CN112836385B - Method for automatically calculating structural reliability - Google Patents
Method for automatically calculating structural reliability Download PDFInfo
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- CN112836385B CN112836385B CN202110191726.8A CN202110191726A CN112836385B CN 112836385 B CN112836385 B CN 112836385B CN 202110191726 A CN202110191726 A CN 202110191726A CN 112836385 B CN112836385 B CN 112836385B
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/12—Geometric CAD characterised by design entry means specially adapted for CAD, e.g. graphical user interfaces [GUI] specially adapted for CAD
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/30—Computing systems specially adapted for manufacturing
Abstract
The invention provides a method for automatically calculating the reliability of a structure, which comprises the steps of firstly submitting a state function of the structure to a program in the form of a character string from an interface, and carrying out symbolizing related operation processing on the program, wherein the operations comprise symbolizing the state function, identifying and acquiring symbolized variables of the state function, processing first derivatives, second derivatives and the like of the symbolized variables by the state function. And feeding back the automatically identified state function variables to a user from an interface, giving statistical information such as the mean value and variance of the variables on the interface by the user according to the state function variables and the sequence thereof, submitting the statistical information to a program, automatically establishing a mean value and variance array by the program, automatically establishing the variables named symbolized variables, and assigning specific values in the mean value or variance array to the corresponding variables. And then calculating the structural reliability according to the structural reliability method. And feeding the obtained result back to the user in the form of an interface.
Description
Technical Field
The invention relates to the technical field, in particular to a method for automatically calculating structural reliability.
Background
Reliability analysis refers to research on internal factors and external factors which lead to weak links, finding out rules and giving improvement measures and influence on system reliability after improvement.
The application of reliability analysis in engineering is deep into various fields such as strength, failure and service life analysis, material selection, structural design and the like, and is becoming more and more important as one of important indexes for measuring whether the quality of products is over-critical. The reliability is also required to be fully considered in the design process of the product, and because the reliability calculation is complex, each structure needs to be programmed with a new program, thereby being not beneficial to the popularization of the structure reliability calculation and simultaneously being not beneficial to engineering staff to calculate the structure reliability.
Disclosure of Invention
According to the technical problems of promotion and calculation which are unfavorable for the calculation of the structural reliability, the method for automatically calculating the structural reliability is provided. The invention mainly utilizes a method for automatically calculating the reliability of a structure, which is characterized by comprising the following steps:
step S1: acquiring a state function character string, and symbolizing the character string;
step S2: acquiring a symbolized variable array through the symbolized function character string; the variable array comprises: comma elements;
step S3: processing the obtained variable array; commas are removed, and a symbolized variable array meeting the requirements is obtained; namely, obtaining the variable name of the state function;
step S4: the dimension of the variable array is obtained, namely the variable number of the state function is obtained;
step S5: calculating a first derivative array and a second derivative array of the state function on the variable through the symbolized state function, namely the variable name of the state function;
step S6: acquiring the sequence of state function variables according to the variable names acquired in the step S3; sequentially obtaining the mean value and variance of the variables;
step S7: obtaining the mean value and variance character strings of the state function variables, converting the obtained character strings, and converting the two character strings into a mean value and variance array of the state function variables;
step S8: and obtaining the reliability of the structure through a structure reliability method.
Further, in step S6, the user inputs information according to the sequence of the state function variables and the variable sequence; the average value of all the variables is input from an input box, and the average value of the state function variables is sequentially filled in the middle according to the interface prompt sequence and separated by commas; after submission, variable mean and variance information can be obtained.
Still further, the structural reliability method is JC method.
Further, the acquiring the reliability of the structure by the JC method further includes the following steps:
step S71: establishing a state function variable array initial value array x, and endowing the initial value as a mean value array of the state function variables;
step S72: defining an array x0 with the consistent array x dimension, assigning an initial value, and setting each element value as a non-zero and very small array;
step S73: setting the value of the x0 array to x
Step S74: establishing a symbolic variable as a name variable according to the symbolic variable array, and correspondingly assigning values in the x0 array elements to the variables;
step S75: calculating a state function value;
step S76: calculating the first derivative array value of the state function on each variable;
step S77: calculating a new reliability index value;
step S78: calculating a new x;
step S79: taking a difference modulus of the new x and the new x0, dividing the difference modulus by the x modulus, and repeating S72-S78 until the iteration termination condition is met;
step S710: and acquiring structural reliability data and displaying the structural reliability data on an interface.
Compared with the prior art, the invention has the following advantages:
the method implementation herein requires only the mean and variance of the input state functions and parameters. The reliability of the structure can be quickly calculated. Even if the technician is unfamiliar with the reliability theory, the structural reliability calculation problem can be well solved, and the repeated writing of the structural reliability calculation program and the complicated writing process thereof are avoided.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, and it is obvious that the drawings in the following description are some embodiments of the present invention, and other drawings may be obtained according to the drawings without inventive effort to a person skilled in the art.
FIG. 1 is a schematic overall flow chart of the present invention.
Detailed Description
In order that those skilled in the art will better understand the present invention, a technical solution in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in which it is apparent that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, shall fall within the scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and the claims of the present invention and the above figures are used for distinguishing between similar objects and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used may be interchanged where appropriate such that the embodiments of the invention described herein may be implemented in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
As shown in fig. 1, the present invention provides a method for automatically calculating the reliability of a structure, which is characterized by comprising the following steps:
step S1: acquiring a state function character string, and symbolizing the character string;
step S2: acquiring a symbolized variable array through the symbolized function character string; the variable array comprises: comma element. As a preferred embodiment, in the present application, when a plurality of parameters need to be entered, the parameters are separated by commas, and it is understood that the method is not limited to the method, for example, the method may be used in a different interface input manner or a plurality of window input manners, so long as the method can satisfy the requirement of inputting the data that needs to be acquired. Correspondingly, in the next step, the data such as mean variances of different parameters are also distinguished in the same way.
Step S3: processing the obtained variable array; commas are removed, and a symbolized variable array meeting the requirements is obtained; namely, obtaining the variable name of the state function;
step S4: the dimension of the variable array is obtained, namely the variable number of the state function is obtained;
step S5: calculating a first derivative array and a second derivative array of the state function on the variable through the symbolized state function, namely the variable name of the state function;
step S6: acquiring the sequence of state function variables according to the variable names acquired in the step S3; sequentially obtaining the mean value and variance of the variables; in the present invention, as a preferred embodiment, in step S6, the user inputs information according to the sequence of the state function variables and the variable sequence; the average value of all the variables is input from an input box, and the average value of the state function variables is sequentially filled in the middle according to the interface prompt sequence and separated by commas; after submission, variable mean and variance information can be obtained.
Step S7: obtaining the mean value and variance character strings of the state function variables, converting the obtained character strings, and converting the two character strings into a mean value and variance array of the state function variables;
step S8: and obtaining the reliability of the structure through a structure reliability method. In this application, preferably, the structural reliability method is JC method. As a preferred embodiment, the structural reliability method described in the present application is the JC method. It is to be understood that in other embodiments, the structural reliability method employed may be other as long as the structure can be calculated
Further, the method for obtaining the reliability of the structure through the JC method further comprises the following steps:
step S71: establishing a state function variable array initial value array x, and endowing the initial value as a mean value array of the state function variables;
step S72: defining an array x0 with the consistent array x dimension, assigning an initial value, and setting each element value as a non-zero and very small array;
step S73: setting the value of the x0 array to x
Step S74: establishing a symbolic variable as a name variable according to the symbolic variable array, and correspondingly assigning values in the x0 array elements to the variables;
step S75: calculating a state function value;
step S76: calculating the first derivative array value of the state function on each variable;
step S77: calculating a new reliability index value;
step S78: calculating a new x;
step S79: taking a difference modulus of the new x and the new x0, dividing the difference modulus by the x modulus, and repeating S72-S78 until the iteration termination condition is met;
step S710: and acquiring structural reliability data and displaying the structural reliability data on an interface.
As a preferred embodiment, the method of the present invention may also be applied to a system or software incorporating the method, where specific users simplify the programming steps by entering relevant information to achieve easy operation and use.
Example 1
Taking the state function g (a, b, c) =abc as an example, the main implementation part of the program
The pop-up interface inputs a, b and c on the interface
The foregoing embodiment numbers of the present invention are merely for the purpose of description, and do not represent the advantages or disadvantages of the embodiments.
In the foregoing embodiments of the present invention, the descriptions of the embodiments are emphasized, and for a portion of this disclosure that is not described in detail in this embodiment, reference is made to the related descriptions of other embodiments.
In the several embodiments provided in the present application, it should be understood that the disclosed technology content may be implemented in other manners. Wherein the above described device embodiments are merely illustrative, e.g. of the division of the units.
Finally, it should be noted that: the above embodiments are only for illustrating the technical solution of the present invention, and not for limiting the same; although the invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical scheme described in the foregoing embodiments can be modified or some or all of the technical features thereof can be replaced by equivalents; such modifications and substitutions do not depart from the spirit of the invention.
Claims (4)
1. A method for automatically calculating the reliability of a structure, comprising the steps of:
s1: acquiring a state function character string, and symbolizing the character string;
s2: acquiring a symbolized variable array through the symbolized function character string; the variable array comprises: comma elements;
s3: processing the obtained variable array; commas are removed, and a symbolized variable array meeting the requirements is obtained; namely, obtaining the variable name of the state function;
s4: the dimension of the variable array is obtained, namely the variable number of the state function is obtained;
s5: calculating a first derivative array and a second derivative array of the state function on the variable through the symbolized state function, namely the variable name of the state function;
s6: acquiring the sequence of state function variables according to the variable names acquired in the step S3; sequentially obtaining the mean value and variance of the variables;
s7: obtaining the mean value and variance character strings of the state function variables, converting the obtained character strings, and converting the two character strings into a mean value and variance array of the state function variables;
s8: and obtaining the reliability of the structure through a structure reliability method.
2. A method for automatic calculation of structural reliability according to claim 1, characterized in that,
in the step S6, the user inputs corresponding input information according to the sequence of the state function variables and the variable sequence; the average value of all the variables is input from an input box, and the average value of the state function variables is sequentially filled in the middle according to the interface prompt sequence and separated by commas; after submission, variable mean and variance information can be obtained.
3. The method for automatically calculating the structural reliability according to claim 1, wherein the structural reliability method is JC method.
4. A method for automatic calculation of structural reliability according to claim 3, characterized in that,
the obtaining the reliability of the structure through the JC method further comprises the following steps:
s71: establishing a state function variable array initial value array x, and endowing the initial value as a mean value array of the state function variables;
s72: defining an array x0 with the consistent array x dimension, assigning an initial value, and setting each element value as a non-zero and very small array;
s73: setting the value of the x0 array to x
S74: establishing a symbolic variable as a name variable according to the symbolic variable array, and correspondingly assigning values in the x0 array elements to the variables;
s75: calculating a state function value;
s76: calculating the first derivative array value of the state function on each variable;
s77: calculating a new reliability index value;
s78: calculating a new x;
s79: taking a difference modulus of the new x and the new x0, dividing the difference modulus by the x modulus, and repeating S72-S78 until the iteration termination condition is met;
s710: and acquiring structural reliability data and displaying the structural reliability data on an interface.
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| CN105204327A (en) * | 2015-08-24 | 2015-12-30 | 北京航空航天大学 | Airplane dissimilar redundancy hybrid actuation system reliability confirmation method based on minimal path disjoint |
| WO2016071942A1 (en) * | 2014-11-05 | 2016-05-12 | 株式会社マルセイ | Method for processing knowledge or information, device, and computer program |
| CN108304320A (en) * | 2018-01-05 | 2018-07-20 | 西北工业大学 | The java applet error-detecting method executed based on dynamic symbol |
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| US9658938B2 (en) * | 2015-03-30 | 2017-05-23 | Fujtsu Limited | Iterative test generation based on data source analysis |
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| WO2016071942A1 (en) * | 2014-11-05 | 2016-05-12 | 株式会社マルセイ | Method for processing knowledge or information, device, and computer program |
| CN105204327A (en) * | 2015-08-24 | 2015-12-30 | 北京航空航天大学 | Airplane dissimilar redundancy hybrid actuation system reliability confirmation method based on minimal path disjoint |
| CN108304320A (en) * | 2018-01-05 | 2018-07-20 | 西北工业大学 | The java applet error-detecting method executed based on dynamic symbol |
Non-Patent Citations (1)
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| 随机载荷作用下轴对称结构模糊可靠度计算方法;张东梅,尚春民,乔彦峰;现代制造工程(07);全文 * |
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