CN112257236A - Application method of seismic acceleration response amplification coefficient in seismic response - Google Patents

Application method of seismic acceleration response amplification coefficient in seismic response Download PDF

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CN112257236A
CN112257236A CN202011061649.6A CN202011061649A CN112257236A CN 112257236 A CN112257236 A CN 112257236A CN 202011061649 A CN202011061649 A CN 202011061649A CN 112257236 A CN112257236 A CN 112257236A
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CN112257236B (en
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谭晓惠
张攀
苏卫岗
高泉源
那福利
周拥辉
孙开宝
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China General Nuclear Power Corp
CGN Power Co Ltd
Suzhou Nuclear Power Research Institute Co Ltd
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CGN Power Co Ltd
Suzhou Nuclear Power Research Institute Co Ltd
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Abstract

The invention discloses an application method of seismic acceleration response amplification coefficient of equipment on a pipeline in seismic response, for rigid equipment on the pipeline only needing to keep integrity, envelope acceleration derived based on the seismic acceleration response amplification coefficient is as follows aenvγ × ZPA; in the formula, aenvEnvelope acceleration, gamma is the seismic acceleration response amplification coefficient of equipment on a pipeline, and ZPA is the seismic response spectrum zero period acceleration; for equipment on a pipeline, which needs to verify operability through an anti-seismic test in anti-seismic identification, a floor reaction spectrum is adjusted through an amplification factor gamma and is used as seismic input of the anti-seismic test; the adjustment method is to multiply the ZPA of the original floor reaction spectrum by an amplification factor gamma to obtain the ZPA of a new floor reaction spectrum, and the spectrum values of other control points are kept unchanged.The application method of the seismic acceleration response amplification coefficient of the equipment on the pipeline in the seismic response can conveniently determine the seismic load input with certain conservatism, simultaneously can avoid excessive conservation, and reduces the manufacturing cost.

Description

Application method of seismic acceleration response amplification coefficient in seismic response
Technical Field
The invention particularly relates to an application method of a seismic acceleration response amplification coefficient in seismic response.
Background
Nuclear power plants have a large number of nuclear grade instruments and valves installed on the pipeline. To demonstrate the shock resistance required by the design of these meters or valves (collectively referred to herein as devices), it is often necessary to perform a shock resistance certification on them. The correctness of the earthquake load input of the equipment in earthquake-resistant identification directly relates to the validity of the earthquake-resistant identification result. The seismic load input of the nuclear-grade valve generally adopts a seismic response spectrum with a peak value of about 4.5 g; in order for some nuclear level instruments to be sufficiently conservative, seismic load inputs even employ seismic response spectra peaking up to 30 g.
The "6.3.5 Required Input Movement (RIM) is specified in figure 1 as described in the specification EJ1022.15-1996 test for earthquake resistance of valves in pressurized water reactor nuclear power plants, the acceleration values in figure 1 do not envelop the requirements of all nuclear power plants. The acceleration value for the required input motion for valve identification for a particular nuclear power plant is determined by the valve specification ". However, when a design institute submits a specification to a valve manufacturer or an instrument manufacturer, a specific acceleration spectrum or acceleration value is not required. This presents a difficult problem for the manufacturer to meet the shock resistance required by the design of the produced product. Meanwhile, when the earthquake resistance of the products is identified, earthquake load input of the products also becomes a difficult problem. The key to the problem is that these devices are not mounted directly to the plant floor (if they are mounted directly to the plant floor, the seismic load input to the device can be taken directly from the floor plan of the plant), but rather are mounted on the pipeline. The seismic load inputs to these devices are unknown because the amplification of the pipeline's response to these devices is unknown.
Disclosure of Invention
In view of the above, in order to overcome the defects of the prior art, the present invention aims to provide an application method of a seismic acceleration response amplification factor in seismic response.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for applying seismic acceleration response amplification factors of equipment on a pipeline to seismic response comprises the following steps: for rigid equipment on a pipeline, which only needs to maintain integrity, envelope acceleration is derived based on seismic acceleration response amplification factors as follows aenvγ × ZPA; in the formula, aenvThe envelope acceleration is adopted, gamma is the seismic acceleration response amplification coefficient of equipment on a pipeline, and ZPA is the seismic response spectrum zero period acceleration.
Use of seismic acceleration response amplification factors for an in-line device in seismic response, comprising the steps of: for equipment on a pipeline, which needs to verify operability through an anti-seismic test in anti-seismic identification, a floor reaction spectrum is adjusted through an amplification factor gamma and is used as seismic input of the anti-seismic test; the adjustment method is to multiply the ZPA of the original floor reaction spectrum by an amplification factor gamma to obtain the ZPA of a new floor reaction spectrum, and the spectrum values of other control points are kept unchanged.
According to some preferred aspects of the invention, the method of determining the seismic acceleration response amplification factor γ for an in-line device comprises the steps of:
simplifying the pipeline and the equipment installed on the pipeline into a spring-mass system with two degrees of freedom, and calculating the acceleration response a of the equipment1；
Will be directly attached toThe equipment installed on the ground is simplified into a single-degree-of-freedom spring-mass system, and the acceleration response S is obtaineda；
Calculating the influence coefficient R of the pipeline on the acceleration response of the equipmenta，Ra＝a1/Sa；
Calculating the amplification factor gamma, gamma-max (R) of the acceleration response of the pipeline to the devicea1) that is able to envelope the amplification effect of the pipeline on the acceleration response of the device.
According to some preferred aspects of the invention, the acceleration response a1The calculation steps are as follows:
the equation of motion in the horizontal direction of a spring-mass system with two degrees of freedom is
Figure BDA0002712590640000021
wherein ,
Figure BDA0002712590640000022
m1、k1、x1mass, stiffness and displacement of the device relative to the ground, m2、k2、x2Respectively the mass, stiffness and displacement of the pipeline relative to the ground, xgIs the displacement of the ground under the action of the earthquake,
Figure BDA0002712590640000023
is the second derivative of x with respect to time,
Figure BDA0002712590640000024
is xgSecond derivative with respect to time.
Solving the characteristic equation of formula (1) to obtain
Figure BDA0002712590640000025
The natural frequency omega of the system is obtaineds，
Figure BDA0002712590640000026
Let omegas1 and ωs2Two solutions of equation (2), i.e., two natural frequencies of the plant-pipeline system;
particle m1I.e. acceleration response of the device is
Figure BDA0002712590640000027
wherein ,Sa1、Sa2Are respectively and omegas1 and ωs2Corresponding acceleration response spectrum values.
According to some preferred embodiments of the invention, the acceleration response S in a single degree of freedom spring-mass systemaIs equal to the natural frequency omega of the device1And (4) corresponding seismic acceleration response spectrum values.
According to some preferred aspects of the invention, the influence coefficient R isaThe calculation steps are as follows
Figure BDA0002712590640000031
According to some preferred embodiments of the present invention, in the formula (4)
Figure BDA0002712590640000032
Figure BDA0002712590640000033
ra1、ra2Are all n1、n3Is expressed as ra1(n1，n3)、ra2(n1，n3) (ii) a Formula (4) can be rewritten as
Figure BDA0002712590640000034
According to some preferred embodiments of the invention, n is3Within the range of less than or equal to 0.1, ra1＜10-4，r a21, formula (7) can be rewritten as
Figure BDA0002712590640000035
wherein ,
Figure BDA0002712590640000036
the spectral value of the acceleration reaction corresponding to the fundamental frequency of the device-pipeline system.
According to some preferred aspects of the invention, the fundamental frequency of the apparatus is set above the seismic cut-off frequency, so SaZPA, ZPA is seismic response spectrum zero period acceleration, formula (8) is rewritten as
Figure BDA0002712590640000041
In accordance with some preferred embodiments of the present invention, in order to conservatively account for the effect of the pipeline on the seismic response of the device, and taking into account only the effect of the amplification of the pipeline on the seismic response of the device, the seismic acceleration response amplification factor γ that envelopes the effect of the amplification of the pipeline on the acceleration response of the device is given by,
γ＝max(Ra，1) (10)
when estimating this amplification factor quickly and conservatively, equation (10) can also be conservatively given by the following equation based on equation (9)
Figure BDA0002712590640000042
wherein ,apeakThe peak of the acceleration response spectrum.
Due to the adoption of the technical scheme, compared with the prior art, the invention has the beneficial effects that: the application method of the seismic acceleration response amplification coefficient of the equipment on the pipeline in the seismic response provides a method which can conveniently determine seismic load input with certain conservative property for both analysis method seismic identification and test method seismic identification. The application method can avoid the defect of excessive conservation in determining earthquake-resistant identification earthquake load input in the past, and is beneficial to reducing the manufacturing cost of equipment.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a simplified two degree-of-freedom spring-mass system of a pipeline and apparatus according to an embodiment of the present invention;
FIG. 2 is a simplified single degree of freedom spring-mass system of the apparatus in an embodiment of the present invention;
FIG. 3 shows an embodiment of the present inventiona1At n3Within the range of less than or equal to 10, with n1、n3The change rule of (2);
FIG. 4 shows a schematic view of a view point of the present inventiona2At n3Within the range of less than or equal to 10, with n1、n3The change rule of (2);
FIG. 5 shows an embodiment of the present inventiona1At n3Within the range of less than or equal to 0.1, with n1、n3The change rule of (2);
FIG. 6 shows a schematic diagram of an embodiment of the present inventiona2At n3Within the range of less than or equal to 0.1, with n1、n3The change rule of (2);
FIG. 7 is a method for adjusting floor response spectrum according to an embodiment of the present invention;
FIG. 8 is a three-dimensional pipeline model in an example of a three-dimensional model calculation;
FIG. 9 is a model of the plant in an example of a three-dimensional model calculation;
FIG. 10 is a pipeline-plant coupling model in a three-dimensional modeling algorithm.
Detailed Description
In order to make those skilled in the art better understand the technical solution of the present invention, the technical solution in the embodiment of the present invention will be clearly and completely described below with reference to the drawings in the embodiment of the present invention, and it is obvious that the described embodiment is only a part of the embodiment of the present invention, and not a whole embodiment. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Referring to fig. 1-10, the method for determining the seismic acceleration response amplification factor of the on-line device of the embodiment specifically includes the following steps:
firstly, establishing a spring-mass model of a pipeline-equipment
The pipeline and the equipment mounted to it are simplified to a spring-mass system with two degrees of freedom, as shown in figure 1. Wherein m is1、k1、x1Mass, stiffness and displacement of the device relative to the ground, m2、k2、x2Respectively the mass, stiffness and displacement of the pipeline relative to the ground, xgIs the displacement of the ground under the action of earthquake.
The motion equation of the system in the horizontal direction is
Figure BDA0002712590640000051
wherein ,
Figure BDA0002712590640000052
Figure BDA0002712590640000053
is the second derivative of x with respect to time,
Figure BDA0002712590640000054
is xgTime synchronizationThe second derivative of (d).
By solving the characteristic equation of equation (1), let
Figure BDA0002712590640000055
Figure BDA0002712590640000056
The natural frequency ω of the system can be obtainedsW represents frequency, n represents ratio, n1Is a mass ratio of n2Is the stiffness ratio, n3Is the frequency ratio.
Figure BDA0002712590640000057
Let omegas1 and ωs2For two solutions of equation (2), i.e., two natural frequencies of the plant-pipeline system, the particle m1I.e. the acceleration response of the device is:
Figure BDA0002712590640000061
wherein ,Sa1、Sa2Are respectively and omegas1 and ωs2Corresponding acceleration response spectrum values.
Spring-mass model of device
If the apparatus is not mounted on a pipeline but directly on the ground, it can be simplified to a single degree of freedom spring-mass system as shown in figure 2. m is1、k1、x3Respectively, mass, stiffness and displacement relative to the ground, x, of the mass block (representing the device) in fig. 2gIs the displacement of the ground under the action of earthquake.
The single degree of freedom spring-mass system shown in FIG. 2 has an acceleration response S for the device when the ground seismic acceleration response spectrum is knowna，SaIs equal to the natural frequency omega of the device1And (4) corresponding seismic acceleration response spectrum values.
Third, the impact of the pipeline on the response of the plant
The acceleration response (formula (3)) of the equipment in the two-degree-of-freedom system and the acceleration response (S) of the equipment in the single-degree-of-freedom system are useda) The influence of the pipeline on the acceleration response of the equipment can be quantified by the ratio of the first to the second, and the influence coefficient R of the pipeline on the acceleration response of the equipment can be deducedaComprises the following steps:
Figure BDA0002712590640000062
order to
Figure BDA0002712590640000063
Figure BDA0002712590640000064
From the formulas (5) and (6), r can be knowna1、ra2Only with n1、n3In connection with, i.e. ra1、ra2Are all n1、n3Can be expressed as ra1(n1，n3)、ra2(n1，n3). Therefore, the formula (4) can be rewritten as
Figure BDA0002712590640000071
N is more than or equal to 11≤100，n3In the range of less than or equal to 10, ra1、ra2The change trends of (a) are shown in fig. 3 and 4: at n3At 1, the line resonates with the device, ra1 and ra2A formant is generated.
Since the fundamental frequency of a device is much greater than the fundamental frequency of a pipeline, n is generally satisfied for most pipeline-mounted devices3The condition is less than or equal to 0.1. Thus, the effect of the pipeline on the seismic response of the equipment is analyzed for such characteristics of the equipment and pipeline.
N is more than or equal to 11≤100，n3Within the range of less than or equal to 0.1, ra1、ra2The change trends of (a) are shown in fig. 5 and 6, respectively. From FIGS. 5 and 6, it can be seen that n is the number3Within the range of less than or equal to 0.1, ra1＜10-4，r a21. Accordingly, equation (7) can be approximated as follows:
Figure BDA0002712590640000072
wherein ,
Figure BDA0002712590640000073
and the acceleration response spectrum value corresponds to the fundamental frequency of the equipment-pipeline system.
The fundamental frequency of the pipeline-mounted instruments or valves is generally greater than the cut-off frequency of the seismic response spectrum (which can be considered as a rigid device), so SaZPA (seismic response spectrum zero cycle acceleration). Thus, equation (8) can be written as:
Figure BDA0002712590640000074
in order to conservatively account for the effect of the pipeline on the seismic response of the device, in the case where only the effect of amplification of the pipeline on the seismic response of the device is considered, the seismic acceleration response amplification factor γ that can envelope the effect of amplification of the pipeline on the device acceleration response is given by,
γ＝max(Ra，1) (10)
when estimating this amplification factor quickly and conservatively, equation (10) can also be conservatively given by the following equation based on equation (9)
Figure BDA0002712590640000075
wherein ,apeakThe peak of the acceleration response spectrum.
Application of seismic acceleration response amplification coefficient gamma in seismic response
1) For rigid equipment on a pipeline that only needs to maintain integrity, an envelope acceleration with reasonable conservation can be calculated based on equation (10) and used as seismic input for the equivalent static method in seismic analysis to calculate the seismic response of the equipment. Based on the calculated amplification factor, the envelope acceleration a can be derivedenvAs follows
aenv＝γ×ZPA (12)。
2) For equipment on a pipeline, which needs to verify operability through an anti-seismic test in anti-seismic identification, a floor reaction spectrum can be adjusted through an amplification factor to serve as seismic input of the anti-seismic test.
The adjustment method is shown in fig. 7. Specifically, the ZPA of the original floor response spectrum (corresponding to point a in the figure) is multiplied by an amplification factor to obtain the ZPA of the new floor response spectrum (corresponding to point a' in the figure), and the spectrum values of other control points are kept unchanged. The adjusted reaction spectrum is directly acted on the equipment, and the response of the equipment can envelop the real seismic response of the equipment.
Fifth, pipeline impact verification
The following three-dimensional pipeline model was used to verify that the amplification factor given by equation (10) can envelop the amplification effect of the pipeline on the acceleration response of the plant.
The three-dimensional pipeline model is shown in FIG. 8. The valves/instrumentation on the pipeline were simulated with a beam model with concentrated mass, see fig. 9. The valve/meter was mounted on a pipeline model, see figure 10 for the overall model. The floor response spectrum used is given in table 1.
TABLE 1 floor response spectrum
Frequency (Hz) 0.35 0.71 1.932 2.28 5.959 7.653 7.979
Acceleration (g) 0.10475 0.195 0.6225 0.6365 1.742 1.742 1.577
Frequency (Hz) 8.319 8.67 11.1 14.3 22.6 38.9 50
Acceleration (g) 1.5705 1.5885 1.5885 0.6735 0.3341 0.2424 0.2424
The floor response spectra of table 1 were applied to the coupled model of fig. 10 and the plant model of fig. 9, respectively, and the acceleration responses of the masses in the two model sets were extracted, respectively, and the ratio of these two accelerations was calculated, as listed in table 2 "acceleration amplification factor calculated by finite element method".
By the method in the present embodiment, the mass and the frequency of the device model in fig. 9 and the pipeline model in fig. 8 are calculated, respectively, and the mass ratio n between them is calculated1Frequency ratio n3. Calculating the acceleration response spectrum value S corresponding to the fundamental frequency of the coupled model of FIG. 10a2By calculating Sa2And SaAnd substituting the ratio of (a) to (b) in the formula (10) to obtain gamma. The above values are shown in Table 2.
TABLE 2 calculation results
n1 n3 f1(Hz) Sa2(g) Sa(g) γ
107.27 0.0616 346.53 0.3893 0.2424 1.61
In Table 2, f1At the fundamental frequency of the device, f1＝ω1/(2 π). The acceleration amplification factor calculated by the finite element method can be regarded as a real amplification factor; "γ" is the amplification factor calculated by the method. Comparing the two, the amplification factor calculated by the method can envelop the real situation, has a conservative margin of 41%, and simultaneously is not excessively conservative like the situation mentioned in the introduction.
It is now verified that the response of the device can envelope its true seismic response using the new floor response spectrum adjusted by the method described in section four as the seismic input to the device. The adjusted new floor response spectrum is used as the seismic input of the equipment model in fig. 9, and the acceleration response of the equipment is calculated to be 0.54 g. The raw floor response spectrum without adjustment is used as the seismic input for the coupled model of fig. 10, and the acceleration response of the device is calculated to be 0.38 g. The former can be regarded as the seismic response of the equipment under the simulated seismic condition in the seismic identification, and the latter can be regarded as the real seismic response of the equipment. The former is able to envelop the latter with a 42% conservative margin. Therefore, by adopting the amplification factor application method, the earthquake input which is used for equipment earthquake resistance identification and has certain conservative margin and is not too conservative can be obtained.
For devices installed on pipelines, since pipelines have a certain influence on the response of the devices, for the seismic evaluation of these devices, in order to reasonably simulate the seismic input of the devices, it is recommended to consider the pipelines as far as possible together with the seismic evaluation of the devices. This application presents a convenient method of implementation for the evaluation of the effects of pipelines on the seismic response of on-line devices and the amplification of their response. Meanwhile, a feasible application method which is easy to operate and not too conservative to reduce the economical efficiency is provided for the evaluation method in the aspect of determining the earthquake input of equipment earthquake resistance identification.
The above embodiments are merely illustrative of the technical ideas and features of the present invention, and the purpose thereof is to enable those skilled in the art to understand the contents of the present invention and implement the present invention, and not to limit the protection scope of the present invention. All equivalent changes and modifications made according to the spirit of the present invention should be covered within the protection scope of the present invention.

Claims (10)

1. A method for applying seismic acceleration response amplification factors of on-line equipment to seismic response, comprising the steps of: for rigid equipment on a pipeline, which only needs to maintain integrity, envelope acceleration is derived based on seismic acceleration response amplification factors as follows aenvγ × ZPA; in the formula, aenvThe envelope acceleration is adopted, gamma is the seismic acceleration response amplification coefficient of equipment on a pipeline, and ZPA is the seismic response spectrum zero period acceleration.
2. Use of seismic acceleration response amplification factors for an in-line device in seismic response, comprising the steps of: for equipment on a pipeline, which needs to verify operability through an anti-seismic test in anti-seismic identification, a floor reaction spectrum is adjusted through an amplification factor gamma and is used as seismic input of the anti-seismic test; the adjustment method is to multiply the ZPA of the original floor reaction spectrum by an amplification factor gamma to obtain the ZPA of a new floor reaction spectrum, and the spectrum values of other control points are kept unchanged.
3. Application method according to claim 1 or 2, characterized in that the determination of the amplification factor γ comprises the following steps:
simplifying the pipeline and the equipment installed on the pipeline into a spring-mass system with two degrees of freedom, and calculating the acceleration response a of the equipment1；
Simplifying the equipment directly arranged on the ground into a single-degree-of-freedom spring-mass system to obtain the acceleration response Sa；
Calculating the influence coefficient R of the pipeline on the acceleration response of the equipmenta，Ra＝a1/Sa；
Calculating the amplification factor gamma, gamma-max (R) of the acceleration response of the pipeline to the devicea1) that is able to envelope the amplification effect of the pipeline on the acceleration response of the device.
4. Application method according to claim 3, characterized in that said acceleration response a1The calculation steps are as follows:
the equation of motion in the horizontal direction of a spring-mass system with two degrees of freedom is
Figure FDA0002712590630000011
wherein ,
Figure FDA0002712590630000012
m1、k1、x1mass, stiffness and displacement of the device relative to the ground, m2、k2、x2Respectively the mass, stiffness and displacement of the pipeline relative to the ground, xgIs the displacement of the ground under the action of the earthquake,
Figure FDA0002712590630000015
is the second derivative of x with respect to time,
Figure FDA0002712590630000013
is xgSecond derivative with respect to time.
Solving the characteristic equation of formula (1) to obtain
Figure FDA0002712590630000014
The natural frequency omega of the system is obtaineds，
Figure FDA0002712590630000021
Let omegas1 and ωs2Two solutions of equation (2), i.e., two natural frequencies of the plant-pipeline system;
particle m1I.e. acceleration response of the device is
Figure FDA0002712590630000022
wherein ,Sa1、Sa2Are respectively and omegas1 and ωs2Corresponding acceleration response spectrum values.
5. Method of application according to claim 3, characterized by the acceleration response S in a single degree of freedom spring-mass systemaIs equal to the natural frequency omega of the device1And (4) corresponding seismic acceleration response spectrum values.
6. Application method according to claim 3, characterized in that said influence coefficient RaThe calculation steps are as follows
Figure FDA0002712590630000023
7. Application method according to claim 6,
let in formula (4)
Figure FDA0002712590630000024
Figure FDA0002712590630000025
ra1、ra2Are all n1、n3Is expressed as ra1(n1，n3)、ra2(n1，n3) (ii) a Formula (4) can be rewritten as
Figure FDA0002712590630000026
8. Application method according to claim 7,
at n3Within the range of less than or equal to 0.1, ra1＜10-4，ra21, and the formula (7) is rewritten as
Figure FDA0002712590630000031
wherein ,
Figure FDA0002712590630000032
the spectral value of the acceleration reaction corresponding to the fundamental frequency of the device-pipeline system.
9. The method of use of claim 8, wherein the fundamental frequency of the device is set above the seismic cut-off frequency, SaZPA, ZPA is seismic response spectrum zero period acceleration, formula (8) is rewritten as
Figure FDA0002712590630000033
10. Method of use according to claim 9, the formula γ ═ max (R)a1) rewritable to the following formula
Figure FDA0002712590630000034
wherein ,apeakThe peak of the acceleration response spectrum.
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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108846240A (en) * 2018-07-04 2018-11-20 苏州热工研究院有限公司 A method of it is used to instruct equipment-support system Aseismic Design based on spring mass model
CN108875256A (en) * 2018-07-04 2018-11-23 苏州热工研究院有限公司 There is the conservative determination method of the seismic (seismal input of support equipment Seismic
CN109783764A (en) * 2019-01-14 2019-05-21 中核能源科技有限公司 A kind of Nuclear Power Plant Equipment evaluation method of earthquake resistant performance based on floor response spectrum

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN108846240A (en) * 2018-07-04 2018-11-20 苏州热工研究院有限公司 A method of it is used to instruct equipment-support system Aseismic Design based on spring mass model
CN108875256A (en) * 2018-07-04 2018-11-23 苏州热工研究院有限公司 There is the conservative determination method of the seismic (seismal input of support equipment Seismic
CN109783764A (en) * 2019-01-14 2019-05-21 中核能源科技有限公司 A kind of Nuclear Power Plant Equipment evaluation method of earthquake resistant performance based on floor response spectrum

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
卢军 等: "设备抗震鉴定中混凝土支撑对地震输入影响研究", 核动力工程 *

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