CN110362882B - Reinforced wallboard shear strength estimation method - Google Patents
Reinforced wallboard shear strength estimation method Download PDFInfo
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- CN110362882B CN110362882B CN201910557150.5A CN201910557150A CN110362882B CN 110362882 B CN110362882 B CN 110362882B CN 201910557150 A CN201910557150 A CN 201910557150A CN 110362882 B CN110362882 B CN 110362882B
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Abstract
The application belongs to the technical field of aviation structural strength analysis, and particularly relates to a shear strength estimation method for a reinforced wallboard, which comprises the following steps: acquiring the shearing buckling critical stress of the reinforced panel skin; calculating according to the shear buckling critical stress to obtain the shear allowable stress of the skin; and calculating the shearing strength of the reinforced wallboard according to the shearing allowable stress. The method for estimating the shear strength of the reinforced wallboard is clear in calculation steps, simple and convenient in calculation process and accurate in calculation result; the method overcomes the defects of the prior method, is suitable for reinforced wall plates of different materials and different structures, can calculate the shearing strength of the structures such as riveting, spiro union, welding and integral reinforced wall plates, has good universality and high flexibility, and reduces the weight of the structure on the premise of ensuring the shearing strength of the reinforced wall plates.
Description
Technical Field
The application belongs to the technical field of aviation structural strength analysis, and particularly relates to a shear strength estimation method for a reinforced wallboard.
Background
The reinforced wall plate is a thin-wall structure consisting of a skin, stringers and formers, and has been widely used in fuselage, wing box sections, tail wing and other structures. The reinforced wallboard is a part which mainly generates damage in the aircraft structure, and the failure damage modes of the reinforced wallboard comprise tensile damage, compression damage, shearing damage, pull-press-shear composite damage and the like. The problem of shear stability of reinforced siding has been a major concern.
At present, a semi-empirical method is mainly adopted in engineering for calculating the shear strength of the reinforced wallboard, the calculation is only to search graphs from a plurality of design manuals, the graphs are only results of specific structures and specific materials (such as 2024-T3 and 7075-T6), the defects of complex calculation process, poor accuracy of calculation results and the like exist, and the method is not suitable for calculating the reinforced wallboard structure processed by novel materials (such as 2524-T3, al-Li-S4 and the like).
Disclosure of Invention
In order to solve at least one of the above technical problems, the present application provides a method for estimating shear strength of a reinforced wallboard.
The application discloses a shear strength estimation method of a reinforced wallboard, which comprises the following steps:
step one, acquiring the shearing buckling critical stress of the skin of the reinforced panel;
step two, calculating according to the shear buckling critical stress to obtain the shear allowable stress of the skin;
and thirdly, calculating the shearing strength of the reinforced wallboard according to the shearing allowable stress.
According to at least one embodiment of the present application, in the second step, before the step of calculating the allowable shear stress of the skin according to the critical shear buckling stress, the method further includes:
a tension field coefficient K is introduced.
According to at least one embodiment of the present application, in the second step, the shear allowable stress is obtained according to the following formula (1):
in sigma s Is the tensile yield strength of the skin material; sigma (sigma) b Is the tensile ultimate strength of the skin material; τ b Is the shear yield strength of the skin material; lambda is a correction coefficient; k is the tension field coefficient.
According to at least one embodiment of the present application, in the second step, λ=1 is used for riveting, λ=0.95 is used for screwing, and λ=1.1 is used for welding the integral wall plate.
According to at least one embodiment of the present application, when
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (2): />
When (when)
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (3):
wherein τ is the shear stress to which the skin is subjected; τ cr H is the frame spacing for shear buckling critical stress.
In accordance with at least one embodiment of the present application, in said step two, the shear allowable stress τ of the skin * Obtained by adopting a successive approximation method, and the relative error meets the following requirements
According to at least one embodiment of the present application, in said step three, the reinforced panel shear strength Qmax is obtained according to the following formula (4):
wherein t is the thickness of the skin, h is the frame spacing, d is the stringer spacing, and n is the number of stringers.
The application has at least the following beneficial technical effects:
the method for estimating the shear strength of the reinforced wallboard is clear in calculation steps, simple and convenient in calculation process and accurate in calculation result; the method overcomes the defects of the prior method, is suitable for reinforced wall plates of different materials and different structures, can calculate the shearing strength of the structures such as riveting, spiro union, welding and integral reinforced wall plates, has good universality and high flexibility, and reduces the weight of the structure on the premise of ensuring the shearing strength of the reinforced wall plates.
Drawings
FIG. 1 is a flow chart of a method of estimating shear strength of a stiffened wall panel according to the present application;
FIG. 2 is a schematic illustration of a fuselage riveted stiffened panel according to the method of estimating shear strength of the stiffened panel of the present application.
Detailed Description
In order to make the purposes, technical solutions and advantages of the implementation of the present application more clear, the technical solutions in the embodiments of the present application will be described in more detail below with reference to the accompanying drawings in the embodiments of the present application. In the drawings, the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The described embodiments are some, but not all, of the embodiments of the present application. The embodiments described below by referring to the drawings are exemplary and intended for the purpose of explaining the present application and are not to be construed as limiting the present application. All other embodiments, which can be made by one of ordinary skill in the art based on the embodiments herein without making any inventive effort, are intended to be within the scope of the present application. Embodiments of the present application are described in detail below with reference to the accompanying drawings.
In the description of the present application, it should be understood that the terms "center," "longitudinal," "lateral," "front," "rear," "left," "right," "vertical," "horizontal," "top," "bottom," "inner," "outer," and the like indicate orientations or positional relationships based on the orientations or positional relationships illustrated in the drawings, merely to facilitate description of the present application and simplify the description, and do not indicate or imply that the device or element being referred to must have a specific orientation, be configured and operated in a specific orientation, and therefore should not be construed as limiting the scope of protection of the present application.
The method of estimating shear strength of the stiffened wall panel of the present application is described in further detail below with reference to fig. 1-2.
The application discloses a method for estimating shear strength of a reinforced wallboard; as shown in FIG. 1, which is a schematic view of a fuselage riveted stiffened panel, in this embodiment, the skin material is preferably 2524-T3, σ s ＝458MPa，σ b ＝345MPa，τ b The shear strength of the fuselage riveted stiffened panel was determined by =28mpa, t=1.8mm, h=400 mm, d=160 mm, n=3.
Based on the above, the method for estimating the shear strength of the reinforced wallboard comprises the following steps:
step S101: calculating skin shearing buckling critical stress tau by using abaqus finite element software cr ＝46.9MPa；
Step S102: introducing a tension field coefficient K according to the buckling critical stress tau cr Calculating to obtain skin shearing allowable stress tau * ；
Specifically, the shear allowable stress is obtained according to the following formula (1):
wherein: sigma (sigma) s Is the tensile yield strength of the skin material; sigma (sigma) b Is the tensile ultimate strength of the skin material; τ b Is the shear yield strength of the skin material; λ is a correction factor, rivet λ=1, screw connect λ=0.95, integral wallboard and weld λ=1.1; k is the tension field coefficient.
When (when)
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (2):
when (when)
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (3):
wherein τ is the skinBear the shear stress; τ cr H is the frame spacing for shear buckling critical stress.
Further, skin shear allowable stress τ * The method comprises the following steps of:
the first approximation, assuming that the skin is subjected to a shear stress τ=286 MPa, then:
tension field coefficient
Allowable stress of skin shearing
The second approximation, let the skin bear shear stress τ= 192.8MPa, then:
tension field coefficient
Allowable stress of skin shearing
In the third approximation, the skin is subjected to shear stress τ= 197.4MPa, and then:
tension field coefficient
Allowable stress of skin shearing
Wherein, the third approximation and the second approximation obtain relative errors
Meets the requirement, and takes the allowable stress tau of skin shearing * ＝197.1MPa。
Step S103: according to skin shear allowable stress tau * And calculating the shear strength Qmax of the reinforced wallboard, wherein the shear strength Qmax of the reinforced wallboard is obtained according to the following formula (4):
see table 1 for results of the comparison of the shear strength estimates and test values for the following fuselage rivet stiffened panel:
table 1: shear strength estimated value and test value comparison table for fuselage riveting reinforced wallboard
| Estimated value | Test value | Error of |
| 181.74kN | 187.96kN | 3.3％ |
As can be seen from Table 1, the shear strength estimation result and the test result obtained by the method are good in agreement, the error is 3.3%, and the calculation accuracy is high and the method is safe.
The foregoing is merely specific embodiments of the present application, but the scope of the present application is not limited thereto, and any changes or substitutions easily conceivable by those skilled in the art within the technical scope of the present application should be covered in the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.
Claims (1)
1. The method for estimating the shear strength of the reinforced wallboard is characterized by comprising the following steps of:
step one, acquiring the shearing buckling critical stress of the skin of the reinforced panel;
step two, calculating according to the shear buckling critical stress to obtain the shear allowable stress of the skin;
thirdly, calculating the shearing strength of the reinforced wallboard according to the shearing allowable stress;
in the second step, before the step of calculating the allowable shearing stress of the skin according to the critical shearing buckling stress, the method further comprises the following steps:
introducing a tension field coefficient K;
in the second step, the shear allowable stress is obtained according to the following formula (1):
in sigma s Is the tensile yield strength of the skin material; sigma (sigma) b Is the tensile ultimate strength of the skin material; τ b Is the shear yield strength of the skin material; lambda is a correction coefficient; k is a tension field coefficient;
in the second step, λ=1 is used in riveting, λ=0.95 is used in screwing, and λ=1.1 is used in welding and the integral wall plate;
when (when)
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (2):
when (when)
When the tension field coefficient is introduced, the tension field coefficient is obtained according to the following formula (3):
wherein τ is the shear stress to which the skin is subjected; τ cr H is the frame spacing for shear buckling critical stress;
in said step two, the shear allowable stress τ of the skin * Obtained by adopting a successive approximation method, and the relative error meets the following requirements
In the third step, the shear strength Qmax of the reinforced panel is obtained according to the following formula (4):
wherein t is the thickness of the skin, h is the frame spacing, d is the stringer spacing, and n is the number of stringers.
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Families Citing this family (5)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN111272581B (en) * | 2019-12-31 | 2022-04-01 | 中国航空工业集团公司沈阳飞机设计研究所 | Design method for shear bearing capacity test of titanium alloy section combined wall plate |
| CN111523181B (en) * | 2020-06-16 | 2020-10-23 | 中国飞机强度研究所 | Three-dimensional skin design method |
| CN111948044B (en) * | 2020-07-24 | 2021-11-19 | 中国飞机强度研究所 | Method for predicting failure of stiffened wall panel under combined load action of tension, compression and shear |
| CN112528402B (en) * | 2020-12-04 | 2022-08-19 | 中国航空工业集团公司沈阳飞机设计研究所 | Method for rapidly evaluating stress of stiffened wall plate under action of uniformly distributed loads |
| CN112816323A (en) * | 2020-12-29 | 2021-05-18 | 中国航空工业集团公司西安飞机设计研究所 | Method for judging shear buckling load of body wall plate |
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| CN105197253A (en) * | 2015-08-14 | 2015-12-30 | 中国航空工业集团公司西安飞机设计研究所 | Safety margin calculation method of wing reinforced wallboard |
| CN107423468A (en) * | 2017-04-20 | 2017-12-01 | 南京航空航天大学 | A kind of PRSEUS structure analysis methods based on equivalent method |
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