CN110619156A - High-precision mathematical model modeling method for dynamic characteristics of oil-gas suspension - Google Patents
High-precision mathematical model modeling method for dynamic characteristics of oil-gas suspension Download PDFInfo
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Abstract
The invention discloses a high-precision mathematical modeling method for the dynamic characteristics of an oil-gas suspension, which considers the influences of the suspension temperature T, the oil viscosity U, the gas dissolution rate D and the suspension vibration speed V on the dynamic characteristics of the oil-gas suspension individually and mutually. Firstly, determining the change interval of each factor, and then designing a simulation experiment sample point by adopting a Latin hypercube experiment design method. And (4) carrying out simulation according to the working conditions of each group of sample points to obtain a series of system response values under different T, U, D, V level combinations. And fitting the data obtained by the simulation tests by adopting the approximation of a quadratic polynomial simulation actual function of the response surface to obtain an accurate mathematical model of the damping and rigidity characteristics of the oil-gas suspension, which considers the influences of temperature, oil viscosity, gas dissolution rate and suspension vibration speed.
Description
Technical Field
The invention belongs to the field of computer-aided modeling, and relates to a mathematical model modeling method suitable for dynamic characteristics of an oil-gas suspension. The method can rapidly analyze the dynamic characteristics of the hydro-pneumatic suspension and the relation between the influence factors of the hydro-pneumatic suspension, and obtain the accurate description mathematical model which considers the influence factors of the dynamic characteristics of the suspension and changes in real time.
Background
The hydro-pneumatic suspension has the functions of transmitting force and moment acting between wheels and a frame, ensuring that the vehicle has good operation stability and smoothness, and being widely applied to military vehicles and heavy vehicles. The dynamic characteristics of the hydro-pneumatic suspension have great influence on the design of a vehicle assembly and a vehicle structure, and in the design process of the vehicle, the model precision directly influences the analysis and the design accuracy of the vehicle, so that the control, the comfort and the driving safety of the vehicle are influenced.
The prior art has the following problems:
the existing modeling technology cannot consider the influence of the internal structure of the hydro-pneumatic suspension on the working characteristics, so that the modeling precision is low, and the structural design of the hydro-pneumatic suspension cannot be guided according to the analysis result.
In the prior art, the characteristics of working media in the suspension, such as oil viscosity, oil temperature, gas dissolution rate and the like, cannot be considered, the modeling precision is low, accurate analysis and suspension control analysis cannot be performed, and the controllability and the control precision are reduced.
The existing modeling method usually only carries out the mathematical modeling of the damping and the rigidity of the suspension aiming at a single influence factor, and cannot consider the influence of the interaction among the influence factors on the damping and the rigidity, so that the obtained model has poor accuracy.
The prior art is generally based on mathematical derivation, and does not consider the state change of an internal flow field of an oil-gas suspension, so that the error between a theoretical value and an actual value is large.
The existing modeling technology is only suitable for considering the influence of 1-2 factors, once the number of the factors is more than 3, the mathematical problems involved in modeling are very complex, and accurate results cannot be obtained.
Disclosure of Invention
According to the method, a Latin hypercube test design method is adopted, the temperature, the oil viscosity, the gas dissolution rate and the suspension vibration speed of the hydro-pneumatic suspension are used as test design factors, and a response surface method is adopted to establish a mathematical model of the damping force and the rigidity force of the hydro-pneumatic suspension. In order to achieve the purpose, the specific scheme is as follows:
the mathematical model modeling method for the dynamic characteristics of the hydro-pneumatic suspension is applied to research on the dynamic characteristics of the hydro-pneumatic suspension, and comprises the following steps:
the method comprises the following steps: by establishing a three-dimensional fluid dynamics model of oil and gas in the working process of the oil-gas suspension, simulating and calculating through fluid dynamics software, and analyzing an experimental result to obtain a change interval of temperature T, oil viscosity U, gas dissolution rate D and suspension vibration speed V;
step two: carrying out DOE virtual simulation test design on the parameters by adopting a sampling method and using the obtained change intervals of temperature, viscosity, gas dissolution rate and speed, wherein the related calculation at least comprises 100 groups of design sample points;
step three: according to a test design scheme, parameter setting is carried out on the three-dimensional fluid dynamics model, then a virtual simulation experiment is carried out, and further the working pressure P of the inner cavity of the oil-gas suspension of the system response value of the designed sample point is obtained1And the working pressure P of the outer chamber2And calculating to obtain the pressure difference between the inner cavity and the outer cavity, namely P1-P2；
Step four: according to the Pascal principle, Fk＝P1·A1，Fc＝ΔP·A2Said A is1Is the inner cavity bearing area of the hydro-pneumatic suspension, A2Calculating the working pressure of the inner cavity and the outer cavity of the suspension obtained by a simulation test for the outer cavity pressure-bearing area of the hydro-pneumatic suspension so as to obtain the rigidity force F of the hydro-pneumatic suspensionkAnd a damping force Fc；
Step five: and (3) performing data fitting on each group of test sample points and the stiffness force and the damping force responded by the test sample points by adopting a data fitting method for simulating an actual function by adopting an approximate model method to obtain an accurate mathematical model of the damping and stiffness characteristics of the oil-gas suspension, which considers the influences of temperature, oil viscosity, gas dissolution rate and suspension vibration speed, wherein the mathematical expression of the model is as follows:
step six: and (3) carrying out significance test on the model, calculating the goodness of fit, carrying out F test, judging whether the regression equation is established on the whole under the given significance level, and if the F test is not successful, carrying out experimental design and virtual simulation analysis again to correct the model.
Preferably, in the second step, a latin hypercube sampling method is adopted, normalization processing is performed on the parameter interval, and DOE virtual simulation test design is performed on the parameters.
Preferably, the approximate model method adopted in the fifth step is a response surface model, and the nonlinear time-varying characteristic of the dynamic height of the hydro-pneumatic suspension can be accurately described.
The technology of the invention has the advantages that:
the method can accurately consider the approximate relationship among the oil temperature, the oil viscosity, the gas solubility and the suspension vibration speed in the working process of the oil-gas suspension, and the damping force and the rigidity force of the oil-gas suspension, and describe the influence of various influencing factors on the dynamic characteristic of the oil-gas suspension.
The method can quickly analyze to obtain an approximate model reflecting the dynamic characteristics of the oil-gas suspension, improve the precision and speed of vehicle dynamic characteristic analysis, and improve the research and development efficiency and the accuracy of simulation analysis and control.
Note: the foregoing designs are not sequential, each of which provides a distinct and significant advance in the present invention over the prior art.
Drawings
FIG. 1 is an approximate model mentioned in the invention, and reflects the highly nonlinear relation between the damping force Y of the hydro-pneumatic suspension and the gas dissolution rate D and the oil viscosity U.
Fig. 2 is an approximate model mentioned in the invention, and reflects the highly nonlinear relation between the damping force Y and the gas dissolution rate D of the hydro-pneumatic suspension and the vibration velocity V of the suspension.
FIG. 3 is an approximate model mentioned in the invention, and reflects a highly nonlinear relation between the rigidity force K of the hydro-pneumatic suspension and the oil temperature T and the gas dissolution rate D.
FIG. 4 is an approximate model mentioned in the invention, which reflects the highly nonlinear relation between the rigidity force K of the hydro-pneumatic suspension, the oil temperature T and the suspension vibration speed V.
FIG. 5 is a schematic of the process of the present invention.
The above detailed description is specific to possible embodiments of the present invention, and the embodiments are not intended to limit the scope of the present invention, and all equivalent implementations or modifications that do not depart from the scope of the present invention are intended to be included within the scope of the present invention.
Claims (7)
1. A modeling method for a mathematical model of the dynamic characteristics of an oil-gas suspension is characterized by comprising the following steps: the mathematical modeling method for the dynamic characteristics of the hydro-pneumatic suspension comprises the following steps of:
the method comprises the following steps: by establishing a three-dimensional fluid dynamics model of oil and gas in the working process of the oil-gas suspension, simulating and calculating through fluid dynamics software, and analyzing an experimental result to obtain a change interval of temperature T, oil viscosity U, gas dissolution rate D and suspension vibration speed V;
step two: carrying out DOE virtual simulation test design on the parameters by adopting a sampling method and using the obtained change intervals of temperature, viscosity, gas dissolution rate and speed, wherein the related calculation at least comprises 100 groups of design sample points;
step three: according to a test design scheme, parameter setting is carried out on the three-dimensional fluid dynamics model, then a virtual simulation experiment is carried out, and further the working pressure P of the inner cavity of the oil-gas suspension of the system response value of the designed sample point is obtained1And the working pressure P of the outer chamber2And calculating to obtain the pressure difference between the inner cavity and the outer cavity, namely P1-P2；
Step four: according to the Pascal principle, Fk＝P1·A1，Fc＝ΔP·A2Said A is1Is the inner cavity bearing area of the hydro-pneumatic suspension, A2Calculating the working pressure of the inner cavity and the outer cavity of the suspension obtained by a simulation test for the outer cavity pressure-bearing area of the hydro-pneumatic suspension so as to obtain the rigidity force F of the hydro-pneumatic suspensionkAnd a damping force Fc；
Step five: and (3) performing data fitting on each group of test sample points and the stiffness force and the damping force responded by the test sample points by adopting a data fitting method for simulating an actual function by adopting an approximate model method to obtain the mathematical expression form of the accurate mathematical model of the damping and stiffness characteristics of the oil-gas suspension, which considers the influences of temperature, oil viscosity, gas dissolution rate and suspension vibration speed, as follows:
step six: and (3) carrying out significance test on the model, calculating the goodness of fit, carrying out F test, judging whether the regression equation is established on the whole under the given significance level, and if the F test is not successful, carrying out experimental design and virtual simulation analysis again to correct the model.
2. The method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: the influence factors which are selected according to experience and have obvious influence on the damping and rigidity characteristics of the oil-gas suspension in the step one are as follows: the method comprises the following steps of determining the temperature of the oil gas suspension, the viscosity of oil liquid, the gas dissolution rate and the vibration speed of the suspension, and determining the change intervals of the temperature of the oil gas suspension, the viscosity of the oil liquid, the gas dissolution rate and the vibration speed of the suspension in the working process of the oil gas suspension.
3. The method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: and in the second step, the obtained change intervals of the temperature, the viscosity, the gas dissolution rate and the suspension vibration speed are used, a test design method is adopted for carrying out numerical scheme design, the adopted test design method is a Latin hypercube method, and the test design in the second step at least comprises 100 groups of design sample points.
4. The method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: in the third step, by using the hydro-pneumatic suspension fluid dynamics model, each group of sample points are designed according to the test, a virtual simulation test is carried out, and the working pressure P of the inner cavity of the hydro-pneumatic suspension of the system response value of each group of designed sample points is obtained1And the working pressure P of the outer chamber2。
5. The method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: and fifthly, performing data fitting on each group of sample points and the corresponding rigidity force and damping force by adopting a data fitting method of a quadratic polynomial simulation actual function of the response surface.
6. The method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: and in the step five, the mathematical expression of the accurate mathematical model of the damping and rigidity characteristics of the hydro-pneumatic suspension, which considers the influences of temperature, oil viscosity, gas dissolution rate and suspension vibration speed, is as follows:
7. the method for modeling a mathematical model of the dynamic characteristics of an oil and gas suspension as claimed in claim 1, wherein: the method for carrying out significance test on the model in the sixth step comprises the following steps: and calculating the goodness of fit, carrying out F test, judging whether the regression equation is established on the whole under a given significance level, and if the F test is not successful, carrying out experimental design and virtual simulation analysis again to correct the model.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN112084640A (en) * | 2020-08-28 | 2020-12-15 | 华能澜沧江水电股份有限公司 | Start-up and shut-down simulation model of hydroelectric generating set with different frequency modulation capacities in frequency modulation market |
| CN112611673A (en) * | 2020-10-28 | 2021-04-06 | 南京航空航天大学 | Dynamic solubility test device and test method for oil-gas buffer of undercarriage |
| CN112611674A (en) * | 2020-10-28 | 2021-04-06 | 南京航空航天大学 | Aircraft landing gear buffer gas oil dissolution dynamic balance test device and test method thereof |
| CN115310337A (en) * | 2022-10-12 | 2022-11-08 | 中汽研（天津）汽车工程研究院有限公司 | Vehicle dynamic performance prediction method based on artificial intelligence |
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