CN109684693B - Method for predicting post-buckling of reinforced wallboard based on finite element analysis - Google Patents
Method for predicting post-buckling of reinforced wallboard based on finite element analysis Download PDFInfo
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- CN109684693B CN109684693B CN201811518720.1A CN201811518720A CN109684693B CN 109684693 B CN109684693 B CN 109684693B CN 201811518720 A CN201811518720 A CN 201811518720A CN 109684693 B CN109684693 B CN 109684693B
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Abstract
The invention relates to a method for predicting post-buckling of a reinforced wallboard based on finite element analysis, which comprises the steps of firstly carrying out simulation modeling on a reinforced wallboard shearing test piece, and carrying out linear buckling analysis to obtain a reinforced wallboard shearing characteristic value buckling mode; before nonlinear buckling analysis is carried out, the first-order buckling mode vector of the reinforced wallboard is normalized, a defect base vector is multiplied to obtain a defect offset vector, forced node displacement is applied through an SPCD model data card, and defects of an examination area are introduced into a complete reinforced wallboard structure in the form of updating unit node coordinates; the method comprises the steps of considering the large disturbance degree and the plastic effect of the post-buckling of the reinforced wallboard, performing post-buckling calculation on the structure, predicting the bearing capacity of the reinforced wallboard through a load-displacement curve from the beginning of the forced deformation to the post-buckling damage process of the structure of a load application point, and verifying the accuracy and the engineering feasibility of the method through test results; by using the method provided by the invention, physical tests are reduced, and the method has important significance in reducing test cost and risk.
Description
Technical Field
The invention belongs to the field of aviation structure design, and particularly relates to a method for predicting post-buckling of a reinforced wallboard based on finite element analysis.
Background
The reinforced wallboard is an important bearing structure of the aircraft, under the conditions that the ship-borne aircraft impacts and the civil aircraft takes off and land, the shear stress born by the skin is larger than the critical shear stress, at the moment, the skin starts to be unstable, the skin can still bear the increased external load after being unstable due to the existence of the wallboard reinforcing ribs, but the internal force is redistributed, the number of unstable waves is increased and tends to be regular, and finally buckling damage after shearing can occur. When the aircraft flies with large overload, axial compressive load of the reinforced panel tends to peak, and the panel can buckle or even break. At present, the calculation of the buckling characteristics of the reinforced wallboard in engineering is still in an initial buckling stage, and the post-engineering buckling calculation method which needs to consider the large disturbance degree and the plastic effect is still immature. The calculation of the post-buckling of the reinforced wallboard in the current aircraft design is always a difficult problem in the design field, the post-buckling of the reinforced wallboard interweaves material nonlinearity and geometric nonlinearity, and the classical elastic stability theory cannot be solved. The half-theoretical half-test method combining the theory and the test developed later is convenient to apply in engineering, but the bearing capacity can be predicted to be higher due to neglecting certain failure modes or lower due to considering buckling as a damage.
Disclosure of Invention
The purpose of the invention is that: a method for predicting post-buckling of a reinforced wallboard based on finite element analysis is designed to solve the technical problems of low structural efficiency caused by high cost, long time, high risk and low precision in an engineering calculation method in the existing physical test.
In order to solve the technical problem, the technical scheme of the invention is as follows:
a method for predicting post-buckling of a stiffened panel based on finite element analysis, the method for predicting post-buckling of a stiffened panel based on finite element analysis mainly comprises the following steps:
1. simulation modeling is carried out on the reinforced wallboard shear test piece based on finite element analysis software;
2. carrying out linear buckling solution by using a finite element analysis software solver;
3. adopting a consistent defect mode method, programming, and introducing a linear buckling result of a displacement field of the examination area as disturbance into a model;
4. combining material/geometry dual nonlinearity to simulate the large disturbance degree and plastic effect, calling a nonlinear solver, and performing post-buckling calculation on the structure by adopting an arc length method to obtain a calculation result file;
5. and extracting load and displacement calculation results to obtain a load-displacement curve from the moment of starting the forced deformation of a load application point to the structural post-buckling failure process, and obtaining the post-buckling ultimate bearing capacity.
In the step 1, when the reinforced wallboard is subjected to simulation modeling, the method specifically comprises the following steps: under shearing load, at least 5 nodes are selected for each half wave; under compressive load, at least 3 nodes are selected per half wave.
And in the step 2, at least a first-order instability mode is solved when linear buckling is solved.
The step 3 specifically comprises the following steps:
1) Manually programming and extracting a displacement field of the first-order destabilization mode assessment area;
2) Applying a displacement field in the form of a data card to serve as an initial defect, and displaying an initial defect form explicitly;
the step 4 specifically comprises the following steps:
1) Adding a nonlinear constitutive model of the material, and inputting nonlinear stress strain data;
2) And taking large deformation into consideration, calling a nonlinear solver to perform post-buckling calculation on the structure, and obtaining a calculation result file.
The step 5 specifically comprises the following steps:
1) Importing the result file into finite element analysis software, and drawing a load-displacement curve of a loading point to obtain a limit load;
2) And extracting calculation results of the load and the displacement, and drawing a load-strain curve of the key position of the assessment area to obtain a limit load and a damage process.
The invention has the technical effects that:
the invention calculates the post-buckling bearing capacity of the reinforced wallboard by adopting a consistent mode defect method based on finite element software.
1. Steps and methods for predicting bearing capacity using finite element software are presented;
2. applying the initial disturbance form in a forced displacement form, and displaying explicitly;
3. the method for predicting the bearing capacity through the software is provided, and the physical test cost is greatly saved.
The method for predicting the post-buckling of the reinforced wallboard based on the finite element software has important significance in the design of the aircraft wing wallboard, reducing physical tests, improving the design efficiency, shortening the design period and reducing the test cost by adopting virtual tests based on early test data.
Drawings
FIG. 1 is a schematic flow chart of the method of the present invention;
FIG. 2 is a detailed flow chart of an embodiment of the method of the present invention;
FIG. 3 is a front view of a test piece of the method of the present invention
FIG. 4 is a cross-sectional view of a test piece of an embodiment of the method of the present invention;
FIG. 5 7150-T7751 sheet stress-strain curve;
FIG. 6 is a load-displacement graph of the load end of the stiffened panel;
wherein, 1 is an examination area, and 2 is a transition area.
Detailed Description
The method of the invention is described in detail below with reference to the attached drawing figures:
the flow chart of the method of the invention is shown in fig. 1, and the following is a detailed description taking specific examples as examples: in the example, the front view of the test piece is shown in fig. 3, wherein 1 is an examination area, 2 is a transition area, and the specific specification is as follows:
the length of the checking area of the reinforced wallboard shear test piece is 700mm, the checking area of the test piece consists of 4 identical stringer units, and the cross section of each stringer unit is shown in figure 4. The transition area stretches out around the examination area and is used for being connected with the test fixture, and the thickness of the transition area is 10.5mm, and the width is 150mm.
The specific profile parameters are shown in Table 1.
Table 1 section parameters of test pieces
Wherein t is the thickness of the stringer web, t1 and b are the thickness and width of the stringer free flange, respectively, t2 and b1 are the thickness and width of the stringer bottom flange, respectively, h is the stringer height, and R1 are the radius of the radius.
According to fig. 2, a specific flowchart is shown, and a specific calculation method is as follows:
1. simulation modeling is carried out on the reinforced wallboard shear test piece based on finite element analysis software;
in finite element modeling, four-node shell elements are adopted for simulation of the skin and the stringers, and the integral reinforced wall plate, the stringers and the skin are considered to be in joint. In order to better simulate local buckling of the skin, a refined finite element model is adopted. The wavelength of the shear buckling wave is small compared to the compression buckling wave, so a sufficiently dense finite element mesh is required under shear load to simulate a shear instability wave, with at least 5 nodes per half wave.
2. Carrying out linear buckling solution by using a finite element analysis software solver;
and the critical instability load and instability mode of the structure are obtained by extracting characteristic values which enable the stiffness matrix of the linear system to be singular through linear buckling analysis. The mscs.nastran software SOL105 is a linear buckling analysis solving sequence, and is suitable for solving in the ranges of small deformation of a structure, elasticity of unit stress (stress-strain relation is linear) and the like, so that for nonlinear materials and large deformation structures, the linear buckling load and the actual critical load obtained by calculation of the SOL105 have larger difference. And (5) obtaining the bending mode of the shearing characteristic value of the reinforced panel through SOL105 linear bending characteristic value analysis.
3. Adopting a consistent defect mode method, programming, and introducing a linear buckling result of a displacement field of the examination area as disturbance into a model;
before nonlinear buckling analysis is carried out, the first-order buckling mode vector of the reinforced wallboard is normalized and multiplied by the defect base vector 10-3 to obtain a defect offset vector, forced node displacement is applied through an SPCD model data card, and defects of an assessment area are introduced into a complete reinforced wallboard structure in a mode of updating unit node coordinates.
4. Combining material/geometry dual nonlinearity to simulate the large disturbance degree and plastic effect, calling a nonlinear solver, and performing post-buckling calculation on the structure by adopting an arc length method to obtain a calculation result file;
when MSC.Patran defines the elastoplastic constitutive relation of the material, firstly inputting elastic deformation parameters, and defining the constitutive of the material as an elastic model; and designating the constitutive model of the material as elastoplasticity, and calling coordinates input point by point in FIG. 5 by using nonlinear stress strain data through a Field to finish adding the nonlinear constitutive model.
By means of the nonlinear buckling analysis defined by the increment, the influence of material nonlinearity and geometric nonlinearity on structural stability can be simultaneously considered, after the constitutive relation of the material is selected, the LGDISP and other options are activated in the incremental loading analysis, and the program can automatically calculate the contribution of the material nonlinearity to the stiffness matrix on the basis of the geometric nonlinearity.
And calling a MARC nonlinear solver to perform post-buckling calculation on the structure to obtain a calculation result file (x.marc.t16).
5. And extracting load and displacement calculation results, and performing post-buckling calculation on the structure by adopting an arc length method to obtain a load-displacement curve from the moment of starting stressed deformation to the post-buckling damage process of the structure at a load application point, thereby obtaining the post-buckling limit bearing capacity.
The result file marc.t16 is imported into msc.patran, the calculation results of load and displacement are extracted, and the load-displacement curve is drawn as shown in fig. 6. The extreme point of the curve is the bearing capacity of the post-buckling limit.
The comparison analysis of the test result and the finite element prediction result is introduced below, and the correctness and feasibility of the finite element analysis result are verified. Plays an auxiliary role.
The 3 reinforced panel shear test pieces of the parameters in table 1 were tested, the buckling load test and the finite element result are shown in table 2, the breaking load test and the finite element result are shown in table 3, and the average value of the test load is shown.
Table 2 comparison of buckling load test with finite element results
TABLE 3 test of breaking load and comparison of finite element results
The first column in the table corresponds to the test piece number, P TEST For the test piece load, i.e. test value, P FEA For the finite element calculated value, ε is the error of the finite element calculated value relative to the experimental value:
ε＝(P TEST -P FEA )/P TEST ×100％
therefore, the errors of the initial buckling load, the breaking load and the test value of buckling after shearing of the reinforced wall plate calculated by adopting the finite element are within 5 percent, the average error of the initial buckling load and the test load obtained by the finite element simulation calculation is 1.25 percent, and the average error of the breaking load is 2.4 percent. The comparison of the calculated and test values of the strain versus load step curve at the center point of the panel test area is shown in FIG. 6.
Claims (3)
1. A method for predicting post-buckling of a stiffened panel based on finite element analysis, comprising: the method for predicting the post-buckling of the reinforced wallboard based on finite element analysis mainly comprises the following steps of:
1.1, carrying out simulation modeling on a reinforced wallboard shear test piece based on finite element analysis software;
when finite element modeling is carried out, four-node shell elements are adopted for simulating the skin and the stringer, and the stringer and the skin are in joint;
the simulation modeling of the reinforced wallboard is specifically as follows: under shearing load, at least 5 nodes are selected for each half wave; under compression load, at least 3 nodes are selected for each half wave;
1.2, carrying out linear buckling solution by using a finite element analysis software solver; at least solving a first-order instability mode when solving linear buckling;
1.3, adopting a consistent defect mode method to program, and introducing a linear buckling result of a displacement field of the examination area into a model as disturbance; introducing defects of the assessment area into the perfect reinforced wallboard structure in a mode of updating unit node coordinates;
1.4, combining material/geometry dual nonlinearity to simulate the large disturbance degree and plastic effect, calling a nonlinear solver, and performing post-buckling calculation on the structure by adopting an arc length method to obtain a calculation result file; the method comprises the following steps:
adding a nonlinear constitutive model of a material;
taking large deformation into consideration, invoking a nonlinear solver to perform post-buckling calculation on the structure to obtain a calculation result file;
and 1.5, extracting load and displacement calculation results to obtain a load-displacement curve from the start of forced deformation of a load application point to the buckling failure process after the structure, and obtaining the post buckling ultimate bearing capacity.
2. The method of predicting post-buckling of a stiffened panel based on finite element analysis of claim 1, wherein: the step 1.3 specifically comprises the following steps:
4.1, manually programming to extract a displacement field of the first-order destabilization mode examination area;
and 4.2, applying a displacement field in the form of a data card to serve as an initial defect, and displaying the initial defect form explicitly.
3. The method of predicting post-buckling of a stiffened panel based on finite element analysis of claim 1, wherein: the step 1.5 specifically comprises the following steps:
6.1, importing the result file into finite element analysis software, and drawing a load-displacement curve of a loading point to obtain a limit load;
and 6.2, extracting calculation results of the load and the displacement, and drawing a load-strain curve of the key position of the assessment area to obtain a limit load and a damage process.
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