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Fatigue Analysis of Nuclear Class-1 Small-Bore Piping Connections in CANDU Reactors CANDU反应堆核1类小口径管接头疲劳分析
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84938
S. A. Rehman, Ahmed R. Alian, Najmul H. Abid
Class 1 nuclear piping systems, small-bore piping branch connections are susceptible to high thermal fatigue stresses, particularly in cases where harsh thermal transients are present. Calculating the Cumulative Usage Factor (CUF) using the procedure defined in the ASME Boiler and Pressure Vessel Code in Section III NB-3600 can limit the permissible cycle life (i.e., fatigue life) of the piping component. As per NB-3630(c), when a design does not satisfy the requirements of NB-3640 and NB-3650, a more detailed alternative analysis defined in NB-3200 can be used. This work compares the code requirements, analysis methodology, and results of a typical small bore branch connection connected to a piping header that is assessed against the requirements of NB-3600 and NB-3200. Piping is modeled using beam elements by utilizing PIPESTRESS piping analysis software for the NB-3600 based analysis. In comparison, a finite element model in Ansys Workbench is developed for the NB-3200 transient thermal and structural analysis. Representative pressure and thermal transients applicable to the heat transport system of a typical CANDU reactor are utilized in the analysis. The analysis results show that a significant drop in the Cumulative Usage Factor is achieved with the NB-3200 approach when compared with NB-3600.
1级核管道系统,小口径管道分支连接容易受到高热疲劳应力的影响,特别是在存在恶劣热瞬态的情况下。使用ASME锅炉和压力容器规范第III节NB-3600中定义的程序计算累积使用系数(CUF)可以限制管道部件的允许循环寿命(即疲劳寿命)。根据NB-3630(c),当设计不符合NB-3640和NB-3650的要求时,可以使用NB-3200中定义的更详细的替代分析。这项工作比较了规范要求、分析方法和连接到管道集管的典型小口径分支连接的结果,并根据NB-3600和NB-3200的要求进行了评估。管道采用梁单元建模,利用PIPESTRESS管道分析软件进行基于NB-3600的分析。在Ansys Workbench中建立了NB-3200的有限元模型,对其进行了瞬态热分析和结构分析。采用了典型CANDU反应堆传热系统中具有代表性的压力和热瞬态。分析结果表明,与NB-3600方法相比,NB-3200方法的累积使用系数显著下降。
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引用次数: 0
Evaluation of Flashing Jet Impact on Surroundings Due to Leakage of High Pressure Pipes 高压管道泄漏时闪光射流对周围环境冲击的评价
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-80253
T. Yuasa, Shun Watanabe, R. Morita
If the water piping system under high temperature and pressure is damaged and water is ejected into the atmosphere, a jet with depressurization boiling (Flashing) may occur. Therefore, it is necessary to evaluate the range of the jet impact on surrounding equipment and people. The range of the jet impact is evaluated by the existing code adopted in Japan (JSME S ND1) which referred to the standards adopted in America (ANSI/ANS-58.2-1988). The problem with this standard is that the experimental validity of the range of the jet impact has not been confirmed in Japan. In this study, we investigated experimentally to confirm the validity of the expanding angle and the affected area of the flashing jet of saturated water under low-pressure conditions, and further investigated the high-pressure conditions, which are difficult in the experiment, using Computational Fluid Dynamics (CFD).
如果高温高压下的水管系统被损坏,水被喷射到大气中,可能会出现减压沸腾(闪蒸)的射流。因此,有必要评估射流对周围设备和人员的影响范围。喷气机撞击的范围是根据日本采用的现行规范(JSME S ND1)进行评估的,该规范参考了美国采用的标准(ANSI/ANS-58.2-1988)。这一标准的问题在于,喷气机撞击范围的实验有效性在日本尚未得到证实。本研究通过实验验证了低压条件下饱和水闪蒸射流扩展角和影响面积的有效性,并利用计算流体力学(CFD)对实验难点高压条件进行了进一步研究。
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引用次数: 0
Bifurcation Buckling Analysis and Non-Linear Collapse Analysis of Teardrop Shaped Vacuum Chamber 泪滴型真空室的分岔屈曲分析及非线性坍塌分析
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-82187
Hao Jiang, C. Barbier, B. Riemer
The Spallation Neutron Source (SNS) accelerator is being upgraded to increase the beam power from 1.4MW at 1GeV to 2.8MW at 1.3GeV. The currents in the middle two injection chicane magnets cannot simply be scaled up to accommodate the increased injection energy of 1.3GeV due to potential excessive H− stripping; the magnets must be replaced with longer, lower-field magnets and the associated vacuum chambers need to be redesigned. A new teardrop-shaped vacuum chamber was initially designed to accommodate the new magnets and the updated beam paths and instrumentation. This paper focuses on the structural stability study of the teardrop shape vacuum chamber based on buckling analysis. Protection against collapse from buckling according to the ASME BPVC requirement has been evaluated in depth. First, a Type-1 bifurcation buckling analysis using a linear eigenvalue solution to determine the critical load factor was performed. Subsequently, a Type-3 nonlinear collapse analysis was conducted using the static Riks method with elastic-plastic material properties and imperfections explicitly considered in the model geometry. The critical buckling load for the teardrop shape vacuum chamber was confidently estimated based upon this two-stage approach.
散裂中子源(SNS)加速器正在升级,以将光束功率从1GeV时的1.4MW增加到1.3GeV时的2.8MW。由于潜在的过量H -剥离,中间两个注入弯道磁体的电流不能简单地放大以适应增加的1.3GeV注入能量;磁体必须更换为更长、低磁场的磁体,相关的真空室需要重新设计。最初设计了一个新的泪滴形真空室,以容纳新的磁体和更新的光束路径和仪器。本文主要研究了基于屈曲分析的泪滴型真空室的结构稳定性。根据ASME BPVC要求,对抗屈曲坍塌防护进行了深入评估。首先,利用线性特征值解进行了1型分岔屈曲分析,以确定临界载荷因子。随后,采用静态Riks方法进行了3型非线性倒塌分析,并在模型几何中明确考虑了材料的弹塑性特性和缺陷。基于此两阶段方法,对泪滴型真空室的临界屈曲载荷进行了较为可靠的估计。
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引用次数: 0
Evaluation of Localized Stresses at Spherical Pressure Vessel-to-Column Support Junction Using Closed-Form Equations 用封闭方程计算球形压力容器-柱支撑连接处局部应力
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84890
Vivek Manjrekar
Spherical pressure vessels (spheres) are widely used for storing liquids and gases at high pressures. The post plates of column-supported spheres are subjected to additional loads imposed by the supporting columns. The resulting localized stresses at column-to-post plate junction are difficult to analyze using analytical methods. Numerical techniques, such as the finite element method (FEM) are generally used to analyze the local discontinuity stresses. In this work, a finite element parametric study is performed using a wide range of sphere geometries. The stresses at various locations around the column attachment are investigated. The influence of various loadings on the local stresses is also investigated. The internal membrane forces and bending moments obtained from the finite element model are then used to establish the dimensionless curves. A step-by-step procedure and the closed-form equations are provided to calculate membrane stresses, bending stresses and the combined stresses. A table of load factors is included to estimate the maximum vertical and horizontal loads on post plate due to wind or seismic forces. Finally, a sample problem is presented to illustrate the analysis procedure. Using this easy-to-use analysis approach, the design engineers will be able to calculate the localized stresses in sphere post plates without having to utilize the finite element method.
球形压力容器(球)被广泛用于在高压下储存液体和气体。柱支撑球的柱板承受由支撑柱施加的附加载荷。柱柱板结合处的局部应力难以用解析方法分析。局部不连续应力的分析一般采用有限元法等数值方法。在这项工作中,使用广泛的球体几何形状进行了有限元参数化研究。研究了柱附件周围不同位置的应力。研究了不同载荷对局部应力的影响。利用有限元模型得到的膜内力和弯矩,建立了无量纲曲线。给出了计算膜应力、弯曲应力和复合应力的分步程序和封闭方程。荷载因子表包括估计最大垂直和水平荷载在柱板上由于风或地震的力量。最后,给出了一个示例问题来说明分析过程。使用这种易于使用的分析方法,设计工程师将能够计算球形柱板的局部应力,而不必使用有限元方法。
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引用次数: 0
Plan of a Shaking Table Test on a Piping System Model for Verifying the Fracture-Control Concept 为验证裂缝控制概念,对管道系统模型进行振动台试验的方案
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84266
Izumi Nakamura, N. Kasahara
To mitigate the severe effects in the beyond design basis accident (BDBA), the concept of fracture control was proposed in the previous study. The idea of the fracture control is to manage the accident consequence by controlling to cause minor failure prior to the fatal failure. Taking the piping system as an example, boundary failure should be prevented under the BDBA condition, whereas the minor failure, such as support failure which does not affect the function of the piping system, can be acceptable. To realize the fracture control concept on piping system, shaking table tests on piping systems with support are planned. As the first step of the attempt, fundamental experiment on relatively simple piping system and support configuration was conducted. In this experiment, pipe elbows made of simulation material (lead-antimony alloy) were used, and the support was modeled by a plate. Through the experiments, the fracture of support successfully occurred prior to the large deformation of pipe itself. The results showed that the fracture control may be possible when the fracture of support occurred prior to the failure of pipe itself, and the ratio of the input frequency to the specimen’s natural frequency (fR) be over 1.0 after the support failure. The test results demonstrated the possibility of fracture control concept by support failure. As the next step of the attempt, shaking table test on more realistic piping system, which is named as validation test, is now prepared. The preliminary analysis shows that the inelastic behavior of support is expected.
为了减轻超出设计基础事故(BDBA)的严重影响,前人提出了裂缝控制的概念。断裂控制的思想是在发生致命断裂之前控制引起轻微断裂,从而控制事故后果。以管道系统为例,在BDBA条件下应防止边界破坏,但可以接受较小的破坏,如支座破坏,但不影响管道系统的功能。为实现管系断裂控制理念,对带支架的管系进行了振动台试验。作为试验的第一步,对较为简单的管道系统和支架结构进行了基础试验。本实验采用模拟材料(铅锑合金)制成的管道弯头,支架采用平板模拟。通过试验,在管道本身发生大变形之前,支架成功地发生了断裂。结果表明:当支架断裂发生在管道本身破坏之前,且支架破坏后输入频率与试件固有频率(fR)之比大于1.0时,裂缝控制是可能的;试验结果证明了支架破坏控制裂缝概念的可行性。作为下一步的尝试,现在准备在更现实的管道系统上进行振动台试验,即验证试验。初步分析表明,支座的非弹性性能在预期范围内。
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引用次数: 0
Stud Bolt Thread Engagement: A Fitness for Service Approach 螺柱螺栓螺纹啮合:适用于服务的方法
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84722
Colton M. Cranford
In the pressure equipment industry, codes of construction stipulate that fastener assemblies shall exhibit thread engagement through the full depth of the nut. In many older facilities and in locations with poor quality control, assemblies may be found on in-service equipment which do not have full thread engagement and do not meet the requirements of the code of construction. This is often found during the routine visual inspection of equipment and is flagged as a construction code deficiency requiring attention. Current post construction code guidance on fastener assemblies is ambiguous on how to handle fasteners with less-than-full thread engagement exceeding one thread of shortfall. The perceived risk of such a lack of thread engagement may lead maintenance organizations to perform costly and high-risk remediation activities, such as in-service “clamping” or “single stud replacement,” also known as “hot-bolting.” However, in many situations, fastener assembly strength can be proven to be sufficient for a given joint through analytical evaluation. Using a combination of innovative and existing thread strength and flanged joint considerations, the minimum required length of engagement, and, thus, the maximum allowable lack of engagement, can be safely determined for most fasteners on flange connections. This paper reviews some of the most important fastener strength considerations to propose a post-construction evaluation technique to determine the fitness for service of less-than-fully engaged fastener assemblies.
在压力设备行业,施工规范规定紧固件组件应通过螺母的全深度呈现螺纹啮合。在许多较旧的设施和质量控制较差的地方,可能会发现在役设备上的组件没有全螺纹啮合,也不符合建筑规范的要求。这通常是在设备的日常目视检查中发现的,并被标记为需要注意的建筑规范缺陷。目前关于紧固件组件的施工后规范指南在如何处理螺纹啮合不足超过一根螺纹不足的紧固件方面含糊不清。这种缺乏螺纹接合的感知风险可能导致维护组织执行昂贵和高风险的补救活动,例如在服务中的“夹紧”或“单个螺柱更换”,也称为“热螺栓连接”。然而,在许多情况下,通过分析评估,可以证明紧固件装配强度足以满足给定的连接。结合创新的和现有的螺纹强度和法兰连接考虑因素,可以安全地确定法兰连接上的大多数紧固件所需的最小接合长度,从而确定最大允许的接合缺失。本文回顾了一些最重要的紧固件强度考虑因素,提出了一种施工后评估技术,以确定非完全接合紧固件组件的适用性。
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引用次数: 0
ASME Sec. III NB-3200-Based Environmental Fatigue Analysis of Safety Injection Piping for Determining Postulated Rupture Locations 基于nb -3200的安全注射管道环境疲劳分析,用于确定假定的破裂位置
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-81565
B. Lee, I. Nam, Wooseok Yang, C. Lee, Dongjae Lee
Branch Technical Position (BTP) 3-4 provides a guideline to determine postulated rupture locations for ASME Class 1 piping. This guideline contains criteria related to the maximum cyclic stress ranges and cumulative usage factor (CUF) by using only NB-3600-based procedure which may have conservative analysis results for determining postulated rupture locations. Recently issued BTP 3-4 Rev.3 provides two different CUF limits of 0.1 for air environments and 0.4 for Light Water Reactor (LWR) environments, respectively, for determining postulated rupture locations. To calculate CUFen considering the effects of the LWR environments, the fatigue usage factor determined in the air environments based on NB-3200 or NB-3600 of ASME B&PV Sec. III is multiplied by the environmental fatigue correction factor (Fen) based on Regulatory Guide 1.207 (RG 1.207). The Fen values may vary depending on the LWR environment conditions and the maximum Fen can be determined as a factor of approximately 14 for stainless steels. Also, RG 1.207 requires to use the new design fatigue curves (DFC), which have been developed recently by Argonne National Laboratory, to perform the environmental fatigue analysis. Since the new DFC predicts much shorter fatigue lives than the current DFC given in ASME B&PV Sec. III for stainless steels, the CUFen in the LWR environments could be significantly increased. For these reasons, many points in piping systems could be determined to be postulated rupture locations due to exceeding the CUFen limit of 0.4 in the LWR environments. In this paper, NB-3200- and NB-3600-based stress analyses and fatigue analyses considering both the air environments and the LWR environments for the safety injection (SI) piping have been performed to evaluate the conservatism of NB-3600-based stress analysis results and to review the effects of the LWR environments for determining postulated rupture locations.
分支技术位置(BTP) 3-4提供了确定ASME 1级管道假定破裂位置的指南。本指南包含与最大循环应力范围和累积使用系数(CUF)相关的标准,仅使用基于nb -3600的程序,该程序在确定假定破裂位置时可能具有保守的分析结果。最近发布的BTP 3-4 Rev.3提供了两种不同的CUF限值,分别为空气环境0.1和轻水反应堆(LWR)环境0.4,用于确定假定的破裂位置。为了计算考虑LWR环境影响的CUFen,在空气环境中根据ASME B&PV第III节NB-3200或NB-3600确定的疲劳使用系数乘以根据法规指南1.207 (RG 1.207)确定的环境疲劳校正系数(Fen)。Fen值可能根据LWR环境条件而变化,对于不锈钢,Fen的最大值可以确定为大约14的因子。此外,RG 1.207要求使用Argonne国家实验室最近开发的新的设计疲劳曲线(DFC)来进行环境疲劳分析。由于新的DFC预测的不锈钢疲劳寿命比ASME & pv章节III中给出的当前DFC短得多,因此低水循环环境下的CUFen可以显著提高。由于这些原因,在低水比环境中,由于CUFen超过0.4的极限,管道系统中的许多点可能被确定为假定的破裂位置。本文对安全注入管道进行了基于NB-3200和nb -3600的应力分析和疲劳分析,同时考虑了空气环境和LWR环境,以评估基于nb -3600的应力分析结果的保守性,并审查了LWR环境对确定假定破裂位置的影响。
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引用次数: 0
Experimental Investigation on the Fatigue Strength for Different Tightening Procedures and Materials in Metric Screws 公制螺钉不同拧紧方法和材料疲劳强度的试验研究
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84644
S. Fini, D. Croccolo, M. De Agostinis, G. Olmi, F. Robusto, C. Scapecchi
The aim of this present paper is to investigate the influence of some joint design parameters on the fatigue strength of metric screws. This investigation involved different screws strength grades (8.8 and 12.9). The experimental tests were carried out on black oxidized M6 screws, coupled with steel nuts of the corresponding strength class. Both screws and nuts were tested in “as received” lubrication condition. The screws were tested untightened and tightened with the tightening torque causing yielding (100% of the yield stress). A preliminary test to evaluate the tightening torque providing the desired equivalent stress on the screw was carried out. A tightening machine bench which was able to measure the tightening load and the friction coefficients both in the underhead and in the thread was used. The tests were run controlling the tightening torque and the spindle speed. In the following tests, the screws were tightened at the desired tightening torque and then untightened by means of the aforementioned tightening machine bench. Then the screws and the nuts were assembled on an ad hoc test fixture and tested on a resonant testing machine in order to evaluate the screw fatigue limit according to the international standard ISO 3800. The experimental results were processed by means of statistical tools of two-way ANOVA and Fisher Test in order to evaluate the effect of each parameter on the fatigue response of the screws.
本文的目的是研究一些连接设计参数对公制螺钉疲劳强度的影响。该研究涉及不同的螺钉强度等级(8.8和12.9)。采用黑色氧化M6螺钉,配以相应强度等级的钢螺母进行了试验研究。螺钉和螺母均在“收到的”润滑条件下进行了测试。将螺钉松开和拧紧,拧紧力矩导致屈服(100%屈服应力)。在提供所需的螺杆等效应力的情况下,进行了评估拧紧扭矩的初步试验。采用了一种能够同时测量螺纹内和螺纹内的拧紧载荷和摩擦系数的拧紧机床台架。在控制拧紧力矩和主轴转速的条件下进行了试验。在接下来的试验中,将螺钉按要求的拧紧力矩拧紧,然后通过上述拧紧机床台松开。根据国际标准ISO 3800,将螺钉和螺母组装在专用测试夹具上,并在共振试验机上进行测试,评估螺钉的疲劳极限。采用双因素方差分析和Fisher检验等统计工具对试验结果进行处理,以评价各参数对螺钉疲劳响应的影响。
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引用次数: 1
How Data Point Numbers in Material Curve Affect Ansys Mechanical Simulation 材料曲线中的数据点数如何影响Ansys力学模拟
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-84254
Qi Li, Rafal Sulwinksi
Finite element analysis (FEA) plays a vital role in new product design. When designing components with a complex geometry and/or complex loading, the nonlinear elastic-plastic analysis method is recommended in the ASME Boiler and Pressure Vessel Code (BPVC). However, the true stress and true strain material curve must be calculated first before elastic-plastic analysis can be performed. ASME BPVC has provided the method to calculate the material curve, but first, the user has to decide how many data points to use in Ansys. Next, the user needs to pick a plasticity model to generate the curve for simulation. This paper describes how Ansys uses the data points in the material curve to calculate the stress and strain, specifically the sublayer or overlay model, in which the material is assumed to be composed of a number of sublayers or subvolumes. In addition, it includes case studies that evaluate the impact of data point numbers in the material curve on the Ansys simulation accuracy and solve time. It was discovered that the simulation accuracy was slightly affected by the data point numbers in the material curve; however, the data point numbers can have a significant effect on the solve time of each iteration: the more data point numbers, the more solve time for each iteration.
有限元分析在新产品设计中起着至关重要的作用。当设计具有复杂几何形状和/或复杂载荷的部件时,ASME锅炉和压力容器规范(BPVC)推荐使用非线性弹塑性分析方法。然而,在进行弹塑性分析之前,必须首先计算材料的真应力和真应变曲线。ASME BPVC提供了计算材料曲线的方法,但首先,用户必须决定在Ansys中使用多少个数据点。接下来,用户需要选择一个塑性模型来生成仿真曲线。本文描述了Ansys如何利用材料曲线中的数据点来计算应力和应变,特别是子层或叠加模型,该模型假设材料由许多子层或子体组成。此外,它还包括评估材料曲线中数据点数对Ansys仿真精度和求解时间的影响的案例研究。结果表明,材料曲线中数据点个数对仿真精度影响较小;然而,数据点数对每次迭代的求解时间有显著影响:数据点数越多,每次迭代的求解时间就越长。
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引用次数: 0
A Reduced Order Modeling in Finite Element for Rapid Qualification of Creep-Resistant Alloys 抗蠕变合金快速鉴定的有限元降阶建模
Pub Date : 2022-07-17 DOI: 10.1115/pvp2022-82065
Md. Abir Hossain, C. Stewart
This study outlines the application of a Reduced Order Modeling (ROM) approach for the probabilistic creep response of components subject to creep conditions. Time-dependent creep damage is unavoidably inflicted in elevated temperature. Typical operating condition fluctuations experienced during service can greatly limit creep life when compared to the ideal design conditions. To mimic the uncertainty in component, probabilistic Finite Element Analysis (FEA) can be employed; however, numerous full-field FEA simulations (103−105 trials) for probabilistic assessments are time-intensive and computationally prohibitive. To address this challenge, the computationally efficient ROM approach is introduced for probabilistic creep deformation, damage, and rupture predictions in FEA. In this approach, full-scale probabilistic simulation using a 1D model are performed, the extremum conditions retrieved, and applied in 2D/3D model simulations to capture the scatter bands of component response. The Wilshire-Cano-Stewart (WCS) model is calibrated to quintuplicate 304 Stainless steel data. Test condition, initial damage, and material property uncertainty are incorporated into the WCS model via appropriate probability distribution function (pdfs). A USERCREEP.F material model is developed for the WCS model and compiled for ANSYS FEA simulations. Deterministic simulations of the WCS model are carried out in FEA for validation. The goodness-of-fit between the prediction and experiment are observed to be satisfactory. Probabilistic predictions are executed in the 1D model to generate the creep deformation, damage, and rupture prediction. The extremum cases of ductility, rupture, and area under creep (AUC) curves are established. The extremum cases alone are simulated using a 2D model to capture the component level uncertainty. A %Error statistical analysis is performed to verify the accuracy of ROM approach and further validate the approach for proposed simulation of a complex geometry (e.g., turbine blade) at a significantly reduced computational time and memory. Future investigations will introduce stochasticity, temporal, and spatial uncertainty for component-level simulation and improved prediction.
本研究概述了在蠕变条件下构件概率蠕变响应的降阶建模(ROM)方法的应用。温度升高时,不可避免地会造成随时间变化的蠕变损伤。与理想的设计条件相比,在使用过程中经历的典型操作条件波动会极大地限制蠕变寿命。为了模拟构件的不确定性,可以采用概率有限元分析(FEA);然而,用于概率评估的大量全场有限元模拟(103 - 105次试验)耗时且计算上令人望而却步。为了解决这一挑战,在有限元分析中引入了计算效率高的ROM方法,用于概率蠕变变形、损伤和破裂预测。在该方法中,使用一维模型进行全尺寸概率模拟,检索极值条件,并将其应用于2D/3D模型模拟,以捕获组件响应的散射带。Wilshire-Cano-Stewart (WCS)模型被校准为304不锈钢数据的五倍。试验条件、初始损伤和材料性能不确定性通过适当的概率分布函数(pdf)纳入WCS模型。USERCREEP。针对WCS模型建立了F材料模型,并编制了ANSYS有限元仿真。在有限元分析中对WCS模型进行了确定性仿真验证。预测与实验的拟合优度令人满意。在一维模型中执行概率预测,以生成蠕变变形、损伤和破裂预测。建立了延性、断裂和蠕变面积曲线的极值情况。使用2D模型单独模拟极值情况,以捕获组件级别的不确定性。进行了%误差统计分析,以验证ROM方法的准确性,并进一步验证该方法在显著减少计算时间和内存的情况下模拟复杂几何形状(例如涡轮叶片)。未来的研究将引入随机性、时间和空间的不确定性来进行组件级模拟和改进预测。
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引用次数: 0
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Volume 2: Computer Technology and Bolted Joints; Design and Analysis
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