CN110737992B - Man-machine intelligent interaction system for geometric composition analysis of planar rod system - Google Patents
Man-machine intelligent interaction system for geometric composition analysis of planar rod system Download PDFInfo
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- CN110737992B CN110737992B CN201911004072.2A CN201911004072A CN110737992B CN 110737992 B CN110737992 B CN 110737992B CN 201911004072 A CN201911004072 A CN 201911004072A CN 110737992 B CN110737992 B CN 110737992B
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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- G09B7/00—Electrically-operated teaching apparatus or devices working with questions and answers
- G09B7/02—Electrically-operated teaching apparatus or devices working with questions and answers of the type wherein the student is expected to construct an answer to the question which is presented or wherein the machine gives an answer to the question presented by a student
Abstract
The invention discloses a man-machine intelligent interaction system for analyzing the geometrical composition of a planar bar system, which comprises a question generating module, an unnecessary constraint removing module, a binary body removing module, a rigid piece combining module, a system analysis result selecting module and an analysis submission scoring module, wherein a user selects a corresponding bar, a rigid piece and a support in a geometrical model of the planar bar system, executes corresponding analysis through the unnecessary constraint removing module, the binary body removing module and the rigid piece combining module, then selects an analysis result in the system analysis result selecting module, and finally gives evaluation of an analysis process through the analysis submission scoring module. The effect is as follows: the system platform can integrate a large number of typical example questions, a user can directly use the mouse to perform graphic operation on the mechanical model, the use is simple, the user analyzes each operation process and is recorded by the system, the correctness of the operation in the step is automatically judged, feedback is performed according to needs, the degree of freedom of the user is extremely high, the user can operate by mistake, and the training effect is good.
Description
Technical Field
The invention relates to an intelligent teaching technology, in particular to a man-machine intelligent interaction system for geometrical composition analysis of a plane bar system in the teaching fields of structural mechanics and engineering mechanics.
Background
The geometric composition is an important basic content in the structural analysis of the rod system, and mainly researches the geometric variability of the rod system and the structural rules of the rod system. The variability of a concept decision system and the statics of a structure are the basis of static equation establishment and statics structure analysis, are closely related to the analysis thinking of the statics structure, and can determine the calculation sequence and the calculation amount of the rod piece in the balance condition analysis. Meanwhile, the method is also the theoretical basis of basic structure and basic system selection during the calculation of the hyperstatic structural force method.
At present, students are required to be skilled in learning relevant contents of geometric composition analysis in the course outline and subject knowledge learning, and a large amount of exercises are required during learning due to complexity and variability of system construction. In the exercise process, a traditional manual operation mode needs to draw a diagram for auxiliary explanation of an analysis method; if the problem analysis process is wrong or the analysis mode is repeatedly changed, even if only the sketch is sketched, the workload of repeated drawing is large. And the accuracy of the hand-drawn graph is insufficient, and if the virtual hinge positioning is determined, drawing errors influencing an analysis conclusion are easy to occur. For students, the working time is mostly spent on graphic drawing, and the effective time for concept analysis is substantially short. Therefore, the learning process and the concept grasping need do not correspond to the exercise time consumption.
The existing teaching analysis software does not support a man-machine interaction operation mode, can only directly judge that the conclusion is correct or only give an analysis result and a final conclusion, and cannot provide sufficient and effective training opportunities for students.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a man-machine intelligent interaction system for analyzing the geometrical composition of a planar bar system, which forms a geometrical analysis model of the planar bar system by embedding questions, data input or interactive model input; the intelligent analysis platform controls the analysis mode by the user, forms an operation report and can perform process evaluation in real time.
In order to achieve the purpose, the invention adopts the following specific technical scheme:
a human-computer intelligent interaction system for geometrical composition analysis of a planar bar system is characterized by comprising:
a topic generation module: automatically generating a test question and a corresponding plane rod system geometric model through an input data file;
redundant constraint removal module: the device comprises a chain rod removing instruction control, a rod end hinge changing instruction control, a rigid joint removing instruction control and a support constraint releasing instruction control;
a binary removal module: the binary system comprises a binary body selection instruction control and a binary body removal instruction control;
rigid piece merging module: the method comprises a rigid piece object selection instruction control, a virtual hinge/chain rod selection instruction control and a rigid piece combination confirmation control;
a system analysis result selection module: the system comprises a geometric invariant system selection module, a geometric variable system selection module and a redundant constraint number selection module;
an analysis submission scoring module: the system is used for recording the analysis process of a user and generating a job report;
and selecting corresponding rods, rigid plates and supports in the plane rod system geometric model by a user, executing corresponding analysis through the redundant constraint removal module, the binary body removal module and the rigid plate combination module, selecting analysis results in the system analysis result selection module, and finally giving evaluation of an analysis process by the analysis submission scoring module.
Optionally, after the support constraint releasing instruction control is clicked, the system generates three selection buttons of horizontal removal, vertical removal and rotary removal and a confirmation button, and after a user clicks the corresponding selection button and clicks the confirmation button, the system releases the support constraint in a corresponding manner.
Optionally, the fault-tolerant operation selection module is included, and a fault-tolerant allowing mode and a fault-tolerant not allowing mode are set; in the fault tolerance allowing mode, if the object selected by the user or the clicked button does not conform to the relevant attributes of the current plane bar system geometric model, the system records error operation and acquiesces the user to continue the follow-up action; in a fault-tolerant mode, if the user selected object or the clicked button does not conform to the relevant attributes of the current planar bar system geometric model, the system gives an error prompt directly.
Optionally, after the user clicks the rigid piece object selection instruction control or the virtual hinge/hinge rod selection instruction control, the system determines whether the object selected by the user meets the rigid piece characteristics or the virtual hinge/hinge rod characteristics, and if not, the system generates an error operation record when the user clicks the rigid piece combination confirmation control; if the two pieces of the picture are matched, when the user clicks the just piece combination confirmation control, the system carries out combination according to the hinged triangle principle.
Optionally, the analysis submission scoring module scores the analysis process of the user using a 100-score and gives a final score in generating the job report.
The invention has the following remarkable effects:
the system platform can integrate a large number of typical example questions, and a user directly uses a mouse to perform graphic operation on the mechanical model, so that the system platform is very simple to use and has a good training effect; and the user analyzes each operation process and records the operation process by the system, automatically judges the correctness of the operation in the step and feeds back the operation process according to the requirement. The feedback can be obtained in real time in each operation step, or the error step can be marked after the user finishes the operation, and the score is judged finally after the operation is submitted. Therefore, the system platform can be used for practice in the learning stage, examination or examination, and on-line teaching, forms on-line interaction of a mechanical model, and realizes the real-time performance and the dynamic performance of the on-line teaching interaction of geometric composition analysis.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic diagram of a system platform operating interface in an embodiment of the invention;
FIG. 2-1 is a diagram of an external constraint removal case;
FIG. 2-2 is a schematic view of an external constraint removal operation;
FIGS. 2-3 are schematic diagrams of the outer constraint removed;
FIG. 3-1 is a diagram of a case where node B is to be removed;
FIG. 3-2 is a diagram of node B after removal of unnecessary constraints;
FIG. 4-1 is a binary removal analysis case;
FIG. 4-2 is a schematic representation of the portion of BEC of FIG. 4-1 after removal as a binary;
FIG. 5-1 is a schematic diagram of a model one in an embodiment of the present invention;
FIG. 5-2 is a graph of the results of an analysis of model one in an embodiment of the present invention;
FIG. 6-1 is a schematic diagram of a second embodiment of the present invention;
FIG. 6-2 is a graph of the analysis results of model two in an embodiment of the present invention;
FIG. 7-1 is a case diagram of model three in an embodiment of the present invention;
FIG. 7-2 is a graph of the analysis results of model one analysis mode in an embodiment of the present invention;
FIGS. 7-3 are graphs of the results of a second analysis of the model III in accordance with an embodiment of the present invention;
FIGS. 7-4 are graphs of the results of a third analysis mode of the model in an embodiment of the present invention;
FIGS. 7-5 are graphs of the results of a fourth analysis mode of the model three in an embodiment of the present invention;
FIG. 8-1 is a case diagram of model four in an embodiment of the present invention;
FIG. 8-2 is a graph of the results of a model four analysis in an embodiment of the present invention;
fig. 8-3 are schematic diagrams of the analysis process of model four in the embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in fig. 1, the present embodiment provides a human-computer intelligent interaction system for geometric composition analysis of a planar bar system, including:
a topic generation module: automatically generating a test question and a corresponding plane rod system geometric model through an input data file;
redundant constraint removal module: the device comprises a chain rod removing instruction control, a rod end hinge changing instruction control, a rigid joint removing instruction control and a support constraint releasing instruction control;
a binary removal module: the binary system comprises a binary body selection instruction control and a binary body removal instruction control;
rigid piece merging module: the method comprises a rigid piece object selection instruction control, a virtual hinge/chain rod selection instruction control and a rigid piece combination confirmation control;
a system analysis result selection module: the system comprises a geometric invariant system selection module, a geometric variable system selection module and a redundant constraint number selection module;
an analysis submission scoring module: the system is used for recording the analysis process of a user and generating a job report;
and selecting corresponding rods, rigid plates and supports in the plane rod system geometric model by a user, executing corresponding analysis through the redundant constraint removal module, the binary body removal module and the rigid plate combination module, selecting analysis results in the system analysis result selection module, and finally giving evaluation of an analysis process by the analysis submission scoring module.
Based on the system, a user can automatically judge whether redundant constraints exist in the system according to the diagram; if redundant constraints exist, the redundant constraints are removed; the removal mode system provides four options, namely, removal is carried out in a chain rod mode; secondly, removing the part in a rod end constraint mode; thirdly, removing according to the mode of nodes; and fourthly, removing the support in a mode of redundant constraint. The first three are inner constraint removal and the last is outer constraint removal.
In the implementation process, redundant constraints are divided into two types, namely external constraints, namely a support; the second is internal constraints, namely the links and nodes. When the user operates to remove the redundant constraint, the constraint characteristic of the system is changed.
And removing redundant constraints, and correspondingly adjusting the geometric data, constraint parameters and the like of the structure through a specific algorithm support. In the invention, the constraint is introduced by a way of a treatment method, and the removal of redundant constraint needs to modify the constraint data of the original system.
If the original support node A is a fixed support (as shown in FIG. 2-1), the constraint information is 1(-1, -1, -1), where 1(-1, -1, -1) belongs to the data file representation form, 1 represents a constraint, 0 represents an unconstrained, and the rotation direction constraint of the user is removed by operation of the user (as shown in FIG. 2-2), the constraint information is modified to 1(-1, -1, 0); the system will redraw the stand from the fixed stand to a fixed hinged stand (as shown in figures 2-3) based on the returned constraint information.
As can be seen from fig. 2-2, after the support constraint releasing instruction control is clicked, the system generates three selection buttons of horizontal removal, vertical removal and rotational removal and a confirmation button, and after a user clicks the corresponding selection button and clicks the confirmation button, the system releases the support constraint in a corresponding manner.
Such as a rigid node B (three bar units connected, as shown in fig. 3-1), which is considered to be removed for redundant constraint. After removal, the system forms three independent nodes at the point, the system realizes the new addition of the nodes (except the original node B, two nodes E and F are added) according to the number of units connected by the nodes, the newly added nodes are respectively connected to the rod ends of the original units, and the model diagram after removal is adjusted as shown in fig. 3-2.
After the redundant constraint is removed, the user can judge whether a binary body exists in the system, and if the binary body exists, the binary body can be selected and removed;
binary bodies are a special class of constituents in geometric compositional analysis. According to the binary rule, the removal of the binary from the system does not change the variability of the original system. The elimination of the binary body simplifies the analysis of the object, and the concept of binary body is often used in the analysis of geometric composition.
The binary body can be composed of only two chain rods and connected hinges, or can be composed of chain rods formed by equivalent rigid plate objects, and real hinges and virtual hinges between the chain rods. The system judges the influence of the object on the degree of freedom of the rest part according to the object selected by the user, and determines whether the object is a binary object. As shown in fig. 4-1, BEC is a binary body, which is removed during the analysis process, and does not affect the degree of freedom of the rest of the system; FIG. 4-2 shows a simplified diagram after removal of BEC.
For the rest rod pieces and the support, the user merges the rigid pieces according to the articulated triangle rule; the steel plates, the hinge rods forming the virtual hinge, should be selected separately.
Rigid plates are defined in the system as a geometrically invariant system without redundant constraints, whereas the rods are defined as a geometrically invariant system without redundant constraints and are connected to the rest of the system by only two hinges. Therefore, the rigid plate and the chain bar have the same place and different places, and the system can firstly judge whether the object selected by the user meets the definitions of the rigid plate and the chain bar respectively according to the difference and the identity of the rigid plate and the chain bar.
The user determines the steel sheet and the chain rod, and the system calculates the linear equation of the two hinges of the chain rod according to the relationship between the chain rod and the steel sheet so as to calculate the mutual relationship between the chain rods, whether the mutual relationship is real intersection, extension line intersection or parallel (virtual hinge at infinite distance) to determine whether the principle can be directly applied to the two/three steel sheets to form a hinged triangle. Example one and example three are analysis and determination using the principle of articulated triangles.
In the process, after the user clicks the rigid piece object selection instruction control or the virtual hinge/hinge rod selection instruction control, the system judges whether the object selected by the user meets the rigid piece characteristics or the virtual hinge/hinge rod characteristics, if not, the system generates an error operation record when the user clicks the rigid piece combination confirmation control; if the two pieces of the picture are matched, when the user clicks the just piece combination confirmation control, the system carries out combination according to the hinged triangle principle.
In all the above operation steps, it is necessary to perform correctness judgment for each step of the user operation. If the operation is fault-tolerant operation, the operation result of the user is recorded, the correctness of the operation is judged, and the user is acquiescently allowed to continue the next operation regardless of correctness and errors. If the operation is not fault-tolerant, the user is judged to make mistakes in the step, and a prompt is directly given.
Therefore, the system comprises a fault-tolerant operation selection module and is provided with a fault-tolerant allowing mode and a fault-tolerant not allowing mode; in the fault tolerance allowing mode, if the object selected by the user or the clicked button does not conform to the relevant attributes of the current plane bar system geometric model, the system records error operation and acquiesces the user to continue the follow-up action; in a fault-tolerant mode, if the user selected object or the clicked button does not conform to the relevant attributes of the current planar bar system geometric model, the system gives an error prompt directly.
To quantify the accuracy of the analysis process, the analysis submission scoring module scores the user's analysis process using a 100-score and gives a final score in generating the job report.
Compared with other structure analysis software, the whole process of human-computer interaction participation of the user is realized, the operation mode of the user not only gives a specific result, but also pays more attention to the requirement of active participation of the user, and the training effect can be improved; the degree of freedom of operation is high, allows one-question multiple solution, possesses good learning effect.
To further understand the working principle of the system, the basic functions of the system are demonstrated below by using some typical examples. Each small label (i) in the job file corresponds to one operation of a user, the detailed content and the correctness of the operation, and the system can automatically judge and record.
Model one (as shown in fig. 5-1), corresponding calculation chart (as shown in fig. 5-2), final job file and score evaluation result (as shown in table 1).
Table 1: model-automatically formed job document
Model two (as shown in fig. 6-1), corresponding calculation graph (as shown in fig. 6-2), final job file and score evaluation result (as shown in table 2).
Table 2: operation file formed by automatically forming model II
Model three (as shown in fig. 7-1), corresponding calculation chart (as shown in fig. 7-2-7-5), final job file and score evaluation result (as shown in table 3).
Table 3: job file automatically formed by model three-instance system
Model four (as shown in fig. 8-1), corresponding calculation graph (as shown in fig. 8-2), final job file and score evaluation result (as shown in table 4). The system supports a graphical representation of the virtual hinge formed by the hinge rods (see fig. 8-3), which allows accurate positioning of the virtual hinge that actually intersects, and also allows the direction to be used to represent the direction of the virtual hinge at infinity. The accurate expression of the virtual hinge positioning can assist a user in accurately judging whether the definition of the hinged triangle is met or not in the process of combining the rigid plates in the using process.
Table 4: job file formed by model four-automatically
In conclusion, the man-machine intelligent interaction system for analyzing the geometrical composition of the planar bar system can provide a friendly graphical interface, the analysis operation process and the expression modes of the bar members, the units, the node forms and the support constraint are consistent with the domestic teaching materials, the system operation mode is simple, the corresponding bar members, the steel sheets and the supports are selected by the mouse to be carried out, all the steps can be carried out in a staggered mode, and the operation fault tolerance is high. The concept of the rigid sheet and the chain rod in the geometric composition analysis can be judged by self, and virtual hinges (including virtual hinges at infinity) are accurately formed. The analysis method of the system is completely determined by the user, the user has extremely high degree of freedom, the system can be operated by mistake, and the training effect is good. According to different thinking angles, different analysis modes are allowed, sufficient training contents are provided, and the purpose of completely understanding and mastering basic concepts in a short time can be achieved. Meanwhile, the operation process is stored in a graphic mode, a complete operation report is formed, an error step is marked, and the system judges according to the position, the quantity, the content and the final conclusion of the error. The system can select different error prompt modes according to the learning stage; firstly, if a certain step makes a mistake, the system prompts the reason of the mistake, requires to restart the analysis and forbids to continue the next operation; and secondly, allowing the operation with errors until the user finishes the operation and submits the result, and then prompting the error position by the system. In addition, the system score evaluation is not based on the final result judgment, but is performed in combination with the operation steps. The operation steps are required to have the necessary support for the submitted results to score. Similarly, even if the operation of the first step is wrong, the subsequent steps show the mastery of the concept, and a certain corresponding score can be obtained. Has practical application value for guiding teaching.
Finally, it should be noted that the above-mentioned embodiments illustrate rather than limit the invention, and that those skilled in the art will be able to make many variations without departing from the spirit and scope of the invention as defined in the appended claims.
Claims (4)
1. A human-computer intelligent interaction system for geometrical composition analysis of a planar bar system is characterized by comprising:
a topic generation module: automatically generating a test question and a corresponding plane rod system geometric model through an input data file;
redundant constraint removal module: the device comprises a chain rod removing instruction control, a rod end hinge changing instruction control, a rigid joint removing instruction control and a support constraint releasing instruction control;
a binary removal module: the binary system comprises a binary body selection instruction control and a binary body removal instruction control;
rigid piece merging module: the method comprises a rigid piece object selection instruction control, a virtual hinge/chain rod selection instruction control and a rigid piece combination confirmation control;
a system analysis result selection module: the system comprises a geometric invariant system selection module, a geometric variable system selection module and a redundant constraint number selection module;
an analysis submission scoring module: the system is used for recording the analysis process of a user and generating a job report;
a user selects a corresponding rod piece, a corresponding rigid piece and a corresponding support in the plane rod system geometric model, corresponding analysis is executed through the redundant constraint removal module, the binary body removal module and the rigid piece combination module, an analysis result is selected in the system analysis result selection module, and finally evaluation of an analysis process is given by the analysis submission scoring module;
after a user clicks a rigid piece object selection instruction control or a virtual hinge/hinge rod selection instruction control, the system judges whether an object selected by the user accords with rigid piece characteristics or virtual hinge/hinge rod characteristics, if not, the system generates an error operation record when the user clicks a rigid piece combination confirmation control; if the two pieces of the picture are matched, when the user clicks the just piece combination confirmation control, the system carries out combination according to the hinged triangle principle.
2. The human-computer intelligent interaction system for geometric composition analysis of planar rod systems according to claim 1, characterized in that: after the support constraint releasing instruction control is clicked, the system generates three selection buttons of horizontal removal, vertical removal and rotary removal and a confirmation button, and after a user clicks the corresponding selection button and clicks the confirmation button, the system releases support constraint in a corresponding mode.
3. The human-computer intelligent interaction system for geometric composition analysis of planar rod systems according to claim 1, characterized in that: the fault-tolerant operation selection module is provided with a fault-tolerant allowing mode and a fault-tolerant disallowing mode; in the fault tolerance allowing mode, if the object selected by the user or the clicked button does not conform to the relevant attributes of the current plane bar system geometric model, the system records error operation and acquiesces the user to continue the follow-up action; in a fault-tolerant mode, if the user selected object or the clicked button does not conform to the relevant attributes of the current planar bar system geometric model, the system gives an error prompt directly.
4. The human-computer intelligent interaction system for geometric composition analysis of planar rod systems according to claim 1, characterized in that: the analysis submission scoring module scores the user's analysis process using a 100-score system and gives a final score in generating the job report.
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