CN113032892B - Skin panel parameter optimization method based on stability algorithm - Google Patents

Skin panel parameter optimization method based on stability algorithm Download PDF

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CN113032892B
CN113032892B CN202011612917.9A CN202011612917A CN113032892B CN 113032892 B CN113032892 B CN 113032892B CN 202011612917 A CN202011612917 A CN 202011612917A CN 113032892 B CN113032892 B CN 113032892B
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徐荣章
余明
李嘉玺
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AVIC First Aircraft Institute
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Abstract

The invention discloses a skin panel parameter optimization method based on a stability algorithm, which comprises the following steps: step 1, calculating equivalent stress and critical buckling stress of a skin unit according to an initial model of a skin panel structure of a metal wing, and calculating a stress ratio of the skin unit; step 2, when the stress ratio of the skin unit is greater than or equal to 1, setting a thickness increasing coefficient for increasing the thickness of the skin unit; and 3, determining to adopt the thickness increasing coefficient or the minimum amount of the skin thickness processing technology to carry out thickness increasing treatment on the skin units according to the comparison of the thickness increasing amount formed by the skin units by adopting the thickness increasing coefficient set in the step 2 and the minimum amount of the skin thickness processing technology. The embodiment of the invention solves the problems that the traditional skin panel parameter optimization method highly depends on the experience of designers and has huge manual parameter adjustment workload because the stability is only checked and does not participate in initiative in the parameterization process of the traditional skin panel.

Description

Skin panel parameter optimization method based on stability algorithm
Technical Field
The invention relates to the technical field of aircraft structure design and strength analysis, in particular to a skin panel parameter optimization method based on a stability algorithm.
Background
In the parameter optimization process of the skin panel of the metal wing of the traditional airplane, the optimization idea is as follows: and (3) taking the thickness parameter of the skin wall plate as an optimization variable, taking the full stress level as a constraint condition under the limitation of the manufacturing process, checking the stability of the wall plate, and finally taking the minimum weight of the wall plate as an optimization target.
In the wallboard parameter optimization mode, the stability of the wallboard is only used as a passive strength check function, and is not used as an active design reference; in addition, the thickness parameter of a single unit which does not meet the stability can only be manually modified in the conventional parameterization process, the modification basis needs strong experience, the subjective experience of a designer is completely depended, and the parameter adjustment workload is large.
Disclosure of Invention
The purpose of the invention is as follows: the embodiment of the invention provides a skin panel parameter optimization method based on a stability algorithm, and aims to solve the problems that in the parameterization process of the traditional skin panel, the stability is only checked and does not participate in initiative, so that the traditional skin panel parameter optimization method highly depends on the experience of designers, and the manual parameter adjustment workload is huge.
The technical scheme of the invention is as follows: the embodiment of the invention provides a skin panel parameter optimization method based on a stability algorithm, which comprises the following steps:
step 1, calculating the equivalent stress sigma and the critical instability stress sigma of a skin unit according to an initial model of a skin panel structure of a metal wing c And calculating the stress ratio sigma/sigma of the skin unit c ；
Step 2, stress ratio sigma/sigma of the skin unit c When the thickness of the skin unit is greater than or equal to 1, setting a thickness increasing coefficient for increasing the thickness of the skin unit;
and 3, determining that the thickness of the skin unit is increased by the thickness increasing coefficient or the minimum amount of the skin thickness processing technology according to the comparison between the thickness increasing coefficient set in the step 2 and the minimum amount of the skin thickness processing technology.
Optionally, in the skin panel parameter optimization method based on the stability algorithm, the setting of the thickness increasing coefficient in step 2 is as follows:
setting the thickness increase coefficient to (sigma/sigma) c ) 1/3 (ii) a Wherein the thickness increases (σ/σ) for each individual skin cell c ) 1/3 Then, the equivalent stress sigma of the corresponding skin unit is equal to the critical instability stress sigma c 。
Optionally, in the skin panel parameter optimization method based on the stability algorithm, in the step 3, the manner of obtaining the thickness increase amount of the skin unit is as follows:
step 31, calculating the thickness increase coefficient (sigma/sigma) c ) 1/3 To the skin unitThickness increase amount ((sigma/sigma) formed by thickness increase c ) 1/3 -1) t; wherein t is the panel thickness of the skin unit.
Optionally, in the method for optimizing parameters of a skin panel based on a stability algorithm, the determining, in step 3, a manner of increasing the thickness of the skin unit includes:
step 32, judging whether the thickness increase is greater than or equal to 0.2mm, wherein 0.2mm is the minimum amount of the skin thickness processing technology;
step 33, when the thickness increase is greater than or equal to 0.2mm, adopting the thickness increase coefficient to increase the thickness of the skin unit;
and step 34, when the thickness increase is smaller than 0.2mm, performing thickness increase on the skin unit by taking 0.2mm as the thickness increase.
Optionally, in the method for optimizing parameters of a skin panel based on a stability algorithm, the step 33 of increasing the thickness of the skin unit by using the thickness increase coefficient includes:
setting an acceleration factor k to the thickness increasing coefficient by which the thickness increasing coefficient (σ/σ) is increased c ) 1/3 Amplifying by k times and passing k (sigma/sigma) c ) 1/3 And increasing the thickness of the skin unit.
Optionally, in the skin panel parameter optimization method based on the stability algorithm as described above, the method further includes:
step 4, increasing the thickness of the skin unit by repeatedly executing the steps 2 to 3, and specifying the stress ratio sigma/sigma of the skin unit c Less than 1.
Optionally, in the skin panel parameter optimization method based on the stability algorithm, a value of the acceleration factor k is between 1 and 2;
in the process of executing the steps 2 to 3 each time, the skin panel parameter optimization method adjusts the thickness increase amount of the skin unit by setting the value of the acceleration factor k, so that the skin panel parameter optimization speed is adjusted.
Optionally, in the skin panel parameter optimization method based on the stability algorithm as described above, the method further includes:
step 2a, stress ratio sigma/sigma of the skin unit c And when the number of the skin units is less than 1, the corresponding skin units conform to stability control, and the optimization is finished.
The invention has the beneficial effects that: compared with the traditional method for optimizing the parameters of the skin panel of the metal wing, the method for optimizing the parameters of the skin panel based on the stability algorithm provided by the embodiment of the invention has the advantages that on one hand, an accelerated optimization method for the parameters of the skin panel is provided by combining theory and engineering experience, stability check control is creatively deduced to be stability active design, and the deduced increase coefficient indicates an optimization direction for optimizing the stability control of the parameters of the panel; on the other hand, the setting of the acceleration factor greatly reduces the optimization iteration times, shortens the manual adjustment of the traditional optimization method for several hours to several minutes, and greatly improves the optimization efficiency. The skin panel parameter optimization method based on the stability algorithm provided by the embodiment of the invention introduces the stability design as an active design factor into an optimization process, designs an accelerated iteration coefficient and realizes rapid parameter optimization. .
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The accompanying drawings are included to provide a further understanding of the invention and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the example serve to explain the principles of the invention and not to limit the invention.
Fig. 1 is a flowchart of a skin panel parameter optimization method based on a stability algorithm according to an embodiment of the present invention;
fig. 2 is a flowchart of another skin panel parameter optimization method based on a stability algorithm according to an embodiment of the present invention.
DETAILED DESCRIPTION OF EMBODIMENT (S) OF INVENTION
To make the objects, technical solutions and advantages of the present invention more apparent, embodiments of the present invention will be described in detail below with reference to the accompanying drawings. It should be noted that the embodiments and features of the embodiments in the present application may be arbitrarily combined with each other without conflict.
It has been demonstrated in the above background that wallboard stability serves only as a passive strength check, and not as an active design reference; in addition, the thickness parameter of a single unit which does not meet the stability can only be manually modified in the existing parameterization process, the modification needs strong experience according to the requirement, the subjective experience of a designer is completely depended, and the parameter adjusting workload is large.
Based on the above problems, the embodiment of the invention provides a skin panel parameter optimization method based on a stability algorithm, which introduces stability design as an active design factor into an optimization process, designs an accelerated iteration coefficient, and realizes rapid parameter optimization.
The following specific embodiments of the present invention may be combined, and the same or similar concepts or processes may not be described in detail in some embodiments.
Fig. 1 is a flowchart of a skin panel parameter optimization method based on a stability algorithm according to an embodiment of the present invention. The skin panel parameter optimization method based on the stability algorithm provided by the embodiment of the invention can comprise the following steps:
step 1, calculating the equivalent stress sigma and the critical instability stress sigma of a skin unit according to an initial model of a skin panel structure of a metal wing c And calculating the stress ratio sigma/sigma of the skin unit c ；
Step 2, stress ratio sigma/sigma of skin unit c When the thickness is greater than or equal to 1, setting a thickness increasing coefficient for increasing the thickness of the skin unit;
and 3, determining to perform thickness increasing treatment on the skin unit by adopting the thickness increasing coefficient or the minimum amount of the skin thickness processing technology according to the comparison between the thickness increasing amount formed by the skin unit by adopting the thickness increasing coefficient set in the step 2 and the minimum amount of the skin thickness processing technology.
In step 2 of the embodiment of the present invention, the thickness increase coefficient is set in the following manner:
setting the thickness increase coefficient to (sigma/sigma) c ) 1/3 (ii) a Wherein, for each independentCovering unit with increased thickness (sigma/sigma) c ) 1/3 Then, the equivalent stress σ of the corresponding skin unit is equal to the critical buckling stress σ c 。
The implementation method for acquiring the thickness increment of the skin unit in the step 3 of the embodiment of the invention comprises the following steps:
step 31, calculating the thickness increase coefficient (sigma/sigma) c ) 1/3 An increased thickness amount ((sigma/sigma) formed by increasing the thickness of the skin unit c ) 1/3 -1) t; wherein t is the panel thickness of the skin unit.
The implementation method for determining the thickness increase of the skin unit in the step 3 of the embodiment of the invention comprises the following steps:
step 32, judging whether the thickness increase is greater than or equal to 0.2mm, wherein 0.2mm is the minimum amount of the skin thickness processing technology;
step 33, when the thickness increase is larger than or equal to 0.2mm, adopting a thickness increase coefficient to increase the thickness of the skin unit;
and step 34, when the thickness increase amount is smaller than 0.2mm, increasing the thickness of the skin unit by taking 0.2mm as the thickness increase amount.
In step 33 of the embodiment of the present invention, a method for increasing the thickness of the skin unit by using a thickness increase coefficient includes:
an acceleration factor k is set for the thickness increase coefficient by which the thickness increase coefficient (σ/σ) is increased c ) 1/3 Amplifying by k times and passing k (sigma/sigma) c ) 1/3 Increasing the thickness of the skin unit; in the embodiment of the invention, the number of iterations of skin panel parameter optimization is reduced by setting the acceleration factor k.
The skin panel parameter optimization method provided by the embodiment of the invention further comprises the following steps:
step 4, increasing the thickness of the skin unit by repeatedly executing the steps 2 to 3, and specifying the stress ratio sigma/sigma of the skin unit c Less than 1.
It should be noted that, in the embodiment of the present invention, the value of the acceleration factor k is between 1 and 2; in addition, in the process of executing the step 2 to the step 3 each time, the skin panel parameter optimization method adjusts the thickness increase amount of the skin unit by setting the value of the acceleration factor k, so that the skin panel parameter optimization speed is adjusted.
The skin panel parameter optimization method provided by the embodiment of the invention further comprises the following steps:
step 2a, stress ratio sigma/sigma of skin unit c And when the number of the skin units is less than 1, the corresponding skin units conform to stability control, and the optimization is finished.
Compared with the traditional method for optimizing the parameters of the skin panel of the metal wing, the method for optimizing the parameters of the skin panel based on the stability algorithm provided by the embodiment of the invention has the advantages that on one hand, an accelerated optimization method for the parameters of the skin panel is provided by combining theory and engineering experience, stability check control is creatively deduced to be stability active design, and the deduced increase coefficient indicates the optimization direction for optimizing the stability control of the parameters of the panel; on the other hand, the setting of the acceleration factor greatly reduces the optimization iteration times, shortens the manual adjustment of the traditional optimization method for several hours to several minutes, and greatly improves the optimization efficiency. According to the skin panel parameter optimization method based on the stability algorithm, stability design is used as an active design factor to be introduced into an optimization process, an accelerated iteration coefficient is designed, and rapid parameter optimization is achieved.
The thickness increase factor (. Sigma./. Sigma.) in the examples of the present invention is as follows c ) 1/3 The derivation of (a) will be described.
Before the optimization is carried out by adopting the method provided by the embodiment of the invention, the equivalent stress is set as sigma 0 Critical destabilizing stress σ c0 And the equivalent stress sigma 0 The following relation is satisfied:
Figure RE-GDA0003074017650000061
wherein F is the compressive load of the skin unit, and b is the loading edge width of the skin unit; equivalent stress sigma 0 And critical destabilizing stress σ c0 The following relationship is satisfied:
Figure RE-GDA0003074017650000062
in the above formula, K c For the compressive critical stress coefficient, E is the elastic model of the material and μ is the elastic Poisson's ratio of the material.
Assuming that the equivalent stress of the skin unit is equal to the critical buckling stress after the thickness of the skin unit is increased by X times, and the equivalent stress after optimization is set as sigma 1 Critical destabilizing stress is σ c1 According to the formula, the following formula is shown:
Figure RE-GDA0003074017650000063
σ c1 ＝σ c0 *X 2 ；
equal to each other, can deduce:
X＝(σ 0 /σ c0 ) 1/3 。
the following describes in detail a specific implementation of a skin panel parameter optimization method based on a stability algorithm according to an embodiment of the present invention.
As shown in fig. 1, for the skin panel parameter optimization method based on the stability algorithm provided in the embodiment of the present invention, fig. 1 is a flow chart of a fast attribute mapping method from a CAD model to a CAE model, and the skin panel parameter optimization method in the embodiment is specifically implemented according to the following principle:
1, selecting skin thickness t as an optimization variable in a parameter optimization process of an initial model of a skin panel structure of a metal wing, calculating equivalent stress sigma of skin unit cells, and calculating critical instability stress sigma of the skin unit cells according to full stress and stability constraint c Judging the ratio sigma/sigma c ；
2, if the above-mentioned ratio σ/σ is c If the value is less than 1, the skin unit meets the stability control, the design requirement is met, and the optimization is finished;
if the above-mentioned ratio σ/σ is c If the thickness is more than or equal to 1, the skin unit is unstable, the skin unit needs to be thickened, and the thickness increasing coefficient (sigma/sigma) is designed c ) 1/3 ；
It should be noted that: the principle of the increase coefficient is that the equivalent stress σ ∈ t -1 Critical destabilizing stress σ c ∝t 2 (known formula), theoretically for each individual skin unit, the thickness increases (σ/σ) c ) 1/3 Then, the equivalent stress sigma of the skin unit is equal to the critical buckling stress sigma c ；
4, considering the manufacturing process, the amount of thickness increase ((σ/σ) was judged c ) 1/3 -1) whether t is greater than or equal to 0.2mm, if greater than or equal to 0.2mm, the increase can be performed according to step 3, if less than 0.2mm, the increase is 0.2 mm; the minimum processing technology of the skin thickness in the manufacturing technology of the step;
5, in the actual optimization process, in order to accelerate the parameter optimization process of the skin panel, an acceleration factor k can be designed, and (sigma/sigma) c ) 1/3 Magnification by k times, through k (σ/σ) c ) 1/3 The skin unit is increased in thickness, so that the iteration times are greatly reduced.
An implementation of the optimization using the acceleration factor in the embodiment of the present invention is described below, and as shown in fig. 2, a flowchart of another skin panel parameter optimization method based on a stability algorithm is provided in the embodiment of the present invention. The flow specifies the influence of the setting of the acceleration factor k on the flow.
Setting an initial optimization stage, wherein k is 1;
iteration times are 0 times: calculating the number m of skin cells of which the initial module does not meet stability control;
iteration times are 1: calculating the number n of skin cells which do not meet stability control after the first optimization;
if n/m is greater than m -0.125 In the process, considering that the optimization cannot be completed after 8 iterations, an acceleration factor k is set, and values are taken in an interval (1,2) according to the requirement of the optimization precision, wherein the larger the value is, the faster the optimization speed is, and the lower the optimization precision is.
Although the embodiments of the present invention have been described above, the above description is only for the convenience of understanding the present invention, and is not intended to limit the present invention. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.

Claims (3)

1. A skin panel parameter optimization method based on a stability algorithm is characterized by comprising the following steps:
step 1, calculating the equivalent stress sigma and the critical instability stress sigma of a skin unit according to an initial model of a skin panel structure of a metal wing c And calculating the stress ratio sigma/sigma of the skin unit c ；
Step 2, stress ratio sigma/sigma of the skin unit c When the thickness of the skin unit is greater than or equal to 1, setting a thickness increasing coefficient for increasing the thickness of the skin unit;
step 3, determining that the thickness increasing coefficient or the minimum amount of the skin thickness processing technology is used for performing thickness increasing treatment on the skin unit according to the comparison between the thickness increasing amount formed by the skin unit and the minimum amount of the skin thickness processing technology by using the thickness increasing coefficient set in the step 2;
step 4, the thickness of the skin units is increased by repeatedly executing the steps 2 to 3, and the stress ratio sigma/sigma of the skin units is specified c Less than 1;
wherein, the thickness increasing coefficient is set in the step 2 in a manner that:
setting the thickness increase coefficient to (sigma/sigma) c ) 1/3 (ii) a Wherein the thickness increases (σ/σ) for each individual skin cell c ) 1/3 Then, the equivalent stress σ of the corresponding skin unit is equal to the critical buckling stress σ c ；
The manner of obtaining the thickness increase amount of the skin unit in the step 3 is as follows:
step 31, calculating the thickness increase coefficient (sigma/sigma) c ) 1/3 An increased thickness amount ((sigma/sigma) formed by increasing the thickness of the skin unit c ) 1/3 -1) t; wherein t is the thickness of the wall plate of the skin unit;
determining a thickness increasing mode of the skin unit in the step 3 includes:
step 32, judging whether the thickness increase is greater than or equal to 0.2mm, wherein 0.2mm is the minimum amount of the skin thickness processing technology;
step 33, when the thickness increase is greater than or equal to 0.2mm, adopting the thickness increase coefficient to increase the thickness of the skin unit;
step 34, when the thickness increment is smaller than 0.2mm, the thickness increment is carried out on the skin unit by taking 0.2mm as the thickness increment;
in the step 33, the increasing the thickness of the skin unit by using the thickness increase coefficient includes:
setting an acceleration factor k to the thickness increasing coefficient by which the thickness increasing coefficient (σ/σ) is increased c ) 1/3 Amplifying by k times and passing k (sigma/sigma) c ) 1/3 And increasing the thickness of the skin unit.
2. The stability algorithm-based skin panel parameter optimization method of claim 1, wherein the acceleration factor k has a value between 1 and 2;
in the process of executing the steps 2 to 3 each time, the skin panel parameter optimization method adjusts the thickness increase amount of the skin unit by setting the value of the acceleration factor k, so that the skin panel parameter optimization speed is adjusted.
3. The stability algorithm-based skin panel parameter optimization method of claim 1, further comprising:
step 2a, stress ratio sigma/sigma of the skin unit c When less than 1, the corresponding maskAnd (5) the skin unit accords with stability control, and optimization is finished.
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Citations (1)

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Publication number Priority date Publication date Assignee Title
CN105184390A (en) * 2015-08-12 2015-12-23 中国运载火箭技术研究院 Integrated optimization method of static strength, rigidity, stability of wallboard structure

Patent Citations (1)

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Publication number Priority date Publication date Assignee Title
CN105184390A (en) * 2015-08-12 2015-12-23 中国运载火箭技术研究院 Integrated optimization method of static strength, rigidity, stability of wallboard structure

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