above objective, another aspect of an embodiment of the present application provides an electronic device, the electronic device comprising a memory and a processor, the memory storing a computer program, and the processor implementing the above method when executing the computer program.

[0052] To achieve the above objective, another aspect of an embodiment of the present application provides a computer-readable storage medium, wherein the computer-readable storage medium stores a computer program, and the computer program implements the above method when executed by a processor.

[0053] The embodiments of the present application include at least the following beneficial effects:

[0054] The present application can establish a first mathematical model between the stiffness of an inverted cone diaphragm air spring and various state parameters; determine the conversion relationship between various state parameters and various design parameters of the inverted cone diaphragm air spring; substitute the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and various design parameters; determine various design parameters corresponding to various state parameters; substitute various design parameters into the second mathematical model to obtain the stiffness of the inverted cone diaphragm air spring. The present application converts the first mathematical model for calculating the stiffness of an inverted cone diaphragm air spring through the conversion relationship between the state parameters and design parameters of an inverted cone diaphragm air spring, and then accurately calculates the stiffness of an inverted cone diaphragm air spring through fixed parameters such as design parameters and the second mathematical model obtained after the conversion. BRIEF DESCRIPTION OF THE DRAWINGS

[0055] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings required for use in the description of the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without creative work.

[0056] Figure 1 A schematic flow chart of a method for calculating the stiffness of an inverted cone-type membrane air spring provided in an embodiment of the present application;

[0057] Figure 2 A flow chart for calculating the static stiffness of an inverted cone membrane air spring applicable to different cord angles provided in an embodiment of the present application;

[0058] Figure 3 An exemplary diagram of an inverted cone-type membrane air spring provided in an embodiment of the present application;

[0059] Figure 4 An exploded example diagram of the inner cavity volume of an inverted cone-shaped membrane air spring provided in an embodiment of the present application;

[0060] Figure 5 A simplified model schematic diagram of an inverted cone-type membrane air spring provided in an embodiment of the present application;

[0061] Figure 6 An example diagram of the calculation results of the static stiffness of the membrane air spring provided in the embodiment of the present application;

[0062] Figure 7 A schematic diagram of the structure of a stiffness calculation device for an inverted cone-type membrane air spring provided in an embodiment of the present application;

[0063] Figure 8 A schematic diagram of the hardware structure of an electronic device provided in an embodiment of the present application. DETAILED DESCRIPTION

[0064] In order to make the purpose, technical solutions and advantages of the present application clearer, the present application is further described in detail below in conjunction with the accompanying drawings and examples. It should be understood that the specific embodiments described herein are only used to explain the present application and are not intended to limit the present application. When the following description refers to the drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the embodiments of the present application. They are only examples of devices and methods consistent with some aspects of the embodiments of the present application as detailed in the attached claims.

[0065] It is understood that the terms "first", "second", etc. used in this application can be used to describe various concepts in this article, but unless otherwise specified, these concepts are not limited by these terms. These terms are only used to distinguish one concept from another concept. For example, without departing from the scope of the embodiment of the present application, the first information may also be referred to as the second information, and similarly, the second information may also be referred to as the first information. Depending on the context, the words "if" and "if" as used herein can be interpreted as "at the time of" or "when" or "in response to determination".

[0066] The terms "at least one", "multiple", "each", "any", etc. used in this application, at least one includes one, two or more, multiple includes two or more, each refers to each of the corresponding multiple, and any refers to any one of the multiple.

[0067] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as those commonly understood by those skilled in the art to which this application belongs. The terms used herein are only for the purpose of describing the embodiments of this application and are not intended to limit this application.

[0068] The embodiments of the present application provide a stiffness calculation method, device, equipment and medium for an inverted cone type diaphragm air spring, and relate to the field of parameter design technology. The stiffness calculation method, device, equipment and medium for an inverted cone type diaphragm air spring provided in the embodiments of the present application can be applied to a terminal, can be applied to a server, or can be software running in a terminal or a server. In some embodiments, the terminal can be a smart phone, a tablet computer, a laptop computer, a desktop computer, a smart speaker, a smart watch, and a vehicle-mounted terminal, etc., but is not limited thereto; the server side can be configured as an independent physical server, or as a server cluster or distributed system composed of multiple physical servers, and can also be configured as a cloud server that provides basic cloud computing services such as cloud services, cloud databases, cloud computing, cloud functions, cloud storage, network services, cloud communications, middleware services, domain name services, security services, CDN, and big data and artificial intelligence platforms. The server can also be a node server in a blockchain network; the software can be an application that implements a knowledge extraction method, etc., but is not limited to the above forms.

[0069] The present application can be used in many general or special computer system environments or configurations. For example: personal computers, server computers, handheld or portable devices, tablet devices, multiprocessor systems, microprocessor-based systems, set-top boxes, programmable consumer electronics, network PCs, minicomputers, mainframe computers, distributed computing environments including any of the above systems or devices, etc. The present application can be described in the general context of computer-executable instructions executed by a computer, such as program modules. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform specific tasks or implement specific abstract data types. The present application can also be practiced in distributed computing environments, in which tasks are performed by remote processing devices connected through a communication network. In a distributed computing environment, program modules can be located in local and remote computer storage media including storage devices.

[0070] Reference Figure 1 The present application embodiment provides a method for calculating the stiffness of an inverted cone type membrane air spring. The method may include but is not limited to steps S100 to S140, which are as follows:

[0071] S100: Establishing a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters.

[0072] Further, S100 may include S101:

[0073] S101: establishing the first mathematical model between the stiffness of the inverted cone type diaphragm air spring and each of the state parameters according to the relationship between the external force and displacement of the upper cover plate of the inverted cone type diaphragm air spring;

[0074] The expression of the first mathematical model is:

[0075]

[0076] Wherein, C is the stiffness of the inverted cone type membrane air spring; F is the external force on the upper cover plate, and x is the displacement; γ is 1, indicating that the thermodynamic process of the air inside the inverted cone type membrane air spring is an isothermal process under the quasi-static tension and compression conditions of the polytropic index; P i , P a S are respectively the internal air pressure of the inverted cone membrane air spring and the external atmospheric pressure; w ,V, They are respectively the effective area, effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement of the inverted cone membrane air spring.

[0077] S110: Determine the conversion relationship between each state parameter and each design parameter of the inverted cone membrane air spring.

[0078] Furthermore, S110 may include S111 to S113:

[0079] S111: Performing radial tensile force analysis on the airbag of the inverted cone membrane air spring to obtain a force balance equation;

[0080] S112: Performing geometric analysis on the airbag to obtain a geometric equation;

[0081] S113: Determine the conversion relationship between the state parameter and the design parameter according to the force balance equation and the geometric equation.

[0082] S120: Substitute the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters.

[0083] S130: Determine each of the design parameters corresponding to each of the state parameters.

[0084] Further, S130 may include:

[0085] S131: Determine the effective area and effective volume of the inverted cone membrane air spring and the rate of change of the effective area with displacement and the rate of change of the effective volume with displacement;

[0086] S132: establishing a first mathematical relationship between the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement and each of the state parameters;

[0087] S133: establishing a second mathematical relationship between the internal air pressure of the inverted cone membrane air spring and the radial tensile deformation of the airbag;

[0088] S133: Substituting the second mathematical relationship into the first mathematical relationship to obtain a third mathematical relationship among the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement, and each of the design parameters;

[0089] S134: Substitute the effective area, the effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement into the third mathematical relationship to obtain each of the design parameters.

[0090] As a further implementation, the step of determining the effective area and the rate of change of the effective area with the displacement in S131 may include:

[0091] According to the working principle of the inverted cone type membrane air spring, the inverted cone type membrane air spring is analyzed, and then the relationship between the effective area and the state parameter is obtained as follows:

[0092] S w =πr e 2 ;

[0093] Among them, S w is the effective area, r e is the distance from the separation position of the airbag and the upper cover to the symmetry axis;

[0094] Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps:

[0095] The relationship between the rate of change of the effective area with displacement and the state parameter is determined as follows:

[0096]

[0097] in, is the rate of change of the distance from the separation position of the airbag and the upper cover to the symmetry axis; is the rate of change of the effective area with displacement.

[0098] As another further implementation, the step of determining the effective volume and the rate of change of the effective volume with displacement in S131 may include:

[0099] Decomposing the inner cavity volume of the inverted cone membrane air spring into a plurality of target shape regions;

[0100] The relationship between the effective volume and the state parameter is determined according to the area of ​​each target shape:

[0101] V=V a +V b +V c -V d -V e -V f ;

[0102] Wherein, V is the effective volume; V a V is the outer volume enclosed by the upper part of the airbag; b V is the outer volume enclosed by the middle of the airbag; c V is the outer volume enclosed by the lower part of the airbag; d is the inner volume enclosed by the top of the piston, V e V is the inner volume enclosed by the middle of the piston; f It is the inner volume enclosed by the lower part of the airbag;

[0103] Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps:

[0104] The relationship for determining the rate of change of the effective volume with displacement is:

[0105]

[0106] Here, x is the displacement.

[0107] S140: Substitute each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring.

[0108] Further, S140 may include S141:

[0109] S141: Substitute the airbag cord angle and Young's modulus into the second mathematical model to obtain the static stiffness of the inverted cone membrane air spring.

[0110] Next, the solution of the embodiment of the present application will be introduced and explained in detail with reference to specific application examples.

[0111] Since there is currently no calculation model that introduces designable parameters such as the airbag cord angle and Young's modulus into the vertical stiffness, the calculation results of the static stiffness of the inverted cone membrane air spring are not accurate.

[0112] This embodiment aims to propose a method for calculating the vertical stiffness of an inverted cone membrane air spring that can reasonably describe the cone surface characteristics of the air spring piston, consider the deformation of the airbag, and introduce design parameters such as the airbag cord angle and Young's modulus.

[0113] This embodiment establishes a general calculation method for the static stiffness of an inverted cone type membrane air spring based on the methods of geometric analysis and mechanical analysis. Based on the principle of thermodynamics, a static stiffness model of an inverted cone type membrane air spring is established; the functional expression of the state parameters in the stiffness model is obtained through geometric analysis and mechanical analysis; the geometric equation of the air spring airbag and the force balance equation are obtained, and the conversion relationship between the state parameters and the design parameters can be obtained by combining them; the conversion relationship is substituted into the model through the functional relationship, and the functional relationship between the static stiffness of the inverted cone type membrane air spring and the design parameters can be established, and then the force displacement characteristics of the inverted cone type membrane air spring can be obtained.

[0114] Compared with the finite element analysis method used in the prior art, the method for calculating the static stiffness of the inverted cone membrane air spring provided in this embodiment is fast and efficient, has high accuracy, and is simple in process, thus greatly saving the production cost of the air spring.

[0115] Reference Figure 2 , Figure 2 The figure is a flow chart for calculating the static stiffness of an inverted cone membrane air spring suitable for different cord angles.

[0116] Specifically, this embodiment provides a method for calculating the static stiffness of an inverted cone type membrane air spring, the method comprising the following steps:

[0117] Step (1), establish an inverted cone type membrane air spring (an example of an inverted cone type membrane air spring is as follows Figure 3 The mathematical model of static stiffness and state parameters of the inverted cone membrane air spring is established based on the thermodynamic principle:

[0118]

[0119] Where C is the static stiffness of the inverted cone membrane air spring, γ is the polytropic index. Under quasi-static tension and compression conditions, the thermodynamic process of the air inside the inverted cone membrane air spring can be regarded as an isothermal process, and γ is taken as 1 at this time; P i , P a S are the internal air pressure of the inverted cone membrane air spring and the external atmospheric pressure respectively; w ,V, They are the effective area, volume and their rate of change with displacement of the inverted cone membrane air spring.

[0120] Step (2), obtaining the effective area, effective volume and corresponding change rate of the inverted cone membrane air spring:

[0121] The effective area of ​​the inverted cone diaphragm air spring is an abstract equivalent concept. The effective area represents the pressure of the inverted cone diaphragm air spring under the internal air pressure P. 1 The size of the bearing capacity F under action.

[0122] According to the working principle of the inverted cone type membrane air spring, the force analysis of the inverted cone type membrane air spring is carried out, and the relationship between the external force F on the upper cover plate and the design parameters is obtained:

[0123] F=πr e 2 (P 1 -P a ) (2)

[0124] Where F is the vertical force of the inverted cone membrane air spring, r e is the distance between the separation position of the airbag and the upper cover and the symmetry axis, P 1 , P a They are the internal air pressure of the inverted cone membrane air spring and the external air pressure of the air spring.

[0125] Therefore, the effective area S of the inverted cone membrane air spring is w The expression of is shown as follows;

[0126] S w =πr e 2 (3)

[0127] Where r e It is the distance between the separation position of the airbag and the upper cover and the symmetry axis.

[0128] Taking the derivative of the effective area with respect to the vertical displacement, the expression of the effective area change rate can be obtained as follows:

[0129]

[0130] In the formula is the change rate of the distance between the separation position of the airbag and the upper cover and the symmetry axis, It is the effective area change rate of the inverted cone membrane air spring.

[0131] Among them, the effective area and its rate of change with displacement calculated by equations (3) and (4) are the state parameter vector X and its derivative function.

[0132] The inner cavity volume of the inverted cone diaphragm air spring reflects the internal air pressure P of the inverted cone diaphragm air spring. 1 The expansion deformation characteristics of the airbag under the action of. From formula (1), it can be seen that the rate of change of volume with displacement reflects the change of the internal air pressure of the inverted cone membrane air spring with displacement. Figure 4 As shown, the inner cavity volume of the inverted cone type membrane air spring is decomposed into several target shapes that are easy to calculate, and the total volume of the air chamber of the inverted cone type membrane air spring can be obtained. The calculation formula is as follows:

[0133] V=V a +V b +V c -V d -V e -V f (5)

[0134] Among them, V a is the outer volume enclosed by the upper part of the airbag, V b is the outer volume enclosed by the middle of the airbag, V c is the outer volume enclosed by the lower part of the airbag, V d is the inner volume enclosed by the top of the piston, V e is the inner volume enclosed by the middle of the piston, V f It is the inner volume enclosed by the lower part of the airbag.

[0135] According to the above formula, the effective volume is differentiated with respect to displacement to obtain the effective volume change rate:

[0136]

[0137] Among them, the volume and its rate of change with displacement calculated by equations (5) and (6) are the state parameter vector X and its derivative function.

[0138] Step (3) establishes the relationship between the internal air pressure of the inverted cone diaphragm air spring and the radial tensile deformation of the airbag, introduces the airbag deformation of the inverted cone diaphragm air spring into the calculation model of the inverted cone diaphragm air spring performance, and prepares for the conversion of state parameters to design parameters.

[0139] The airbag of the inverted cone membrane air spring is composed of a cord layer that mainly bears the load and inner and outer rubber layers that seal. Its Young's modulus E is mainly determined by the angle, number and material of the cord. In the radial direction of the airbag, the Young's modulus can be obtained by adding the equivalent modulus of the cord in this direction to the rubber modulus at a certain volume fraction.

[0140] Step (4), based on the above derivation, the vertical stiffness calculation model of the inverted cone type membrane air spring is based on the state parameter vector and its derivative with respect to the displacement x as variables. Since the state parameter changes with working conditions such as working height, it is not conducive to design and optimization. Therefore, it is necessary to convert the changing state parameter and its derivative into the design parameter in the vector, and then express the vertical stiffness calculation model of the inverted cone type membrane air spring as a functional relationship of the design parameter.

[0141] Reference Figure 5 , establish the plane coordinate system XOY with the inverted cone type membrane air spring in a static state, mark the end points of the upper and lower covers of the inverted cone type membrane air spring (O and O h ), several reflect the inverted cone membrane air spring profile and its geometric center O i (i=1, 2, 3, 4), N (i= 1, 2, 3, 4, 5), B i (i=1, 2) is a key feature point, and the coordinates of each feature point on the plane coordinate system XOY are obtained.

[0142] Denote the state parameter vector X = [r 1 , r 2 , r 3 , α 1 , α 2 , α 3 , a, l] T , design parameter vector C = [h 1 ,h 2 ,h 3 ,h 4 , b 1 , b 2 , S 0 , H] T . Among them r 1 is the arc radius of the upper part of the airbag, r 2 is the arc radius of the middle part of the airbag, r 3 is the arc radius of the lower part of the airbag, α 1 is the arc angle of the upper part of the airbag, α 2 is the arc angle between the middle of the airbag and the horizontal line, α 3 is the arc angle of the lower part of the airbag, α is the distance between the separation position of the airbag and the upper cover and the symmetry axis, l is the distance between the arc centers of the upper and lower parts of the airbag, and h 1 is the thickness of the upper cover plate, h 2 is the height of the piston top, h 3 is the height of the middle of the piston, h 4 is the height of the piston bottom, b 1 is the piston top radius, b 2 is the piston bottom radius, S 0 is the initial radial length of the airbag, and H is the working height of the air spring.

[0143] The force balance equation is obtained by radial tensile force analysis of the airbag part of the inverted cone type membrane air spring; the geometric equation is obtained by geometric analysis of the airbag; by combining the force balance equation and the geometric equation of the airbag of the inverted cone type membrane air spring, the conversion relationship between the state parameters and the design parameters of the inverted cone type membrane air spring can be analyzed;

[0144] Step (5), substituting the result of step (3) into the relationship of step (2), the functional relationship between the effective area, effective volume and its change rate of the inverted cone membrane air spring and the design parameters can be obtained.

[0145] Step (6), substituting the result of step (4) into the mathematical model of step (1), and calculating the static stiffness of the inverted cone membrane air spring related to the designable parameters such as the airbag cord angle and Young's modulus.

[0146] The force displacement characteristic curve of the inverted cone membrane air spring with a cord angle of 35° is plotted, as shown in Figure 6 As shown, and compared with the experimental test results, Figure 6 It is shown that the static stiffness calculation method of the diaphragm air spring proposed in this embodiment can better describe the load-displacement characteristics of the inverted cone diaphragm air spring under different working pressures, and is consistent with the experimental values, and has good applicability to diaphragm air springs with different cord angles.

[0147] Reference Figure 7 The embodiment of the present application further provides a stiffness calculation device for an inverted cone type diaphragm air spring, which can implement the stiffness calculation method for the inverted cone type diaphragm air spring described above, and the device comprises:

[0148] A model building unit, used to build a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters;

[0149] A conversion relationship determination unit, used to determine the conversion relationship between each of the state parameters and each of the design parameters of the inverted cone type membrane air spring;

[0150] A model conversion unit, used for substituting the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters;

[0151] A design parameter determination unit, used to determine each of the design parameters corresponding to each of the state parameters;

[0152] A stiffness calculation unit is used to substitute each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring.

[0153] It can be understood that the contents of the above method embodiments are all applicable to the present device embodiments, the functions specifically implemented by the present device embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0154] The embodiment of the present application also provides an electronic device, the electronic device includes a memory and a processor, the memory stores a computer program, and the processor implements the stiffness calculation method of the inverted cone type membrane air spring when executing the computer program. The electronic device can be any smart terminal including a tablet computer, a car computer, etc.

[0155] It can be understood that the contents of the above method embodiments are all applicable to the present device embodiments, the functions specifically implemented by the present device embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0156] See also Figure 8 , Figure 8 The hardware structure of an electronic device of another embodiment is illustrated, and the electronic device includes:

[0157] The processor 801 may be implemented by a general-purpose CPU (Central Processing Unit), a microprocessor, an application-specific integrated circuit (ASIC), or one or more integrated circuits, and is used to execute relevant programs to implement the technical solutions provided in the embodiments of the present application;

[0158] The memory 802 can be implemented in the form of a read-only memory (ROM), a static storage device, a dynamic storage device, or a random access memory (RAM). The memory 802 can store an operating system and other application programs. When the technical solution provided in the embodiment of this specification is implemented by software or firmware, the relevant program code is stored in the memory 802, and the processor 801 calls and executes the stiffness calculation method of the inverted cone type membrane air spring in the embodiment of this application;

[0159] Input / output interface 803, used to implement information input and output;

[0160] The communication interface 804 is used to realize the communication interaction between the device and other devices. The communication can be realized through a wired manner (such as USB, network cable, etc.) or a wireless manner (such as mobile network, WIFI, Bluetooth, etc.);

[0161] A bus 805 that transmits information between the various components of the device (e.g., the processor 801, the memory 802, the input / output interface 803, and the communication interface 804);

[0162] The processor 801 , the memory 802 , the input / output interface 803 and the communication interface 804 are connected to each other in communication within the device via a bus 805 .

[0163] An embodiment of the present application further provides a computer-readable storage medium, which stores a computer program. When the computer program is executed by a processor, the stiffness calculation method of the inverted cone diaphragm air spring is implemented.

[0164] It can be understood that the contents of the above method embodiments are all applicable to the present storage medium embodiments, the functions specifically implemented by the present storage medium embodiments are the same as those of the above method embodiments, and the beneficial effects achieved are also the same as those achieved by the above method embodiments.

[0165] The memory, as a non-transient computer-readable storage medium, can be used to store non-transient software programs and non-transient computer executable programs. In addition, the memory may include a high-speed random access memory, and may also include a non-transient memory, such as at least one disk storage device, a flash memory device, or other non-transient solid-state storage device. In some embodiments, the memory may optionally include a memory remotely disposed relative to the processor, and these remote memories may be connected to the processor via a network. Examples of the above-mentioned network include, but are not limited to, the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.

[0166] The embodiments described in the embodiments of the present application are intended to more clearly illustrate the technical solutions of the embodiments of the present application and do not constitute a limitation on the technical solutions provided in the embodiments of the present application. Those skilled in the art will appreciate that with the evolution of technology and the emergence of new application scenarios, the technical solutions provided in the embodiments of the present application are also applicable to similar technical problems.

[0167] Those skilled in the art will appreciate that the technical solutions shown in the figures do not constitute a limitation on the embodiments of the present application, and may include more or fewer steps than shown in the figures, or a combination of certain steps, or different steps.

[0168] The device embodiments described above are merely illustrative, and the units described as separate components may or may not be physically separated, that is, they may be located in one place or distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0169] Those skilled in the art will appreciate that all or some of the steps in the methods disclosed above, and the functional modules / units in the systems and devices may be implemented as software, firmware, hardware, or a suitable combination thereof.

[0170] The terms "first", "second", "third", "fourth", etc. (if any) in the specification of the present application and the above-mentioned drawings are used to distinguish similar objects, and are not necessarily used to describe a specific order or sequence. It should be understood that the data used in this way can be interchangeable where appropriate, so that the embodiments of the present application described herein can be implemented in an order other than those illustrated or described herein. In addition, the terms "including" and "having" and any of their variations are intended to cover non-exclusive inclusions, for example, a process, method, system, product or device comprising a series of steps or units is not necessarily limited to those steps or units clearly listed, but may include other steps or units that are not clearly listed or inherent to these processes, methods, products or devices.

[0171] It should be understood that in the present application, "at least one (item)" means one or more, and "plurality" means two or more. "And / or" is used to describe the association relationship of associated objects, indicating that three relationships may exist. For example, "A and / or B" can mean: only A exists, only B exists, and A and B exist at the same time, where A and B can be singular or plural. The character " / " generally indicates that the objects associated before and after are in an "or" relationship. "At least one of the following" or similar expressions refers to any combination of these items, including any combination of single or plural items. For example, at least one of a, b or c can mean: a, b, c, "a and b", "a and c", "b and c", or "a and b and c", where a, b, c can be single or multiple.

[0172] In the several embodiments provided in the present application, it should be understood that the disclosed devices and methods can be implemented in other ways. For example, the device embodiments described above are only schematic. For example, the division of the above units is only a logical function division. There may be other division methods in actual implementation, such as multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of devices or units, which can be electrical, mechanical or other forms.

[0173] The units described above as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0174] In addition, each functional unit in each embodiment of the present application may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.

[0175] If the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present application, or the part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including multiple instructions to enable a computer device (which can be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods of various embodiments of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (Read-Only Memory, referred to as ROM), random access memory (Random Access Memory, referred to as RAM), disk or optical disk and other media that can store programs.

[0176] The preferred embodiments of the present invention are described above with reference to the accompanying drawings, but the scope of the rights of the present invention is not limited thereto. Any modification, equivalent substitution and improvement made by a person skilled in the art without departing from the scope and essence of the present invention should be within the scope of the rights of the present invention.

Claims

1. The stiffness calculation method of the inverted cone type membrane air spring is characterized in that: The method comprises the following steps: Establishing the first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters; Determining the conversion relationship between each of the state parameters and each of the design parameters of the inverted cone type membrane air spring; Substituting the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters; Determine each of the design parameters corresponding to each of the state parameters; Substituting each of the design parameters into the second mathematical model, the stiffness of the inverted cone membrane air spring is obtained.

2. The stiffness calculation method of the inverted cone type membrane air spring according to claim 1, characterized in that: The step of establishing a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters comprises the following steps: Establishing the first mathematical model between the stiffness of the inverted cone type diaphragm air spring and each of the state parameters according to the changing relationship between the external force and displacement of the upper cover plate of the inverted cone type diaphragm air spring; The expression of the first mathematical model is: Wherein, C is the stiffness of the inverted cone type membrane air spring; F is the external force on the upper cover plate, and x is the displacement; γ is 1, indicating that the thermodynamic process of the air inside the inverted cone type membrane air spring is an isothermal process under the quasi-static tension and compression conditions of the polytropic index; P i , P a S are respectively the internal air pressure of the inverted cone membrane air spring and the external atmospheric pressure; w ,V, They are respectively the effective area, effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement of the inverted cone membrane air spring.

3. The stiffness calculation method of the inverted cone type membrane air spring according to claim 1, characterized in that: The step of determining the conversion relationship between each state parameter and each design parameter of the inverted cone type membrane air spring comprises the following steps: A force balance equation is obtained by performing radial tensile force analysis on the airbag of the inverted cone membrane air spring; Performing geometric analysis on the airbag to obtain a geometric equation; The conversion relationship between the state parameter and the design parameter is determined according to the force balance equation and the geometric equation.

4. The stiffness calculation method of the inverted cone type membrane air spring according to claim 1, characterized in that: The step of determining each of the design parameters corresponding to each of the state parameters comprises the following steps: Determining the effective area and effective volume of the inverted cone membrane air spring and the rate of change of the effective area with displacement and the rate of change of the effective volume with displacement; Establishing a first mathematical relationship between the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement and each of the state parameters; Establishing a second mathematical relationship between the internal air pressure of the inverted cone membrane air spring and the radial tensile deformation of the airbag; Substituting the second mathematical relationship into the first mathematical relationship, to obtain a third mathematical relationship among the effective area, the effective volume, the rate of change of the effective area with displacement, the rate of change of the effective volume with displacement, and each of the design parameters; The effective area, the effective volume, the rate of change of the effective area with displacement, and the rate of change of the effective volume with displacement are substituted into the third mathematical relationship to obtain each of the design parameters.

5. The stiffness calculation method of the inverted cone type membrane air spring according to claim 4, characterized in that: Determining the effective area of ​​the inverted cone type membrane air spring comprises the following steps: According to the working principle of the inverted cone type membrane air spring, the inverted cone type membrane air spring is analyzed, and then the relationship between the effective area and the state parameter is obtained as follows: S w ＝πr e 2 ； Among them, S w is the effective area, r e is the distance from the separation position of the airbag and the upper cover to the symmetry axis; Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps: The relationship between the rate of change of the effective area with displacement and the state parameter is determined as follows: in, is the rate of change of the distance from the separation position of the airbag and the upper cover to the symmetry axis; is the rate of change of the effective area with displacement.

6. The method for calculating the stiffness of the inverted cone type membrane air spring according to claim 4, characterized in that: Determining the effective volume of the inverted cone type membrane air spring comprises the following steps: Decomposing the inner cavity volume of the inverted cone membrane air spring into a plurality of target shape regions; The relationship between the effective volume and the state parameter is determined according to the area of ​​each target shape: V=V a +V b +V c -V d -V e -V f ; Wherein, V is the effective volume; V a V is the outer volume enclosed by the upper part of the airbag; b V is the outer volume enclosed by the middle of the airbag; c V is the outer volume enclosed by the lower part of the airbag; d is the inner volume enclosed by the top of the piston, V e V is the inner volume enclosed by the middle of the piston; f It is the inner volume enclosed by the lower part of the airbag; Determining the rate of change of the effective volume of the inverted cone membrane air spring with displacement comprises the following steps: The relationship for determining the rate of change of the effective volume with displacement is: Here, x is the displacement.

7. The stiffness calculation method of the inverted cone type membrane air spring according to any one of claims 1 to 6, characterized in that: Substituting each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring comprises the following steps: Substituting the airbag cord angle and Young's modulus into the second mathematical model, the static stiffness of the inverted cone membrane air spring is obtained.

8. A stiffness calculation device for an inverted cone type membrane air spring, characterized in that: The device comprises: A model building unit, used to build a first mathematical model between the stiffness of the inverted cone membrane air spring and various state parameters; A conversion relationship determination unit, used to determine the conversion relationship between each of the state parameters and each of the design parameters of the inverted cone type membrane air spring; A model conversion unit, used for substituting the conversion relationship into the first mathematical model to obtain a second mathematical model between the stiffness and each of the design parameters; A design parameter determination unit, used to determine each of the design parameters corresponding to each of the state parameters; A stiffness calculation unit is used to substitute each of the design parameters into the second mathematical model to obtain the stiffness of the inverted cone membrane air spring.

9. An electronic device, characterized in that: The electronic device comprises a memory and a processor, the memory stores a computer program, and the processor implements the method according to any one of claims 1 to 7 when executing the computer program.

10. A computer-readable storage medium storing a computer program, characterized in that: When the computer program is executed by a processor, the method according to any one of claims 1 to 7 is implemented.

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