Method for acquiring seismic response result of pipeline structure and related device
By constructing separate models of the main loop and pipeline structures and calculating the seismic response spectrum, the problem of inaccurate seismic response results of pipeline structures in existing technologies was solved, and the accurate acquisition of seismic response results of pipeline structures in nuclear island plant buildings was achieved.
Patent Information
- Application Number
- CN202511766456.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-11-27
- Publication Date
- 2026-02-27
AI Technical Summary
In existing technologies, when using pipeline analysis software to uniformly model the main loop structure and pipeline structure of a nuclear island plant, the large equipment in the main loop structure is highly simplified, resulting in low accuracy of the seismic response results of the pipeline structure.
A main loop structure model is constructed using the finite element analysis algorithm, and a pipeline structure model is constructed by combining it with the pipeline analysis algorithm. The seismic response time history and response spectrum of the connectable points of the main loop structure model are calculated and accurately transferred to the pipeline structure model to obtain the seismic response results of the pipeline structure.
It improves the accuracy of seismic response results for pipeline structures, ensures the scientific reconstruction of the dynamic interaction between the main loop structure and the pipeline structure, and provides highly accurate seismic response results.
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Figure CN121580490A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The present application relates to the technical field of nuclear power plant safety engineering, and in particular to a method for obtaining seismic response results of a pipeline structure and related devices. BACKGROUND
[0002] With the increasing requirements for seismic safety performance of nuclear power plants, the dynamic interaction between the main loop structure in the nuclear island plant and the pipeline structure connected thereto has attracted increasing attention. Since the pipeline structure is directly connected to the key nuclear safety equipment, its response under the action of an earthquake directly affects the safety of the nuclear island plant. Therefore, it is particularly important to determine the seismic response results of the pipeline structure.
[0003] Currently, in engineering, pipeline analysis software is usually used to model the main loop structure and the pipeline structure of the nuclear island plant together, thereby obtaining a simplified overall structure model. For details, refer to Figure 1 , Figure 1 is a structural diagram of an overall structure model including a main loop structure and a pipeline structure, and the seismic response results of the pipeline structure in the overall model can be directly obtained.
[0004] However, when the main loop structure and the pipeline structure of the nuclear island plant are modeled together using pipeline analysis software, the large equipment in the main loop structure is highly simplified. This simplification can easily distort the seismic response of the main loop structure, and thus the seismic response transmitted to the connection point of the pipeline structure deviates from the actual working condition, ultimately resulting in low accuracy of the seismic response results of the pipeline structure. SUMMARY
[0005] In view of the above problems, the present application provides a method for obtaining seismic response results of a pipeline structure and related devices, in order to improve the accuracy of the seismic response results of the pipeline structure, the specific solutions are as follows:
[0006] The first aspect of the present application provides a method for obtaining seismic response results of a pipeline structure, comprising:
[0007] Based on the main loop structure of the nuclear island plant, a main loop structure model is constructed using a finite element analysis algorithm, and based on the pipeline structure of the nuclear island plant, a pipeline structure model is constructed using a pipeline analysis algorithm;
[0008] Based on the obtained seismic time history of the connectable point of the main loop structure model in at least two directions under a preset seismic level, the seismic response time history of the connectable point of the main loop structure model is calculated, and the connectable point of the main loop structure model is used to indicate the connectable point of the pipeline structure model in the main loop structure model;
[0009] calculating a seismic response time history of the connectable point of the primary loop structure model based on the seismic response time history of the connectable point of the primary loop structure model;
[0010] applying the seismic response response spectrum of the connectable point in the primary loop structure model to the connectable point of the pipeline structure model, the connectable point of the pipeline structure model being used to indicate a connectable point in the pipeline structure model corresponding to the connectable point of the primary loop structure model;
[0011] obtaining a seismic response result of the pipeline structure model after the seismic response response spectrum is applied to the connectable point.
[0012] In a possible implementation, the calculating a seismic response time history of the connectable point of the primary loop structure model based on the seismic motion time histories of the connectable point of the primary loop structure model under preset seismic levels in at least two directions includes:
[0013] performing analysis on the seismic motion time histories of the connectable point of the primary loop structure model under preset seismic levels in at least two directions respectively by using a mode decomposition dynamic time history analysis method, to obtain a seismic response time history of the connectable point of the primary loop structure model in each direction;
[0014] determining the seismic response time history of the connectable point of the primary loop structure model in each direction as the seismic response time history of the connectable point of the primary loop structure model.
[0015] In a possible implementation, the calculating a seismic response response spectrum of the connectable point of the primary loop structure model based on the seismic response time history of the connectable point of the primary loop structure model includes:
[0016] performing numerical integral operation on the seismic response time history of the connectable point of the primary loop structure model based on a plurality of preset parameters, to obtain an absolute motion response time history of the connectable point of the primary loop structure model corresponding to each of the preset parameters, each set of the preset parameters including a preset natural frequency and a preset damping;
[0017] determining a maximum absolute motion response time history of the connectable point of the primary loop structure model corresponding to each of the preset parameters as a spectral value of the connectable point of the primary loop structure model corresponding to each of the preset parameters;
[0018] combining the spectral values of the connectable point of the primary loop structure model corresponding to each of the preset parameters, to obtain the seismic response response spectrum of the connectable point of the primary loop structure model.
[0019] In a possible implementation, after the seismic response time history of the connectable point of the main loop structure model is calculated and the seismic response spectrum of the connectable point of the main loop structure model is obtained, the method further includes:
[0020] obtaining a plurality of peak frequencies of the seismic response spectrum of the connectable point of the main loop structure model, and a peak spectrum value corresponding to each peak frequency and a frequency interval corresponding to each peak frequency;
[0021] for each frequency interval corresponding to each peak frequency, adjusting a spectrum value corresponding to a target frequency in the frequency interval to a peak spectrum value corresponding to the peak frequency, to obtain an adjusted frequency interval corresponding to the peak frequency, and the spectrum value corresponding to the target frequency in the frequency interval is less than the peak spectrum value corresponding to the peak frequency;
[0022] combining the adjusted frequency intervals corresponding to the peak frequencies to obtain an adjusted seismic response spectrum of the connectable point of the main loop structure model, and updating the seismic response spectrum of the connectable point of the main loop structure model to the adjusted seismic response spectrum of the connectable point of the main loop structure model.
[0023] In a possible implementation, the main loop structure of the nuclear island building is constructed into a main loop structure model by using a finite element analysis algorithm, and a pipe structure model is constructed based on a pipe structure of the nuclear island building by using a pipe analysis algorithm, including:
[0024] the main loop structure of the nuclear island building is constructed into a main loop structure model by using a finite element analysis algorithm, and a pipe structure model is constructed based on a pipe structure of the nuclear island building by using a pipe analysis algorithm, including:
[0025] the main loop structure of the nuclear island building is constructed into a main loop structure model by using a finite element analysis algorithm, and a pipe structure model is constructed based on a pipe structure of the nuclear island building by using a pipe analysis algorithm, including:
[0026] The second aspect of the present application provides a device for obtaining a seismic response result of a pipe structure, including:
[0027] a construction unit configured to construct a main loop structure model of a main loop structure of a nuclear island building by using a finite element analysis algorithm, and construct a pipe structure model of a pipe structure of the nuclear island building by using a pipe analysis algorithm;
[0028] an obtaining unit configured to obtain at least two direction seismic motion time histories of a connectable point of the main loop structure model under a preset seismic level, and calculate a seismic response time history of the connectable point of the main loop structure model, the connectable point of the main loop structure model being used to indicate a connectable point of the pipe structure model in the main loop structure model;
[0029] The calculation unit is used to calculate the seismic response spectrum of the connectable points of the main loop structure model based on the seismic response time history of the connectable points of the main loop structure model.
[0030] An application unit is used to apply the seismic response spectrum of the connection points in the main loop structure model to the connectable points in the pipeline structure model, wherein the connectable points in the pipeline structure model are used to indicate the connectable points in the pipeline structure model that are connected to the main loop structure model.
[0031] A determining unit is used to obtain the seismic response results of the pipeline structure model after the seismic response spectrum is applied at the connectable point.
[0032] In one possible implementation, the acquiring unit includes:
[0033] The analysis sub-unit is used to analyze the seismic motion time histories of the connectable points of the main loop structure model in at least two directions under a preset seismic level using the modal decomposition dynamic time history analysis method, so as to obtain the seismic response time histories of the connectable points of the main loop structure model in each direction.
[0034] The time history determination subunit is used to determine the seismic response time histories of each direction of the connectable points of the main loop structure model as the seismic response time histories of the connectable points of the main loop structure model.
[0035] A third aspect of this application provides a computer program product including computer-readable instructions that, when executed on an electronic device, cause the electronic device to implement a calibration method for the physical location of a γ event as described in the first aspect or any implementation thereof.
[0036] A fourth aspect of this application provides an electronic device, including at least one processor and a memory connected to the processor, wherein:
[0037] The memory is used to store computer programs;
[0038] The processor is used to execute the computer program to enable the electronic device to implement the calibration method for the physical location of the γ event in the first aspect or any implementation thereof.
[0039] The fifth aspect of this application provides a computer storage medium carrying one or more computer programs that, when executed by an electronic device, enable a method for calibrating the physical location of a γ event in the electronic device as described in the first aspect or any implementation thereof.
[0040] By means of the technical scheme, the method for obtaining the seismic response result of the pipeline structure and the related device are provided, which comprises the following steps: firstly, the nuclear island main loop structure and the pipeline structure are independently modeled by using the finite element algorithm and the pipeline special algorithm respectively, so that the customized analysis of different characteristic structures is realized, and the precision loss caused by the mismatch of dynamic parameters in the overall modeling is avoided from the source. Then, the response of the main loop structure connection point under the real seismic time history is calculated, and the seismic response spectrum is converted, so that the complex time history information is condensed into the frequency spectrum data representing the maximum response of the point, and a comprehensive and concise input condition is provided for subsequent analysis. Subsequently, the obtained seismic response spectrum is applied to the corresponding connection point of the pipeline structure model, and the seismic response of the main loop structure is accurately transmitted to the pipeline structure model, so that the state of the pipeline structure attached to the main loop structure in the actual earthquake is physically and realistically simulated. Finally, the seismic response result of the pipeline structure model obtained based on the accurate input also has high accuracy. The method accurately calculates the seismic response spectrum and ensures the scientific reduction of the dynamic interaction between the main loop structure and the pipeline structure, thereby improving the accuracy of the obtained seismic response result of the pipeline structure. BRIEF DESCRIPTION OF DRAWINGS
[0041] The above and other features, advantages, and aspects of the present disclosure will become more apparent by referring to the following detailed description in conjunction with the accompanying drawings. In the drawings, like reference numerals refer to like elements throughout. It should be understood that the drawings are schematic and elements in the drawings are not necessarily to scale.
[0042] Figure 1 A structural schematic diagram of an overall structure model comprising a main loop structure and a pipeline structure is provided for the embodiments of the present application;
[0043] Figure 2 A flowchart of a method for obtaining a seismic response result of a pipeline structure is provided for the embodiments of the present application;
[0044] Figure 3 A structural schematic diagram of a main loop structure model is provided for the embodiments of the present application;
[0045] Figure 4 A structural schematic diagram of a pipeline structure model is provided for the embodiments of the present application;
[0046] Figure 5 A schematic diagram of an acceleration time history in the X direction is provided for the embodiments of the present application;
[0047] Figure 6 A schematic diagram of an acceleration response spectrum is provided for the embodiments of the present application;
[0048] Figure 7A structural schematic diagram of an acquisition device for a seismic response result of a pipeline structure is provided in an embodiment of the present application.
[0049] Figure 8 A hardware structural schematic diagram of an electronic device is provided in an embodiment of the present application. DETAILED DESCRIPTION
[0050] The embodiments of the present application are described below in conjunction with the drawings in the embodiments of the present application. The terms used in the embodiment part of the present application are only used to explain the specific embodiments of the present application, and are not intended to limit the present application.
[0051] The embodiments of the present application are described below in conjunction with the drawings. It is known to those skilled in the art that, as technology develops and new scenarios appear, the technical solutions provided by the embodiments of the present application are also applicable to similar technical problems.
[0052] The terms "first", "second", and the like in the specification and claims of the present application and the above-mentioned drawings are used to distinguish similar objects, and do not necessarily describe a specific order or sequence. It should be understood that the terms used in this way can be interchanged under appropriate circumstances, and this is only a way of distinguishing the objects with the same attributes used in the description of the embodiments of the present application. In addition, the terms "include" and "have" and any variations thereof are intended to cover non-exclusive inclusion, so that the processes, methods, systems, products or devices containing a series of units do not have to be limited to those units, but can include other units not clearly listed or inherent to these processes, methods, products or devices.
[0053] In order to improve the accuracy of the seismic response result of the pipeline structure, the present application provides a method for acquiring the seismic response result of the pipeline structure. The method for acquiring the seismic response result of the pipeline structure provided by the present application is described in further detail below in conjunction with the drawings and the specific embodiments.
[0054] Please refer to the accompanying Figure 2 , Figure 2 A flowchart of a method for acquiring a seismic response result of a pipeline structure is provided in an embodiment of the present application. The method can include the following steps:
[0055] Step S101: Based on the main loop structure of the nuclear island plant, a main loop structure model is constructed using a finite element analysis algorithm, and based on the pipeline structure of the nuclear island plant, a pipeline structure model is constructed using a pipeline analysis algorithm.
[0056] In this application, first, a main loop structure model can be constructed based on the main loop structure of the nuclear island plant building by using a finite element analysis algorithm, with shell elements and beam elements as basic elements. Then, a piping structure model can be constructed based on the piping structure of the nuclear island plant building by using a piping analysis algorithm, with beam elements as basic elements.
[0057] It should be noted that in the nuclear island plant building of a nuclear power plant, the main loop structure refers to a closed coolant circulation loop composed of key equipment such as the reactor pressure vessel, steam generator, main pump, and pressurizer. The piping structure specifically refers to the main pipe and its branch pipes, support hangers, and support structures connecting these devices, which are considered as an attached structure dependent on the main loop equipment in structural analysis, rather than a component of the main loop structure itself. In structural mechanics modeling and seismic response analysis, the main loop structure model usually focuses on the main body of large equipment and its overall dynamic behavior with the plant building structure, while the piping structure model is specifically used to analyze the stress, displacement, and support force of the pipe itself.
[0058] Specifically, for the two key structures in the nuclear island plant building, the main loop structure and the piping structure, high-fidelity calculation models are constructed. This step-by-step modeling strategy is not simply a split, but based on the essential differences in physical properties, functional positioning, and analysis requirements of the two types of structures, the most suitable numerical methods and professional tools are adopted for each characteristic, thereby ensuring the accuracy of seismic response analysis while considering the engineering implementation efficiency. Specifically, the construction of the main loop structure model takes finite element analysis as the core method, usually completed by using general finite element software such as ANSYS, ABAQUS, or MSC Nastran. The modeling range covers the entire nuclear island plant building main loop related structure, including: key equipment such as the reactor pressure vessel, steam generator, main pump, and hot gas duct, as well as the plant building structure supporting these equipment, such as floor, wall, beam column, roof, containment vessel, spent fuel pool compartment, etc. Due to the complex geometric shape and uneven stiffness distribution of these components, and the significant spatial coupling effect in earthquakes, three-dimensional refined modeling is required. Shell elements are widely used to simulate thin-walled structures with in-plane stiffness but relatively small thickness, such as pressure vessel cylinders, steam generator shells, plant walls, and floors. By accurately assigning shell element thickness, elastic modulus, Poisson's ratio, density, and other material parameters, the bending stiffness, in-plane stiffness, and mass distribution characteristics can be truly reproduced. For slender components in the plant building, such as beams, columns, and support frames, beam elements are used for modeling, as they can efficiently describe the transmission path of axial force, shear force, bending moment, and torque, while significantly reducing the model degrees of freedom. To ensure the reliability of the model in dynamic analysis, all element sizes are strictly analyzed for grid convergence, and the first few natural frequencies and modes of vibration are verified to match the design values or measured data, so as to confirm the model's ability to accurately capture the main dynamic response in the seismic frequency band (usually 0.1-33 Hz).
[0059] In addition, the main loop structure model also systematically considers the equivalent treatment of various static and dynamic loads. The dead weight of the structure and the permanent weight of the equipment are naturally reflected by the material density; the maintenance platform live load, temporary equipment load, and roof snow load, etc. are converted into additional concentrated mass or distributed mass according to the nuclear safety specifications (such as RCC-G or ASCE 4) in proportion, integrated into the main loop structure model. All connection parts (such as the anchor points of the equipment base and the floor, the welding area of the main pipeline and the equipment connecting pipe, etc.) are provided with reasonable constraint relationships (such as multi-point constraint MPC, rigid area RBE2, etc.) to ensure displacement coordination and force flow continuity. The finally formed main loop structure model is a complete and unified three-dimensional structure system with real mass-stiffness distribution and dynamic characteristics. For ease of understanding, please refer to Figure 3 , Figure 3 A structural schematic diagram of a main loop structure model provided by an embodiment of the present application.
[0060] At the same time, the pipeline structure model is constructed by using an analysis algorithm specially for pipeline structure, and is usually based on professional pipeline stress analysis software such as CAESAR II, AutoPIPE or ROHR2. This kind of software is specially developed for process pipeline structure, and has built-in element library, load combination logic and stress checking criteria in line with international nuclear safety specifications such as dynamic pipeline ASME B31.1, process pipeline ASME B31.3 and nuclear grade equipment RCC-M. In the modeling process, all pipelines are based on beam elements. Although the actual pipeline is a circular ring section, the beam element can accurately simulate its mechanical behavior in multiple degrees of freedom such as axial tension and compression, in-plane and out-of-plane bending, and torsion by defining the outer diameter, wall thickness, material properties (such as elastic modulus, thermal expansion coefficient) and cross-sectional moment of inertia. For pipe fittings such as elbows, tees and reducers, the software automatically introduces a flexibility coefficient or a stress enhancement coefficient to modify the local stiffness to reflect the stress concentration effect caused by geometric discontinuity. Valves, flanges, instrument interfaces, etc. are usually simplified as concentrated mass points or rigid short pipe sections to account for their influence on the dynamic characteristics of the structure. More importantly, various types of support and hanger structures, i.e. rigid supports, variable force spring hangers, constant force hangers, hydraulic dampers and even anti-seismic limit devices, can be accurately modeled according to the actual type and performance parameters, and their nonlinear behavior (such as clearance, friction, damping) can also be considered in dynamic analysis. For ease of understanding, please refer to Figure 4 , Figure 4 A structural schematic diagram of a pipeline structure model provided by an embodiment of the present application.
[0061] Step S102: based on the acquired seismic time histories of the connectable points of the primary loop structure model under a preset seismic level in at least two directions, the seismic response time histories of the connectable points of the primary loop structure model are calculated, the connectable points of the primary loop structure model being used to indicate the connectable points of the primary loop structure model connected with the pipe structure model.
[0062] In the present application, firstly, the acquired seismic time histories of the connectable points of the primary loop structure model under a preset seismic level in at least two directions are analyzed respectively by using the mode-superposition dynamic time history analysis method, and the seismic response time histories of the connectable points of the primary loop structure model in each direction are obtained, and then the seismic response time histories of the connectable points of the primary loop structure model in each direction are determined as the seismic response time histories of the connectable points of the primary loop structure model.
[0063] It should be noted that the key positions (i.e. the connectable points) in the primary loop structure model connected with the pipe usually correspond to the connection positions of the primary pipe with the pipe nozzles of the reactor pressure vessel, the steam generator and other equipment, and are regarded as the input boundary of the pipe structure in the structural analysis.
[0064] Specifically, the seismic time histories in at least two directions (such as X direction, Y direction and Z direction) can be input as excitation sources based on a preset seismic level (such as SL-1 or SL-2, corresponding to different seismic intensity of different safety levels). The mode-superposition dynamic time history analysis method can be used to solve the primary loop structure model. This method first extracts several dominant modes of the structure and the corresponding natural frequency and damping ratio through modal analysis, then projects the seismic time histories into each mode coordinate system for solving respectively, and finally reconstructs the node response in the physical space through modal superposition (such as CQC or SRSS combination rule). For each direction of seismic input, the acceleration, velocity and displacement response time histories of all connectable points of the primary loop model in the direction are calculated, so as to obtain the comprehensive seismic response time histories reflecting the multi-dimensional seismic coupling effect. In engineering practice, the acceleration time history is usually used preferentially because it is directly related to the inertial force and is convenient for subsequent conversion into the seismic response spectrum. For better understanding, reference can be made to Figure 5 , Figure 5 An acceleration time history diagram provided by the embodiment of the present application is shown in the figure, in which the X axis represents the time duration of the seismic motion (unit: s), usually covering the entire duration of the design seismic event, and the Y axis represents the instantaneous absolute acceleration response (unit: g) of the connectable points of the primary loop, reflecting the inertial excitation intensity of the equipment changing with time in the earthquake.
[0065] It is worth noting that, in order to ensure that the analysis results are conservative enough to meet the nuclear safety requirements, the embodiments of the present application make a specific assumption on the modeling boundary conditions: the lateral boundary of the underground part of the plant building is considered free, without considering the lateral restraint effect provided by the surrounding backfill or bedrock. This assumption means that the structure lacks support from the lateral stiffness of the foundation during an earthquake, resulting in reduced overall stiffness, longer periods, and thus greater displacement and acceleration responses under the same ground motion input. Although underground structures are usually constrained by some soil in actual engineering, ignoring this support effect is a widely accepted conservative treatment, especially for preliminary safety evaluation or envelope analysis scenarios required by specifications, which helps to avoid underestimation of response due to modeling uncertainty of soil-structure interaction (SSI).
[0066] To comprehensively cover the spatial characteristics of ground motion, three design ground motion time histories in mutually orthogonal directions (X, Y, Z) are usually used in the analysis, which meets the requirements of modern nuclear safety specifications (such as ASCE 4, RCC-G) for multi-dimensional seismic input. The seismic response time history of the same connectable point in each orthogonal direction (such as X, Y, Z) can be regarded as the seismic response time history of the point. Here, three mutually orthogonal design ground motion inputs are used, not only to meet the basic requirements of spatial multi-dimensional excitation for nuclear safety seismic design, but also to more realistically reflect the complex dynamic environment that the structure is subjected to in actual earthquakes. This seismic response time history is used as the basis data for generating the seismic response device spectrum in the subsequent step, to characterize the real dynamic excitation of the main loop structure to the auxiliary piping structure.
[0067] Step S103: Based on the seismic response time history of the connectable point of the main loop structure model, the seismic response response spectrum of the connectable point of the main loop structure model is calculated.
[0068] In the present application, first, the seismic response time history of the connectable point of the main loop structure model can be numerically integrated based on a plurality of preset parameters to obtain the absolute motion response time history of the connectable point of the main loop structure model corresponding to each preset parameter, each set of preset parameters including a preset natural frequency and a preset damping. Then, the maximum absolute motion response time history of the connectable point of the main loop structure model corresponding to each preset parameter obtained can be determined as the spectral value of the connectable point of the main loop structure model corresponding to each preset parameter. Finally, the spectral values of the connectable point of the main loop structure model corresponding to each preset parameter can be combined to obtain the seismic response response spectrum of the connectable point of the main loop structure model.
[0069] Specifically, a set of preset parameters is first established, each containing a preset natural frequency (or corresponding period) and a preset damping ratio. In nuclear engineering practice, multiple typical damping ratio levels are typically required, such as 2%, 3%, 4%, 5%, 7%, and 10%, to accommodate the dynamic characteristics of different types of equipment and pipeline structures. For each set of parameters, the seismic response acceleration time history of the main loop connectable point is used as input, and numerical integration (such as the Newmark-β method, Wilson-θ method, or Duhamel integral) is performed on the motion equations of a standard single-degree-of-freedom structure to solve for its absolute motion response time history (including displacement, velocity, or acceleration) under the given excitation. This process is equivalent to virtually running hundreds or thousands of single-degree-of-freedom oscillators with different dynamic characteristics in a computer and recording their response histories under a given seismic excitation. Subsequently, the maximum value (such as the maximum absolute acceleration or maximum relative displacement) is extracted from the absolute motion response time history corresponding to each single-degree-of-freedom structure; this maximum value is the spectral value corresponding to that set of natural frequencies and damping ratios. For example, for an oscillator with a damping ratio of 5% and a period of 0.3 seconds, if its maximum acceleration under X-axis acceleration time-history excitation is 3.2g, then 3.2g is the spectral acceleration value under this period-damping combination. Repeating this process, iterating through all preset period (or frequency) and damping ratio combinations, yields a series of discrete spectral value points. Finally, the spectral values corresponding to all natural vibration periods under the same damping ratio are integrated to form a complete seismic response spectrum curve. Since the embodiments of this application need to meet the diverse requirements of different equipment and pipeline structures for damping characteristics, corresponding seismic response spectra are generated for multiple typical damping ratios (such as 2%, 3%, 4%, 5%, 7%, and 10%). These seismic response spectra collectively constitute a seismic response spectrum specific to the location, direction, and dynamic characteristics of the main loop structure's connectable points, i.e., a seismic response equipment spectrum. This seismic response equipment spectrum accurately characterizes the maximum dynamic excitation capability transmitted from the main loop structure to the auxiliary pipeline structure through the connectable points at a given seismic level, serving as a standard-compliant, concise, and physically meaningful frequency domain input. For better understanding, please refer to the following details. Figure 6 , Figure 6 This diagram illustrates an acceleration response spectrum provided in an embodiment of this application. The X-axis represents the natural frequency (Hz) of the single-degree-of-freedom system, covering the main dynamic range of the pipeline structure. Higher frequencies indicate a more rigid structure, while lower frequencies indicate a more flexible structure. The Y-axis represents the maximum absolute acceleration response (g) that a single-degree-of-freedom system with the corresponding natural frequency may produce under horizontal seismic excitation, used to assess the impact of seismic dynamic effects on pipeline supports and connections.
[0070] After the seismic response spectrum of the connectable point of the main circuit structural model is calculated in the seismic response time history of the connectable point based on the main circuit structural model, the method can further include the following steps: first, the peak frequencies of the seismic response spectrum of the connectable point of the main circuit structural model can be obtained, and the peak spectral values corresponding to each peak frequency and the frequency intervals corresponding to each peak frequency can be obtained. Then, for each peak frequency interval, the spectral value corresponding to the target frequency in the frequency interval is adjusted to the peak spectral value corresponding to the peak frequency, to obtain an adjusted frequency interval corresponding to the peak frequency, and the spectral value corresponding to the target frequency in the frequency interval is less than the peak spectral value corresponding to the peak frequency. Finally, the adjusted frequency intervals corresponding to each peak frequency are combined to obtain an adjusted seismic response spectrum of the connectable point of the main circuit structural model, and the seismic response spectrum of the connectable point of the main circuit structural model is updated to the adjusted seismic response spectrum of the connectable point of the main circuit structural model.
[0071] To further improve the robustness and conservatism of seismic analysis, spectral shape adjustment of the seismic response spectrum is introduced to cope with the inevitable parameter uncertainties in engineering. These uncertainties come from a wide range of sources, including the discreteness of the properties of structures and geotechnical materials, the deviation of equipment and structural mass distribution, the approximation of damping ratio values, and the errors brought by seismic analysis methods and modeling techniques (such as element type, boundary condition simplification, mesh density, etc.). These factors can all cause certain deviations between the natural frequencies of the actual structure and the calculation model, and if the seismic response spectrum is directly used for subsequent pipeline analysis, the dynamic response at key locations may be underestimated due to frequency misplacement.
[0072] Specifically, one or more significant peak frequencies (i.e. the frequencies corresponding to the local maximum of the spectral acceleration) can be identified from the original seismic response spectrum, and the peak spectral value corresponding to each peak frequency and its adjacent frequency interval are recorded. Subsequently, for each peak frequency, its corresponding frequency interval is widened according to the specification recommendation (e.g. ±15%), for example, if a peak frequency is 3.0 Hz, the widened interval is 2.55 Hz to 3.45 Hz. Within this widened interval, the spectral values corresponding to all the frequency points (i.e. target frequencies) originally below the peak spectral value are uniformly raised to the peak spectral value, thereby forming a flat plateau region. This operation ensures that even if the actual natural frequency of the structure shifts within ±15% due to modeling or material uncertainties, the corresponding maximum response will not be underestimated. Finally, all the adjusted frequency intervals processed by the above method are integrated with the unaffected spectral segments to generate an adjusted seismic response spectrum, which replaces the original spectrum as the final seismic response device spectrum output. Through this adjustment, the seismic response device spectrum subsequently applied to the pipeline structure model can more reliably cover the resonance risk caused by various parameter deviations, thereby significantly improving the safety margin and engineering reliability of the pipeline structure seismic response analysis.
[0073] Step S104: applying the seismic response spectrum of the connecting point in the primary loop structure model to the connectable point of the pipeline structure model, the connectable point of the pipeline structure model being used to indicate the pipeline structure model connected to the connectable point of the primary loop structure model.
[0074] In this application, the connectable point of the pipeline structure model refers to the interface position where the main pipeline is connected to the primary loop key equipment (such as the reactor pressure vessel, steam generator, main pump, etc.), which usually corresponds to the pipeline endpoint at the equipment nozzle. These nodes are physically rigidly connected to the primary loop structure, so their motion is not directly driven by the ground during an earthquake, but is dominated by the local dynamic response of the primary loop equipment under seismic action. If this characteristic is ignored and the ground seismic response spectrum is simply applied to the pipeline, the true stress state of the pipeline will be seriously distorted, possibly underestimating high-order modal excitation or incorrectly assuming consistent excitation phase. Therefore, the seismic response device spectrum driving method is adopted in the embodiments of the present application, which maps and applies the seismic response spectrum generated for each primary loop connecting point, containing multiple damping ratios and having undergone peak widening processing, to the corresponding connectable point of the pipeline model.
[0075] Step S105: obtaining the seismic response results of the pipeline structure model after applying the seismic response spectrum at the connectable point.
[0076] In the present application, the seismic response results of the pipe structure under the real coupling excitation can be obtained by performing a response spectrum method dynamic analysis on the pipe structure model to which the seismic response spectrum of the main loop at the connectable point is applied, through professional pipe stress analysis software (such as CAESAR II or AutoPIPE). The analysis firstly extracts a sufficient number of modes based on the modal characteristics of the pipe model to ensure that the effective mass participation rate in each direction meets the specification requirements (usually ≥ 90%), and then interpolates the maximum spectrum value in the multi-directional and multi-damping ratio equipment spectrum applied to the corresponding connection point according to the natural frequency of each mode and the preset damping ratio, and calculates the response of each degree of freedom in combination with the mode shape; subsequently, the responses of each mode are combined to obtain the envelope maximum seismic response by using the combination method such as SRSS or CQC which is recognized by the specification. The final output key results include: the primary and secondary stresses of the pipe (used to check the plastic collapse and fatigue failure), the maximum displacement and acceleration of each node in three directions (used to evaluate the clearance and collision risk), the seismic load borne by the support and hanger (used for support and rooting structure design), and the force and bending moment transmitted to the equipment nozzle, etc. Since the equipment spectrum used is derived from the real dynamic response of the main loop structure and has been processed by ± 15% peak widening to cover the uncertainty of modeling and material parameters, the obtained response results are physically realistic and have the necessary conservatism, which can fully and reliably support the seismic safety evaluation and engineering decision of the key pipe structure of the nuclear power plant.
[0077] In summary, the present application provides a method for obtaining the seismic response results of a pipe structure, which comprises: firstly, the independent modeling of the nuclear island main loop structure and the pipe structure by using the finite element algorithm and the pipe-specific algorithm respectively, which realizes the customized analysis of structures with different characteristics and avoids the loss of accuracy caused by the mismatch of dynamic parameters in the overall modeling. Then, the response of the main loop structure at the connectable point under the real seismic time history is calculated, and the seismic response spectrum is obtained by converting the complex time history information into spectral data representing the maximum response of the point, which provides comprehensive and concise input conditions for subsequent analysis. Subsequently, the obtained seismic response spectrum is applied to the corresponding connection point of the pipe structure model, and the seismic response of the main loop structure is accurately transmitted to the pipe structure model, thereby physically and realistically simulating the state of the pipe structure attached to the main loop structure in the actual earthquake. Finally, the seismic response results of the pipe structure model obtained based on this accurate input also have high accuracy. The method accurately calculates the seismic response spectrum and ensures the scientific reduction of the dynamic interaction between the main loop structure and the pipe structure, thereby improving the accuracy of the obtained seismic response results of the pipe structure.
[0078] The above describes a method for obtaining the seismic response results of a pipe structure provided by an embodiment of the present application. The following will introduce a device for obtaining the seismic response results of a pipe structure as described above.
[0079] Referring to Figure 7 , Figure 7 A structural schematic diagram of obtaining a seismic response result of a pipeline structure is provided for an embodiment of the present application. As Figure 7 shown, the train parking position determination apparatus comprises:
[0080] The construction unit 11 is configured to construct a main loop structure model based on the main loop structure of the nuclear island plant and a pipeline structure model based on the pipeline structure of the nuclear island plant.
[0081] The acquisition unit 12 is configured to calculate a seismic response time history of the connectable point of the main loop structure model based on the acquired seismic time histories of the connectable point of the main loop structure model in at least two directions under a preset seismic level, the connectable point of the main loop structure model being used to indicate the connectable point of the main loop structure model in the pipeline structure model.
[0082] The calculation unit 13 is configured to calculate a seismic response response spectrum of the connectable point of the main loop structure model based on the seismic response time history of the connectable point of the main loop structure model.
[0083] The application unit 14 is configured to apply the seismic response response spectrum of the connectable point in the main loop structure model to the connectable point of the pipeline structure model, the connectable point of the pipeline structure model being used to indicate the connectable point of the pipeline structure model in the main loop structure model.
[0084] The determination unit 15 is configured to obtain a seismic response result of the pipeline structure model after the seismic response response spectrum is applied to the connectable point.
[0085] In a possible implementation, the acquisition unit 12 comprises:
[0086] The analysis subunit is configured to analyze the acquired seismic time histories of the connectable point of the main loop structure model in at least two directions under a preset seismic level respectively by using a mode decomposition dynamic time history analysis method to obtain seismic response time histories of the connectable point of the main loop structure model in each direction.
[0087] The time history determination subunit is configured to determine the seismic response time histories of the connectable point of the main loop structure model in each direction as the seismic response time history of the connectable point of the main loop structure model.
[0088] In a possible implementation, the calculation unit 13 comprises:
[0089] An operation unit is configured to perform numerical integral operation on the seismic response time history of the connectable point of the main loop structure model based on a plurality of preset parameters to obtain absolute motion response time history of the connectable point of the main loop structure model corresponding to each of the preset parameters, wherein each of the preset parameters comprises a preset natural frequency and a preset damping.
[0090] A determination sub-unit is configured to determine the maximum absolute motion response time history of the connectable point of the main loop structure model corresponding to each of the preset parameters as a spectrum value of the connectable point of the main loop structure model corresponding to each of the preset parameters.
[0091] A combination sub-unit is configured to combine the spectrum values of the connectable point of the main loop structure model corresponding to each of the preset parameters to obtain a seismic response response spectrum of the connectable point of the main loop structure model.
[0092] In a possible implementation, the apparatus can further include:
[0093] A frequency acquisition unit is configured to acquire a plurality of peak frequencies of the seismic response response spectrum of the connectable point of the main loop structure model, and a peak spectrum value corresponding to each of the peak frequencies and a frequency interval corresponding to each of the peak frequencies.
[0094] An adjustment unit is configured to, for each of the frequency intervals corresponding to the peak frequencies, adjust a spectrum value corresponding to a target frequency in the frequency interval to a peak spectrum value corresponding to the peak frequency to obtain an adjusted frequency interval corresponding to the peak frequency, wherein the spectrum value corresponding to the target frequency in the frequency interval is less than the peak spectrum value corresponding to the peak frequency.
[0095] A combination unit is configured to combine the adjusted frequency intervals corresponding to the peak frequencies to obtain an adjusted seismic response response spectrum of the connectable point of the main loop structure model, and update the seismic response response spectrum of the connectable point of the main loop structure model to the adjusted seismic response response spectrum of the connectable point of the main loop structure model.
[0096] In a possible implementation, the construction unit 11 includes:
[0097] A first construction sub-unit is configured to construct a main loop structure model taking shell elements and beam elements as basic elements based on a main loop structure of a nuclear island plant by using a finite element analysis algorithm.
[0098] A second construction sub-unit is configured to construct a pipe structure model taking beam elements as basic elements based on a pipe structure of the nuclear island plant by using a pipe analysis algorithm.
[0099] The embodiments of the present application further provide an electronic device. Refer to Figure 8The diagram illustrates a structural schematic suitable for implementing the electronic device in the embodiments of this application. The electronic device in the embodiments of this application may include, but is not limited to, fixed terminals such as mobile phones, laptops, PDAs (personal digital assistants), PADs (tablet computers), desktop computers, etc. Figure 8 The electronic device shown is merely an example and should not impose any limitation on the functionality and scope of use of the embodiments of this application.
[0100] like Figure 8 As shown, the electronic device may include a processing unit (e.g., a central processing unit, a graphics processing unit, etc.) 801, which can perform various appropriate actions and processes according to a program stored in a read-only memory (ROM) 802 or a program loaded from a storage device 808 into a random access memory (RAM) 803. When the electronic device is powered on, the RAM 803 also stores various programs and data required for the operation of the electronic device. The processing unit 801, ROM 802, and RAM 803 are interconnected via a bus 804. An input / output (I / O) interface 805 is also connected to the bus 804.
[0101] Typically, the following devices can be connected to I / O interface 805: input devices 806 including, for example, touchscreens, touchpads, keyboards, mice, cameras, microphones, accelerometers, gyroscopes, etc.; output devices 807 including, for example, liquid crystal displays (LCDs), speakers, vibrators, etc.; storage devices 808 including, for example, memory cards, hard drives, etc.; and communication devices 809. Communication device 809 allows electronic devices to communicate wirelessly or wiredly with other devices to exchange data. Although Figure 8 Electronic devices with various devices are shown, but it should be understood that it is not required to implement or have all of the devices shown. More or fewer devices may be implemented or have alternatively.
[0102] This application also provides a computer program product including computer-readable instructions, which, when executed on an electronic device, cause the electronic device to implement a method for obtaining the seismic response results of any pipeline structure provided in this application.
[0103] This application also provides a computer-readable storage medium carrying one or more computer programs. When the one or more computer programs are executed by an electronic device, the electronic device can implement the method for obtaining the seismic response results of any pipeline structure provided in this application.
[0104] It should be noted that the apparatus embodiments described above are merely illustrative, and the units described as separate units can or can not be physically separate, and the units displayed as units can or can not be physical units, i.e., can be located in one place, or can be distributed to multiple network units. Part or all of the modules can be selected according to actual needs to achieve the purpose of the embodiment. In addition, the connection relationship between the modules in the apparatus embodiment provided in the present application indicates that there is a communication connection between them, which can be implemented as one or more communication buses or signal lines.
[0105] Through the description of the above embodiments, those skilled in the art can clearly understand that the present application can be realized by means of software and the necessary general hardware, and of course can also be realized by special hardware including special integrated circuits, special CPUs, special memories, special components, etc. Generally, functions completed by computer programs can be easily realized by corresponding hardware, and the specific hardware structure for realizing the same function can also be various, such as analog circuit, digital circuit or special circuit, etc. However, for the present application, software program implementation is a better embodiment. Based on this understanding, the technical solutions of the present application can be embodied in the form of software products, which are stored in readable storage media, such as computer floppy disks, U disks, mobile hard disks, ROM, RAM, magnetic or optical disks, etc., including a plurality of instructions for making a computer device (which can be a personal computer, a training device, or a network device, etc.) execute the methods described in various embodiments of the present application.
[0106] In the above embodiments, all or part can be realized by software, hardware, firmware or any combination thereof. When realized by software, it can be realized in the form of a computer program product in whole or in part.
[0107] The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, the processes or functions described in the embodiments of the present application are generated in whole or in part. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable devices. The computer instructions can be stored in a computer-readable storage medium or transmitted from one computer-readable storage medium to another computer-readable storage medium, for example, the computer instructions can be transmitted from one website, computer, training device or data center to another website, computer, training device or data center through wired (such as coaxial cable, optical fiber, digital subscriber line (DSL)) or wireless (such as infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be stored by the computer or a data storage device such as a training device, a data center, etc. integrated with one or more available media sets. The available media can be a magnetic medium (for example, a floppy disk, a hard disk, a magnetic tape), an optical medium (for example, a DVD), or a semiconductor medium (for example, a solid state disk (SSD)), etc.
Claims
1. A method for obtaining seismic response results of a pipeline structure, characterized in that, include: Based on the main loop structure of the nuclear island plant, a main loop structure model is constructed using the finite element analysis algorithm, and based on the pipeline structure of the nuclear island plant, a pipeline structure model is constructed using the pipeline analysis algorithm. Based on the seismic motion time histories of the connectable points of the main loop structure model in at least two directions under a preset seismic level, the seismic response time histories of the connectable points of the main loop structure model are calculated. The connectable points of the main loop structure model are used to indicate the connectable points of the main loop structure model with the pipeline structure model. Based on the seismic response time history of the connectable points of the main loop structure model, the seismic response spectrum of the connectable points of the main loop structure model is calculated. The seismic response spectrum of the connection points in the main loop structure model is applied to the connectable points of the pipeline structure model, wherein the connectable points of the pipeline structure model are used to indicate the connectable points in the pipeline structure model that are connected to the main loop structure model. Obtain the seismic response results of the pipeline structure model after applying the seismic response spectrum at the connectable point.
2. The method for obtaining the seismic response results of a pipeline structure according to claim 1, characterized in that, The calculation of the seismic response time history of the connectable points of the main loop structural model based on the obtained seismic motion time histories in at least two directions at a preset seismic level includes: The seismic response time histories of the connectable points of the main loop structural model under a preset seismic level are analyzed using the modal decomposition dynamic time history analysis method to obtain the seismic response time histories of the connectable points of the main loop structural model in each direction. The seismic response time histories of each direction of the connectable points of the main loop structure model are determined as the seismic response time histories of the connectable points of the main loop structure model.
3. The method for obtaining the seismic response results of a pipeline structure according to claim 1, characterized in that, The seismic response time history of the connectable points in the main loop structural model is used to calculate the seismic response spectrum of the connectable points in the main loop structural model, including: Based on multiple preset parameters, the seismic response time history of the connectable points of the main loop structure model is numerically integrated to obtain the absolute motion response time history of the connectable points of the main loop structure model corresponding to each preset parameter. Each set of preset parameters includes a preset natural frequency and a preset damping. The maximum absolute motion response time history of the connectable points of the main loop structure model corresponding to each of the preset parameters is determined as the spectral value of the connectable points of the main loop structure model corresponding to each of the preset parameters. The seismic response spectrum of the connectable points of the main loop structure model corresponding to each preset parameter is combined to obtain the seismic response spectrum of the connectable points of the main loop structure model.
4. The method for obtaining the seismic response results of a pipeline structure according to claim 1, characterized in that, After calculating the seismic response spectrum of the connectable points of the main loop structural model based on the seismic response time history of the connectable points of the main loop structural model, the method further includes: Obtain multiple peak frequencies of the seismic response spectrum of the connectable points of the main loop structure model, as well as the peak spectral value and frequency range corresponding to each peak frequency; For each frequency interval corresponding to the peak frequency, the spectral value corresponding to the target frequency in the frequency interval is adjusted to the peak spectral value corresponding to the peak frequency to obtain the adjusted frequency interval corresponding to the peak frequency. The spectral value corresponding to the target frequency in the frequency interval is less than the peak spectral value corresponding to the peak frequency. The adjusted frequency intervals corresponding to each of the peak frequencies are combined to obtain the seismic response spectrum of the connectable points of the adjusted main loop structure model, and the seismic response spectrum of the connectable points of the main loop structure model is updated to the seismic response spectrum of the connectable points of the adjusted main loop structure model.
5. The method for obtaining the seismic response results of a pipeline structure according to claim 1, characterized in that, The main loop structure based on the nuclear island plant is modeled using finite element analysis, and a pipeline structure model is modeled using pipeline analysis algorithms, based on the pipeline structure of the nuclear island plant. This includes: Based on the main loop structure of the nuclear island plant, a main loop structure model with shell elements and beam elements as basic units was constructed using the finite element analysis algorithm. Based on the pipeline structure of the nuclear island plant, a pipeline structure model with beam elements as the basic unit is constructed using pipeline analysis algorithms.
6. A device for acquiring seismic response results of a pipeline structure, characterized in that, include: The building unit is used to construct the main loop structure model based on the main loop structure of the nuclear island plant using the finite element analysis algorithm, and to construct the pipeline structure model based on the pipeline structure of the nuclear island plant using the pipeline analysis algorithm. The acquisition unit is used to calculate the seismic response time history of the connectable points of the main loop structure model based on the acquired seismic motion time histories of at least two directions under a preset seismic level. The connectable points of the main loop structure model are used to indicate the connectable points in the main loop structure model with the pipeline structure model. The calculation unit is used to calculate the seismic response spectrum of the connectable points of the main loop structure model based on the seismic response time history of the connectable points of the main loop structure model. An application unit is used to apply the seismic response spectrum of the connection points in the main loop structure model to the connectable points in the pipeline structure model, wherein the connectable points in the pipeline structure model are used to indicate the connectable points in the pipeline structure model that are connected to the main loop structure model. A determining unit is used to obtain the seismic response results of the pipeline structure model after the seismic response spectrum is applied at the connectable point.
7. The device for obtaining the seismic response results of a pipeline structure according to claim 6, characterized in that, The acquisition unit includes: The analysis sub-unit is used to analyze the seismic motion time histories of the connectable points of the main loop structure model in at least two directions under a preset seismic level using the modal decomposition dynamic time history analysis method, so as to obtain the seismic response time histories of the connectable points of the main loop structure model in each direction. The time history determination subunit is used to determine the seismic response time histories of each direction of the connectable points of the main loop structure model as the seismic response time histories of the connectable points of the main loop structure model.
8. A computer program product, characterized in that, Includes computer-readable instructions that, when executed on an electronic device, cause the electronic device to implement the method for obtaining seismic response results of a pipeline structure as described in any one of claims 1 to 6.
9. An electronic device, characterized in that, It includes at least one processor and a memory connected to the processor, wherein: The memory is used to store computer programs; The processor is used to execute the computer program to enable the electronic device to implement the method for obtaining the seismic response results of the pipeline structure as described in any one of claims 1 to 6.
10. A computer storage medium, characterized in that, The storage medium carries one or more computer programs that, when executed by an electronic device, enable the electronic device to implement the method for obtaining the seismic response results of the pipeline structure as described in any one of claims 1 to 6.