CN113343536B - Method and device for establishing coupling model for earthquake-resistant analysis and coupling model - Google Patents
Method and device for establishing coupling model for earthquake-resistant analysis and coupling model Download PDFInfo
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Abstract
The invention discloses a method for establishing a coupling model for earthquake-resistant analysis, which comprises the following steps: respectively establishing three-dimensional models of the to-be-tested factory building and adjacent factory buildings; establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant; and respectively connecting the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation to obtain a coupling model of earthquake-resistant analysis. Correspondingly, a device for establishing the coupling model and the coupling model are also disclosed. The coupling model obtained by the building method considers the interaction among the structures, so that the accuracy of earthquake-resistant analysis is improved, the calculation cost is not obviously increased, and the calculation efficiency is improved.
Description
Technical Field
The invention belongs to the field of nuclear power, and particularly relates to a method and a device for establishing a coupling model for earthquake-proof analysis and the coupling model for earthquake-proof analysis.
Background
The result (floor reaction spectrum) of the earthquake-resistant analysis of the nuclear safety-related structures is the input of the earthquake-resistant design of the nuclear power plant system and equipment, so that the earthquake-resistant analysis of the structures plays an important role in the earthquake-resistant design of the nuclear power plant and plays a role in the earthquake-resistant safety level of the nuclear power plant.
In the earthquake-resistant analysis of structures, a reasonable structural analysis model is also important. In the original earthquake-proof analysis, a centralized parameter model obtained by a simple material mechanics principle is generally adopted as a structural model, and the mutual influence among the structure groups is not considered, so that the earthquake-proof safety of the nuclear power plant is ensured under the condition of limited calculation capacity; with the continuous improvement of the performance of a computer and the continuous improvement of the safety requirement, the accuracy of the earthquake resistance analysis also puts higher demands, so that a three-dimensional model with higher precision is gradually adopted as a structural analysis model. However, the large number of structures of the nuclear power plant are adjacent to each other, and the interaction among the structures is not neglected, so that the interaction among the structures needs to be considered in calculation; when the three-dimensional model is adopted, the calculation model is large in volume, long in calculation time consumption and low in efficiency, and has high requirements on computer hardware and software. Therefore, there is a need for a structural model that can ensure both accuracy and economical anti-seismic analysis to accurately, efficiently and quickly perform anti-seismic analysis of nuclear power plant structures.
Disclosure of Invention
The invention aims to solve the technical problems of the prior art, and provides a method and a device for establishing a coupling model of earthquake-resistant analysis and the coupling model of earthquake-resistant analysis, wherein the coupling model considers interaction among building groups, so that the accuracy of earthquake-resistant analysis is improved, the calculation cost is not obviously increased, and the calculation efficiency is improved.
In a first aspect, an embodiment of the present invention provides a method for establishing a coupling model for anti-seismic analysis, including: respectively establishing three-dimensional models of the to-be-tested factory building and adjacent factory buildings; establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant; and respectively connecting the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation to obtain a coupling model of earthquake-resistant analysis.
Preferably, the establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant specifically comprises: deducing floor quality information of each floor of the adjacent plant and parameters of an interlayer beam unit according to a structural mechanics virtual work principle and the three-dimensional model of the adjacent plant, wherein the floor quality information comprises mass, mass inertia and mass center position, and the parameters of the interlayer beam unit comprise cross section area, shearing area, cross section moment of inertia, torsion moment of inertia and rigidity center of the interlayer beam; and establishing a centralized parameter model of the adjacent plant according to floor quality information of each floor and parameters of the interlayer beam units to obtain the centralized parameter model consistent with dynamic characteristics of the adjacent plant, wherein the centralized parameter model comprises a quality unit, an interlayer beam unit, a rigidity center and a mass-free rigid beam unit between the quality unit and the interlayer beam unit.
Preferably, the establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant further comprises: and carrying out parameter adjustment on the established concentrated parameter model of the adjacent plant so as to enable the concentrated parameter model of the adjacent plant to be closer to the dynamic characteristics of the adjacent plant.
Preferably, the deriving the floor quality information and the parameters of the interlayer beam units of each floor of the adjacent plant according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant specifically includes:
s11, applying gravity acceleration on an Mth floor of a three-dimensional model adjacent to a factory building, and acquiring floor quality information of the Mth floor, wherein M is a positive integer;
s12, obtaining the cross-sectional area of the interlayer beam according to the cross-sectional areas of the wall body and the column body of the Mth floor;
s13, constraint is applied to the Mth floor, a rigid surface is established at the floor position of the Mth+1th floor, concentrated bending moment M P is applied, the corner is calculated, and the section moment of inertia of the interlayer beam is obtained according to the formula (1):
I is the section moment of inertia of the interlayer beam, H is the layer height, E is the elastic modulus, Is the average rotation angle;
S14, applying a horizontal concentrated load F on the floor position of the M+1th floor, calculating interlayer shear deformation delta Shear, and obtaining the shear area of the interlayer beam according to the formula (2):
A Shear is the shearing area of the interlayer beam, and G is the shearing modulus;
S15, applying concentrated torque T to the floor position of the M+1th floor to calculate the interlayer torsion angle And obtaining the torsional moment of inertia of the interlayer beam according to formula (3):
I P is the torsional moment of inertia of the interlayer beam;
S16, applying a horizontal concentrated load F to the floor position L of the M+1 floor, calculating torque T=F×delta according to the torsional deformation and the torsional moment of inertia of the floor position of the M+1 floor, deriving the distance delta=T/F of the concentrated load from the rigidity center, and obtaining the rigidity center according to the formula (4):
X＝Δ+L (4)
X is the rigidity center, L is the position of the concentrated load, and delta is the distance of the concentrated load from the rigidity center;
and when M is 1,2, … and k respectively, executing steps S11-S16 respectively to acquire floor quality information of all floors adjacent to the factory building and parameters of the interlayer beam units, wherein k is the total number of floors adjacent to the factory building.
Preferably, the building of the centralized parameter model adjacent to the factory building according to the floor quality information of each floor and the parameters of the interlayer beam units to obtain the centralized parameter model with consistent dynamic characteristics adjacent to the factory building specifically comprises:
S21, establishing a quality unit of the Mth floor according to the acquired floor quality information of the Mth floor so as to simulate the quality characteristics of the floor;
S22, establishing an interlayer beam unit between an M floor and an M+1 floor according to the acquired parameters of the interlayer beam unit so as to simulate the rigidity characteristic of the floor;
S23, connecting the mass unit and the interlayer beam unit by adopting a rigid beam unit without mass;
And when M is 1,2, … and k respectively, respectively executing the steps S21-S23 to build a centralized parameter model of the adjacent plant so as to obtain a centralized parameter model for simulating the floor dynamic characteristics of the adjacent plant by adopting the interlayer beam units and the quality units.
Preferably, the parameter adjustment for the centralized parameter model of the adjacent plant specifically includes: taking the whole three-dimensional model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the three-dimensional model adjacent to the factory building, establishing a rigid surface at the top of the three-dimensional model, and acquiring a first section moment of inertia and a first shearing area according to steps S13-S14; taking the whole concentrated parameter model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the concentrated parameter model, applying load at the upper end of the interlayer beam, and acquiring a second section moment of inertia and a second shearing area according to the steps S13-S14; respectively calculating a first ratio of the first section moment of inertia to the second section moment of inertia and a second ratio of the first shearing area to the second shearing area; multiplying the cross-sectional moment of inertia in the parameters of the interlayer beam units adjacent to each floor of the factory building by a first ratio to obtain an adjusted cross-sectional moment of inertia; multiplying the shearing area in the parameters of the interlayer beam units adjacent to each floor of the factory building by a second ratio to obtain an adjusted shearing area; and obtaining the adjusted centralized parameter model of the adjacent plant according to the adjusted section moment of inertia and the shearing area.
Preferably, the establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant further comprises: respectively calculating the self-vibration frequencies of a three-dimensional model of the plant to be measured and a centralized parameter model of an adjacent plant, and comparing the self-vibration frequencies of the three-dimensional model and the centralized parameter model; and when the difference value of the self-oscillation frequencies of the two is larger than a preset threshold value, carrying out parameter adjustment on the concentrated parameter model of the adjacent plant again until the difference value of the self-oscillation frequencies of the two is smaller than the preset threshold value.
Preferably, the connecting the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation respectively specifically includes: and connecting the three-dimensional model of the plant to be tested with the three-dimensional model of the raft foundation through a shared node, and connecting the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation through a rigid beam unit.
In a second aspect, an embodiment of the present invention further provides a coupling model of an earthquake-proof analysis established according to the method for establishing a coupling model of an earthquake-proof analysis of the first aspect.
In a third aspect, an embodiment of the present invention further provides an apparatus for establishing a coupling model for seismic analysis, where the apparatus includes a first modeling module, a second modeling module, and a connection module.
The first modeling module is used for respectively establishing three-dimensional models of the factory building to be tested and the adjacent factory building. The second modeling module is connected with the first modeling module and is used for establishing a concentrated parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant. The connecting module is connected with the first modeling module and the second modeling module and is used for respectively connecting the three-dimensional model of the factory building to be tested and the concentrated parameter model of the adjacent factory building with the three-dimensional model of the raft foundation so as to obtain a coupling model of earthquake-resistant analysis.
According to the method and the device for establishing the coupling model for the earthquake-proof analysis and the coupling model for the earthquake-proof analysis, the three-dimensional model is adopted to simulate the workshop to be measured so as to ensure the calculation precision of the workshop to be measured, and the improved centralized parameter model is deduced from the three-dimensional model of the adjacent workshop so as to simulate the dynamic characteristics of the adjacent workshop, so that the coupling model for the earthquake-proof analysis formed by combining the three-dimensional model and the improved centralized parameter model is obtained. Because the coupling model considers the interaction between the factory building to be tested and the adjacent factory building, the accuracy of the calculation result when the coupling model is subjected to earthquake-resistant analysis is ensured; compared with a three-dimensional model, the improved centralized parameter model adjacent to the factory building has the advantages of small calculation model quantity and high calculation efficiency, so that the calculation efficiency of carrying out earthquake-resistant analysis on the coupling model is improved.
Drawings
Fig. 1: a schematic diagram of a coupling model of embodiment 1 of the present invention;
Fig. 2: a flow chart of a method for establishing a coupling model for earthquake-resistant analysis in embodiment 1 of the present invention;
fig. 3: the three-dimensional finite element model schematic diagram of the nuclear island factory building in the embodiment 1 of the invention;
Fig. 4: a simplified calculation of flexural rigidity for example 1 of the present invention;
Fig. 5: a schematic diagram of a centralized parameter model in embodiment 1 of the present invention;
Fig. 6: and (3) a schematic diagram of a nuclear island factory building earthquake-resistant analysis coupling model corresponding to fig. 3.
In the figure, a 1-three-dimensional model; 2-centralizing the parameter model; 3-rigid beams; 21-mass units; 22-stiffness center; 23-interlayer beam units; 24-a mass-free rigid beam unit.
Detailed Description
The present invention will be described in further detail below with reference to the drawings and examples for better understanding of the technical scheme of the present invention to those skilled in the art.
The structural analysis model of the earthquake-proof analysis of the embodiment adopts a coupling model (as shown in fig. 1) of combining a three-dimensional finite element model and a centralized parameter model, and improves the establishment method of the centralized parameter model. The factory building to be tested adopts a three-dimensional model 1 to ensure the calculation accuracy; simulating the dynamic characteristics of adjacent plants by adopting a centralized parameter model 2; the three-dimensional model 1 and the centralized parameter model 2 are connected with a shared raft foundation, and the coupling model comprises a plant to be tested and a plant adjacent to the plant to be tested, so that the interaction among building groups is considered by the coupling model, and the coupling model has the beneficial effects of high accuracy and high calculation efficiency when being used for earthquake-resistant analysis due to small calculation amount of the centralized parameter model.
Example 1:
As shown in fig. 2, the present embodiment provides a method for establishing a coupling model for anti-seismic analysis, including:
Step 101, respectively establishing three-dimensional models of the factory building to be tested and the adjacent factory building.
In this embodiment, general finite element software (such as ANSYS or others) is used to build a three-dimensional finite element model of each plant (including the plant to be tested, the adjacent plants). As shown in fig. 3, the plant to be tested in this embodiment is a reactor plant. The to-be-measured plant refers to a plant to be subjected to subsequent earthquake-resistant analysis calculation, the adjacent plant refers to a plant adjacent to the to-be-measured plant, the number of adjacent plants can be multiple, in this embodiment, the calculation of adjacent plants refers to the calculation of one of the adjacent plants, and the calculation method is applicable to other adjacent plants. The three-dimensional finite element model adopts a shell unit to simulate wall and plate members, and adopts a beam unit to simulate beam and column members.
And 102, establishing a concentrated parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant.
Specifically, step 102 includes step S1021 and step S1022:
And S1021, deducing floor quality information of each floor of the adjacent plant and parameters of an interlayer beam unit according to a structural mechanics virtual work principle and the three-dimensional model of the adjacent plant, wherein the floor quality information comprises mass, mass inertia and mass center position, and the parameters of the interlayer beam unit comprise the cross section area, shearing area, cross section inertia moment, torsion inertia moment and rigidity center of the interlayer beam.
Since the centralized parameter model established according to the simple material mechanics principle in the prior art has the problem of lower accuracy, the present embodiment improves the existing method for establishing the centralized parameter model, and optionally, step S1021 includes steps S11-S17:
s11, applying gravity acceleration on an Mth floor of a three-dimensional model adjacent to a factory building, and acquiring floor quality information of the Mth floor, wherein M is a positive integer;
s12, obtaining the cross-sectional area of the interlayer beam according to the cross-sectional areas of the wall body and the column body of the Mth floor;
s13, constraint is applied to an Mth floor, a rigid surface is established at the floor position of an M+1th floor, a concentrated bending moment M P is applied, a corner is calculated, and the section moment of inertia of the interlayer beam is obtained according to the formula (1), wherein N is a positive integer:
I is the section moment of inertia of the interlayer beam, H is the layer height, E is the elastic modulus, Is a corner;
S14, applying a horizontal concentrated load F on the floor position of the M+1th floor, calculating interlayer shear deformation delta Shear, and obtaining the shear area of the interlayer beam according to the formula (2):
A Shear is the shearing area of the interlayer beam, and G is the shearing modulus;
S15, applying concentrated torque T to the floor position of the M+1th floor to calculate the interlayer torsion angle And obtaining the torsional moment of inertia of the interlayer beam according to formula (3):
I P is the torsional moment of inertia of the interlayer beam;
S16, applying a horizontal concentrated load F to the floor position L of the M+1 floor, calculating torque T=F×delta according to the torsional deformation and the torsional moment of inertia of the floor position of the M+1 floor, deriving the distance delta=T/F of the concentrated load from the rigidity center, and obtaining the rigidity center according to the formula (4):
X＝Δ+L (4)
X is the rigidity center, L is the position of the concentrated load, and delta is the distance of the concentrated load from the rigidity center;
And S17, respectively executing steps S11-S16 when M is respectively 1,2 and … to acquire floor quality information of each floor adjacent to the factory building and parameters of the interlayer beam units, wherein k is the total number of floors adjacent to the factory building. The magnitude of the horizontal concentrated load F in S14 may be the same as or different from that of the horizontal concentrated load F in S16.
In this embodiment, S11-S17 are specifically illustrated by taking the calculation of interlayer Liang Canshu between 1 st and 2 nd layers adjacent to the factory building as an example:
S11, extracting floor quality parameter information of the 1 st floor: selecting a corresponding unit of the first layer in an ANSYS three-dimensional model adjacent to a factory building, applying gravity acceleration, calculating and outputting a result to obtain the mass M= 1976.5 X10 3 kg of the layer, the mass center position Xc_mass= 38.857M and the mass inertia of the mass center of Yc_mass= -0.660M Ixx_mass＝337.8×106kg·m2、Iyy_mass＝106.3×106kg·m2、Izz_mass＝442.9×106kg·m2;
S12, obtaining the cross-sectional Area of the interlayer beam of the 1 st layer and the 2 nd layer: the cross-sectional AREA of the wall and the column of the layer is 217.68m 2 in the structural arrangement diagram, namely the cross-sectional AREA of the interlayer beam is area= 217.68m 2;
S13, obtaining the section moments of inertia Ixx and Iyy of the interlayer beams of the 1 st layer and the 2 nd layer: in the three-dimensional model of the adjacent factory building, constraints are built at the position of the node of the 1 st layer, a rigid surface is built at the position of the floor of the 2 nd layer so as to coordinate the deformation of the node in the plane, a unit bending moment Mpx=1 around the X axis is applied, a representative node is selected at the position of the floor of the 2 nd layer to read the displacement result U Z1、UZ2 and the distance h between the two (as shown in fig. 4), in the example, U Z1＝4.00×10-14m、UZ2＝-3.67×10-14 m and h=30.34 m are obtained Preferably, in this embodiment, representative N nodes (such as a plurality of nodes on a straight line) are selected, N is a positive integer greater than 1, and the average rotation angle/>, is calculatedAnd the elastic modulus e=3.25× 4 MPa and the layer height h=3.4m of the concrete, ixx= 41589.55m 4 can be obtained according to formula (1); similarly, the average rotation angle/>, can be calculated by applying a unit bending moment mpy=1 around the Y-axisFurther, iyy= 12796.22m 4 was obtained; angular displacement/>, in the present embodimentThe average value obtained by calculation of N nodes is adopted, and the purpose is to improve the accuracy of the centralized parameter model;
S14, obtaining shearing areas ShearX and ShearY of interlayer beams of the 1 st layer and the 2 nd layer: similar to step S13, applying unit forces in the X and Y directions to the 2 nd floor, calculating an average interlaminar shear deformation result in the X and Y directions as Δ Shear-X＝2.40×10-12m、ΔShear-Y＝2.19×10-12 m, and calculating a shear area in the X and Y directions ShearX = 108.97m 2、ShearY＝119.33m2 according to formula (2);
S15, obtaining the torsional moment of inertia Izz of the interlayer beam of the 1 st layer and the 2 nd layer: similar to step S13, unit torque is applied to each of the floor boards of layer 2, and the average interlayer torsion angle is calculated as From equation (3), the torque moment of inertia izz= 36611.37m 4 thereof can be obtained;
S16, obtaining rigidity centers Xc and Yc of the interlayer beams of the 1 st layer and the 2 nd layer: similar to step S15, applying fy=1 unit force to the node of the layer 2 floor along x=41.3m, and obtaining torque t= -1.625n·m, rigidity center distance x=41.3 m is Δ=t/f= -1.625m, and thus X-direction rigidity center xc=41.3+ (-6.125) = 39.675m from torsional deformation (-1.16×10 14) and torsional moment of inertia; similarly, yc= -0.76m can be calculated;
And S17, repeating the steps S11 to S16 to obtain the quality of each floor of the adjacent factory building and the parameters of the interlayer beam units. The automatic calculation of steps S11 to S16 can be realized in ANSYS by compiling a command stream using the APDL language, and the automatic calculation can make the calculation simpler and more convenient, thereby improving the model generation efficiency.
Step S1022, a centralized parameter model of the adjacent plant is built according to the floor quality information of each floor and the parameters of the interlayer beam units to obtain a centralized parameter model consistent with the dynamic characteristics of the adjacent plant, wherein the centralized parameter model comprises a mass unit 21, an interlayer beam unit 23, a rigidity center 22 and a mass-free rigid beam unit 24 between the mass unit and the interlayer beam unit as shown in FIG. 5.
Optionally, a corresponding centralized parameter model is built according to the floor quality information of each floor and the parameters of the interlayer beam units obtained in the step S1021, and the method specifically comprises the steps S21-S24:
S21, establishing a quality unit of the Mth floor according to the acquired floor quality information of the Mth floor so as to simulate the quality characteristics of the floor;
S22, establishing an interlayer beam unit between an M floor and an M+1 floor according to the acquired parameters of the interlayer beam unit so as to simulate the rigidity characteristic of the floor;
S23, connecting the mass unit and the interlayer beam unit by adopting a rigid beam unit without mass;
And S24, respectively executing the steps S21-S23 to build a centralized parameter model of the adjacent plant when M is respectively 1,2 and …, so as to obtain the centralized parameter model for simulating the floor dynamic characteristics of the adjacent plant by adopting the interlayer beam units and the quality units.
In this embodiment, taking the 1 st to 2 nd layers of a certain adjacent plant as an example, establishing the centralized parameter model of the plant according to the parameter information obtained in step S1021 includes:
S21, establishing a mass unit of a layer 1 (elevation z 1): establishing a mass cell at its centroid location (38.857, -0.660, z 1), the cell real constant comprising three directional masses 1976.5 x 10 3 kg, three mass inertias 337.8 x 10 6kg·m2、106.3×106kg·m2 and 442.9 x 10 6kg·m2;
s22, establishing an interlayer beam unit of the 1 st layer and the 2 nd layer: establishing a mass-free elastic interlayer beam unit between its stiffness centre locations (39.675, -0.76, z 1) and (39.675, -0.76, z 2), the material and cross-sectional properties of the interlayer beam unit comprising: mass density 0, elastic modulus e=3.25×10 4 MPa, cross-sectional AREA area= 217.68m 2, cross-sectional moment of inertia ixx= 41589.55m 4、Iyy＝12796.22m4, moment of inertia izz= 36611.37m 4, shear AREA ShearX = 108.97m 2、ShearY＝119.33m2;
S23, connecting a mass unit and an interlayer beam unit by adopting a rigid beam unit without mass: as shown in fig. 5, a rigid beam unit without mass is established between the lower ends of the layer 1 mass unit and the interlayer beam unit, namely, between (38.857, -0.660, z 1) and (39.675, -0.76, z 1), and the material and section properties of the rigid beam unit mainly comprise: mass density is 0, elastic modulus e=3.25×10 10 MPa; similarly, the upper end of the interlayer beam unit is connected with the layer 2 mass unit by adopting a rigid beam unit without mass;
s24, repeating the steps S21 to S23, and establishing mass units, interlayer beam units and rigid beam units of other layers of the adjacent plant to obtain the centralized parameter model of the adjacent plant. Since there are interactions and effects between adjacent plants and plants to be tested in the event of an earthquake, and the effects and effects cannot be neglected. Therefore, the centralized parameter model of the adjacent plants and the three-dimensional model of the plant to be tested are combined into a coupling model, the obtained coupling model can be used for carrying out earthquake-proof analysis on the plant to be tested, interaction among the plants is considered, and high accuracy and high calculation efficiency of earthquake-proof analysis results are ensured.
In order to enable the centralized parameter model adjacent to the factory building to be closer to the dynamic characteristics of the actual factory building or the three-dimensional model of the actual factory building, parameter adjustment is carried out on the obtained centralized parameter model, so that the calculation result of the coupling model in anti-seismic analysis is higher in accuracy. Optionally, establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the first three-dimensional model further comprises:
Step S1023, parameter adjustment is performed on the established centralized parameter model of the adjacent plant so that the centralized parameter model of the adjacent plant is closer to the dynamic characteristics of the adjacent plant.
Specifically, step S1023 includes step S31 to step S36:
S31, taking the whole three-dimensional model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the three-dimensional model adjacent to the factory building, establishing a rigid surface at the top of the three-dimensional model, and acquiring a first section moment of inertia and a first shearing area according to steps S13-S14;
s32, taking the whole concentrated parameter model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the concentrated parameter model, applying load at the upper end of the interlayer beam, and acquiring a second section moment of inertia and a second shearing area according to the steps S13-S14;
S33, respectively calculating a first ratio of the first section moment of inertia to the second section moment of inertia and a second ratio of the first shearing area to the second shearing area;
S34, multiplying the section moment of inertia in the parameters of the interlayer beam units adjacent to each floor of the factory building by a first ratio to obtain an adjusted section moment of inertia;
s35, multiplying the shearing area in the parameters of the interlayer beam units adjacent to each floor of the factory building by a second ratio to obtain an adjusted shearing area;
s36, obtaining the adjusted centralized parameter model of the adjacent plant according to the adjusted section moment of inertia and the shearing area.
In this embodiment, performing parameter adjustment on the centralized parameter model acquired in step S21 to step S24 specifically includes:
S31, aiming at the three-dimensional model of the adjacent plant, taking the whole adjacent plant as an 'interlayer beam', establishing constraint at the bottom of the plant and rigid surface at the roof to obtain the section moment of inertia Ixx_3D= 35152.28m 4、Iyy_3D＝10193.33m4 of the whole plant, and shearing Area area_sx_3D= 62.22m 2、Area_sy_3D＝73.76m2;
S32, similar to step S31, for the centralized parameter model of the adjacent plant, ixx_stick= 37242.64m 4、Iyy_stick＝10827.34m4 and shear Area area_sx_stick= 91.83m 2、Area_sy_stick＝99.29m2 can be obtained;
s33, the ratio of the section moments of inertia Ixx_3D, ixx _stick calculated in the step S31 and the step S32 is the adjustment coefficient of the centralized parameter model, and C_Ixx= 35152.28/37242.64 =0.944; similar computable: c_iyy=0.941, c_shearx=0.678, c_sheary= 0.743;
S34, adjusting parameters of each layer of the centralized parameter model by adopting the coefficients calculated in the step S33: the section properties of the interlayer beams of the 1 st layer and the 2 nd layer after adjustment in the embodiment are as follows: the cross-sectional moment of inertia ixx= 41589.55 ×0.944= 39260.54m 4、Iyy＝12796.22×0.941＝12041.24m4, and the adjusted shear area ShearX = 108.97 ×0.678= 73.88m 2、ShearY＝119.33×0.743＝88.66m2.
Optionally, establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the first three-dimensional model further comprises: respectively calculating the self-vibration frequencies of a three-dimensional model of the plant to be measured and a centralized parameter model of an adjacent plant, and comparing the self-vibration frequencies of the three-dimensional model and the centralized parameter model; and when the difference value of the self-oscillation frequencies of the two is larger than a preset threshold value, carrying out parameter adjustment on the concentrated parameter model of the adjacent plant again until the difference value of the self-oscillation frequencies of the two is smaller than the preset threshold value.
In this embodiment, in order to further make the dynamic characteristics of the centralized parameter model consistent with those of the actual plant or the three-dimensional model of the plant, it is determined whether the parameters of the centralized parameter model need to be readjusted by verifying the self-oscillation frequency. The method comprises the following steps: the self-vibration frequencies of the three-dimensional model and the centralized parameter model are calculated respectively, the first-order self-vibration frequencies of the three-dimensional model in the X direction and the first-order self-vibration frequencies of the centralized quality rod model in the Y direction are 4.10Hz and 5.33Hz respectively, and the first-order self-vibration frequencies of the centralized quality rod model in the X direction and the first-order self-vibration frequencies of the centralized quality rod model in the Y direction are 4.23Hz and 5.45Hz respectively; the difference of the natural vibration frequencies of the concentrated quality rod model and the three-dimensional model is within 5%, so that the concentrated parameter model can be judged to reflect the dynamic characteristics of a structure (adjacent to a factory building); and when the difference between the self-vibration frequencies exceeds 5%, the parameters of the concentrated parameter model are readjusted until the concentrated parameter model of each adjacent factory building meeting the requirements is obtained.
And step 103, respectively connecting the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation to obtain a coupling model for earthquake-resistant analysis.
Specifically, the three-dimensional model of the plant to be tested and the three-dimensional model of the raft foundation are connected through a common node, and the centralized parameter model of the adjacent plant and the three-dimensional model of the raft foundation are connected through a rigid beam unit 3. Preferably, the rigid beam units are in a shape of a Chinese character 'mi', so that the load of the plant is uniformly distributed on the raft foundation, and the stress concentration at the connection position of the concentrated parameter model and the raft foundation is reduced. As shown in fig. 6, a coupling model corresponding to fig. 3 is established.
According to the method for establishing the coupling model for the earthquake-proof analysis, the three-dimensional model is adopted to simulate the workshop to be tested, so that the dynamic characteristics of the workshop to be tested are simulated more truly, and the accuracy of the earthquake-proof analysis is improved greatly; the adjacent plants adopt the simulation of the centralized parameter model, so that the coupling model formed by combining the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plants not only considers the influence between the adjacent plants and the plant to be tested, but also does not obviously increase the calculation cost, thereby ensuring the calculation accuracy and improving the calculation efficiency. In addition, the centralized parameter model of the adjacent factory building obtained by deducting the three-dimensional model according to the principle of the structural mechanics virtual work can reflect the dynamic characteristics of the structure more accurately compared with the traditional centralized parameter model obtained based on the principle of the material mechanics. By adjusting the parameters of the centralized parameter model, the centralized parameter model is closer to the dynamic characteristics of the actual situation, so that the calculation accuracy of the coupling model is improved.
Example 2:
The present embodiment provides a coupling model of earthquake-proof analysis established according to the method for establishing a coupling model of earthquake-proof analysis of embodiment 1. And carrying out earthquake-resistant analysis and structural calculation on the structure of the coupling model.
Example 3:
the embodiment provides a device for establishing a coupling model for earthquake-resistant analysis, which comprises a first modeling module, a second modeling module and a connecting module.
The first modeling module is used for respectively establishing three-dimensional models of the factory building to be tested and the adjacent factory building. The second modeling module is connected with the first modeling module and is used for establishing a concentrated parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant. The connecting module is connected with the first modeling module and the second modeling module and is used for respectively connecting the three-dimensional model of the factory building to be tested and the concentrated parameter model of the adjacent factory building with the three-dimensional model of the raft foundation so as to obtain a coupling model of earthquake-resistant analysis.
Optionally, the second modeling module comprises a deriving unit and a modeling unit.
The deriving unit is used for deriving floor quality information of each floor adjacent to the factory building and parameters of the interlayer beam unit according to the structural mechanics virtual work principle and a three-dimensional model adjacent to the factory building, wherein the floor quality information comprises mass, mass inertia and mass center position, and the parameters of the interlayer beam unit comprise the cross section area, shearing area, cross section inertia moment, torsion inertia moment and rigidity center of the interlayer beam.
The modeling unit is connected with the deriving unit and is used for establishing a centralized parameter model of the adjacent plant according to floor quality information of each floor and parameters of the interlayer beam units so as to obtain the centralized parameter model consistent with dynamic characteristics of the adjacent plant, wherein the centralized parameter model comprises a quality unit, the interlayer beam units, a rigidity center and a mass-free rigid beam unit between the quality unit and the interlayer beam units.
Optionally, the second modeling module further comprises an optimization unit.
And the optimizing unit is connected with the deriving unit and the modeling unit and is used for carrying out parameter adjustment on the established concentrated parameter model of the adjacent plant so as to enable the concentrated parameter model of the adjacent plant to be closer to the dynamic characteristics of the adjacent plant.
Optionally, the second modeling module further comprises a verification unit.
The verification unit is connected with the first modeling module and the optimization unit and is used for respectively calculating the self-vibration frequencies of the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant and comparing the self-vibration frequencies of the three-dimensional model and the centralized parameter model of the adjacent plant; and when the difference value of the self-oscillation frequencies of the two is larger than a preset threshold value, carrying out parameter adjustment on the concentrated parameter model of the adjacent plant again until the difference value of the self-oscillation frequencies of the two is smaller than the preset threshold value.
Optionally, the connection module includes a first connection unit and a second connection unit.
The first connecting unit is connected with the first modeling module and is used for connecting the three-dimensional model of the factory building to be tested and the three-dimensional model of the raft foundation through a shared node.
And the second connecting unit is connected with the second modeling module and is used for connecting the concentrated parameter model adjacent to the factory building with the three-dimensional model of the raft foundation through the rigid beam unit.
It is to be understood that the above embodiments are merely illustrative of the application of the principles of the present invention, but not in limitation thereof. Various modifications and improvements may be made by those skilled in the art without departing from the spirit and substance of the invention, and are also considered to be within the scope of the invention.
Claims (8)
1. The method for establishing the coupling model of the earthquake-resistant analysis is characterized by comprising the following steps of:
respectively establishing three-dimensional models of the to-be-tested factory building and adjacent factory buildings;
establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant;
the three-dimensional model of the factory building to be tested and the centralized parameter model of the adjacent factory building are respectively connected with the three-dimensional model of the raft foundation to obtain a coupling model of earthquake-proof analysis,
Wherein, according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant, a centralized parameter model consistent with the dynamic characteristics of the adjacent plant is established, which comprises the following steps:
Deducing floor quality information of each floor of the adjacent plant and parameters of an interlayer beam unit according to a structural mechanics virtual work principle and the three-dimensional model of the adjacent plant, wherein the floor quality information comprises mass, mass inertia and mass center position, and the parameters of the interlayer beam unit comprise cross section area, shearing area, cross section moment of inertia, torsion moment of inertia and rigidity center of the interlayer beam;
Establishing a centralized parameter model of adjacent plants according to floor quality information of each floor and parameters of the interlayer beam units to obtain the centralized parameter model consistent with dynamic characteristics of the adjacent plants, wherein the centralized parameter model comprises a mass unit, an interlayer beam unit, a rigidity center and a mass-free rigid beam unit between the mass unit and the interlayer beam unit,
Deducing floor quality information of each floor of the adjacent plant and parameters of an interlayer beam unit according to a structural mechanics virtual work principle and the three-dimensional model of the adjacent plant, wherein the method specifically comprises the following steps:
s11, applying gravity acceleration on an Mth floor of a three-dimensional model adjacent to a factory building, and acquiring floor quality information of the Mth floor, wherein M is a positive integer;
s12, obtaining the cross-sectional area of the interlayer beam according to the cross-sectional areas of the wall body and the column body of the Mth floor;
S13, constraint is applied to an Mth floor, a rigid surface is established at the floor position of an M+1th floor, a concentrated bending moment M P is applied, a corner is calculated, and the section moment of inertia of the interlayer beam is obtained according to the formula (1), wherein:
I is the section moment of inertia of the interlayer beam, H is the layer height, E is the elastic modulus, Is a corner;
S14, applying a horizontal concentrated load F on the floor position of the M+1th floor, calculating interlayer shear deformation delta Shear, and obtaining the shear area of the interlayer beam according to the formula (2):
A Shear is the shearing area of the interlayer beam, and G is the shearing modulus;
S15, applying concentrated torque T to the floor position of the M+1th floor to calculate the interlayer torsion angle And obtaining the torsional moment of inertia of the interlayer beam according to formula (3):
I P is the torsional moment of inertia of the interlayer beam;
S16, applying a horizontal concentrated load F to the floor position L of the M+1 floor, calculating torque T=F×delta according to the torsional deformation and the torsional moment of inertia of the floor position of the M+1 floor, deriving the distance delta=T/F of the concentrated load from the rigidity center, and obtaining the rigidity center according to the formula (4):
X＝Δ+L (4)
X is the rigidity center, L is the position of the concentrated load, and delta is the distance of the concentrated load from the rigidity center;
and when M is 1,2, … and k respectively, executing steps S11-S16 respectively to acquire floor quality information of all floors adjacent to the factory building and parameters of the interlayer beam units, wherein k is the total number of floors adjacent to the factory building.
2. The method for building a coupling model for earthquake-proof analysis according to claim 1, wherein the building a centralized parameter model consistent with the dynamic characteristics of the adjacent plant according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plant further comprises:
And carrying out parameter adjustment on the established concentrated parameter model of the adjacent plant so as to enable the concentrated parameter model of the adjacent plant to be closer to the dynamic characteristics of the adjacent plant.
3. The method for building the coupling model for the earthquake-proof analysis according to claim 1, wherein the building the centralized parameter model of the adjacent plant according to the floor quality information of each floor and the parameters of the interlayer beam units to obtain the centralized parameter model with consistent dynamic characteristics of the adjacent plant specifically comprises:
S21, establishing a quality unit of the Mth floor according to the acquired floor quality information of the Mth floor so as to simulate the quality characteristics of the floor;
S22, establishing an interlayer beam unit between an M floor and an M+1 floor according to the acquired parameters of the interlayer beam unit so as to simulate the rigidity characteristic of the floor;
S23, connecting the mass unit and the interlayer beam unit by adopting a rigid beam unit without mass;
And when M is 1,2, … and k respectively, respectively executing the steps S21-S23 to build a centralized parameter model of the adjacent plant so as to obtain a centralized parameter model for simulating the floor dynamic characteristics of the adjacent plant by adopting the interlayer beam units and the quality units.
4. The method for building the coupling model for earthquake-proof analysis according to claim 2, wherein the parameter adjustment is performed on the centralized parameter model of the adjacent plant, specifically comprising:
taking the whole three-dimensional model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the three-dimensional model adjacent to the factory building, establishing a rigid surface at the top of the three-dimensional model, and acquiring a first section moment of inertia and a first shearing area according to steps S13-S14;
taking the whole concentrated parameter model adjacent to the factory building as an interlayer beam, establishing constraint at the bottom of the concentrated parameter model, applying load at the upper end of the interlayer beam, and acquiring a second section moment of inertia and a second shearing area according to the steps S13-S14;
respectively calculating a first ratio of the first section moment of inertia to the second section moment of inertia and a second ratio of the first shearing area to the second shearing area;
multiplying the cross-sectional moment of inertia in the parameters of the interlayer beam units adjacent to each floor of the factory building by a first ratio to obtain an adjusted cross-sectional moment of inertia;
multiplying the shearing area in the parameters of the interlayer beam units adjacent to each floor of the factory building by a second ratio to obtain an adjusted shearing area;
and obtaining the adjusted centralized parameter model of the adjacent plant according to the adjusted section moment of inertia and the shearing area.
5. The method for building a coupling model for earthquake-proof analysis according to claim 4, wherein the building a centralized parameter model consistent with the dynamic characteristics of the adjacent plants according to the principle of structural mechanics virtual work and the three-dimensional model of the adjacent plants further comprises:
respectively calculating the self-vibration frequencies of a three-dimensional model of the plant to be measured and a centralized parameter model of an adjacent plant, and comparing the self-vibration frequencies of the three-dimensional model and the centralized parameter model;
And when the difference value of the self-oscillation frequencies of the two is larger than a preset threshold value, carrying out parameter adjustment on the concentrated parameter model of the adjacent plant again until the difference value of the self-oscillation frequencies of the two is smaller than the preset threshold value.
6. The method for building the coupling model for earthquake-proof analysis according to claim 5, wherein the connecting the three-dimensional model of the plant to be tested and the centralized parameter model of the adjacent plant with the three-dimensional model of the raft foundation respectively comprises the following steps:
connecting the three-dimensional model of the plant to be tested with the three-dimensional model of the raft foundation through a shared node,
And connecting the concentrated parameter model adjacent to the factory building with the three-dimensional model of the raft foundation through a rigid beam unit.
7. A coupling model of a seismic analysis established according to the method of establishing a coupling model of a seismic analysis according to any one of claims 1-6.
8. The device for establishing the coupling model of the earthquake-resistant analysis is characterized by comprising a first modeling module, a second modeling module and a connecting module,
A first modeling module for respectively establishing three-dimensional models of the factory building to be tested and the adjacent factory building,
A second modeling module connected with the first modeling module for establishing a centralized parameter model consistent with the dynamic characteristics of the adjacent plants according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plants,
The connecting module is connected with the first modeling module and the second modeling module and is used for respectively connecting the three-dimensional model of the factory building to be tested and the concentrated parameter model of the adjacent factory building with the three-dimensional model of the raft foundation so as to obtain a coupling model of earthquake-resistant analysis,
Wherein the second modeling module comprises a deriving unit and a modeling unit,
A deduction unit for deducting floor quality information of each floor of the adjacent plant and parameters of the interlayer beam unit according to the structural mechanics virtual work principle and the three-dimensional model of the adjacent plant, wherein the floor quality information comprises mass, mass inertia and mass center position, the parameters of the interlayer beam unit comprise the cross section area, shearing area, cross section inertia moment, torsion inertia moment and rigidity center of the interlayer beam,
A modeling unit connected with the deriving unit for establishing a centralized parameter model of the adjacent plant according to the floor quality information of each floor and the parameters of the interlayer beam units to obtain a centralized parameter model consistent with the dynamic characteristics of the adjacent plant, wherein the centralized parameter model comprises a quality unit, an interlayer beam unit, a rigidity center and a non-quality rigid beam unit between the quality unit and the interlayer beam unit,
The deduction unit is specifically used for executing the following steps:
s11, applying gravity acceleration on an Mth floor of a three-dimensional model adjacent to a factory building, and acquiring floor quality information of the Mth floor, wherein M is a positive integer;
s12, obtaining the cross-sectional area of the interlayer beam according to the cross-sectional areas of the wall body and the column body of the Mth floor;
S13, constraint is applied to an Mth floor, a rigid surface is established at the floor position of an M+1th floor, a concentrated bending moment M P is applied, a corner is calculated, and the section moment of inertia of the interlayer beam is obtained according to the formula (1), wherein:
I is the section moment of inertia of the interlayer beam, H is the layer height, E is the elastic modulus, Is a corner;
S14, applying a horizontal concentrated load F on the floor position of the M+1th floor, calculating interlayer shear deformation delta Shear, and obtaining the shear area of the interlayer beam according to the formula (2):
A Shear is the shearing area of the interlayer beam, and G is the shearing modulus;
S15, applying concentrated torque T to the floor position of the M+1th floor to calculate the interlayer torsion angle And obtaining the torsional moment of inertia of the interlayer beam according to formula (3):
I P is the torsional moment of inertia of the interlayer beam;
S16, applying a horizontal concentrated load F to the floor position L of the M+1 floor, calculating torque T=F×delta according to the torsional deformation and the torsional moment of inertia of the floor position of the M+1 floor, deriving the distance delta=T/F of the concentrated load from the rigidity center, and obtaining the rigidity center according to the formula (4):
X＝Δ+L (4)
X is the rigidity center, L is the position of the concentrated load, and delta is the distance of the concentrated load from the rigidity center;
and when M is 1,2, … and k respectively, executing steps S11-S16 respectively to acquire floor quality information of all floors adjacent to the factory building and parameters of the interlayer beam units, wherein k is the total number of floors adjacent to the factory building.
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