CN104951616B - A method of it obtaining end and supports coefficient - Google Patents
A method of it obtaining end and supports coefficient Download PDFInfo
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- CN104951616B CN104951616B CN201510391487.5A CN201510391487A CN104951616B CN 104951616 B CN104951616 B CN 104951616B CN 201510391487 A CN201510391487 A CN 201510391487A CN 104951616 B CN104951616 B CN 104951616B
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Abstract
The present invention relates to aircraft structure strength computing techniques, and in particular to a method of it obtains end and supports coefficient.The method for obtaining end and supporting coefficient of the invention, in predetermined torsion stiffness ratio, coefficient is supported by multiple predefined curved rigidity ratios and corresponding multiple ends, obtain relational expression of the predefined curved rigidity than supporting coefficient with end, so that before the test, the support coefficient of airframe or wing Material Stiffened Panel support structure can be rapidly and accurately obtained by the relational expression.
Description
Technical Field
The invention relates to the technology of airplane structure strength calculation, in particular to a method for acquiring an end support coefficient.
Background
In order to match the determination of allowable values of the structures of the wings or the fuselage stiffened wall panels of the airplane and promote the backward bending bearing capacity of the fuselage or the stiffened wall panels of the wings to develop to a high level, the analysis of the backward bending bearing capacity of the stiffened wall panels of the airplane is important before the test, and the end support coefficient of the stiffened wall panel support structure needs to be known in the rapid calculation of the bearing capacity.
In addition, in order to enable the reinforced wall plate model selection test to more accurately simulate the bearing of the real structure of the airplane, the length of the model selection test piece needs to be corrected, and the end part support coefficient of the supporting structure of the reinforced wall plate of the airplane wing or the fuselage is needed in the correction process. Therefore, determination of the end support coefficient is particularly important.
Disclosure of Invention
The present invention has an object to provide a method of obtaining an end support factor, which can determine the end support factor of a reinforced wall panel support structure before a test.
The technical scheme of the invention is as follows:
a method for obtaining an end support coefficient is used for obtaining the end support coefficient of a to-be-measured support structure of a to-be-measured reinforced wall plate, and comprises the following steps:
step one, establishing a finite element model of a preset reinforced wall plate, and verifying the finite element model;
step two, in a finite element model of the preset reinforced wall plate, under the condition that the preset torsional rigidity ratio of the preset supporting structure is ensured to be a preset value, modifying the value of a preset parameter in the preset supporting structure step by step, so as to obtain the preset bearing capacity of the preset reinforced wall plate corresponding to different preset parameter values;
calculating to obtain corresponding end support coefficients according to the preset bearing capacities of different preset reinforced wall plates;
step four, calculating to obtain respective corresponding preset bending rigidity ratios according to different preset parameter values so as to obtain a plurality of preset bending rigidity ratios and a plurality of corresponding end support coefficients;
step five, fitting to obtain a relational expression of the preset bending stiffness ratio and the end support coefficient under the condition of the preset torsional stiffness ratio according to the preset bending stiffness ratios and the corresponding end support coefficients;
and sixthly, calculating the ratio of the torsional rigidity to be measured and the ratio of the bending rigidity to be measured of the reinforced wall plate to be measured, and substituting the ratio of the bending rigidity to be measured into a relational expression of the predetermined ratio of the bending rigidity to be measured and the end support coefficient under the condition that the ratio of the torsional rigidity to be measured is equal to the predetermined ratio of the torsional rigidity to be measured, so as to obtain the end support coefficient corresponding to the ratio of the bending rigidity to be measured.
Optionally, the predetermined torsional stiffness ratio is a predetermined value including 0, 2, 5, 10, 20, and 50;
1) and when the predetermined torsional rigidity ratio is 0, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
wherein,for the predetermined bending stiffness ratio, K is the bending stiffness of the predetermined support structure per unit length, B is the bending stiffness of the predetermined stiffened wall panel per unit width, and L is the length of the predetermined stiffened wall panel;
2) and when the rib torsional rigidity ratio is 2, the relation between the preset bending rigidity ratio and the end support coefficient c is as follows:
3) and when the rib torsional rigidity ratio is 5, the relation between the preset bending rigidity ratio and the end support coefficient c is as follows:
4) and when the rib torsional rigidity ratio is 10, the relation between the preset bending rigidity ratio and the end support coefficient c is as follows:
5) and when the rib torsional rigidity ratio is 20, the relation between the preset bending rigidity ratio and the end support coefficient c is as follows:
6) and when the rib torsional rigidity ratio is 50, the relation between the preset bending rigidity ratio and the end support coefficient c is as follows:
optionally, when the torsional rigidity ratio to be measured is not equal to all the predetermined torsional rigidity ratios, two adjacent predetermined torsional rigidity ratios are selected, and the end support coefficient is obtained through calculation of a difference.
Optionally, the bending stiffness K ═ pi of the predetermined support structure per unit length4(EI)r/W4In type (EI)rIs the bending stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure;
the bending rigidity B of the predetermined stiffened panel of single-bit width (η EI)st/bstIn type (η EI)stFor a predetermined flexural rigidity of a typical unit of the stiffened panel, η is the plastic reduction factor, bstStringer pitch.
Optionally, the predetermined torsional stiffness ratio isWhere θ is a torque per unit torsion angle, B is a bending rigidity of the predetermined stiffened wall panel per unit width, and L is a length of the predetermined stiffened wall panel.
Optionally, the torque per unit twist angleWherein GJ is the torsional stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure; and L is the length of the preset reinforced wall plate.
Optionally, when the predetermined stiffened wall panel and the stiffened wall panel to be tested are wing stiffened wall panels, the predetermined support structure and the support structure to be tested are ribs;
when the preset reinforced wall plate and the reinforced wall plate to be detected are fuselage reinforced wall plates, the preset supporting structure and the supporting structure to be detected are frames.
Optionally, the load-bearing capacity is obtained according to the following formula:
wherein,for the average failure stress of the reinforced wall panel to be measured,stress of pressure loss, p, for a single stringer0The radius of gyration of a typical unit is L ', the effective column length of the preset reinforced wall plate is L', and the L is the length of the preset reinforced wall plate;
in addition, the typical unit radius of gyrationWherein A is0And I0Respectively, the sectional area of the typical unit and the moment of inertia of the mandrel;
effective column length of stiffened plate
Optionally, the predetermined parameter in the predetermined support structure is the predetermined stiffened wall panel length L.
The invention has the beneficial effects that:
according to the method for obtaining the end support coefficient, disclosed by the invention, under the condition of a preset torsional rigidity ratio, a relational expression of the preset bending rigidity ratio and the end support coefficient is obtained through a plurality of preset bending rigidity ratios and a plurality of corresponding end support coefficients, so that before a test, the support coefficient of the aircraft fuselage or wing stiffened wall plate support structure can be quickly and accurately obtained through the relational expression.
Drawings
FIG. 1 is a flow chart of a portion of a method of obtaining tip support coefficients in accordance with the present invention.
Detailed Description
Reference will now be made in detail to the exemplary embodiments, examples of which are illustrated in the accompanying drawings. When the following description refers to the accompanying drawings, like numbers in different drawings represent the same or similar elements unless otherwise indicated.
As shown in fig. 1, the method for obtaining an end support coefficient provided by the present invention is used for obtaining an end support coefficient of a to-be-measured support structure of a to-be-measured stiffened wall panel, and includes the following steps:
step one, establishing a finite element model of the preset reinforced wall plate to obtain the bearing capacity (also called post-bending bearing capacity) of the preset reinforced wall plate. The preset reinforced wall plate is a reinforced wall plate with known parameters, the bearing capacity of the preset reinforced wall plate is calculated according to the existing finite element method, and the bearing capacity is verified with a test result, so that the accuracy of a finite element model is ensured.
Further, the calculation formula of the bearing capacity is as follows:
wherein,for the average failure stress of the reinforced wall panel to be measured,stress of pressure loss, p, for a single stringer0And L' is the effective column length of the reinforced wall plate to be measured, and L is the length of the reinforced wall plate to be measured.
In addition, the typical unit radius of gyrationWherein A is0And I0Respectively, the sectional area of the typical unit and the moment of inertia of the mandrel;
effective column length of stiffened plateWherein c is an end support coefficient.
And step two, in a finite element model of the preset reinforced wall plate, under the condition that the preset torsional rigidity ratio of the preset support structure is ensured to be a preset value, modifying the value of one preset parameter in the preset support structure step by step, and thus obtaining the preset bearing capacity of the preset reinforced wall plate corresponding to different preset parameter values. Specifically, the predetermined torsional rigidity ratio may be selected to be 0, 2, 5, 10, 20 and 50 as required, and the predetermined parameter may be the length L of the predetermined stiffened wall panel.
And step three, calculating to obtain the corresponding end support coefficients according to the preset bearing capacities of different preset reinforced wall plates.
And fourthly, calculating to obtain the corresponding preset bending stiffness ratios according to different preset parameter values, thereby obtaining a plurality of preset bending stiffness ratios and a plurality of corresponding end support coefficients. This end support factor corresponds to the support structure (frame or rib), i.e., such end support factor corresponds to a unique torsional stiffness ratio and a unique support stiffness ratio.
In addition, according to the calculation formula of the fixed bearing capacity in the step one, the formula of the back-derived end support coefficient c is as follows:
and step five, fitting to obtain a relational expression of the preset bending stiffness ratio and the end support coefficient under the condition of the preset torsional stiffness ratio according to the preset bending stiffness ratio and a plurality of corresponding end support coefficients (namely, obtaining a plurality of groups of points under the condition that the torsional stiffness ratio is a certain preset value, wherein the abscissa of the points is the preset bending stiffness ratio, and the ordinate of the points is the end support coefficient).
1) When the predetermined torsional rigidity ratio is 0, the obtained coordinate points are shown in table 1 below:
table 1:
fitting by a mathematical method to obtain a relation between the predetermined bending stiffness ratio and the end support coefficient c when the predetermined torsional stiffness ratio is 0 as follows:
wherein,for the predetermined bending stiffness ratio, K is a unit length ofAnd B is the bending rigidity of the preset reinforced wall plate with single-bit width, and L is the length of the preset reinforced wall plate.
2) When the rib torsional stiffness ratio is 2, the resulting coordinate points are shown in table 2 below:
table 2:
fitting by a mathematical method to obtain a relation between the predetermined bending stiffness ratio and the end support coefficient c under the condition that the predetermined torsional stiffness ratio is 2 as follows:
3) when the rib torsional stiffness ratio is 5, the resulting coordinate points are shown in table 3 below:
table 3:
fitting by a mathematical method to obtain a relation between the predetermined bending stiffness ratio and the end support coefficient c under the condition that the predetermined torsional stiffness ratio is 5 as follows:
4) when the rib torsional stiffness ratio is 10, the resulting coordinate points are shown in table 4 below:
table 4:
fitting by a mathematical method to obtain a relation between the predetermined bending stiffness ratio and the end support coefficient c under the condition that the predetermined torsional stiffness ratio is 10 as follows:
5) when the rib torsional stiffness ratio is 20, the resulting coordinate points are shown in table 5 below:
table 5:
fitting is carried out by a mathematical method to obtain a relation between the preset bending stiffness ratio and the end support coefficient c under the condition that the preset torsional stiffness ratio is 20 as follows:
6) when the rib torsional stiffness ratio is 50, the resulting coordinate points are shown in table 6 below:
table 6:
fitting is carried out by a mathematical method to obtain a relation between the preset bending stiffness ratio and the end support coefficient c under the condition that the preset torsional stiffness ratio is 20 as follows:
and step six, calculating the ratio of the torsional rigidity to be measured and the ratio of the bending rigidity to be measured of the reinforced wall plate to be measured, and substituting the ratio of the bending rigidity to be measured into a relational expression of the preset bending rigidity ratio and the end support coefficient under the condition that the ratio of the torsional rigidity to be measured is equal to the preset torsional rigidity ratio, so as to obtain the end support coefficient corresponding to the ratio of the bending rigidity to be measured.
In addition, when the torsional rigidity ratio to be measured is not equal to all the preset torsional rigidity ratios, two adjacent preset torsional rigidity ratios are selected, and the end support coefficient is obtained through calculation of the difference value.
Further, when the preset reinforced wall plate and the reinforced wall plate to be detected are wing reinforced wall plates, the preset supporting structure and the supporting structure to be detected are ribs;
when the preset reinforced wall plate and the reinforced wall plate to be detected are fuselage reinforced wall plates, the preset supporting structure and the supporting structure to be detected are frames.
Bending stiffness K pi of a unit-long predetermined support structure4(EI)r/W4In type (EI)rIs the bending stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure.
Bending stiffness B of predetermined stiffened panel of single width (η EI)st/bstIn type (η EI)stFor the resistance of a typical element of a predetermined stiffened panelFlexural rigidity, η is the plastic reduction factor, bstStringer pitch.
A predetermined torsional rigidity ratio ofWhere θ is a torque per unit torsion angle, B is a bending rigidity of the predetermined stiffened wall panel per unit width, and L is a length of the predetermined stiffened wall panel.
Torque per unit torsional angleWherein GJ is the torsional stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure; and L is the length of the preset reinforced wall plate.
According to the method for obtaining the end support coefficient, disclosed by the invention, under the condition of a preset torsional rigidity ratio, a relational expression of the preset bending rigidity ratio and the end support coefficient is obtained through a plurality of preset bending rigidity ratios and a plurality of corresponding end support coefficients, so that before a test, the support coefficient of the aircraft fuselage or wing stiffened wall plate support structure can be quickly and accurately obtained through the relational expression.
The above description is only for the specific embodiment of the present invention, but the scope of the present invention is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present invention are included in the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the appended claims.
Claims (6)
1. A method for obtaining an end support coefficient is used for obtaining the end support coefficient of a to-be-measured support structure of a to-be-measured reinforced wall plate, and is characterized by comprising the following steps of:
step one, establishing a finite element model of a preset reinforced wall plate to obtain the bearing capacity of the preset reinforced wall plate, and verifying the finite element model;
step two, in a finite element model of the preset reinforced wall plate, under the condition that a preset torsional rigidity ratio of a preset supporting structure is ensured to be a preset value, modifying the value of a preset parameter in the preset supporting structure step by step so as to obtain the preset bearing capacity of the preset reinforced wall plate corresponding to different preset parameter values, wherein the preset parameter is the length L of the preset reinforced wall plate;
calculating to obtain corresponding end support coefficients according to the preset bearing capacities of different preset reinforced wall plates;
step four, calculating to obtain respective corresponding preset bending rigidity ratios according to different preset parameter values so as to obtain a plurality of preset bending rigidity ratios and a plurality of corresponding end support coefficients;
step five, fitting to obtain a relational expression of the preset bending stiffness ratio and the end support coefficient under the condition of the preset torsional stiffness ratio according to the preset bending stiffness ratios and the corresponding end support coefficients;
step six, calculating a to-be-measured torsional rigidity ratio and a to-be-measured bending rigidity ratio of the to-be-measured reinforced wall plate, and substituting the to-be-measured bending rigidity ratio into a relational expression of the preset bending rigidity ratio and the end part support coefficient under the condition that the to-be-measured torsional rigidity ratio is equal to the preset torsional rigidity ratio, so as to obtain an end part support coefficient corresponding to the to-be-measured bending rigidity ratio;
in the step five, the predetermined torsional rigidity ratio is a predetermined value including 0, 2, 5, 10, 20 and 50;
1) and when the predetermined torsional rigidity ratio is 0, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
wherein,for the predetermined bending stiffness ratio, K is the bending stiffness of the predetermined support structure per unit length, B is the bending stiffness of the predetermined stiffened wall panel per unit width, and L is the length of the predetermined stiffened wall panel;
2) and when the predetermined torsional rigidity ratio is 2, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
3) and when the predetermined torsional rigidity ratio is 5, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
4) and when the predetermined torsional rigidity ratio is 10, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
5) and when the predetermined torsional rigidity ratio is 20, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
6) and when the predetermined torsional rigidity ratio is 50, the relationship between the predetermined bending rigidity ratio and the end support coefficient c is as follows:
2. the method for obtaining an end support coefficient according to claim 1, wherein when the torsional rigidity ratio to be measured is not equal to all the predetermined torsional rigidity ratios, two adjacent predetermined torsional rigidity ratios are selected, and the end support coefficient is obtained by calculating a difference.
3. The method of claim 2, wherein the bending stiffness K ═ pi of the predetermined support structure per unit length4(EI)r/W4In type (EI)rIs the bending stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure;
the bending rigidity B of the predetermined stiffened panel of single-bit width (η EI)st/bstIn type (η EI)stFor a predetermined flexural rigidity of a typical unit of the stiffened panel, η is the plastic reduction factor, bstStringer pitch.
4. The method of obtaining an end support factor according to any of claims 1-3, wherein the predetermined torsional stiffness ratio isWhere θ is a torque per unit torsion angle, B is a bending rigidity of the predetermined stiffened wall panel per unit width, and L is a length of the predetermined stiffened wall panel.
5. The method of claim 4, wherein the torque per unit twist angle is obtained by using a linear transformation of the end support coefficientWherein GJ is the torsional stiffness of the predetermined support structure; w is the lateral length of the predetermined support structure; and L is the length of the preset reinforced wall plate.
6. The method of obtaining an end support coefficient according to claim 5, wherein when the predetermined stiffened wall panel and the stiffened wall panel to be measured are wing stiffened wall panels, the predetermined support structure and the support structure to be measured are ribs;
when the preset reinforced wall plate and the reinforced wall plate to be detected are fuselage reinforced wall plates, the preset supporting structure and the supporting structure to be detected are frames.
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| CN106339604B (en) * | 2016-09-19 | 2019-03-22 | 中国航空工业集团公司沈阳飞机设计研究所 | A kind of pressurized strut piston rod calculating method for stability |
| CN108108522B (en) * | 2017-11-29 | 2021-02-26 | 中国飞机强度研究所 | Method for calculating and correcting ultimate load of reinforced wall plate |
| CN108197417A (en) * | 2018-03-06 | 2018-06-22 | 东南大学 | A kind of curve stiffened panel finite element method |
| CN115017760A (en) * | 2022-05-26 | 2022-09-06 | 中国航空工业集团公司沈阳飞机设计研究所 | Method for determining post-bending bearing capacity of stiffened wall panel |
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| CN102288483A (en) * | 2011-07-08 | 2011-12-21 | 中国飞机强度研究所 | Supporting clamp for compression stabilization experiment of reinforced wallboard and supporting coefficient testing method for end socket |
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| CN102288483A (en) * | 2011-07-08 | 2011-12-21 | 中国飞机强度研究所 | Supporting clamp for compression stabilization experiment of reinforced wallboard and supporting coefficient testing method for end socket |
| CN102288483B (en) * | 2011-07-08 | 2014-12-24 | 中国飞机强度研究所 | Supporting clamp for compression stabilization experiment of reinforced wallboard and supporting coefficient testing method for end socket |
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