CN113408040B - Analog data correction method and system in civil engineering - Google Patents

Analog data correction method and system in civil engineering Download PDF

Info

Publication number
CN113408040B
CN113408040B CN202110810548.2A CN202110810548A CN113408040B CN 113408040 B CN113408040 B CN 113408040B CN 202110810548 A CN202110810548 A CN 202110810548A CN 113408040 B CN113408040 B CN 113408040B
Authority
CN
China
Prior art keywords
data
measuring point
finite element
element model
simulation
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202110810548.2A
Other languages
Chinese (zh)
Other versions
CN113408040A (en
Inventor
郑凯凯
史俊
孙国瑞
袁健
王炜
于素慧
高成强
张毅
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Harbin Institute of Technology
Central South University
Rocket Force University of Engineering of PLA
Original Assignee
Harbin Institute of Technology
Central South University
Rocket Force University of Engineering of PLA
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Harbin Institute of Technology, Central South University, Rocket Force University of Engineering of PLA filed Critical Harbin Institute of Technology
Priority to CN202110810548.2A priority Critical patent/CN113408040B/en
Publication of CN113408040A publication Critical patent/CN113408040A/en
Application granted granted Critical
Publication of CN113408040B publication Critical patent/CN113408040B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
    • 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
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • 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]

Landscapes

  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Geometry (AREA)
  • Theoretical Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • General Physics & Mathematics (AREA)
  • Evolutionary Computation (AREA)
  • General Engineering & Computer Science (AREA)
  • Architecture (AREA)
  • Civil Engineering (AREA)
  • Structural Engineering (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Mathematical Optimization (AREA)
  • Pure & Applied Mathematics (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

A simulation data correction method and system in civil engineering relate to the technical field of civil engineering data measurement and calculation, and comprise the following steps: s1: acquiring geometric parameters and material parameters of a measured object, establishing a finite element model of the measured object, and dividing a grid; s2: selecting a plurality of measuring points in the finite element model, and respectively constructing a discrete weight function of each measuring point; s3: applying real boundary conditions to the finite element model, and calculating to obtain ideal data of each measuring point; s4: and correcting the ideal data of each measuring point by using the discrete weight function and the measured data of each measuring point to obtain the corrected data of each node in the finite element model of the measuring object. The method provided by the invention has no iterative computation process and solution equation problem, can reasonably expand the data of any physical quantity type of a plurality of measuring points to the whole structure, realizes a high-precision spatial interpolation effect, and provides direct structural working state discrimination basis for scientific research personnel and engineering experts.

Description

Analog data correction method and system in civil engineering
Technical Field
The invention relates to the technical field of measurement data correction, in particular to a method and a system for correcting simulation data in civil engineering.
Background
Structural data in civil engineering are often difficult to determine, the result of numerical calculation is greatly influenced, the measurement of the structural data in a laboratory has the problem of scale effect, the number of field samples is often not large in consideration of economic cost, and the real structural data of the whole engineering area cannot be obtained, so that a method of space difference is necessary to be adopted to correct laboratory simulation data.
The estimation accuracy of the spatial interpolation method depends mainly on whether all sample information is fully and reasonably utilized. The general spatial interpolation method only focuses on the spatial distribution and the numerical size of the samples and ignores hidden information behind the samples, resulting in insufficient interpolation precision. For example, conventional methods do not distinguish between processing the sample data for distortion and temperature. In addition, common spatial interpolation methods usually assume some mathematical models to supplement spatial correlation information, but their determination is empirical and fuzzy, and interpolation accuracy is difficult to guarantee.
Disclosure of Invention
In view of this, the invention provides a method and a system for correcting simulation data in civil engineering, which can reasonably expand data of any physical quantity types of a plurality of measuring points to the whole structure, realize a high-precision spatial interpolation effect, and provide direct structure working state judgment basis for scientific research personnel and engineering experts.
In order to achieve the purpose, the invention adopts the technical scheme that:
according to a first aspect of the present invention, there is provided a simulation data correcting method in civil engineering, the method comprising the steps of:
s1: acquiring geometric parameters and material parameters of a measured object, establishing a finite element model of the measured object, and dividing a grid;
s2: selecting a plurality of measuring points in the finite element model, and respectively constructing a discrete weight function of each measuring point;
s3: applying real boundary conditions to the finite element model, and calculating to obtain ideal data of each measuring point;
s4: correcting the ideal data of each measuring point by using the discrete weight function and the measured data of each measuring point, so as to obtain the corrected data of each node in the finite element model of the measuring object;
the order of the above steps S2 and S3 is not fixed.
Further, the constructing of the discrete weight function of each measurement point in S2 specifically includes:
s21: applying loads of any physical quantity type of a unit I at a measuring point i in the finite element model, and applying constraints of the same physical quantity type to other measuring points; i is a positive integer and is used for representing the serial number of the measuring point;
s32: obtaining the simulation values of the physical quantity types of all grid nodes in the finite element model in a numerical simulation mode, namely obtaining a discrete weight function of the measuring point i;
s33: and repeating the steps S31-S32 until the discrete weight functions of all the measuring points are obtained.
Further, the discrete weight function is specifically:
Ni＝{u1,u2,...,un}；
wherein N isiIs a discrete weight function of the measuring point i; u. of1,u2,...,unIdeal data of the 1 st node, the 2 nd node to the nth node in the finite element model are obtained; and n is a positive integer, and the total number of the grid nodes in the finite element model is taken.
Further, the step S4 specifically includes:
the measured data u of each measuring pointi rSubstitution formula
Figure BDA0003167516340000021
The correction data of the type of the measured physical quantity can be calculated;
wherein m is the total number of the measuring points; i is the serial number of the measuring point; n is a radical ofiIs a discrete weight function of the measuring point i;
Figure BDA0003167516340000022
representing a hadamard product; u. ofeA corrected data matrix for the type of physical quantity measured; u. ofsAn ideal data matrix of the measured physical quantity type; u. ofi rMeasured data of a measuring point i is obtained; u. ofi sIs the ideal data for point i.
Furthermore, if the ideal data u corresponding to a certain measuring pointi sWhen it is equal to 0, then let ui r/ui sEqual to 1.
Furthermore, the measuring points are all located on the grid nodes of the finite element model.
Further, the discrete weight function of the same sample point is changed along with the change of the type of the physical quantity of the correction data.
Further, the type of the physical quantity of the correction data includes any one of temperature, velocity, concentration, stress, strain, and displacement.
According to a second aspect of the present invention, there is provided a simulation data correcting system in civil engineering, comprising:
a processor and a memory for storing executable instructions;
wherein the processor is configured to execute the executable instructions to perform the simulation data correction method in civil engineering described above.
According to a third aspect of the invention, there is provided a computer-readable storage medium on which a computer program is stored, characterized in that the computer program, when executed by a processor, implements the above-described simulation data correction method in civil engineering.
Compared with the prior art, the civil engineering measurement data correction method and system provided by the invention have the following advantages:
(1) the data correction method provided by the invention effectively combines experimental data and simulation data, so that a comprehensive and real working state of an engineering structure is obtained, the implementation process is simple, the number and distribution of actual measuring points in the engineering are not limited, equations and optimization problems are not solved, and the method is convenient to popularize and apply;
(2) the invention solves the problem that the simulation result is inconsistent with the experimental result due to the unknown defect of the structure by correcting the simulation result obtained by simulation through part of the measured data in the engineering, so that the simulation result can more truly reflect the actual stress state of the structure.
(3) The method reasonably expands the data of any physical quantity type of a plurality of measuring points to the whole structure, realizes a high-precision spatial interpolation effect, and provides direct structural working state judgment basis for scientific research personnel and engineering experts.
Drawings
The accompanying drawings are included to provide a further understanding of the invention, and are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and together with the description serve to explain the invention and not to limit the invention.
FIG. 1 is a finite element model of a three-span bridge according to embodiment 1 of the present invention;
FIG. 2 is a real and ideal simulation of the deflection of a three-span bridge according to example 1 of the present invention;
FIG. 3 is a schematic diagram of a discrete weight function of the deflection of a three-span bridge according to embodiment 1 of the present invention;
FIG. 4 is a comparison of the simulated adjustment results of the deflection of the three-span bridge according to the embodiment 1 of the invention;
FIG. 5 is a finite element model of the exterior wall of the building according to embodiment 2 of the present invention;
FIG. 6 is a real and ideal simulation of the temperature of the exterior wall of a building according to example 2 of the present invention;
FIG. 7 is a graph illustrating a discrete weighting function of the temperature of the exterior wall of the building according to example 2 of the present invention;
FIG. 8 is a comparison of the simulation results of adjusting the temperature of the exterior wall of the building according to example 2 of the present invention;
Detailed Description
Reference will now be made in detail to the exemplary embodiments, examples of which are illustrated in the accompanying drawings. When the following description refers to the accompanying drawings, like numbers in different drawings represent the same or similar elements unless otherwise indicated. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present invention. Rather, they are merely examples of apparatus and methods consistent with certain aspects of the invention, as detailed in the appended claims.
The terms first, second and the like in the description and in the claims, are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are, for example, capable of operation 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.
A plurality, including two or more.
And/or, it should be understood that, as used herein, the term "and/or" is merely one type of association that describes an associated object, meaning that three types of relationships may exist. For example, a and/or B, may represent: a exists alone, A and B exist simultaneously, and B exists alone.
A simulation data correction method in civil engineering comprises the following specific technical scheme:
a. establishing a finite element model of the measured object, and dividing the finite element model into a plurality of suitable finite elementsApplying a specific boundary condition, and obtaining a discrete weight function N of each measuring point by a numerical simulation methodi。
b. Performing conventional simulation, applying real boundary conditions, inputting material attributes, and obtaining a conventional simulation result usAnd extracting a conventional analog value u at the measurement pointi s。
c. The measured data u of each measuring pointi rSubstitution formula
Figure BDA0003167516340000041
I.e. an accurate estimate u of the measured physical quantity field can be calculatedeWherein m is the total number of the measuring points,
Figure BDA0003167516340000042
representing the hadamard product.
Preferably, all the measurement points in step a should be exactly on the mesh nodes of the model.
Preferably, the specific boundary condition in step a refers to a weight function N in calculating the ith measurement pointiAt point i, the physical quantity in unity (which is identical or close to the data type) is added, and zero is set at the remaining points.
Preferably, the numerical simulation in step a only considers the linear elasticity of the material, and the value of each node physical quantity obtained by the simulation is the discrete weight function N forming the measuring point ii＝{u1,u2,...,uj,...,unH, where ujIs the analog value at the jth node, and n is the total number of nodes.
Preferably, u in step ce、usAnd NiAll are vectors about the coordinates of the nodes, and the jth element is the exact correction value, ideal analog value and weight function value at the jth node.
Preferably, the simulation value u corresponding to the measured point in the step ci sWhen it is 0, the coefficient u is seti r/ui sIs 1.
Preferably, the automatic loop-constrained program is programmed in ANSYS-APDL language and the discrete weight function vectors are output in bulk.
Preferably, the present invention is particularly suitable for physical quantities having transfer characteristics such as deformation, velocity, temperature, concentration, etc., which, when the system deviates from the equilibrium state, a transfer phenomenon occurs to bring the system toward the equilibrium state. For physical quantities that are not transitive, a weighting function can be calculated with similar physical quantities, for example, a weighting function constructed with displacements to adjust the strain data.
Example 1: simulation result adjustment of three-span beam
The three-span beam is a common structure in civil engineering, and is generally characterized in that two ends are fixedly connected, and two sliding supports are arranged in the middle. The geometrical parameters of the three-span beam structure at a certain position are measured as follows, the length of the beam is 3m, the length of each span is 1m, and the section of the beam is 100 multiplied by 100mm2Simultaneously measuring the elastic modulus E of the three-span beam material 0200 GPa. From this a finite element model as shown in fig. 1 was built.
The three-span beam is applied with uniform load of 1kN/m, if a damaged part of the real beam is found, the elastic modulus of the real beam is 1/20 which is normal, and the ideal simulation does not consider the weak part, and the simulation results of the two parts are shown in figure 2.
Extracting real simulation displacement values of the three spans as actual measurement samples ui rAnd extracting the corresponding ideal analog value ui s. In fact, the displacement of the four supports is also known information and can be used as a measuring point for supplement, and the precision of analog adjustment is improved.
Then, discrete weight functions of seven measuring points are calculated, and the weight function at the measuring point 4 is constructed as an example. According to the structural property of the weight function, a displacement in the unit of y direction is added at the measuring point 4, a fixed constraint in the y direction is added at other measuring points, and rigid body displacements in other directions of the plate are limited. Then, static analysis is carried out, and the obtained y-direction displacement field is the discrete weight function N4＝{u1,u2,...,uk,...,unAs shown in fig. 3. Similarly, other discrete weighting functions N may be obtainedi(i-1, 2, …,7), wherein the weighting function N is7A schematic diagram is also given in fig. 3.
After obtaining the discrete weight function of each measuring point, the ideal simulation result u is obtainedsMeasured value u of the measuring pointi r(from a real simulation) and a simulated value ui sSubstitution formula
Figure BDA0003167516340000051
The adjustment result of the beam deflection simulation can be obtained, wherein u is at four branch pointsi r/ui sIs set to 1. FIG. 4 compares the results of the real simulation, the ideal simulation, and the simulation adjustment, and it can be seen that the ideal simulation is adjusted to be closer to the real simulation, illustrating the effectiveness of the method.
Example 2: simulation result adjustment of wall temperature
Measuring the wall size of a section of wall of a certain building to be 300 multiplied by 200mm2The temperature outside the wall is 50 ℃, and the convection heat transfer coefficient inside the wall is 0.5. The thermal conductivity of the normal insulation board is 0.4W/m.K (material 2), and the thermal conductivity of the concrete is 1.28W/m.K (material 2). A finite element model as shown in fig. 5 was built and divided into 60 x 40 Shell 132 cells.
If the heat insulation board of the real outer wall is seeped water at this time, the heat conductivity coefficient of the real outer wall becomes 4W/m.K, and the damage of the heat insulation board is not considered in the ideal simulation, and the simulation results of the heat insulation board and the ideal simulation are respectively shown as a and b in fig. 6.
Three real simulation temperature values are extracted as actual measurement samples ui rAnd extracting the corresponding ideal analog value ui s. In fact, the temperature of the outer wall boundary is also known information, and the whole is regarded as a measuring point.
Then, discrete weight functions of the four measuring points are calculated, and the weight function at the measuring point 1 is constructed as an example. According to the constructive nature of the weighting function, a temperature of 1 ℃ is added at point 1, and 0 ℃ is added at the other points. Then carrying out steady state thermodynamic analysis to obtain a temperature field which is a discrete weight function N1＝{u1,u2,...,uk,...,unAs shown in fig. 7 a. Similarly, other discrete weighting functions N may be obtainedi(i-1, 2, …,4) wherein the weighting function N is2The schematic diagram is given as shown in fig. 7 b.
After obtaining the discrete weight function of each measuring point, the ideal simulation result u is obtainedsMeasured value u of the measurement pointi r(from a real simulation) and a simulated value ui sSubstitution formula
Figure BDA0003167516340000061
The adjustment results for beam deflection simulation can be obtained as shown in figure 8 a. Fig. 8b compares the results of the real simulation, the ideal simulation, and the simulation adjustment at the central axis of the wall, and it can be seen that the ideal simulation is adjusted to be closer to the real simulation.
The above-mentioned serial numbers of the embodiments of the present invention are merely for description and do not represent the merits of the embodiments.
While the present invention has been described with reference to the embodiments shown in the drawings, the present invention is not limited to the embodiments, which are illustrative and not restrictive, and it will be apparent to those skilled in the art that various changes and modifications can be made therein without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (7)

1. A method for correcting simulation data in civil engineering, characterized in that it comprises the following steps:
s1: acquiring geometric parameters and material parameters of a measurement object, establishing a finite element model of the measurement object, and dividing a grid;
s2: selecting a plurality of measuring points in the finite element model, and respectively constructing a discrete weight function of each measuring point;
s3: applying real boundary conditions to the finite element model, and calculating to obtain ideal data of each measuring point;
s4: correcting the ideal data of each measuring point by using the discrete weight function and the measured data of each measuring point, so as to obtain the corrected data of each node in the finite element model of the measuring object;
the sequence of the above steps S2 and S3 is not fixed;
wherein, the constructing the discrete weight function of each measurement point in S2 specifically includes:
s21: applying a load of any physical quantity type of a unit one to a measuring point i in the finite element model, and applying constraints of the same physical quantity type to other measuring points; i is a positive integer and is used for representing the serial number of the measuring point;
s22: obtaining simulation values of the physical quantity types of all grid nodes in the finite element model in a numerical simulation mode, namely obtaining a discrete weight function of the measuring point i;
s23: repeating the steps S21-S22 until discrete weight functions of all the measuring points are obtained; the discrete weight function is specifically:
Ni＝{u1,u2,...,un}；
wherein N isiIs a discrete weight function of the measuring point i; u. of1,u2,...,unIdeal data of the 1 st node, the 2 nd node to the nth node in the finite element model are obtained; n is a positive integer, and the total number of grid nodes in the finite element model is taken;
the step S4 specifically includes: the measured data of each measuring point is measured
Figure FDA0003597638760000011
Substitution formula
Figure FDA0003597638760000012
The correction data of the type of the measured physical quantity can be calculated;
wherein m is the total number of the measuring points; i is the serial number of the measuring point; n is a radical ofiIs a discrete weight function of the measuring point i;
Figure FDA0003597638760000013
representing a hadamard product; u. ofeA correction data matrix for the type of the measured physical quantity; u. ofsAn ideal data matrix of the measured physical quantity type;
Figure FDA0003597638760000014
measured data of a measuring point i is obtained;
Figure FDA0003597638760000015
is the ideal data for point i.
2. The method of correcting simulation data in civil engineering work as claimed in claim 1, wherein the ideal data is given to a certain survey point
Figure FDA0003597638760000016
When it is equal to 0, then order
Figure FDA0003597638760000017
Equal to 1.
3. The method of correcting simulation data in civil engineering work according to claim 1, wherein the plurality of measurement points are located on mesh nodes of the finite element model.
4. The method of correcting simulation data in civil engineering work of claim 1, wherein the discrete weight function of the same sample point is changed in accordance with a change in the type of the physical quantity of the correction data.
5. The simulation data correcting method in civil engineering according to claim 1, wherein the type of the physical quantity of the correction data includes any one of temperature, speed, concentration, stress, strain, displacement.
6. A simulation data correction system in civil engineering, characterized by comprising:
a processor and a memory for storing executable instructions;
wherein the processor is configured to execute the executable instructions to perform the simulation data correction method in civil engineering as claimed in any one of claims 1 to 5.
7. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, implements a simulation data correcting method in civil engineering as claimed in any one of claims 1 to 5.
CN202110810548.2A 2021-07-16 2021-07-16 Analog data correction method and system in civil engineering Active CN113408040B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202110810548.2A CN113408040B (en) 2021-07-16 2021-07-16 Analog data correction method and system in civil engineering

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202110810548.2A CN113408040B (en) 2021-07-16 2021-07-16 Analog data correction method and system in civil engineering

Publications (2)

Publication Number Publication Date
CN113408040A CN113408040A (en) 2021-09-17
CN113408040B true CN113408040B (en) 2022-06-17

Family

ID=77686866

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202110810548.2A Active CN113408040B (en) 2021-07-16 2021-07-16 Analog data correction method and system in civil engineering

Country Status (1)

Country Link
CN (1) CN113408040B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN118036418A (en) * 2024-04-15 2024-05-14 中交第二公路工程局有限公司 Bridge state reconstruction processing method and device based on limited perception and storage medium

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101710360A (en) * 2009-12-23 2010-05-19 西北工业大学 Optimization design method of skeleton structure of airplane assembly tool
CN109657289A (en) * 2018-11-28 2019-04-19 青岛理工大学 Parametric classification based on sensitivity analysis-substep model modification method
CN112907032A (en) * 2021-01-21 2021-06-04 中国人民解放军火箭军工程大学 Efficiency-based evaluation method for large electromagnetic ejection device

Family Cites Families (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8612186B2 (en) * 2011-03-01 2013-12-17 Livermore Software Technology Corp. Numerical simulation of structural behaviors using a meshfree-enriched finite element method

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101710360A (en) * 2009-12-23 2010-05-19 西北工业大学 Optimization design method of skeleton structure of airplane assembly tool
CN109657289A (en) * 2018-11-28 2019-04-19 青岛理工大学 Parametric classification based on sensitivity analysis-substep model modification method
CN112907032A (en) * 2021-01-21 2021-06-04 中国人民解放军火箭军工程大学 Efficiency-based evaluation method for large electromagnetic ejection device

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
徐恒志等.基于静动力测试的混凝土T形梁有限元模型修正.《青岛理工大学学报》.2020,(第05期),52-58. *
韩万水 等.基于实数编码遗传算法的桥梁有限元模型修正方法.《交通运输工程学报》.2019, *
龚大成等.基于Preisach理论的GMA迟滞建模与参数辨识.《浙江大学学报(工学版)》.2008,(第03期),63-66. *

Also Published As

Publication number Publication date
CN113408040A (en) 2021-09-17

Similar Documents

Publication Publication Date Title
CN113051831B (en) Modeling method and thermal error control method for thermal error self-learning prediction model of machine tool
Jansen et al. Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis
WO2018223774A1 (en) Method for indirectly acquiring continuous distribution mechanical parameter field of non-homogeneous materials
Wu et al. Model error correction from truncated modal flexibility sensitivity and generic parameters: Part I—simulation
Changizi et al. Stress-based topology optimization of frame structures under geometric uncertainty
Koh et al. Feedback controller design for sensitivity-based damage localization
CN116432543B (en) Method for predicting remaining life of power semiconductor module, terminal device and storage medium
CN113408040B (en) Analog data correction method and system in civil engineering
Materna et al. Nonlinear reanalysis for structural modifications based on residual increment approximations
CN113722860B (en) Transient thermodynamic state online evaluation method, device and medium based on reduced order model
CN111090942B (en) High-sensitivity piezoresistive uniaxial force sensor design method based on topology optimization
CN115455793A (en) High-rise structure complex component stress analysis method based on multi-scale model correction
CN113158518A (en) Method for solving stress of thin substrate
CN113505405B (en) Equivalent load obtaining method, and topology optimization method and system based on equivalent load
CN113010954A (en) Bridge structure damage identification method and device and terminal equipment
CN107844646A (en) A kind of slender bodies distribution load-transfer mechanism reducing technique
Al-Faddagh et al. Steady-state stress distributions in circumferentially notched bars subjected to creep
Liu et al. Refined finite element modeling of a damaged bridge with virtual distortion method coupling solid superelement
CN112733402B (en) Topological optimization design method of high-sensitivity low-crosstalk piezoresistive uniaxial force sensor
Rezaiee-Pajand et al. An incremental iterative solution procedure without predictor step
JP6651254B2 (en) Simulation method, simulation program, and simulation device
CN111210877B (en) Method and device for deducing physical parameters
Yadegari et al. Generalized grain cluster method for multiscale response of multiphase materials
Zhao et al. Uncertainty static analysis of structures with hybrid spatial random and interval properties
Atkočiūnas et al. The scanning method for analysing the residual displacements of the framed structures at shakedown

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant