CN111127971B - Intelligent operation system for displacement calculation of rod system structure - Google Patents

Intelligent operation system for displacement calculation of rod system structure Download PDF

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CN111127971B
CN111127971B CN201911157711.9A CN201911157711A CN111127971B CN 111127971 B CN111127971 B CN 111127971B CN 201911157711 A CN201911157711 A CN 201911157711A CN 111127971 B CN111127971 B CN 111127971B
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bending moment
unit
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moment diagram
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CN111127971A (en
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陈名弟
刘毅
文国治
华建民
黄乐鹏
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Chongqing University
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Abstract

The invention discloses an intelligent operation system for calculating the displacement of a rod system structure, wherein a user selects an embedded question or a user-defined question through a question generating control; generating a calculation sketch and a model base map through a graph multiplication displacement calculation control, wherein the calculation sketch is displayed in a graph display area, and the model base map is displayed in an operation area; drawing a load bending moment diagram, reducing and restraining, and adding unit load on the model base diagram, wherein a load bending moment diagram drawing module and a unit bending moment diagram drawing module record related operation processes, load related information into a graphic display area, perform displacement calculation according to the load bending moment diagram and the unit bending moment diagram, and input a calculation result; the system gradually compares and evaluates the operation steps recorded by the load bending moment diagram drawing module and the unit bending moment diagram drawing module according to the input calculation result, and gives an evaluation result. The effect is as follows: the problem bank is rich, the process record is complete, the system evaluates automatically and is suitable for the displacement calculation of the multiplication of the statically determinate structure and the statically indeterminate structure graphs.

Description

Intelligent operation system for displacement calculation of rod system structure
Technical Field
The invention relates to an intelligent teaching technology, in particular to an intelligent operation system for calculating the displacement of a rod system structure in the teaching fields of structural mechanics and engineering mechanics.
Background
The displacement calculation is a basic content in the structural analysis of the rod system, and can be calculated by using a unit load method based on the virtual work principle. The graph multiplication is suitable for displacement calculation of the beam and the rigid frame which mainly bend and deform under the action of load. The displacement calculation has direct and wide application in structural rigidity characteristic, deformation condition and hyperstatic structure calculation, and is the basis of structural static force, dynamic force and stability analysis.
In the current structural analysis or teaching software, the displacement calculation only directly gives out results, such as output deflection, deformation curve and the like; even if some software can list the calculation process, the user cannot participate in the interaction of the calculation process, and the direct training effect cannot be obtained in the use process.
When the unit load method is used, the dummy equilibrium state is free from the deformation coordination condition. Therefore, there is an infinite possibility in theory for the pseudo-equilibrium state of the hyperstatic structure when calculating the displacement. With the same theme, the student may still give many different assignments. Although the result value is unique, the detection and judgment are easy, the judgment on the correctness of the virtual equilibrium state and the corresponding internal force diagram in the question making process is difficult, or the judgment on the mastery degree of the concept of the student by a teacher is influenced: is the student not fully understood the unit load law? Or do the concept of the principles of virtual work not understand sufficiently? Is an internal attempt drawing error? Or just a subsequent graph multiplication computation is in error? Since it is not possible for the teacher to make all possible reference answers. Therefore, for comprehensive calculation-type questions in the mechanics course, even if the answers are unique, the calculation process does not have uniqueness, and the process judgment of the calculation process consumes more energy of teachers.
Disclosure of Invention
In view of the above, the invention provides an intelligent operation system for computing the displacement of a rod system structure, which completely transplants the manual computation process to a computation platform, and dynamically generates structural computation models with different characteristic parameters by embedding questions or inputting data; the user utilizes the graphical interface to operate and carries out the operation according to the basic step sequence of the graph multiplication, and in the drawing and calculating process, according to the requirements of different stages of teaching and learning, the user can not make any inductive prompt and can be ensured to objectively carry out the examination and examination on the learning level of the student; and each operation step can be subjected to correctness judgment in real time, and an error is prompted, so that the training efficiency of a beginner is ensured.
The invention aims at the characteristics of structural displacement calculation and supports a user to input any virtual balance force system for calculation in the operation process. The platform starts from the virtual work principle and the basic concept of the unit load method to judge the correctness and the effectiveness of the platform.
In order to achieve the purpose, the invention adopts the following specific technical scheme:
a rod system structure displacement calculation intelligent operation system is characterized by comprising:
the display module is divided into a result graph display area and an operation area; the display module is also provided with a question generation control and a graph multiplication displacement calculation control, and a user selects an embedded question or a user-defined question through the question generation control; after the title is generated, a user generates a calculation sketch and a model base map through the map multiplication displacement calculation control, wherein the calculation sketch is displayed in the graphic display area, and the model base map is displayed in the operation area;
a load bending moment diagram drawing module: a user draws a load bending moment diagram on the base diagram of the operation area, and the load bending moment diagram drawing module records the operation process of the operation area and loads the operation process into the calculation sketch in the graphic display area;
a unit bending moment diagram drawing module: a user performs reduction and restriction operation on a base map of the operation area and adds required unit load, and the unit bending moment map drawing module records the operation process of the operation area and loads a unit force state calculation model and a unit bending moment map in the graphic display area;
a displacement result input module: the user carries out displacement calculation according to the load bending moment diagram and the unit bending moment diagram and inputs a calculation result;
job delivery evaluation module: and the system gradually compares and evaluates the operation steps recorded by the load bending moment diagram drawing module and the unit bending moment diagram drawing module according to the calculation result input by the displacement result input module, and gives an evaluation result.
Optionally, the result graph display area displays corresponding graph contents according to the calculation model, the load bending moment diagram, the unit load diagram and the unit bending moment diagram.
Optionally, two load adding modes are set in the load bending moment diagram drawing module, including adding according to a node force mode and adding according to a unit force mode, and in the adding mode according to the node force mode, a user selects a node in the model base diagram and selects a node force direction, so that a model under the action of unit force is automatically formed; under the mode of adding according to the unit force, a user selects a unit in the model base map, clicks the force direction of the unit, inputs the position parameters and automatically forms the model under the action of the unit force.
Optionally, the unit bending moment diagram drawing module includes an internal constraint reduction operation and an external constraint reduction operation.
Optionally, the system includes a real-time error detection module, and after the real-time error detection module is started, the system detects each time a user performs one-step operation, and if the error requirement is not met, an error prompt is given.
Optionally, the job submission evaluating module evaluates the job according to a calculation process, wherein the final score is determined in a manner that the load bending moment diagram accounts for 25%, the unit force state accounts for 25%, the unit force bending moment diagram accounts for 25%, and the calculation result accounts for 25%.
The invention has the following remarkable effects:
the system can be simultaneously suitable for the displacement calculation of the multiplication of the statically determinate structure graph and the statically indeterminate structure graph, and the user operation process is completely recorded by the system. The method can automatically judge the correctness of the virtual unit force state given by a user at will, automatically correct the load bending moment diagram and the unit bending moment diagram, and finally check the displacement calculation result. The automatic evaluation technology for processing different calculation processes can enable teachers not to be puzzled by a plurality of different solutions in the problem solving process. The question setting mode of the question is more flexible, and the examination and evaluation of the student are more accurate and effective. No matter on-line teaching or traditional course teaching mode, the teaching platform can effectively assist teachers to detect the learning effect of students in real time, and the system platform can be used for homework practice in the learning stage and also can be used for examination or examination.
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 operating interface in an embodiment of the present invention;
FIG. 2 is a flow chart of model tuning control in an embodiment of the present invention;
FIG. 3 is a flow chart of error detection and score evaluation in an embodiment of the present invention;
FIG. 4 is a graph showing the results of example 1 of the present invention;
FIG. 5 is a graph showing the result of the first solution of example 2 of the present invention;
FIG. 6 is a graph showing the result of a second solution of example 2 of the present invention;
FIG. 7 is a graph showing the result of the third solution of example 2 of the present invention;
FIG. 8 is a graph showing the result of the fourth solution of example 2 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 an intelligent operation system for calculating displacement of a rod system structure, including:
the display module is divided into a result graph display area and an operation area; the display module is also provided with a question generation control and a graph multiplication displacement calculation control, and a user selects an embedded question or a user-defined question through the question generation control; after the title is generated, a user generates a calculation sketch and a model base map through the map multiplication displacement calculation control, wherein the calculation sketch is displayed in the graphic display area, and the model base map is displayed in the operation area; as can be seen from fig. 1, the result graph display area respectively displays corresponding graph contents according to the calculation model, the load bending moment diagram, the unit load diagram and the unit bending moment diagram;
a load bending moment diagram drawing module: a user draws a load bending moment diagram on the base diagram of the operation area, and the load bending moment diagram drawing module records the operation process of the operation area and loads the operation process into the calculation sketch in the graphic display area; during specific implementation, a user calculates the distribution of internal force of bending moment according to the diagram, a load bending moment diagram is drawn, the operation area is double-clicked when the load is finished, and the system stores the load bending moment diagram in the upper right corner of the result graphic area.
A unit bending moment diagram drawing module: the user carries out reduction constraint operation on the base map of the operation area and adds the required unit load, the unit bending moment map drawing module records the operation process of the operation area and loads the unit force state calculation model and the unit bending moment map in the graph display area, in specific implementation, for the hyperstatic structure, the user can carry out reduction constraint operation on the model according to the requirement, the required unit load is added on the base map, and after the load is added, the system automatically stores the unit force state calculation model in the lower left corner of the operation area. The user continues to draw the unit force bending moment diagram, the operation area is also double-clicked after the drawing is finished, and the system stores the unit bending moment diagram to the lower right corner of the result graph area;
a displacement result input module: the user carries out displacement calculation according to the load bending moment diagram and the unit bending moment diagram and inputs a calculation result;
job delivery evaluation module: and the system gradually compares and evaluates the operation steps recorded by the load bending moment diagram drawing module and the unit bending moment diagram drawing module according to the calculation result input by the displacement result input module, and gives an evaluation result.
Model pretreatment: according to the virtual work principle, the unit force action state does not require displacement conditions. During the displacement calculation of the statically indeterminate structure, a user can select a simpler dummy equilibrium state to construct a virtual work equation. Thus, the platform supports possible changes to the model constraints by the user. The model changing function is optional, and a user can determine the model changing function according to the characteristics of the structure, the training purpose and the calculation mode. The constraint change work provided by the system comprises an internal constraint removal mode and an external constraint removal mode, and a user can construct a model diagram required by the user for applying unit force;
application of unit force: the user can apply the node force or the unit load according to the requirement of the question, the user can freely select the action position and the load mode, and the platform forms the unit force action state according to the load input by the user. In order to avoid inducing the platform in operation and influence on the effects of homework, examination and examination, the load is increased into a full-free mode, the platform cannot make corresponding judgment in the operation process, and a user can add the load in any mode which the user wants to add. The platform finally checks the unit force state and only judges according to the most basic balance condition criterion and the effectiveness of the displacement calculation. The algorithm for simulating the operation flow by the unit load state is shown in the attached figure 2;
real-time error detection: the detection comprises three main contents, and a beginner can find errors in time by using the function so as to save the training time. The method comprises the following steps of firstly, checking the correctness of internal force drawing. And comparing the internal force values of the control cross sections of the units with correct values obtained by the background calculation of the system after the user inputs the internal force values, prompting the user if the internal force values do not meet the error requirement, and re-inputting after the error requirement is checked. And secondly, the effectiveness of the set unit force state is detected, and if the unit force cannot meet the displacement calculation requirement, the user should reset the unit force state. And thirdly, detecting the finally calculated displacement value.
The real-time detection content is combined with the accuracy of the bending moment diagram and the scoring mechanism of the system, when the real-time detection error is not needed, the error content is stored, and score evaluation is carried out after the user submits the result. The score evaluation system corresponds to four steps of manual work in four components.
Wherein, the load bending moment diagram accounts for 25 percent, and the load bending moment diagram is multiplied by the accuracy of the bending moment diagram, namely the score; the unit force state accounts for 25 percent, and the unit force is correctly applied to obtain the score; the unit force moment diagram accounts for 25%, and when the unit force state is correct, the scoring is performed, and the scoring still needs to be multiplied by the accuracy of the moment diagram. If the first three items are all completely correct, the calculation results are compared, and the residual 25 percent is obtained if the calculation results are correct. In the drawing of fig. 1, when the unit bending moment diagram is drawn, the control section bending moment value is intentionally wrong, and the correct internal diagram is shown as the outer shape on the unit bending moment diagram. Finally, a score of 62.625 is calculated, and the algorithm flow of error detection and score evaluation is shown in fig. 3.
The functionality of the present invention is further illustrated in the following two examples.
Example 1: calculating the vertical displacement delta B of the node B of the cantilever rigid frame shown in the attached figure 4 under the action of loadVThe size of (2).
The formed process diagram is shown in figure 4 and comprises a model sketch, a load bending moment diagram, a unit load diagram and a unit bending moment diagram. According to the internal force diagram, a user self-draws a calculation equation, and the calculation result can be: 1188/EI, input results, after system evaluation, the question is scored as 100 points because both the process and the results are correct.
Example 2: and (3) calculating the displacement of the cross section in the midspan of the single-span statically indeterminate beam shown in the attached figure 5 under the action of load. In this example, four different virtual equilibrium states are used for displacement calculation, where solution one, two, and three perform correct virtual force application, and the virtual force state of solution four is the wrong application mode.
Example 2 solution one, the process diagram is shown in fig. 5, which includes a model sketch, a load bending moment diagram, a unit load diagram and a unit bending moment diagram. According to the plotted internal force diagram, a user self-simulates a calculation equation, and the calculation result can be: 0.0625, inputting the calculation result, and after system judgment, because the process and the result are correct, the score of the subject is 100.
The first two graphs of solution II, III and IV are consistent with solution I, and only the unit force state and unit bending moment graphs are shown in FIG. 6, FIG. 7 and FIG. 8.
Example 2, solution two, the process diagram formed is shown in fig. 6. The process and the result are correct.
Example 2 solution three, the process diagram of formation is shown in figure 7. The process and the result are correct.
The solutions one, two and three of the example 2 are applied by different equilibrium states, and the equilibrium state and the virtual force setting both meet the requirements of the unit load method, so that correct results can be obtained.
Example 2 solution four, the process diagram formed is shown in fig. 8. In the solution four, since the balance condition cannot be satisfied in the state of the unit force applied, the process is determined to be wrong. The final score was 25 points of the load bending moment diagram.
In summary, the intelligent operation system for calculating the displacement of the rod system structure provided by the invention has an operation mode which is compared with manual operation, and any calculation process cannot be reduced, so that the practice effectiveness of a user is guaranteed. The complete flow of manual work is simulated. Compared with manual operation, the platform provides corresponding assistance on the internal force diagram, so that the diagram forming efficiency is improved, particularly for repeated calculation and repeated operation which are irrelevant to concept understanding, the invalid time can be saved to a greater extent, and the operation effect is better. Meanwhile, the system has an intelligent question forming function, questions similar to characteristic questions can be randomly provided, the number of samples is large, the repetition of the questions can be effectively avoided, and the phenomenon of plagiarism in operation is avoided. In addition, the system allows real-time error detection, if the function is turned on, the platform can capture and prompt errors of key steps operated by a user, calculation errors can be corrected in time during exercise, and training efficiency is effectively improved. And the system detects the virtual unit force state conceptually, judges according to the balance condition and the effectiveness of displacement calculation, and a user has higher freedom degree to select, read and review on the basis, feed back the result in real time and provide correct answers. Has stronger gain effect on the teaching effect and can be conveniently used for examination and examination.
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 (5)

1. A rod system structure displacement calculation intelligent operation system is characterized by comprising:
the display module is divided into a result graph display area and an operation area; the display module is also provided with a question generation control and a graph multiplication displacement calculation control, and a user selects an embedded question or a user-defined question through the question generation control; after the title is generated, a user generates a calculation sketch and a model base map through the map multiplication displacement calculation control, wherein the calculation sketch is displayed in the graphic display area, and the model base map is displayed in the operation area;
a load bending moment diagram drawing module: a user draws a load bending moment diagram on the base diagram of the operation area, and the load bending moment diagram drawing module records the operation process of the operation area and loads the operation process into the calculation sketch in the graphic display area;
a unit bending moment diagram drawing module: a user performs reduction and restriction operation on a base map of the operation area and adds required unit load, and the unit bending moment map drawing module records the operation process of the operation area and loads a unit force state calculation model and a unit bending moment map in the graphic display area;
a displacement result input module: the user carries out displacement calculation according to the load bending moment diagram and the unit bending moment diagram and inputs a calculation result;
job delivery evaluation module: the system gradually compares and evaluates the operation steps recorded by the load bending moment diagram drawing module and the unit bending moment diagram drawing module according to the calculation result input by the displacement result input module, and gives an evaluation result;
two load adding modes are arranged in the load bending moment diagram drawing module, wherein the two load adding modes comprise adding according to a node force mode and adding according to a unit force mode, and under the node force adding mode, a user selects nodes in the model base diagram and selects a node force direction to automatically form a model under the action of unit force; under the mode of adding according to the unit force, a user selects a unit in the model base map, clicks the force direction of the unit, inputs the position parameters and automatically forms the model under the action of the unit force.
2. The rod system structure displacement calculation intelligent operation system according to claim 1, wherein: and the result graph display area respectively displays corresponding graph contents according to the calculation model, the load bending moment diagram, the unit load diagram and the unit bending moment diagram.
3. The rod system structure displacement calculation intelligent operation system according to claim 1, wherein: the unit bending moment graph drawing module comprises internal constraint reduction operation and external constraint reduction operation.
4. The rod system structure displacement calculation intelligent operation system according to claim 1, wherein: the system comprises a real-time error detection module, wherein after the real-time error detection module is started, the system detects each time a user executes one-step operation, and if the error requirement is not met, an error prompt is given.
5. The rod system structure displacement calculation intelligent operation system according to claim 1, wherein: the operation submitting evaluation module evaluates operation according to a calculation process, wherein the final score is determined in a mode that a load bending moment diagram accounts for 25%, a unit force state accounts for 25%, a unit force bending moment diagram accounts for 25%, and a calculation result accounts for 25%.
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