CN114266183A - Incomplete boundary condition hybrid test method and system based on test substructure resilience correction - Google Patents

Incomplete boundary condition hybrid test method and system based on test substructure resilience correction Download PDF

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CN114266183A
CN114266183A CN202111616451.4A CN202111616451A CN114266183A CN 114266183 A CN114266183 A CN 114266183A CN 202111616451 A CN202111616451 A CN 202111616451A CN 114266183 A CN114266183 A CN 114266183A
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substructure
test
surmodel
restoring force
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杨格
王尚长
王贞
吴斌
肖嘉俊
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Wuhan University of Technology WUT
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Abstract

An incomplete boundary condition hybrid test method and system based on test substructure resilience correction belongs to the technical field of structural engineering tests. In order to solve the problem of incomplete boundary conditions in a hybrid test, the invention provides a hybrid test method and a hybrid test system for incomplete boundary conditions based on the recovery force correction of a test substructure. On the basis of dividing the numerical substructure and the test substructure in a conventional mixed test, two sets of proxy models are established for the test substructure, and the two sets of proxy models have the same simulation mode as the numerical substructure and are simulated in a computer. Setting a first set of agent models as complete boundary conditions; the second set of surrogate models are set to have the same boundary conditions as the trial substructures, and belong to incomplete boundary conditions. Using two sets of proxy models for the test substructureAnd (3) restoring force correction: rE,i+1=RExpSub,i+1+RSurmodel_1,i+1‑RSurmodel_2,i+1,RExpSub,i+1To test the restoring force of the substructure, RSurmodel_1,i+1、RSurmodel_2,i+1Is the resilience, R, of two sets of proxy modelsE,i+1The corrected test substructure restoring force. The invention is mainly used for mixing tests.

Description

Incomplete boundary condition hybrid test method and system based on test substructure resilience correction
Technical Field
The invention relates to a hybrid test method and a hybrid test system, and belongs to the technical field of structural engineering tests.
Background
In the past, earthquake disasters seriously threaten the social safety of human beings and cause huge economic loss and casualties, so that earthquake test research is necessary to provide a basis for earthquake fortification and earthquake design. A hybrid test, which is one of the seismic testing methods, is a simulation method in which numerical analysis and physical tests are combined on line, and a seismic test of a full-scale structure can be realized.
The conventional hybrid test divides the overall structure into a numerical substructure and a test substructure, and the numerical substructure is simulated in a computer by adopting finite element software and other modes; the test substructure requires boundary loading tasks to be accomplished in a structural laboratory by loading equipment, such as actuators, vibration tables, and the like. However, due to the limitation of laboratory conditions and the difficulty in controlling loading, the loading device can only complete boundary conditions which are easy to implement in the test substructure, and is difficult to satisfy all the boundary conditions of the test substructure, the boundary conditions which cannot be implemented will have a great influence on the accuracy and reliability of the test result, and even the test result is seriously deviated from reality, so that the test fails, which is called as the problem of incomplete boundary conditions, and the hybrid test method with the problem of incomplete boundary conditions is called as the hybrid test method of incomplete boundary conditions.
Therefore, in the mixing test, whether the boundary condition of the test substructure can be completely realized is a precondition for ensuring the accuracy and reliability of the mixing test result. An actuator is one of the actors who achieve boundary conditions between substructures, and it is often necessary to place the same or more actuators as the number of degrees of freedom of the boundary at the boundary of the test substructure to simulate its boundary conditions. For a simple test substructure, such as a magnetorheological damper, the boundary conditions are relatively simple and only one actuator is needed, while for a test substructure with complex boundary conditions, for example, beam-column nodes of a space frame structure, six actuators need to be arranged to ensure the coordination of the boundary conditions of the numerical substructure and the test substructure, which has high requirements on laboratory hardware equipment.
Due to the factors of laboratory equipment limitation, difficulty in controlling loading of degree of freedom and the like, the boundary condition of the test substructure cannot be completely realized, and the stress state of the structure can be changed, so that the precision and the reliability of the test result are influenced. Therefore, how to perform incomplete boundary condition mixing tests under limited laboratory resource conditions and obtain accurate and reliable test results is a key problem of mixing tests.
Disclosure of Invention
In order to solve the problem of incomplete boundary conditions in a hybrid test, the invention provides a hybrid test method and a hybrid test system for incomplete boundary conditions based on the recovery force correction of a test substructure.
Compared with a conventional hybrid test method, the incomplete boundary condition hybrid test method and the incomplete boundary condition hybrid test system based on the resilience correction of the test substructure provided by the invention have the advantages that two sets of numerical models (the numerical models are marked as proxy models, and the two sets of proxy models are simulated in a computer) are established for the test substructure, the boundary conditions of the first set of proxy models are completely met in numerical terms, and the boundary conditions of the second set of proxy models are the same as those of the test substructure in numerical terms.
The mixed test method of incomplete boundary conditions based on the resilience correction of a test substructure comprises the steps of carrying out mixed test on a structure, dividing the structure into a numerical value substructure and the test substructure in the mixed test, establishing two sets of proxy models for the test substructure, and simulating the numerical value substructure and the two sets of proxy models in a computer;
the first set of agent models are marked as SurModel _1 and set as complete boundary conditions;
the second set of agent model is marked as SurModel _2, is set to be the same boundary condition as the test substructure, and is an incomplete boundary condition;
and correcting the restoring force of the test substructure by using two sets of proxy models, wherein the correction formula is as follows: rE,i+1=RExpSub,i+1+RSurmodel_1,i+1-RSurmodel_2,i+1,RExpSub,i+1To test the restoring force of the substructure, RSurmodel_1,i+1Is the resilience, R, of the proxy model SurModel _1Surmodel_2,i+1Is the resilience, R, of the proxy model SurModel _2E,i+1To test the corrected restoring force of the substructure.
Further, the simulation process of the two sets of agent models in the computer is the same as the simulation process of the numerical substructure in the computer.
Further, the process of performing a mixing test on the structure comprises the steps of:
solving the structural dynamic equation at the i +1 th integral moment by using an integral algorithm to obtain all displacement commands x on the structural dynamic degree of freedomi+1=[xN,i+1 xE,i+1]T,xN,i+1For displacement commands corresponding to numerical substructures, xE,i+1For the test substructure displacement command for the complete boundary condition,
Figure BDA0003436483120000021
Figure BDA0003436483120000022
for the displacement command corresponding to the boundary condition that the test substructure fails to satisfy,
Figure BDA0003436483120000023
a displacement command corresponding to the boundary condition satisfied by the test substructure;
x is to bei+1Displacement commands divided into test substructures
Figure BDA0003436483120000024
Displacement command x of proxy model SurModel _1SurModel_1,i+1=xE,i+1Displacement command of the proxy model surfmodel _2
Figure BDA0003436483120000025
Sum value substructure displacement command xN,i+1Then respectively sending the data to a test substructure loading device, agent models SurModel _1 and SurModel _2 and a numerical substructure;
obtaining the restoring force R of the numerical substructure after the numerical substructure is calculatedN,i+1
After the proxy model SurModel _1 and the proxy model SurModel _2 are calculated, restoring force R is obtained respectivelySurmodel_1,i+1And RSurmodel_2,i+1
The loading equipment of the test substructure follows the displacement command xExpSub,i+1Driving the test piece to obtain the restoring force R of the test substructureExpSub,i+1
Restoring force R of two sets of proxy models SurModel _1 and SurModel _2 on a test substructureExpSub,i+1Correcting; and the corrected test substructure restoring force RE,i+1Sum value substructure restoring force RN,i+1And is carried into the structural dynamic equation.
Further, the structural dynamic equation is as follows
Figure BDA0003436483120000031
In the formula, M, C is a mass matrix and a damping matrix of the structure respectively; r is a restoring force vector of the structure, lower corner marks N and E respectively represent a numerical substructure and a test substructure, and the lower corner mark i +1 represents the i +1 th integration moment; x is the number ofi+1
Figure BDA0003436483120000032
And
Figure BDA0003436483120000033
respectively, the displacement vector, the velocity vector and the acceleration of the structure at the i +1 th integral momentA degree vector;
Figure BDA0003436483120000034
is the seismic acceleration vector.
Further, in the determination process of the structural dynamic equation, the structure needs to be discretized in a time domain and a space domain, and a numerical substructure and a test substructure are divided, so that the discrete structural dynamic equation is obtained.
Further, in the process of carrying out the mixing test, the corrected restoring force R of the test substructure is obtained when the (i + 1) th integral momentE,i+1Sum value substructure restoring force RN,i+1The corrected test substructure restoring force R is then usedE,i+1Sum value substructure restoring force RN,i+1And (4) substituting the structural dynamic equation into an i +1, repeatedly executing the structural dynamic equation at the i +1 th integration moment by using an integration algorithm, and obtaining all displacement commands x on the structural dynamic freedom degreei+1To the corrected physical specimen restoring force RE,i+1Sum value substructure restoring force RN,i+1And (5) carrying in a structural dynamic equation until the test is finished.
The incomplete boundary condition hybrid test system based on the test substructure resilience correction comprises a numerical substructure simulation module for simulating a numerical substructure, a test substructure simulation module for simulating the test substructure, a time integration algorithm module for solving a structural dynamic equation and obtaining a displacement command on a structural dynamic degree of freedom, equipment for loading the test substructure and communication equipment among the modules;
the hybrid test system further comprises a correction module for correcting the restoring force of the test substructure;
two sets of proxy models are established in the test substructure simulation module;
the first set of agent models are marked as SurModel _1 and set as complete boundary conditions;
the second set of agent model is marked as SurModel _2, is set to be the same boundary condition as the test substructure, and is an incomplete boundary condition;
root of modified moduleCorrecting the restoring force of the test substructure according to two sets of numerical models, wherein the correction formula is as follows: rE,i=RExpSub,i+RSurmodel_1,i-RSurmodel_2,i,RExpSub,iTest substructure resilience, R, for physical loadingSurmodel_1,iIs a first set of numerical substructure restoring forces, RSurmodel_2,iIs the second set of value substructure restoring forces, RE,iThe corrected test substructure restoring force.
Further, the process of simulating the two sets of agent models in the test substructure simulation module is the same as the process of simulating the numerical substructure in the numerical substructure simulation module.
Further, the hybrid test system further comprises a device for loading the test substructure according to the displacement command xExpSub,i+1Driving the test piece to obtain the restoring force R of the test substructureExpSub,i+1
Furthermore, the hybrid test system further comprises communication equipment for communication between the numerical substructure simulation module, the test substructure simulation module, the time integration algorithm module and equipment for loading the test substructure.
The invention has the beneficial effects that:
according to the incomplete boundary condition hybrid test method and system based on test substructure resilience correction, two sets of numerical models are established for a test substructure, the boundary condition of the first set of numerical models is complete, the boundary condition of the second set of numerical models is the same as the boundary condition of the test substructure and is an incomplete boundary condition, and the test substructure resilience with the incomplete boundary condition is corrected through the two sets of numerical models, so that the influence of the incomplete boundary condition on a test is weakened and eliminated, the precision and accuracy of a test result are improved, and the test cost is saved.
The method is suitable for the problem of incomplete boundary conditions of the mixing test caused by factors such as laboratory condition tension, difficulty in freedom degree control loading, difficulty in test expenditure and the like. The invention can also relate to other fields with the same problems, in particular to the fields of structural engineering, bridges, machinery, aerospace and the like.
Drawings
FIG. 1 is a basic schematic diagram of an incomplete boundary condition hybrid test method based on test substructure resilience correction;
FIG. 2 is a diagram of a two-layer two-span frame structure case;
FIG. 3 is a conventional hybrid test substructure division diagram, wherein FIG. 3(a) represents a test substructure and FIG. 3(b) represents a numerical substructure;
fig. 4 is a partial graph (taking a two-layer two-span framework structure as an example) of the incomplete boundary condition hybrid test method substructure based on the resilience correction of the test substructure, where fig. 4(a) is the substructure of the proxy model surfmodel _1 and the proxy model surfmodel _2, and fig. 4(b) is the numerical substructure.
Detailed Description
In order that the objects, aspects and advantages of the invention will become more apparent, the invention will be described by way of example only, and in connection with the accompanying drawings. It is to be understood that such description is merely illustrative and not intended to limit the scope of the present invention. It should be noted that, in order to avoid obscuring the present invention with unnecessary details, only the structures and/or processing steps closely related to the scheme according to the present invention are shown in the drawings, and other details not so relevant to the present invention are omitted.
The first embodiment is as follows:
the present embodiment is an incomplete boundary condition hybrid test method based on test substructure restoring force correction.
The conventional hybrid test divides the overall structure into a numerical substructure and a test substructure, and the numerical substructure is simulated in a computer by adopting finite element software and other modes;
the test sub-structure requires the loading task to be accomplished in the structural laboratory by a loading device, such as a hydraulic servo actuator. However, due to the limitation of laboratory conditions and the difficulty in controlling loading with freedom, the loading device can only complete boundary conditions which are easy to implement in the test substructure, and is difficult to satisfy all the boundary conditions of the test substructure, the unrealized boundary conditions will have great influence on the precision and reliability of the test result, even the test result is seriously deviated from reality, so that the test fails, the problem is called as an incomplete boundary condition problem, and the hybrid test method with the incomplete boundary condition problem is called as an incomplete boundary condition hybrid test method.
Therefore, according to the incomplete boundary condition hybrid test method and system based on the resilience correction of the test substructure, two sets of proxy models are established for the test substructure on the basis of a conventional hybrid test, the proxy models are simulated in a computer by adopting finite element software and the like, the first set of proxy model (marked as SurModel _1) is set as the complete boundary condition, and the second set of proxy model (marked as SurModel _2) is set as the boundary condition which is the same as that of the test substructure and is the incomplete boundary condition.
The numerical substructure and both sets of proxy models were simulated in a computer.
The two sets of proxy models correct the restoring force of the test substructure, and the correction formula is as follows: rE,i+1=RExpSub,i+1+RSurmodel_1,i+1-RSurmodel_2,i+1,RExpSub,i+1To test the restoring force of the substructure, RSurmodel_1,i+1Is the resilience, R, of the proxy model SurModel _1Surmodel_2,i+1Is the resilience, R, of the proxy model SurModel _2E,i+1To test the corrected restoring force of the substructure.
The embodiment is described with reference to fig. 1, and the incomplete boundary condition hybrid test method based on the test substructure restoring force correction according to the embodiment includes the following steps:
step one, dispersing two-layer two-span structures in a time domain and a space domain, and dividing a numerical substructure and a test substructure, wherein the test substructure is a bottom left column, and the numerical substructure is a residual structure, so as to obtain a dynamic equation of the discrete structure:
Figure BDA0003436483120000061
wherein M, C are each independently structuralA mass matrix and a damping matrix; r is the restoring force vector of the structure, and the lower corner marks N and E respectively represent a numerical substructure and a test substructure; x is the number ofi+1
Figure BDA0003436483120000062
And
Figure BDA0003436483120000063
respectively is a displacement vector, a velocity vector and an acceleration vector of the structure at the i +1 th integral moment;
Figure BDA0003436483120000064
is the seismic acceleration vector;
the complete boundary conditions of the test substructure are horizontal freedom degree, vertical freedom degree and rotational freedom degree, but due to factors such as laboratory condition limitation, difficulty in controlling and loading the freedom degree and the like, the test substructure can only realize the horizontal freedom degree and the vertical freedom degree and is an incomplete boundary condition;
step two, establishing two sets of proxy models for the test substructure in finite element software of a computer, wherein the first set of proxy models (marked as SurModel _1) realize control of horizontal freedom, vertical freedom and rotational freedom in the computer, namely complete boundary conditions are provided, and the second set of proxy models (marked as SurModel _2) only realize the same boundary conditions as the test substructure in the computer, namely horizontal and vertical freedom, and belong to incomplete boundary conditions;
step three, selecting an integral algorithm in a time integral algorithm module, such as a central difference algorithm, solving a structural dynamic equation at the i +1 th integral moment, and obtaining a displacement command x on the structural dynamic freedom degreei+1(xi+1=[xN,i+1 xE,i+1],xN,i+1For displacement commands corresponding to numerical substructures, xE,i+1For the test substructure displacement command for the complete boundary condition,
Figure BDA0003436483120000065
and
Figure BDA0003436483120000066
respectively corresponding displacement commands of the test substructure on the horizontal degree of freedom, the vertical degree of freedom and the rotational degree of freedom,
Figure BDA0003436483120000067
and
Figure BDA0003436483120000068
for the displacement commands corresponding to the boundary conditions for the implementation of the test sub-structure,
Figure BDA0003436483120000069
displacement commands corresponding to boundary conditions for which the test substructure fails to be realized), dividing the displacement commands into displacement commands for the test substructure
Figure BDA00034364831200000610
Displacement command of proxy model SurModel _1
Figure BDA00034364831200000611
Displacement command of proxy model SurModel _2
Figure BDA00034364831200000612
Sum value substructure displacement command xN,i+1(ii) a Then respectively sending the data to a test substructure loading device, agent models SurModel _1 and SurModel _2 and a numerical substructure;
step four, obtaining the restoring force R of the numerical value substructure after the computer finite element software simulation of the numerical value substructure is completedN,i+1Sending the data to a time integral algorithm module;
the numerical substructure calculation program is provided by computer finite element software, and is not described in detail in the present invention for the prior art.
Step five, after the computer simulation of establishing the agent model SurModel _1 and the agent model SurModel _2 is completed, restoring forces of the agent model SurModel _1 and the agent model SurModel _2 are simulated
Figure BDA0003436483120000071
And
Figure BDA0003436483120000072
sending the time integral to a time integral algorithm module;
the agent model SurModel _1 and the agent model SurModel _2 are arranged in the invention, and the boundary conditions of the two are different, so that the invention is specially arranged, the calculation programs of the two sets of agent models are provided by finite element software of a computer, the calculation process is the prior art, and is the same as the process of calculating the numerical substructure by the finite element software of the computer, and the embodiment does not excessively describe the specific calculation process.
Step six, the loading equipment of the test substructure performs the displacement command xExpSub,i+1Driving the test piece to obtain the restoring force of the test piece
Figure BDA0003436483120000073
And sends it to the time integral algorithm module;
for loading equipment, such as a hydraulic servo actuator, only a displacement command needs to be sent to the actuator, and the actuator can drive a test piece to realize the command.
Step seven, correcting the restoring force of the test substructure by adopting two sets of proxy models SurModel _1 and SurModel _2, wherein the correction formula is RE,i+1=RExpSub,i+1+RSurmodel_1,i+1-RSurmodel_2,i+1,RE,i+1To test the corrected restoring force of the substructure.
Step eight, restoring force R of the corrected test substructureE,i+1Sum value substructure restoring force RN,i+1The structural dynamic equation is substituted;
step nine, making i equal to i +1, and returning to the step three;
and step ten, repeating the step three to the step nine until the test is finished.
The second embodiment is as follows:
the embodiment is an incomplete boundary condition hybrid test system based on test substructure restoring force correction, which comprises a numerical substructure simulation module (abbreviated as a numerical substructure module in fig. 4 (b)), a test substructure simulation module (abbreviated as a test substructure module in fig. 4 (a)), a time integral algorithm module for solving a structural dynamic equation and obtaining a displacement command on structural dynamic freedom, a correction module for correcting the restoring force of the test substructure, equipment for loading the test substructure and communication equipment, wherein the numerical substructure simulation module simulates a numerical substructure;
the means for loading the test substructures being arranged to follow the displacement command xExpSub,i+1Driving the test piece to obtain the restoring force R of the test substructureExpSub,i+1(ii) a The communication equipment is used for communication among the modules and the equipment for loading the test substructure.
Two sets of proxy models are established in the test substructure simulation module;
the first set of agent models are marked as SurModel _1 and set as complete boundary conditions;
the second set of agent model is marked as SurModel _2, is set to be the same boundary condition as the test substructure, and is an incomplete boundary condition;
the correction module corrects the restoring force of the test substructure according to the two sets of numerical models, and the correction formula is as follows: rE,i=RExpSub,i+RSurmodel_1,i-RSurmodel_2,i,RExpSub,iTest substructure resilience, R, for physical loadingSurmodel_1,iIs a first set of numerical substructure restoring forces, RSurmodel_2,iIs the second set of value substructure restoring forces, RE,iThe corrected test substructure restoring force.
The process of simulating the two sets of agent models in the test substructure simulation module is the same as the process of simulating the numerical substructure in the numerical substructure simulation module.
Example (b):
and taking the two-layer two-span frame structure as a research object, and carrying out a test by using an incomplete boundary condition mixed test method based on the recovery force correction of a test substructure.
As shown in fig. 2, the two-layer two-span frame structure generally has a serious damage and destruction on the bottom layer, so that the bottom layer frame column is generally taken out as a test substructure and the rest is taken as a numerical substructure in a conventional hybrid test. For the present embodiment, the boundary conditions of the test substructure of the conventional hybrid test have three degrees of freedom, i.e., horizontal degree of freedom, vertical degree of freedom and rotational degree of freedom, so that three loading devices (i.e., hydraulic servo actuators) are required to complete the test loading task. Compared with the two degrees of freedom, namely horizontal and vertical degrees of freedom, the degree of freedom of rotation is difficult to control, the semi-column is generally assumed to be a section with a fixed recurved point, and therefore, the semi-column is selected as a test substructure to reduce the control of the degree of freedom of rotation, as shown in fig. 3. Wherein FIG. 3(a) represents the experimental substructure and FIG. 3(b) represents the numerical substructure. However, the position of the recurved bend point is dynamically changed, and the assumption that the position of the recurved bend point is fixed causes different stress states of the structure, so that the precision and the reliability of the test result are damaged. If the boundary of the test substructure has more degrees of freedom under the experimental condition, the test error is larger, and even the test result is seriously deviated, and the test fails. The invention provides an incomplete boundary condition hybrid test method and system based on resilience correction of a test substructure, wherein two sets of proxy models are established for the test substructure, and are respectively called a proxy model SurModel _1 and a proxy model SurModel _2, as shown in FIG. 4(a), and FIG. 4(b) is a numerical substructure. And correcting the restoring force of the test substructure through two sets of proxy models to weaken or eliminate the influence of incomplete boundary conditions on the test. The invention improves the precision and reliability of the test result, and reduces the test cost and the high requirement on equipment.
The foregoing shows and describes the general principles, essential features, and advantages of the invention. Although the present invention has been described in terms of preferred embodiments, it is not intended to be limited thereto, and the embodiments are merely illustrative of the field of structural engineering, and the method can be applied to the technical fields of bridges, transportation, aerospace, machinery, and the like. The embodiment illustrates that the method can be practically applied by way of example, is a method for providing effective tools for tests and research and development, and has popularization value. Various changes and modifications can be made by those skilled in the art without departing from the spirit and scope of the present invention, and these changes and modifications are intended to be included within the technical scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
The foregoing shows and describes the general principles and broad features of the present invention and advantages thereof. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.

Claims (10)

1. The incomplete boundary condition mixed test method based on the resilience correction of the test substructure is characterized in that a mixed test is carried out on the structure, in the mixed test, the structure is divided into a numerical value substructure and a test substructure, and two sets of proxy models are established for the test substructure; the numerical substructure and the two sets of proxy models are simulated in a computer;
the first set of agent models are marked as SurModel _1 and set as complete boundary conditions;
the second set of agent model is marked as SurModel _2, is set to be the same boundary condition as the test substructure, and is an incomplete boundary condition;
and correcting the restoring force of the test substructure by using two sets of proxy models, wherein the correction formula is as follows: rE,i+1=RExpSub,i+1+RSurmodel_1,i+1-RSurmodel_2,i+1,RExpSub,i+1To test the restoring force of the substructure, RSurmodel_1,i+1Is the resilience, R, of the proxy model SurModel _1Surmodel_2,i+1Is the resilience, R, of the proxy model SurModel _2E,i+1To test the corrected restoring force of the substructure.
2. The incomplete boundary condition hybrid test method based on test substructure resilience correction as claimed in claim 1, wherein the process simulated in the computer by the two sets of proxy models is the same as the process simulated in the computer by the numerical substructure.
3. The incomplete boundary condition blending test method based on the test substructure resilience correction according to claim 1 or 2, characterized in that the process of performing the blending test on the structure comprises the following steps:
solving the structural dynamic equation at the i +1 th integral moment by using an integral algorithm to obtain all displacement commands x on the structural dynamic degree of freedomi+1=[xN,i+1 xE,i+1]T,xN,i+1For displacement commands corresponding to numerical substructures, xE,i+1For the test substructure displacement command for the complete boundary condition,
Figure FDA0003436483110000011
Figure FDA0003436483110000012
for the displacement command corresponding to the boundary condition that the test substructure fails to satisfy,
Figure FDA0003436483110000013
a displacement command corresponding to the boundary condition satisfied by the test substructure;
x is to bei+1Displacement commands divided into test substructures
Figure FDA0003436483110000014
Displacement command x of proxy model SurModel _1SurModel_1,i+1=xE,i+1Displacement command of the proxy model surfmodel _2
Figure FDA0003436483110000015
Sum value substructure displacement command xN,i+1Then respectively sending the data to a test substructure loading device, agent models SurModel _1 and SurModel _2 and a numerical substructure;
obtaining the restoring force R of the numerical substructure after the numerical substructure is calculatedN,i+1
Agent model Surespectively obtaining restoring force R after the calculation of the rModel _1 and the proxy model SurModel _2 is completedSurmodel_1,i+1And RSurmodel_2,i+1
The loading equipment of the test substructure follows the displacement command xExpSub,i+1Driving the test piece to obtain the restoring force R of the test substructureExpSub,i+1
Correcting the restoring force of the test substructure by adopting two sets of proxy models SurModel _1 and SurModel _ 2; and the corrected test substructure restoring force RE,i+1Sum value substructure restoring force RN,i+1And is carried into the structural dynamic equation.
4. The incomplete boundary condition hybrid test method based on test substructure resilience correction as claimed in claim 3, wherein the structural dynamic equations are as follows
Figure FDA0003436483110000021
In the formula, M, C is a mass matrix and a damping matrix of the structure respectively; r is a restoring force vector of the structure, lower corner marks N and E respectively represent a numerical substructure and a test substructure, and the lower corner mark i +1 represents the i +1 th integration moment; x is the number ofi+1
Figure FDA0003436483110000022
And
Figure FDA0003436483110000023
respectively is a displacement vector, a velocity vector and an acceleration vector of the structure at the i +1 th integral moment;
Figure FDA0003436483110000024
is the seismic acceleration vector.
5. The incomplete boundary condition hybrid test method based on test substructure resilience correction as claimed in claim 4, wherein in the determination process of the structural dynamic equation, the structure needs to be discretized in time domain and space domain, and a numerical substructure and a test substructure are divided, so as to obtain a discrete structural dynamic equation.
6. The incomplete boundary condition blending test method based on test substructure restoring force correction as claimed in claim 5, wherein during the blending test, the restoring force R after the test substructure correction is obtained at the i +1 integral timeE,i+1Sum value substructure restoring force RN,i+1The corrected test substructure restoring force R is then usedE,i+1Sum value substructure restoring force RN,i+1And (4) substituting the structural dynamic equation into an i +1, repeatedly executing the structural dynamic equation at the i +1 th integration moment by using an integration algorithm, and obtaining all displacement commands x on the structural dynamic freedom degreei+1To the corrected test substructure restoring force RE,i+1Sum value substructure restoring force RN,i+1And (5) substituting the steps in the structural dynamic equation until the test is finished.
7. The incomplete boundary condition hybrid test system based on the test substructure resilience correction comprises a numerical substructure simulation module for simulating a numerical substructure, a test substructure simulation module for simulating the test substructure, and a time integration algorithm module for solving a structural dynamic equation and obtaining a displacement command on the structural dynamic degree of freedom;
the hybrid test system is characterized by further comprising a correction module for correcting the restoring force of the test substructure;
two sets of proxy models are established in the test substructure simulation module;
the first set of agent models are marked as SurModel _1 and set as complete boundary conditions;
the second set of agent model is marked as SurModel _2, is set to be the same boundary condition as the test substructure, and is an incomplete boundary condition;
the correction module corrects the restoring force of the test substructure according to two sets of numerical models, and the correction formula is:RE,i=RExpSub,i+RSurmodel_1,i-RSurmodel_2,i,RExpSub,iTest substructure resilience, R, for physical loadingSurmodel_1,iIs a first set of numerical substructure restoring forces, RSurmodel_2,iIs the second set of value substructure restoring forces, RE,iThe corrected test substructure restoring force.
8. The incomplete boundary condition hybrid test system based on test substructure resilience correction as recited in claim 7, wherein the process of simulating the two sets of agent models in the test substructure simulation module is the same as the process of simulating the numerical substructure in the numerical substructure simulation module.
9. The incomplete boundary condition hybrid test system based on test substructure resilience correction according to claim 7 or 8, characterized in that the hybrid test system further comprises a device for loading the test substructure in accordance with a displacement command xExpSub,i+1Driving the test piece to obtain the restoring force R of the test substructureExpSub,i+1
10. The trial substructure resilience-based incomplete boundary condition hybrid trial system of claim 9, further comprising communication equipment for communication between the numerical substructure simulation module, the trial substructure simulation module, the time integration algorithm module, and the equipment for loading the trial substructure.
CN202111616451.4A 2021-12-27 2021-12-27 Incomplete boundary condition hybrid test method and system based on test substructure resilience correction Pending CN114266183A (en)

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Publication number Priority date Publication date Assignee Title
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114818191A (en) * 2022-05-05 2022-07-29 哈尔滨工业大学 Real-time mixed test method based on vibration table-actuator combined multi-degree-of-freedom loading

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