CN108830000A - A kind of carrier rocket structural finite element analysis method for visualizing based on VTK - Google Patents

A kind of carrier rocket structural finite element analysis method for visualizing based on VTK Download PDF

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CN108830000A
CN108830000A CN201810666476.7A CN201810666476A CN108830000A CN 108830000 A CN108830000 A CN 108830000A CN 201810666476 A CN201810666476 A CN 201810666476A CN 108830000 A CN108830000 A CN 108830000A
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CN108830000B (en
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贺媛媛
郭达维
刘莉
王强
袁赫
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Beijing Institute of Technology BIT
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Abstract

A kind of carrier rocket structural finite element analysis method for visualizing based on VTK disclosed by the invention, more particularly to a kind of C# and the united carrier rocket structure finite element modal analysis result method for visualizing of VTK, belong to carrier rocket structural finite element analysis visualization field.The present invention obtains and stores in respective class related data by reading carrier rocket finite element model file, Finite element analysis results file, to realize control of the user for Mode Shape animation, four coefficient ks 1, k2, k3 and k4 are arranged;It then creates painting canvas or calls all figures in correlation function clear canvas, by recycling the continuous function for calling drafting carrier rocket model and the function for removing all figures on painting canvas to show Mode Shape animation, until cycle-index reaches default value;This method can provide strong support for the application of the structure design, vibration control, loading analysis of carrier rocket structure etc., solve corresponding field Practical Project technical problem.

Description

A kind of carrier rocket structural finite element analysis method for visualizing based on VTK
Technical field
The present invention relates to a kind of carrier rocket structural finite element analysis method for visualizing more particularly to a kind of C# and VTK (can Depending on changing kit The Visualization Toolkit) united carrier rocket structure finite element modal analysis result is visual Change method belongs to carrier rocket structural finite element analysis visualization field.
Background technique
For carrier rocket as a kind of aircraft that all kinds of space devices are sent into space, it mainly includes arrow that structure, which is constituted, Body, power plant system and control system etc..Wherein, matrix of the rocket body as carrier rocket, for the weight of carrier rocket The property wanted is self-evident.So it is very necessary to carry out a series of analyses for rocket body structure.And wherein, model analysis is as research One of method of structural dynamic characteristic is mainly used for analyzing intrinsic frequency, the damping when modal parameters such as Mode Shape.Utilize mould State analysis method obtains each rank primary modal characteristic of the carrier rocket structure in a certain frequency range, can be to transporting in this frequency range The actual vibration response that rocket structure generates under the various load effects of outside or inside is carried to be predicted.So model analysis It is particularly significant for carrier rocket structure dynamic design and carrier rocket equipment fault diagnosis.
Visualization in scientific computing (referred to as visualizes, English is Visualization in Scientific Computing, abbreviation VISC) it is an important research direction in computer graphics, it is the forward position neck in figure science Domain.
The basic goal of visualization in scientific computing is that will calculate obtained mass data by experiment or numerical value to change adult The computer picture that can experience of vision, since image can organically carry out a large amount of abstract data tissue, and energy Content represented by vivid ground display data and the correlation between them so that people need not again directly facing by The complicated form of boring number composition and the case where be difficult to find inherent law, help people directly to grasp complicated complete Office, and then preferably law of cognition.
Visualization in scientific computing combines graphic and image understanding technology, can understand and be sent into computer Image data also can generate figure among complicated multidimensional data.It is related to following mutually independent several fields:Meter Calculation machine graphics, interaction technique, computer vision, CAD and image procossing etc..In fact, visualization at present Technology not only is used to show the intermediate result and final result of scientific algorithm, and is also used to the aobvious of engineering calculation and measurement data Show.
It can to sum up obtain, visualization in scientific computing provides biggish convenience for the scientific research in many fields, The working method of pertinent art is not only changed, is also effectively improved work efficiency and work quality, it may be said that its It is to change research work in all directions.
Visualization in scientific computing, which is one, has the characteristics that the process of procedure, wherein contain filtering, mapping, drafting and Several important links such as feedback.
Although the basic process of visualization in scientific computing is mainly made of aforementioned four link, in practical applications, The above process iterates, such as filters the information for needing to extract in link, maps most preferably reflecting in link Penetrating relationship etc. and being required to multiple iteration can just determine.
Finite element method starts to be applied to aerospace field from nineteen fifties to solve dependency structure Computational problem, be widely used by engineering circles at present.With the hair of Finite element analysis results visualization technique and research It opens up, in finite element analysis under the promotion of generated mass data, many grinding as analysis approach using finite element method Visualization in scientific computing method has all been generallyd use in studying carefully.Some large sizes equally all use finite element using class finite element software Analysis science calculation visualization method, the most famous in aerospace field, the above-mentioned type software navigated by American National Empty space agency (NASA) presides over the NASTRAN software of exploitation, with high software reliability, outstanding Software Quality, mark Quasi- input/output format and Open architecture, software function and throughput and be widely recognized as, improve scientific research people The working efficiency of member, the PATRAN of the forward and backward processor of finite element as NASTRAN software is one open, multi-functional Three-dimensional MCAE software package.
As nearly ten years, as Space Industry is continued to develop towards commercialized trend, some aerospace enterprise groups are all being sought It asks and relevant R&D process is subjected to further research to achieve the purpose that optimization design and control cost.But so far, still There is not the visualization in scientific computing technique study only for carrier rocket structural finite element analysis, even PATRAN software package, Although its visualization that can satisfy carrier rocket structural finite element analysis, it is thick for the rendering effect of finite element model It is rough, and since the portability of PATRAN software is limited, so that software platform is sufficiently complex for the calling of the software, and then just It cannot achieve a series of flexible expansion applications.And as one kind more important in aircraft, it is reasonable to think for delivery The studies above of rocket has certain values, and can apply to engineering practice relevant to carrier rocket.
Summary of the invention
For following technical problems present in carrier rocket structural finite element analysis result visualization field:(1) for mould Finite element unit rendering effect really degree is poor in type;(2) Mode Shape animation display effect is excessively coarse, causes to be not easy to The Analysis Mode vibration shape;(3) it is not easy to be integrated in carrier rocket structural finite element analysis software platform.One kind disclosed by the invention Carrier rocket structural finite element analysis method for visualizing technical problems to be solved based on VTK are:One kind is provided to deliver fire Model rocket type is to draw entity, using finite element model file and finite element modal analysis destination file as input data, is shown The method of each rank Mode Shape animation of the model, has the following advantages that:(1) make shown carrier rocket model from structural point Meet engineering discipline requirement, while this method is truer for the rendering effect of node, beam element and shell unit, has more For apparent comparison of light and shade;(2) vector field animation Mode Shape animation generated can be by the control of user, display effect essence Carefully, it can be used in the Analysis Mode vibration shape;(3) it is easy to be called, is integrated in carrier rocket structural finite element analysis software platform.
A kind of carrier rocket structural finite element analysis method for visualizing based on VTK disclosed by the invention is transported by reading Rocket finite element model file, Finite element analysis results file are carried, related data is obtained and store in respective class, is used to realize Four coefficient ks 1, k2, k3 and k4 are arranged in control of the family for Mode Shape animation.Then newly-built painting canvas or the related letter of calling All figures in number clear canvas, by recycling the constantly function of calling drafting carrier rocket model and removing institute on painting canvas There is the function of figure to show Mode Shape animation, until cycle-index reaches default value.This method can be carrier rocket knot The application of the structure design of structure, vibration control, loading analysis etc. provides strong support, solves corresponding field Practical Project Technical problem.
A kind of carrier rocket structural finite element analysis method for visualizing based on VTK disclosed by the invention, including following step Suddenly:
Step 1:Carrier rocket finite element model file, Finite element analysis results file are read, is obtained and in respective class Store related data.
Step 1 concrete methods of realizing includes the following steps:
File corresponding to carrier rocket finite element model due to types of models difference and mainly include three kinds of data lattice Formula, three kinds of data formats are respectively .bdf file corresponding to quality-beam model, the text of .bdf corresponding to quality-beam-shell model The reference format of part and .f06 file, the data of three kinds of formats are quality-beam carrier rocket model finite element number respectively According to the model analysis knot of file, quality-beam-shell carrier rocket model finite element data file and carrier rocket finite element model Fruit file.By above-mentioned three kinds of formatted datas be respectively placed in function used in the class corresponding to it include OpenText, Peek, ReadLine, Contains, Substring, int.Parse, double.Parse and Close.
In the data include node data, beam element data and beam element attribute data three types data, The data of above-mentioned three types will be respectively placed in CGrid class, CBar class and CPbarl class.It reads corresponding to beam model .bdf file data when used method, include the following steps:
Step 1.1.1:The file of input is utilized using the OpenText function for being used to open corresponding document in C# function library Open corresponding data file in path.
Step 1.1.2:The Peek function return whether file terminates is read using to for inspection institute in while statement Value is judged the progress to maintain the circulation.In the cycle, first with the ReadLine function for reading current line A line model data is read, later using Contains the or Substring function differentiated to character for being read at present N characters are judged before taking in row from left to right.When above-mentioned n-bit character contains node data keyword " GRID " or beam element number It when according to keyword " CBAR ", is instantiated using by class corresponding to such data, hereafter uses Substring function by dependency number The form of character string is read in accordingly, finally by character string data by type trans form function int.Parse or Double.Parse function translation type is put into the class of storage node data or beam data, that is, continues to recycle.If on and It states n-bit character and contains inter-bank node data keyword " GRID* " or beam element attribute data keyword " PBARL ", then it must be first A part of data are read in the form of character string according to the method for using ReadLine function to read a line model data, hereafter again The remaining data of next line is read in using ReadLine function, data is read in the form of character string again later, by all data Type is put into corresponding class after being converted, that is, is recycled, until reading to model data file tail.
Step 1.1.3:After step 1.1.2 circular flow, i.e., using the Close letter for closing currently-read file Number closes the data file, and reading process terminates.
Step 1.2.1:Corresponding data file is opened using the file path of input using OpenText function.
Step 1.2.2:The progress to maintain circulation is judged using return value of the while statement to function, works as reading When n-bit character contains " GRID ", " CBAR ", " GRID* " or " PBARL " respectively from left to right in row, using will be corresponding to such data Class instantiation, hereafter related data is read in the form of character string using Substring function, finally by character string type number According to by type trans form function int.Parse or double.Parse function translation type, it is put into storage node data or beam number According to class in, and when reading in that m characters contain shell unit data key words " CQUAD4 " from left to right in row, using by such data Corresponding CQuad class instantiation, is hereafter read in related data using Substring function, finally in the form of character string It by character string data by int.Parse or double.Parse function translation type, and is put into class, that is, continues to follow Ring, until reading to model data file tail.
Step 1.2.3:After step 1.2.2 circular flow, i.e., the data file is closed using Close function, read Process is taken to terminate.
Step 1.3.1:Corresponding data file is opened using the file path of input using OpenText function.
Step 1.3.2:Corresponding data file is opened using the file path of input using OpenText function.? The progress of the circulation is maintained in while statement using being judged Peek function return value.In the cycle, first with ReadLine function reads a line result data, later using Contains or Substring function for reading row at present In character judged.When containing first step mode data initial character " NO.1 " in the row, then two row data are read, hereafter Into another while statement, judge in the sentence for reading first character from left to right of row, when the character is It when space, is instantiated using by class corresponding to such data, hereafter uses Substring function by related data with character string Form read in, character string data is finally put into storage by int.Parse or double.Parse function translation type In the class of Data of Mode, that is, continue to recycle.After the while statement, the value of variable flag is judged, if The value of variable flag is 1, then continues outermost loop.If the value of variable flag is 0, read using ReadLine function Remaining file after four rows reads circular frequency corresponding to first-order modal to every a line in the remaining file after four rows respectively, will Data type is put into the class after having instantiated after being converted.After circular frequency corresponding to first-order modal is read in, variable is remembered The value of flag is 1, that is, continues outermost loop, until reading to result data files tail.
Step 1.3.3:After step 1.3.2 circular flow, i.e., the data file is closed using Close function, read Process is taken to terminate.
Step 2:In order to enable control of the vector field animation Mode Shape animation generated by user, is arranged four coefficients K1, k2, k3 and k4.
Step 2 concrete methods of realizing includes the following steps:
Step 2.1:Define four coefficient ks 1, k2, k3, k4.
For k1 coefficient for making motion vector data normalization, the determination of value depends on all sections corresponding to certain rank mode Maximum value in point motion vector data.The value of k1 coefficient is the inverse of maximum value.
Since the value of k2 coefficient depends on the value of k3 and k4 coefficient, the meaning of latter two coefficient is first introduced.
The value of k3 coefficient is set by user, represents maximum displacement shown in animation relative to carrier rocket size Ratio.
The value of k4 coefficient is the carrier rocket size mentioned when explaining k3 coefficient meaning.Determining each rank Mode Shape When, set k4 coefficient value to the characteristic length of carrier rocket.
The value of k2 coefficient is the product of coefficient k 3 and k4.By the way that four coefficient ks 1, k2, k3, k4 are arranged, actual amplitude is turned Turn to amplitude shown in animation.
Step 2.2:Four coefficient ks 1, k2, k3 and k4 are set.
According to the motion vector data obtained in step 1, all data traversed in CModal class obtain each node In motion vector data maximums rmax, the value of coefficient k 1 is further obtained, as shown in formula (1).
Meanwhile to three motion vector data progress sides and root operation corresponding to the same node in traversal loop, Maximum displacement value corresponding to the node is calculated, each modal displacement is obtained after being compared to the maximum displacement value of each node Most value Rmax
Step 2.2:Acquired carrier rocket characteristic length obtains in the ratio according to set by user and step 2.1 The value of coefficient k 3 and k4, and then calculate the numerical value of coefficient k 2.
Complete setting four coefficient ks 1, k2, k3, k4.
Step 3:All figures on newly-built painting canvas or calling correlation function clear canvas.
Function used in newly-built painting canvas is the New function in vtkRenderer class, and all figures use in clear canvas Function be renderer class in entitled RemoveAllViewProps function.
Step 4:All figures on the function for drawing carrier rocket model and removing painting canvas are constantly called by recycling Function is to show Mode Shape animation, until cycle-index reaches default value.
Since the essence of animation is the continuous refreshing of data flow, as the refreshing of data flow utilizes RemoveAllViewProps function removes all images on current painting canvas, then image corresponding to new data is shown It is shown on painting canvas.It is to refresh the figure on data flow and painting canvas constantly, above-mentioned removing original data institute is right Answer image, draw the operations such as new data corresponding image and be placed in circulation, by four coefficient ks 1 set in step 2, k2, K3, k4 value and in the circulating cycle set carried out with circulation and ever-increasing variable t controls the progress of animation play.
Step 4 concrete methods of realizing includes the following steps:
Step 4.1:All data and node is drawn on painting canvas in traversal CCbar class, CGrid class and CModal class And beam element.
In the function of entitled Generaterocket for drawing carrier rocket model, first in traversal CCbar class All data traverse data all in CGrid class in the traversal loop, find in CCbar class FirstGridID data ID data in identical CGrid class.After finding corresponding node serial number, in traversal CGrid class In all data circulation in, traverse all data in CModal class, find in CModal class with the ID number in CGrid class According to corresponding number data.Hereafter, the motion vector data according to corresponding to the node serial number and at this time for circulation in become The value of t is measured, the shift value of the node at this time is calculated.Shown in the formula such as formula (2) for calculating each node real time position.
Wherein, newpositionx, newpositiony, newpositionz on the left of equal sign are followed successively by the real-time position of node Move the projection in X, Y, Z axis;
Modal.v, modal.v, modal.w of right side of the equal sign are opposite with the introduction above for class and data member It answers, respectively represents Mode Shape displacement component of the node along X, Y, Z axis.
After value in formula (2) on the right side of equal sign is added with three coordinate datas of each node, the real-time of the node is just obtained Coordinate position.Observation type (2), using the trigonometric sine function item multiplied in the formula for calculating real-time displacement value projection value, Each rank Mode Shape of carrier rocket is shown in a manner of simple harmonic oscillation in data plane realization.
Then, using calculated new coordinate place node, using shift value as the attribute data of the node.Together Reason, second endpoint of the beam element namely determination.In addition, in order in the next steps using each modal displacement value as each node Attribute data is shown with cloud atlas, after one node of every placement, all needs the shift value for calculating each node, and utilize relating attribute The InsertTuple1 function of data and geometric data by the node with its corresponding to attribute data it is associated.
In traversal CCbar class in this circulation of all data, after the position of two endpoints of beam element has been determined, Above-mentioned two o'clock is attached using line, constructs beam element.
Step 4.2:Traversal related data simultaneously draws shell unit on painting canvas.
After drawing out beam element using traversal loop, the data in CQuad class are traversed, continue to traverse in the traversal loop All data in CGrid class, this layer traversal in find in CQuad class firstid data, secondid data, ID data in identical CGrid class corresponding to thirdid data and fourthid data.Find corresponding node serial number Afterwards, in the circulation of data all in traversal CGrid class, all data in CModal class is traversed, are found in CModal class Number data corresponding with the ID data in CGrid class.Hereafter, the motion vector data according to corresponding to the node serial number with And at this time in for circulation variable t value, calculate the shift value of the node at this time.Then, node is placed using new coordinate, it will Attribute data of the shift value as the node.After placing four vertex of shell unit using above-mentioned traversal, continuation is being traversed It is operated in this circulation of all data in CQuad class.The content of operation is to be sequentially connected above-mentioned four vertex construction four Side shape, indicates shell unit in the form of quadrilateral space.
In addition, it is similar with step 4.1, for four vertex of each shell unit, the shift value for calculating each node is all needed, And using InsertTuple1 function by the vertex with its corresponding to attribute data it is associated.
Step 4.3:Color cloud picture is shown by attribute data of each node real-time displacement data.
It is certain attribute value according to object that color cloud picture, which draws the color mapping based on the color mapping in VTK, in VTK, Object is coloured, by establishing color lookup table (Lookup Table) and several color being arranged wherein, is being drawn It will be on the color mapping in color lookup table to point or unit when processed.Meanwhile it carrying and generating in vtkLookupTable class The algorithm of cloud atlas only need to call the function of entitled Build in such that can generate cloud atlas.
The specific implementation steps are as follows for step 4.3:
Step 4.3.1:Establish color lookup table.
Using the p kind color in SetTableValue function setup color lookup table, the p kind color be corresponding in turn to by As low as big modal displacement value.Meanwhile color lookup table setting is consistent with mainstream business FEM post-processing software, corresponding position Shifting value from as low as big color change rule be blue-green-yellow-red.In addition, one set by color lookup table The number of color spectrum and color category is adjusted also according to the use habit of user.
Step 4.3.2:Interpolation is carried out in conjunction with all modal displacement data variation ranges and Build function, is transported currently It carries and draws color cloud picture on rocket model.
According to the R obtained in step 2.1maxIt is worth and determines all modal displacement value upper limits of model, has used for determining face The SetScalarRange function of attribute data range corresponding to color look-up table is by the face in shift value bound and step 4.3.1 Color look-up table is corresponding.
Hereafter, use Bulid function using each modal displacement data as attribute data to color corresponding to each node into Row interpolation calculates, and is drawn on color cloud picture on current carrier rocket model after obtaining color corresponding to each node.
Step 4.4:By circulation step 4.1 to 4.3, constantly calls the function for drawing carrier rocket model and remove picture The function of all figures on cloth forms carrier rocket model Mode Shape animation until cycle-index reaches default value.
It further include step 5:Corresponding to the carrier rocket model after finite element analysis is obtained according to above-mentioned steps 1 to step 4 Each rank Mode Shape animation, can be structure design of carrier rocket structure, vibration control, loading analysis etc. using mentioning For strong support, corresponding field Practical Project technical problem is solved.
Beneficial effect:
1, disclosed by the invention a kind of based on VTK's compared with the FEM post-processing software correlation module of current mainstream Carrier rocket structural finite element analysis method for visualizing is especially carrier rocket model by using visual post process Quality-beam-shell model rendering effect is more life-like, and has the potentiality of further improvement observation visual angle, light source position.
2, a kind of carrier rocket structural finite element analysis method for visualizing based on VTK disclosed by the invention, passes through setting Four coefficient ks 1, k2, k3, k4 enable to user to carry out more comprehensive control to the Mode Shape animation of carrier rocket model System, provides convenience from engineering viewpoint for the research for Mode Shape.
2, compared with mainstream FEM post-processing software module, a kind of carrier rocket knot based on VTK disclosed by the invention Structure finite element analysis method for visualizing, by using the method that C# language programs, portability is strong, more easily integration calling, The visualization of Finite element analysis results can also be supported as a part of associated software platforms.
Detailed description of the invention
Fig. 1 is a kind of totality of the carrier rocket structural finite element analysis method for visualizing based on VTK disclosed by the invention Flow chart;
Fig. 2 is the corresponding Data of Finite Element Model tray of quality-beam-shell carrier rocket model in specific embodiment Style example;
Fig. 3 is that carrier rocket model is obtained after finite element software carries out model analysis analysis in specific embodiment Destination file format sample;
Fig. 4 is that flow chart corresponding to node, beam element data file is read in specific embodiment;
Fig. 5 is that flow chart corresponding to shell unit data file is read in specific embodiment;
Fig. 6 is that flow chart corresponding to Finite element analysis results data file is read in specific embodiment;
Fig. 7 is to be used to store UML corresponding to the class for reading the data obtained and its data member in specific embodiment Class figure;
Fig. 8 is the corresponding process relational graph of coefficient set in step 2 in specific embodiment;
Fig. 9 is operational flowchart corresponding to step 4.1 in specific embodiment;
Figure 10 is operational flowchart corresponding to step 4.2 in specific embodiment;
Figure 11 is by using quality-beam-shell carrier rocket model for drawing of this method in specific embodiment;
Figure 12 is by using shell unit in quality-beam-shell carrier rocket model for drawing of this method in specific embodiment Partial enlarged view;
Figure 13 is that this method Mode Shape animation generated, wherein 13a are used in specific embodiment) to 13f) be vibration The interruption screenshot of type animation;
Figure 14 is by using quality-beam-shell carrier rocket model for drawing of PATRAN software in specific embodiment;
Figure 15 is by using quality-beam-shell carrier rocket formwork shell list for drawing of PATRAN software in specific embodiment First partial enlarged view;
Figure 16 is that PATRAN software Mode Shape animation generated, wherein 16a are used in specific embodiment) to 16f) For the interruption screenshot of vibration shape animation.
Specific embodiment
Objects and advantages in order to better illustrate the present invention with reference to the accompanying drawing do further summary of the invention with example Explanation.
Embodiment 1:
In quality-beam employed in the present embodiment-shell carrier rocket model include node, beam element and shell unit, Carrier rocket model and shell unit enlarged drawing are as shown in Figure 11, Figure 12.
A kind of carrier rocket structural finite element analysis method for visualizing based on VTK disclosed in the present embodiment, specific implementation Steps are as follows,
Step 1:Carrier rocket finite element model file, Finite element analysis results file are read, obtain and is stored in class Related data.
In this embodiment, quality-beam-finite element analysis software that the model analysis of shell carrier rocket model uses is NASTRAN software, the format of finite element model file are .bdf file, and the format of Finite element analysis results file is .f06 text Part respectively corresponds second introduced above and the third data format, and specific format sample is respectively such as Fig. 2 and figure Shown in 3.
It reads the model file interior joint, beam element data, shell unit data in reading model file, read destination file The process difference of data is as shown in Figure 4,5, 6.
It is as shown in Figure 7 that class involved in step 1 and its data member correspond to uml class figure.
By this method, the data needed in above-mentioned file are read out and are stored in corresponding class.
Step 2:Four coefficient ks 1, k2, k3 and k4 set in this method are handled, and obtain subsequent step Needed for data, study each rank Mode Shape more easily.
Step 2.1:Four coefficient ks 1, k2, k3 and k4 are defined.
Step 2.2:The numerical value of k1, k2, k3, k4 are set.In this embodiment, according to maximum value method for normalizing, it is The value of number k1 is defaulted as the inverse of all modal displacement vector data maximum values, value 121;Coefficient k 3 is set as 0.1, i.e. phase When maximum displacement is 1/10th of 4 value of coefficient k in Mode Shape animation;Coefficient k 4 is set as the rocket body of carrier rocket model Overall length, value 53;Coefficient k 2 is the product of k3 and k4, value 5.3.
The process flow of coefficient is as shown in Figure 8 in step 2.
In addition, for the real-time displacement for showing each node of carrier rocket model using color cloud picture in the next steps Value, has also determined the most value R of each modal displacement value as attribute data in this stepmax
Step 3:Painting canvas is created using the New function in vtkRenderer class in the present embodiment, is subsequent carrier rocket The drafting of Mode Shape animation is ready with generation.
Step 4:It is constantly called on rendering quality-beam-shell carrier rocket model function and removing painting canvas by recycling The function of all figures is to show Mode Shape animation.
Step 4.1:In the present embodiment, data all in CCbar class, CGrid class and CModal class are traversed simultaneously Node and beam element are drawn on painting canvas.
In the function of entitled Generaterocket for drawing carrier rocket model, pass through time explained before It goes through process and determines related data, become further according to motion vector data corresponding to each node serial number and at this time in for circulation The value of t is measured, the shift value of the node at this time is calculated.Shown in the formula such as formula (3) for calculating each node real time position.
Wherein, coefficient k 1 is maximum value normalization coefficient in the present embodiment;K2 is the product of k3 and k4.It can be in number Each rank Mode Shape that carrier rocket is shown in a manner of simple harmonic oscillation is realized according to level.
Then, using method node described above, and using shift value as the attribute data of the node.It is every to place one After a node, the shift value for calculating each node is all needed, and using the function of entitled InsertTuple1 that the node and its institute is right The attribute data answered is associated.
Finally, being attached above-mentioned two o'clock using line after the position of two endpoints of beam element has been determined, construct The beam element of the carrier rocket model out, process corresponding to step 4.1 are as shown in Figure 9.
Step 4.2:In the present embodiment, shell unit account for entire model ratio it is lower but draw shell unit the step of It is very crucial again for Mode Shape animation.This method will traverse related data and draw shell unit on painting canvas.
Using the data in method traversal CQuad class explained before, continue to traverse CGrid class in the traversal loop In all data, this layer traversal in find and the ID data in identical CGrid class corresponding to data in CQuad class.? Using all data in traversal CModal class, number number corresponding with the ID data in CGrid class in CModal class is found According to.Hereafter, the shift value for calculating the node at this time places node using new coordinate, using shift value as the attribute of the node Data.After placing four vertex of shell unit using above-mentioned traversal, by method described above with quadrilateral space Form indicate shell unit, and using entitled InsertTuple1 function by the vertex to its corresponding to attribute data it is related Connection.
Process corresponding to step 4.2 is as shown in Figure 10.
Step 4.3:Using attribute data as foundation, color cloud picture is shown on quality-beam-shell carrier rocket model.
Step 4.3.1:Establish color lookup table.
In embodiments, the 15 kinds of colors defaulted using function setup this method of entitled SetTableValue, 15 Kind color is corresponding in turn to modal displacement value from small to large, and corresponding shift value is that blue-is green from as low as big color change rule Color-yellow-red.
Step 4.3.2:Interpolation is carried out in conjunction with related data, draws color cloud picture on current carrier rocket model.
In a particular embodiment, according to given data RmaxIt determines all modal displacement value upper limits of model, uses SetScalarRange function is corresponding with color lookup table by shift value bound, reuses Bulid function to each node institute Corresponding color carries out interpolation calculation, and color cloud picture is drawn on to current carrier rocket after obtaining color corresponding to each node On model.
For quality-beam-shell carrier rocket model, although color cloud picture be finally drawn on the beam element of the model with And on shell unit, but as draw color cloud picture foundation attribute data be still to it is associated with each node and cannot be with beam list Member or shell unit association.
Step 4.4:By circulation step 4.1 to 4.3, constantly calls the function for drawing carrier rocket model and remove picture The function of all figures on cloth forms the 5th rank Mode Shape animation of carrier rocket model, until cycle-index reaches present count Value,.
For the 5th rank mode of the carrier rocket model, above method vector field animation such as Figure 13 generated institute is used Show.
Compare Figure 11, Figure 12, Figure 13 and existing FEM post-processing software that the method disclosed in the present is drawn out Figure 14, Figure 15, Figure 16 that PATRAN is drawn out, it can be seen that the carrier rocket structure disclosed in this invention based on VTK Finite element analysis method for visualizing is more life-like for carrier rocket model especially quality-beam-shell model rendering effect.
The corresponding Mode Shape animation of quality-beam-shell carrier rocket model, energy are obtained according to above-mentioned steps 1 to step 4 For carrier rocket structure design and analysis in terms of application strong support is provided, be with a wide range of applications and benefit.
Above-described specific descriptions have carried out further specifically the purpose of invention, technical scheme and beneficial effects It is bright, it should be understood that above is only a specific embodiment of the present invention, being used to explain the present invention, it is not used to limit this The protection scope of invention, all within the spirits and principles of the present invention, any modification, equivalent substitution, improvement and etc. done should all It is included within protection scope of the present invention.

Claims (7)

1. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK, it is characterised in that:Include the following steps,
Step 1:Carrier rocket finite element model file, Finite element analysis results file are read, obtain and is stored in respective class Related data;
Step 2:In order to enable control of the vector field animation Mode Shape animation generated by user, be arranged four coefficient ks 1, K2, k3 and k4;
Step 3:All figures on newly-built painting canvas or calling correlation function clear canvas;
Function used in newly-built painting canvas is the New function in vtkRenderer class, the letter that all figures use in clear canvas Number is the function of entitled RemoveAllViewProps in renderer class;
Step 4:By recycling the function for constantly calling the function for drawing carrier rocket model and removing all figures on painting canvas To show Mode Shape animation, until cycle-index reaches default value;
Since the essence of animation is the continuous refreshing of data flow, as the refreshing of data flow utilizes RemoveAllViewProps Function removes all images on current painting canvas, then image corresponding to new data is shown on painting canvas;To make The figure obtained on data flow and painting canvas can constantly refresh, and by above-mentioned removing original data corresponding image, draw new data The operations such as corresponding image are placed in circulation, by four coefficient ks 1 set in step 2, k2, k3, k4 value and in the circulating cycle Set carried out with circulation and ever-increasing variable t controls the progress of animation play.
2. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as described in claim 1, feature exist In:Further include step 5, obtains the corresponding each rank of the carrier rocket model after finite element analysis according to above-mentioned steps 1 to step 4 Mode Shape animation can provide strong for the application of the structure design, vibration control, loading analysis of carrier rocket structure etc. Support, solve corresponding field Practical Project technical problem.
3. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as claimed in claim 1 or 2, special Sign is:Step 1 concrete methods of realizing includes the following steps,
File corresponding to carrier rocket finite element model due to types of models difference and mainly include three kinds of data formats, three Kind of data format be respectively .bdf file corresponding to quality-beam model .bdf file corresponding to quality-beam-shell model with And the reference format of .f06 file, the data of three kinds of formats are quality-beam carrier rocket model finite element data text respectively The modal analysis result of part, quality-beam-shell carrier rocket model finite element data file and carrier rocket finite element model text Part;By above-mentioned three kinds of formatted datas be respectively placed in function used in the class corresponding to it include OpenText, Peek, ReadLine, Contains, Substring, int.Parse, double.Parse and Close.
4. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as claimed in claim 3, feature exist In:In the data include node data, beam element data and beam element attribute data three types data, above-mentioned three The data of seed type will be respectively placed in CGrid class, CBar class and CPbarl class;Read the text of .bdf corresponding to beam model Used method, includes the following steps when the data of part,
Step 1.1.1:The file path of input is utilized using the OpenText function for being used to open corresponding document in C# function library Open corresponding data file;
Step 1.1.2:In while statement using to for inspection institute read the Peek function return value that whether terminates of file into Row judges the progress to maintain the circulation;In the cycle, it is read first with the ReadLine function for reading current line A line model data, later using Contains the or Substring function differentiated to character for reading row at present In from left to right before n characters judged;When above-mentioned n-bit character contains node data keyword " GRID " or beam element data pass When key word " CBAR ", using by class corresponding to such data instantiate, hereafter using Substring function by related data with The form of character string is read in, and character string data is finally passed through type trans form function int.Parse or double.Parse letter Number translation type, is put into the class of storage node data or beam data, that is, continues to recycle;And if above-mentioned n-bit character contains Inter-bank node data keyword " GRID* " or beam element attribute data keyword " PBARL ", then must be first, in accordance with using The method that ReadLine function reads a line model data reads a part of data in the form of character string, hereafter reuses ReadLine function reads in the remaining data of next line, data is read in the form of character string again later, by all data types It is put into corresponding class, that is, is recycled after being converted, until reading to model data file tail;
Step 1.1.3:It, i.e., will using the Close function for closing currently-read file after step 1.1.2 circular flow The data file is closed, and reading process terminates;
Step 1.2.1:Corresponding data file is opened using the file path of input using OpenText function;
Step 1.2.2:The progress to maintain circulation is judged using return value of the while statement to function, when in reading row When n-bit character contains " GRID ", " CBAR ", " GRID* " or " PBARL " respectively from left to right, using by class corresponding to such data Hereafter related data is read in the form of character string using Substring function, finally leads to character string data by instantiation It crosses type trans form function int.Parse or double.Parse function translation type, is put into storage node data or beam data In class, and when read in row in m characters contain shell unit data key words " CQUAD4 " from left to right when, using by such data it is right The CQuad class instantiation answered, is hereafter read in related data using Substring function in the form of character string, finally by word Serial type data are accorded with by int.Parse or double.Parse function translation type, and are put into class, that is, continue to recycle, Until reading to model data file tail;
Step 1.2.3:After step 1.2.2 circular flow, i.e., the data file is closed using Close function, read Journey terminates;
Step 1.3.1:Corresponding data file is opened using the file path of input using OpenText function;
Step 1.3.2:Corresponding data file is opened using the file path of input using OpenText function;In while language The progress of the circulation is maintained in sentence using being judged Peek function return value;In the cycle, first with ReadLine function reads a line result data, later using Contains or Substring function for reading row at present In character judged;When containing first step mode data initial character " NO.1 " in the row, then two row data are read, hereafter Into another while statement, judge in the sentence for reading first character from left to right of row, when the character is It when space, is instantiated using by class corresponding to such data, hereafter uses Substring function by related data with character string Form read in, character string data is finally put into storage by int.Parse or double.Parse function translation type In the class of Data of Mode, that is, continue to recycle;After the while statement, the value of variable flag is judged, if The value of variable flag is 1, then continues outermost loop;If the value of variable flag is 0, read using ReadLine function Remaining file after four rows reads circular frequency corresponding to first-order modal to every a line in the remaining file after four rows respectively, will Data type is put into the class after having instantiated after being converted;After circular frequency corresponding to first-order modal is read in, variable is remembered The value of flag is 1, that is, continues outermost loop, until reading to result data files tail;
Step 1.3.3:After step 1.3.2 circular flow, i.e., the data file is closed using Close function, read Journey terminates.
5. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as claimed in claim 4, feature exist In:Step 2 concrete methods of realizing includes the following steps,
Step 2.1:Define four coefficient ks 1, k2, k3, k4;
For k1 coefficient for making motion vector data normalization, the determination of value depends on all node positions corresponding to certain rank mode Move the maximum value in vector data;The value of k1 coefficient is the inverse of maximum value;
Since the value of k2 coefficient depends on the value of k3 and k4 coefficient, the meaning of latter two coefficient is first introduced;
The value of k3 coefficient is set by user, represents ratio of the maximum displacement shown in animation relative to carrier rocket size Example;
The value of k4 coefficient is the carrier rocket size mentioned when explaining k3 coefficient meaning;When determining each rank Mode Shape, Set k4 coefficient value to the characteristic length of carrier rocket;
The value of k2 coefficient is the product of coefficient k 3 and k4;By the way that four coefficient ks 1, k2, k3, k4 are arranged, convert actual amplitude to Shown amplitude in animation;
Step 2.2:Four coefficient ks 1, k2, k3 and k4 are set;
According to the motion vector data obtained in step 1, all data traversed in CModal class are obtained in each node Motion vector data maximums rmax, the value of coefficient k 1 is further obtained, as shown in formula (1);
Meanwhile three motion vector data progress sides and root operation corresponding to the same node are calculated in traversal loop Maximum displacement value corresponding to the node out obtains each modal displacement and is most worth after being compared to the maximum displacement value of each node Rmax
Step 2.2:Acquired carrier rocket characteristic length obtains coefficient in the ratio according to set by user and step 2.1 The value of k3 and k4, and then calculate the numerical value of coefficient k 2;
Complete setting four coefficient ks 1, k2, k3, k4.
6. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as claimed in claim 5, feature exist In:Step 4 concrete methods of realizing includes the following steps,
Step 4.1:Traverse CCbar class, data all in CGrid class and CModal class and drawn on painting canvas node and Beam element;
In the function of entitled Generaterocket for drawing carrier rocket model, own in traversal CCbar class first Data traverse data all in CGrid class in the traversal loop, find in CCbar class FirstGridID data ID data in identical CGrid class;After finding corresponding node serial number, in traversal CGrid class In all data circulation in, traverse all data in CModal class, find in CModal class with the ID number in CGrid class According to corresponding number data;Hereafter, the motion vector data according to corresponding to the node serial number and at this time for circulation in become The value of t is measured, the shift value of the node at this time is calculated;Shown in the formula such as formula (2) for calculating each node real time position;
Wherein, newpositionx, newpositiony, newpositionz on the left of equal sign are followed successively by node real-time displacement and exist Projection in X, Y, Z axis;
Modal.v, modal.v, modal.w of right side of the equal sign are corresponding with above for introducing for class and data member, Respectively represent Mode Shape displacement component of the node along X, Y, Z axis;
After value in formula (2) on the right side of equal sign is added with three coordinate datas of each node, the real-time coordinates of the node are just obtained Position;Observation type (2), using the trigonometric sine function item multiplied in the formula for calculating real-time displacement value projection value, that is, exist Data plane realizes each rank Mode Shape that carrier rocket is shown in a manner of simple harmonic oscillation;
Then, using calculated new coordinate place node, using shift value as the attribute data of the node;Similarly, should Second endpoint of beam element namely determination;In addition, in order in the next steps using each modal displacement value as each nodal community Data are shown with cloud atlas, after one node of every placement, all need the shift value for calculating each node, and utilize relating attribute data And the InsertTuple1 function of geometric data by the node with its corresponding to attribute data it is associated;
In traversal CCbar class in this circulation of all data, after the position of two endpoints of beam element has been determined, utilize Above-mentioned two o'clock is attached by line, constructs beam element;
Step 4.2:Traversal related data simultaneously draws shell unit on painting canvas;
After drawing out beam element using traversal loop, the data in CQuad class are traversed, continue to traverse in the traversal loop All data in CGrid class, this layer traversal in find in CQuad class firstid data, secondid data, ID data in identical CGrid class corresponding to thirdid data and fourthid data;Find corresponding node serial number Afterwards, in the circulation of data all in traversal CGrid class, all data in CModal class is traversed, are found in CModal class Number data corresponding with the ID data in CGrid class;Hereafter, the motion vector data according to corresponding to the node serial number with And at this time in for circulation variable t value, calculate the shift value of the node at this time;Then, node is placed using new coordinate, it will Attribute data of the shift value as the node;After placing four vertex of shell unit using above-mentioned traversal, continuation is being traversed It is operated in this circulation of all data in CQuad class;The content of operation is to be sequentially connected above-mentioned four vertex construction four Side shape, indicates shell unit in the form of quadrilateral space;
In addition, it is similar with step 4.1, for four vertex of each shell unit, all need the shift value for calculating each node, and benefit With InsertTuple1 function by the vertex with its corresponding to attribute data it is associated;
Step 4.3:Color cloud picture is shown by attribute data of each node real-time displacement data;
Color cloud picture draw the color mapping based on the color mapping in VTK, in VTK be according to certain attribute value of object come pair Object is coloured, by establishing color lookup table (Lookup Table) and several color being arranged wherein, when drawing It i.e. will be on the color mapping in color lookup table to point or unit;Meanwhile it being carried in vtkLookupTable class and generating cloud atlas Algorithm, only need to call the function of entitled Build in such that can generate cloud atlas;
Step 4.4:By circulation step 4.1 to 4.3, constantly calls the function for drawing carrier rocket model and remove on painting canvas The function of all figures forms carrier rocket model Mode Shape animation until cycle-index reaches default value.
7. a kind of carrier rocket structural finite element analysis method for visualizing based on VTK as claimed in claim 6, feature exist In:The specific implementation steps are as follows for step 4.3,
Step 4.3.1:Establish color lookup table;
Using the p kind color in SetTableValue function setup color lookup table, the p kind color is corresponding in turn to by as low as Big modal displacement value;Meanwhile color lookup table setting is consistent with mainstream business FEM post-processing software, corresponding shift value It is blue-green-yellow-red from as low as big color change rule;In addition, a series of set by color lookup table Color and the number of color category are adjusted also according to the use habit of user;
Step 4.3.2:Interpolation is carried out in conjunction with all modal displacement data variation ranges and Build function, in current delivery fire Color cloud picture is drawn in model rocket type;
According to the R obtained in step 2.1maxIt is worth and determines all modal displacement value upper limits of model, has used for determining that color is looked into The SetScalarRange function of attribute data range corresponding to table is looked for look into shift value bound and the color in step 4.3.1 Look for table corresponding;
Hereafter, Bulid function is used to carry out using each modal displacement data as attribute data to color corresponding to each node slotting Value calculates, and is drawn on color cloud picture on current carrier rocket model after obtaining color corresponding to each node.
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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109858189A (en) * 2019-01-09 2019-06-07 北京蓝箭空间科技有限公司 Carrier rocket loading analysis method
CN110399692A (en) * 2019-07-31 2019-11-01 大连理工大学 The mode screening technique of large-scale strap-on rocket
CN113256791A (en) * 2021-05-24 2021-08-13 南开大学 Holographic augmented reality assisted human-computer interaction diagnosis and treatment system in surgical operation
CN113538687A (en) * 2021-06-08 2021-10-22 广州颖力土木科技有限公司 Finite element visualization method, system and device based on VTK and storage medium

Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100318336A1 (en) * 2009-06-13 2010-12-16 Falangas Eric T Method of modeling dynamic characteristics of a flight vehicle
CN103455645A (en) * 2012-05-31 2013-12-18 北京宇航系统工程研究所 Overall-modal extraction method
CN105631066A (en) * 2014-10-31 2016-06-01 北京临近空间飞行器系统工程研究所 Modal test result-based finite element three-dimensional model modal adjusting method
CN106529055A (en) * 2016-11-18 2017-03-22 南京航空航天大学 Model updating method based on strain modal shape correlation

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20100318336A1 (en) * 2009-06-13 2010-12-16 Falangas Eric T Method of modeling dynamic characteristics of a flight vehicle
CN103455645A (en) * 2012-05-31 2013-12-18 北京宇航系统工程研究所 Overall-modal extraction method
CN105631066A (en) * 2014-10-31 2016-06-01 北京临近空间飞行器系统工程研究所 Modal test result-based finite element three-dimensional model modal adjusting method
CN106529055A (en) * 2016-11-18 2017-03-22 南京航空航天大学 Model updating method based on strain modal shape correlation

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
YUN LI等: "Analysis and research about rocket aeroelasticity", 《 PROCEEDINGS OF 2011 INTERNATIONAL CONFERENCE ON ELECTRONIC & MECHANICAL ENGINEERING AND INFORMATION TECHNOLOGY》 *
徐立黄等: "基于有限元的某多管火箭炮模态分析", 《弹箭与制导学报》 *
林宏等: "运载火箭动特性有限元模型修正技术研究", 《载人航天》 *

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109858189A (en) * 2019-01-09 2019-06-07 北京蓝箭空间科技有限公司 Carrier rocket loading analysis method
CN110399692A (en) * 2019-07-31 2019-11-01 大连理工大学 The mode screening technique of large-scale strap-on rocket
CN110399692B (en) * 2019-07-31 2021-01-15 大连理工大学 Mode screening method of large-scale bundled rocket
CN113256791A (en) * 2021-05-24 2021-08-13 南开大学 Holographic augmented reality assisted human-computer interaction diagnosis and treatment system in surgical operation
CN113538687A (en) * 2021-06-08 2021-10-22 广州颖力土木科技有限公司 Finite element visualization method, system and device based on VTK and storage medium
CN113538687B (en) * 2021-06-08 2024-06-14 广州颖力科技有限公司 Finite element visualization method, system, device and storage medium based on VTK

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