CN104933271B - A kind of method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model - Google Patents

A kind of method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model Download PDF

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CN104933271B
CN104933271B CN201510413793.4A CN201510413793A CN104933271B CN 104933271 B CN104933271 B CN 104933271B CN 201510413793 A CN201510413793 A CN 201510413793A CN 104933271 B CN104933271 B CN 104933271B
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ansys
model
apdl
line segment
optical dome
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CN104933271A (en
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薛文慧
王惠
党凡阳
陈婷
陈守谦
张旺
范志刚
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Harbin Institute of Technology
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Harbin Institute of Technology
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Abstract

The invention discloses a kind of method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model, its step are as follows：First, quadratic curve equation is determined, and is translated into functional form；2nd, select independent variable according to the opening direction that establish model and determine the scope of independent variable；3rd, based on APDL write loop command establish density distribution key point；4th, preliminary SPL is formed using B-spline line segment order BSPLINE based on APDL；5th, the fusion of line segment is carried out to the preliminary line transect in step 4；6th, the line segment after being merged in Connection Step five forms plane；7th, mesh generation is carried out to the face formed in step 6；8th, adult is rotated to the FEM model formed in step 7.Method proposed by the invention is solved the problems, such as directly to establish model of a quadric difficulty in ANSYS and compared to the process relatively directly analyzed using user interface, avoids the shortcomings of same class problem repeatedly carries out loading bothersome, laborious, fallibility.

Description

A kind of foundation of ANSYS intermediate gauges quadratic surface optical dome FEM model Method
Technical field
The invention belongs to aero-optical effect research field, is related to a kind of ANSYS intermediate gauges quadratic surface optical dome The method for building up of FEM model.
Background technology
With the rapid development of science and technology, research finds aircraft quadratic surface optical dome in complicated pneumatic thermal environment It is lower that there is the resistance smaller than spherical head-shield and more preferable image quality, thus its aeroperformance is furtherd investigate for instructing to fly The configuration design of device head-shield has great importance, while is also that high-speed aircraft Flow Field outside and head-shield light pass under pneumatic thermal environment Defeated simulation analysis and head-shield heat radiation, which calculates, provides data support.
Quadratic surface optical dome causes the outer of hood material due to effects such as heat transfer and thermal stress under pneumatic thermal environment Shape and optical property are changed, and then influence the infra-red radiation light transmission from target so that high-speed aircraft imaging is visited Examining system is produced to target image as fuzzy, shake, skew and energy attenuation, most has a strong impact on the detection of high-speed aircraft at last Performance.Violent interaction, head-shield temperature liter occur in atmosphere high speed flight between its head-shield and incoming for aircraft Height, optical imagery detection system is set to be in complicated pneumatic thermal environment, this effect is referred to as aircraft optical dome Aerodynamic Heating Effect.Want to analyze the pneumatic fuel factor of quadratic surface optical dome, it would be desirable to first establish its finite element analysis model, Ran Houli Thermal-structure coupled calculating, its pneumatic fuel factor of correspondence analysis are carried out to head-shield with finite element analysis software ANSYS.
Model building module in ANSYS front processors, can directly by user interface establish version compared with It is few.The common only picture spherical head-shield of equal thickness that directly can be modeled using existing modeling tool in ANSYS, it is rectangular More universal, the relatively regular shapes such as body flat board side window, the model spliced for some more complicated face shapes and Multiple Shape, It is relatively difficult that model is directly established in ANSYS.But with the development of science and technology, the head-shield species of aircraft is from spherical upward Quadratic surface (also referred to as conformal), the Multiple Shape splice type (such as sphere taper type) stated, and the direction such as free form surface are developed.Want pair Flow Field outside under aircraft high-speed flight state and its own analyzed, before the correct foundation of finite element analysis model is it Put forward condition.But with the help of not by other such as SolidWorks, Proe, UG correlation modeling software, it is straight in ANSYS Connect that to establish aircraft equal thickness quadratic surface head-shield FEM model, Multiple Shape spelling joint cover FEM model relatively difficult.This Invention propose it is a kind of the bottom-up method for establishing equal thickness quadratic surface head-shield FEM model is used in ANSYS, its Middle established quadratic surface face shape includes ellipsoid shape and paraboloidal.
The content of the invention
In order to solve the problems, such as directly to establish equal thickness quadratic surface FEM model difficulty in ANSYS so that later right Foundation from physical model to FEM model, thermodynamic boundaries condition are calculated in the Thermo-structure experiment of quadratic surface optical dome Loading and to overall thermal-structure coupled calculate realization can be carried out in ANSYS without by other entity moulds Type establishes software, and the invention provides a kind of method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model. It is in the present invention, a kind of using ANSYS-APDL language developments that bottom-up to establish equal thickness quadratic surface optical dome limited The method of meta-model, wherein the quadratic surface optical dome FEM model established includes parabola FEM model and ellipsoid Face FEM model.
The purpose of the present invention is achieved through the following technical solutions：
A kind of method for building up of ANSYS intermediate gauges quadratic surface head-shield FEM model, comprises the following steps：
First, quadratic curve equation is determined, and is translated into functional form
According to the basic parameter of the quadratic surface optical dome FEM model to be established, to its three-dimensional model in X/Y plane Projected, determine interior outside quadratic curve equation in the plane, and be converted into functional form.
In the present invention, the quadratic surface optical dome FEM model established includes two kinds of elliposoidal and paraboloidal Shape, corresponding quadratic curve equation include elliptic equation and parabolic equation.Plane right-angle coordinate is established, obtains establishing Ellipsoid X/Y plane sectional view, as shown in figure 1, according to following elliptic equation：
In formula, a --- oval semi-major axis, b --- oval semi-minor axis.
Bring interior outside particular point data into above-mentioned parameter equation respectively, that is, obtain inside and outside side two part elliptical curve Curvilinear equation.
In order to establish a series of key points in next step, it is necessary to which obtained elliptic parametric equation to be converted into following function shape Formula：
Similarly according to parabola parametric equation：
Y=ax2+b
In formula：A, b are coefficient.
Rectangular coordinate system is established, as shown in Fig. 2 according to given parabola basic fundamental parameter, takes particular point data to bring into In parabolic equation, thus the parabolical curvilinear equation in side inside and outside can determining.
This is arrived, according to the method described above, has succeeded according to given quadratic surface head-shield moulded dimension, has established it in XY Corresponding curvilinear equation on direction, and it is converted into function representation form.
2nd, select independent variable according to the opening direction that establish model and determine the scope of independent variable
Ellipsoid optical dome to be created in the present invention and parabola optical dome opening along Y direction, according to by Ellipse and parabola equation determined by step 1, it is independent variable to select x in the present invention, and y is function.Arrived according to head-shield summit The distance of bottom face, according to functional relation, we can determine that the span of independent variable.
3rd, based on ANSYS-APDL language write loop command establish density distribution key point
In order that the method for establishing curve has generality, the present invention uses described point line method.According to Step 1: step 2 Described content, the present invention in ANSYS using APDL language write loop command establish density distribution key point.In order to protect It is good to demonstrate,prove the SPL slickness obtained, it should take point as much as possible, the independent variable scope according to determined by step 2, at this Taken along the x-axis direction in invention a little at intervals of 0.001.Loop command is write using APDL language in the present invention, by circulation K orders are used to establish a series of key point of spacing in the X-axis direction for 0.001m.Resulting in the present invention ellipse, throw Outside key point is distributed as seen in figures 3-6 in thing line.
4th, preliminary SPL is formed based on ANSYS-APDL language use B-spline line segment orders BSPLINE
In the present invention, for above-mentioned established key point, according to described point line method, using in ANSYS-APDL BSPLINE, * DO are connected key point with * ENDDO orders and form B-spline curves one by one.In the present invention, obtained using mentioned order To first quartile in interior outside ellipse and parabola SPL as Figure 7-8.
5th, the fusion of line segment is carried out to the preliminary line transect in step 4 based on ANSYS-APDL language
In step 4, by using BSPLIN orders, the ellipse and parabola that step 1 is established can be respectively obtained B-spline curves, i.e., the curve being made up of the small line segment of multistage.It is flat in order to more quickly and easily can subsequently be formed using line segment Face, it would be desirable to the fusion of line segment is carried out to the SPL inside and outside oval and parabola.Due to the boolean in APDL In arithmetic operation, the order of line segment addition is not carried out, realizes the connection fusion of multistage line segment in the present invention using LCOMB.It is logical Being used cooperatively for LCOMB, * DO and * ENDDO in ANSYS-APDL is crossed, is realized the company of two kinds of the inner side of curve batten line segments respectively Connect fusion, i.e., before the small line segment of multistage an only line segment formed after the step number complete curve, two kinds Schematic diagram difference after curved segments connection fusion is as shown in figs. 9-10.
6th, plane is formed based on the line segment after being merged in ANSYS-APDL language Connection Step five
Curve inside and outside two kinds of curves is attached respectively using line segment bind command L in the present invention, to this I The areal model closed.Next the line segment in APDL is used to number compression on the line segment in two kinds of models respectively Order is compressed, and then forms corresponding plane by above-mentioned four end to end line segments respectively using the A orders in APDL, Two areal models formed are as depicted in figs. 11-12.
7th, mesh generation is carried out to the face formed in step 6 based on ANSYS-APDL language
In the present invention, it is big to the four edges boundary line progress grid of the areal model of above-mentioned foundation by writing APDL orders Small and mesh generation type control, then using the AMESH order grid divisions in APDL, two after grid division are flat Surface model difference is as illustrated in figs. 13-14.
8th, adult is rotated to the FEM model formed in step 7 based on ANSYS-APDL language
After step 7 has obtained plane limit meta-model, the model is controlled around reference axis by VROTAT orders in APDL Or the straight line of two excessively specific key points rotates certain number of degrees, and then generate final finite element analysis model.Specific rotation Turn the number of degrees should be determined according to realistic model, elliposoidal, the paraboloidal optical dome finite element to be established in the present invention Model is to be rotated by 360 ° what is formed as the part planar FEM model shown in Figure 13-14.If only analyze one therein Point, any angle of rotation 0 ° to 360 ° can be selected to establish model.In the present invention, the ellipsoid shape optics finally established Head-shield and paraboloidal optical dome difference are as shown in figures 15-16.
The advantages of the inventive method, includes the following aspects：
(1) present invention solves the problems, such as directly to establish equal thickness quadratic surface FEM model difficulty in ANSYS so that Later foundation from physical model to FEM model, thermodynamics side are calculated for the Thermo-structure experiment of quadratic surface optical dome The loading of boundary's condition and the realization calculated to overall thermal-structure coupled can be carried out without by other in ANSYS Physical model establishes software.
(2) modeling process overall in the present invention uses ANSYS batch processings (Batch) mode so that the method invented Foundation for quadratic surface optical dome has more flexibility and generality, can only change APDL according to actual conditions during use The partial data of language causes the inventive method to be applied to new operating mode.
(3) method proposed by the invention is avoided same compared to the process relatively directly analyzed using user interface Class problem repeatedly carries out loading the shortcomings of bothersome, laborious, fallibility.
(4) method provided by the present invention establishes process not only for quadratic surface optical dome FEM model, It can be used for the foundation of other complicated rotationally symmetrical models.For other complicated rotationally symmetrical face shapes, this still can be used Threedimensional model projects to plane in invention, and then establishes curvilinear equation, described point line, forms face using closed curve and then revolves again The method for going to body.
Brief description of the drawings
Fig. 1 be plane right-angle coordinate in the ellipsoidal model to be established X/Y plane part elliptical curve synoptic diagram；
Fig. 2 be plane right-angle coordinate in the parabolic model to be established X/Y plane part parabola schematic diagram；
Fig. 3 is the density distribution map of key point on the outside elliptic curve established with APDL orders；
Fig. 4 is the density distribution map of key point on the interior outside elliptic curve established with APDL orders；
Fig. 5 is the density distribution map of key point on the outside parabola established with APDL orders；
Fig. 6 is the density distribution map of key point on the inside and outside side parabola established with APDL orders；
Fig. 7 is interior outside ellipse SPL schematic diagram in first quartile；
Fig. 8 is inside and outside side parabola SPL schematic diagram in first quartile；
Fig. 9 is with the inner side ellipse SPL schematic diagram after APDL orders connection fusion；
Figure 10 is with the inner side parabola SPL schematic diagram after APDL orders connection fusion；
Figure 11 is the areal model using the line segment composition of two curves of interior outside elliptic curve and connection；
Figure 12 is the areal model of the line segment composition of two curves of side parabola and connection inside and outside utilizing；
Figure 13 is to the FEM model schematic diagram after the areal model grid division being made up of elliptic curve；
Figure 14 is to the FEM model schematic diagram after the areal model grid division being made up of parabola；
The elliposoidal optical dome FEM model that Figure 15 is established for index as requested；
The parabolic optical head-shield FEM model that Figure 16 is established for index as requested；
Figure 17 is that the overall flow figure that quadratic surface optical dome FEM model is established is realized in ANSYS.
Embodiment
Technical scheme is further described below in conjunction with the accompanying drawings, but is not limited thereto, it is every to this Inventive technique scheme is modified or equivalent substitution, without departing from the spirit and scope of technical solution of the present invention, all should cover In protection scope of the present invention.
The invention provides a kind of method for building up in ANSYS intermediate gauge quadratic surface optical dome FEM models, Wherein the present invention described in quadratic surface optical dome FEM model include elliposoidal optical dome FEM model with Paraboloidal optical dome FEM model.As shown in figure 17, particular content is described below：
First, outside ellipse or parabolic equation in determining, and it is translated into functional form
In the present invention, our the elliposoidal optical dome sizes to be established are：
Major axis 1=0.2m, draw ratio c=1, head-shield summit to bottom distance d=0.1m, head-shield thickness h=0.005m, and The major axis of the ellipsoidal model is along Y direction.
According to above-mentioned given head-shield basic parameter, plane right-angle coordinate as shown in Figure 1 is established, obtains the ellipsoid In the sectional view of X/Y plane, according to Outboard Sections in figure it is oval we corresponding can obtain on an x-y plane that its outside elliptic equation can It is expressed as：
In formula, a --- oval semi-major axis, b --- oval semi-minor axis, then according to given elliposoidal head-shield basic parameter Understand：A=0.1m, b=0.05mm, outside elliptic equation on X/Y plane can be obtained by carrying it into above-mentioned equation：
In the present invention, selected function is y, independent variable x, so the functional form of above-mentioned equation is：
Be 0.005m according to ellipsoid thickness, we can obtain on the inside of oval semi-major axis a '=0.095m, semi-minor axis b '= 0.045m, so inner side elliptic equation is：
Its functional form is：
In the present invention, the first step for establishing ellipsoid FEM model is exactly to obtain interior outside ellipse side according to the method described above Journey, and convert it into functional form.
Foundation for parabolic equation, it is similar to the process that elliptic equation is established.
In the present invention, our the paraboloidal optical dome sizes to be established are：
Draw ratio c=1, head-shield summit to bottom distance d=0.1m, head-shield thickness h=0.005m, and the paraboloidal light The opening direction of head-shield FEM model is learned along Y direction.
Principle is established according to elliptic equation, parabolical outer inner side equation can be respectively obtained as shown in Figure 2.Outside parabolic Line equation is：
Y=40x2
Inner side parabolic equation is：
Y=0.005+46.9135082x2
This is arrived, according to the method described above, has succeeded according to given quadratic surface head-shield moulded dimension, has established it in XY Corresponding curvilinear equation on direction, and it is converted into function representation form.
2nd, select independent variable according to the opening direction that establish model and determine the scope of independent variable
According to step 1, ellipsoid optical dome to be created in the present invention and parabola optical dome opening are Y side To, therefore it is independent variable to select x in the present invention, y is function.According to the distance on head-shield summit to bottom face, we can determine that The span of independent variable, as shown in figure 1, outside elliptic equation independent variable x span is [0,0.05], medial lateral is ellipse Equation of a circle independent variable x span is [0,0.045].As shown in Fig. 2 outside parabolic equation independent variable x span For [0,0.05], inner side parabolic equation independent variable x span is [0,0.045].
3rd, based on ANSYS-APDL language write loop command establish density distribution key point
In order that the method for establishing curve has generality, the present invention uses described point line method.According to Step 1: step 2 Described content, the present invention in ANSYS using APDL language write loop command establish density distribution key point.In order to protect It is good to demonstrate,prove the SPL slickness obtained, it should take point as much as possible, the independent variable scope according to determined by step 2, at this Taken along the x-axis direction in invention a little at intervals of 0.001.According to equation on the outside of ellipse, in first quartile (because will be rotated by face Three-dimensional finite element model is obtained, so now need to only consider the curve in first quartile) 50 key points will be corresponded to, such as Fig. 3 institutes Show.Similarly, write loop command using ANSYS-APDL language and establish 45 key points corresponding with inner side elliptic equation, such as Shown in Fig. 4.Using same method, 50 and 45 keys corresponding with outside journey in the parabola obtained by step 1 are established Point, the distribution of key point is as seen in figs. 5-6 inside and outside parabola.
4th, preliminary SPL is formed based on ANSYS-APDL language use B-spline line segment orders BSPLINE
For above-mentioned established key point, according to described point line method, ANSYS-APDL BSPLINE, * DO and * are utilized ENDDO orders connect key point and form B-spline curves one by one.In the present invention, in the first quartile obtained using mentioned order The SPL of interior outside ellipse and parabola is as Figure 7-8.
5th, the fusion of line segment is carried out to the preliminary line transect in step 4 based on ANSYS-APDL language
In step 4, by using BSPLIN orders, the ellipse and parabola that step 1 is established can be respectively obtained B-spline curves, i.e., the curve being made up of the small line segment of multistage.It is flat in order to more quickly and easily can subsequently be formed using line segment Face, it would be desirable to the fusion of line segment is carried out to the SPL inside and outside oval and parabola.Due to the boolean in APDL In arithmetic operation, the order of line segment addition is not carried out, realizes the connection fusion of multistage line segment in the present invention using LCOMB.It is logical Being used cooperatively for LCOMB, * DO and * ENDDO in ANSYS-APDL is crossed, is realized the company of two kinds of the inner side of curve batten line segments respectively Connect fusion, i.e., before the small line segment of multistage an only line segment formed after the step number complete curve, two kinds Schematic diagram difference after curved segments connection fusion is as shown in figs. 9-10.
6th, plane is formed based on the line segment after being merged in ANSYS-APDL language Connection Step five
Curve inside and outside two kinds of curves is attached respectively using line segment bind command L in the present invention, to this I The areal model closed.Next the line segment in APDL is used to number compression on the line segment in two kinds of models respectively Order is compressed, and then forms corresponding plane by above-mentioned four end to end line segments respectively using the A orders in APDL, Two areal models formed are as depicted in figs. 11-12.
7th, mesh generation is carried out to the face formed in step 6 based on ANSYS-APDL language
In the present invention, it is big to the four edges boundary line progress grid of the areal model of above-mentioned foundation by writing APDL orders Small and mesh generation type control, then using the AMESH order grid divisions in APDL, two after grid division are flat Surface model difference is as illustrated in figs. 13-14.
8th, adult is rotated to the FEM model formed in step 7 based on ANSYS-APDL language
After step 7 has obtained plane limit meta-model, the model is controlled around reference axis by VROTAT orders in APDL Or the straight line of two excessively specific key points rotates certain number of degrees, and then generate final finite element analysis model.Specific rotation Turn the number of degrees should be determined according to realistic model, elliposoidal, the paraboloidal optical dome finite element to be established in the present invention Model is to be rotated by 360 ° what is formed as the part planar FEM model shown in Figure 13-14.If only analyze one therein Point, any angle of rotation 0 ° to 360 ° can be selected to establish model.In the present invention, the ellipsoid shape optics finally established Head-shield and paraboloidal optical dome difference are as shown in figures 15-16.

Claims (5)

  1. A kind of 1. method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model, it is characterised in that the side Method step is as follows：
    First, quadratic curve equation is determined, and is translated into functional form
    According to the basic parameter of the quadratic surface optical dome FEM model to be established, its three-dimensional model is carried out in X/Y plane Projection, determines interior outside quadratic curve equation in the plane, and be converted into functional form；
    2nd, select independent variable according to the opening direction that establish model and determine the scope of independent variable
    According to the equation determined by step 1, it is independent variable to select x, and y is function, according to head-shield summit to bottom face away from From according to functional relation, determining the span of independent variable；
    3rd, based on ANSYS-APDL language write loop command establish density distribution key point
    Loop command is write using APDL language, a series of key points in the X-axis direction are established using K orders by circulation；
    4th, preliminary SPL is formed based on ANSYS-APDL language use B-spline line segment orders BSPLINE
    The key point established for step 3, according to described point line method, utilize BSPLINE, * DO and * in ANSYS-APDL ENDDO orders connect key point and form B SPLs one by one；
    5th, the fusion of line segment is carried out to the preliminary line transect in step 4 based on ANSYS-APDL language
    By being used cooperatively for LCOMB, * DO in ANSYS-APDL and * ENDDO, realize the company of the inner side of curve batten line segment Connect fusion；
    6th, plane is formed based on the line segment after being merged in ANSYS-APDL language Connection Step five
    Inside or outside of curve both sides curve is attached using line segment bind command L, the areal model closed；Next respectively The line segment numbering compress order in APDL is used to be compressed on the line segment in model, then will be upper using the A orders in APDL State four in model end to end line segments and form corresponding areal model；
    7th, mesh generation is carried out to the face formed in step 6 based on ANSYS-APDL language
    The four edges boundary line for the areal model established by writing APDL orders to step 6 carries out sizing grid and grid is drawn The control of classifying type, then using the AMESH order grid divisions in APDL；
    8th, adult is rotated to the FEM model formed in step 7 based on ANSYS-APDL language
    After step 7 has obtained plane limit meta-model, by VROTAT orders control model in APDL around reference axis or The straight line rotation of two specific key points is crossed, and then generates final finite element analysis model.
  2. 2. the method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model according to claim 1, It is characterized in that in the step 1, the quadratic surface optical dome FEM model established includes elliposoidal and paraboloidal Two kinds of shapes, corresponding quadratic curve equation include elliptic equation and parabolic equation.
  3. 3. the method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model according to claim 1, It is characterized in that in the step 3, take along the x-axis direction a little at intervals of 0.001.
  4. 4. the method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model according to claim 1, It is characterized in that in the step 5, the order of line segment fusion connection uses LCOMB.
  5. 5. the method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model according to claim 1, It is characterized in that in the step 8, areal model number of rotation is 360 °.
CN201510413793.4A 2015-07-15 2015-07-15 A kind of method for building up of ANSYS intermediate gauges quadratic surface optical dome FEM model Expired - Fee Related CN104933271B (en)

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