Bulletin of the New Zealand Society for Earthquake Engineering最新文献

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Infrastructure planning emergency levels of service for the Wellington region, Aotearoa New Zealand – An operationalised framework 新西兰奥特亚罗瓦惠灵顿地区基础设施规划应急服务水平--一个可操作的框架
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-12-09 DOI: 10.5459/bnzsee.1628
R. Mowll, Julia Becker, L. Wotherspoon, C. Stewart, D. Johnston, Daniel Neely
{"title":"Infrastructure planning emergency levels of service for the Wellington region, Aotearoa New Zealand – An operationalised framework","authors":"R. Mowll, Julia Becker, L. Wotherspoon, C. Stewart, D. Johnston, Daniel Neely","doi":"10.5459/bnzsee.1628","DOIUrl":"https://doi.org/10.5459/bnzsee.1628","url":null,"abstract":"‘Planning Emergency Levels of Service’ (PELOS) are goals for the delivery of infrastructure services following a major hazard event, such as an earthquake or flood. This paper presents an operationalised PELOS framework for the Wellington region based on interviews with emergency and critical infrastructure managers and discusses important changes from the preliminary to the operationalised framework. A shared understanding of these PELOS will help Wellington region infrastructure providers, emergency management professionals and the potentially impacted communities plan for major events. PELOS for the energy, telecommunications, transport, and water sectors have been developed, and high-level interdependencies considered. The PELOS framework can be updated for other regions, by the critical infrastructure entities and emergency managers, using locally relevant hazard scenarios. In turn, this approach can inform the end-users (communities) of the goals of the critical infrastructure providers following a major hazard event.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":"243 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138983229","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Seismic fragility of reinforced concrete buildings with hollow-core flooring systems 采用空心楼板系统的钢筋混凝土建筑的抗震脆性
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-12-09 DOI: 10.5459/bnzsee.1634
Tom Francis, Eyitayo A. Opabola, Timothy Sullivan, Kenneth Elwood, Cameron Belliss
{"title":"Seismic fragility of reinforced concrete buildings with hollow-core flooring systems","authors":"Tom Francis, Eyitayo A. Opabola, Timothy Sullivan, Kenneth Elwood, Cameron Belliss","doi":"10.5459/bnzsee.1634","DOIUrl":"https://doi.org/10.5459/bnzsee.1634","url":null,"abstract":"Hollow-core flooring systems were damaged in Wellington buildings during the 2016 Kaikoura earthquake (7.8 Mw) and have been shown to be susceptible to undesirable failure mechanisms (loss of seating, negative moment, and positive moment failure modes) at low drift demands. These undesirable damage mechanisms have also been observed in sub-assembly and super-assembly laboratory testing of hollow-core flooring systems and the test data obtained has enhanced the state-of-the-art knowledge of the probable seismic behaviour of hollow-core floor units. In this study, using currently available sub-assembly test data, fragility functions are defined for hollow-core flooring systems. Furthermore, the proposed fragility functions are combined with fragility information derived from nonlinear dynamic analyses for two eight-storey bare-frame reinforced concrete (RC) buildings designed based on New Zealand standards. This study shows that, in comparison with RC buildings with flooring systems that are not susceptible to gravity load failures, RC buildings with vulnerable hollow-core floors have a significantly higher likelihood of exceeding the collapse prevention limit state, as defined in this study.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":"350 2","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138983240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Evaluation of the Inter-frequency Correlation of New Zealand CyberShake Crustal Earthquake Simulations 新西兰 CyberShake 地壳地震模拟的频率间相关性评估
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-12-09 DOI: 10.5459/bnzsee.1623
J. Bayless, Scott Condon
{"title":"Evaluation of the Inter-frequency Correlation of New Zealand CyberShake Crustal Earthquake Simulations","authors":"J. Bayless, Scott Condon","doi":"10.5459/bnzsee.1623","DOIUrl":"https://doi.org/10.5459/bnzsee.1623","url":null,"abstract":"The inter-frequency correlation of ground-motion residuals is related to the width of peaks and troughs in the ground-motion spectra (either response spectra or Fourier amplitude spectra; FAS) and is therefore an essential component of ground-motion simulations for representing the variability of structural response. As such, this component of the simulations requires evaluation and validation when the intended application is seismic fragility and seismic risk. This article evaluates the CyberShake NZ [1] crustal earthquake ground-motion simulations for their inter-frequency correlation, including comparisons with an empirical model developed from a global catalogue of shallow crustal earthquakes in active tectonic regions, and with results from similar simulations (SCEC CyberShake; [2]). Compared with the empirical model, the CyberShake NZ simulations have a satisfactory level of total inter-frequency correlation between the frequencies 0.1 – 0.25 Hz. At frequencies above 0.25 Hz, the simulations have lower (statistically significant at 95% confidence level) total inter-frequency correlation than the empirical model and therefore require calibration. To calibrate the total correlation, it is useful to focus on the correlation of the residual components. The between-event residual correlations, physically related to source effects (e.g., stress drop) which drive ground motions over a broad frequency range, are low at frequencies greater than about 0.25 Hz. Modifications to the cross-correlation between source parameters in the kinematic rupture generator can improve the inter-frequency correlations in this range [3]. The between-site residual correlations, which represents the correlation between frequencies of the systematic site amplification deviations, are larger (statistically significant at 95% confidence level) than the empirical model for frequencies less than about 0.5 Hz. We postulate that this relates to the relative simplicity of site amplification methods in the simulations, which feature less variability than the amplification observed in the data. Additional insight would be gained from future evaluations accounting for repeatable path and basin effects, using simulations with refined or alternative seismic velocity models, and using simulations with a higher crossover frequency to deterministic methods (e.g., 1 Hz or higher).","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":"249 ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139010781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Earthquake design loads for retaining walls 挡土墙的地震设计荷载
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-12-09 DOI: 10.5459/bnzsee.1618
John Wood
{"title":"Earthquake design loads for retaining walls","authors":"John Wood","doi":"10.5459/bnzsee.1618","DOIUrl":"https://doi.org/10.5459/bnzsee.1618","url":null,"abstract":"Free-standing retaining walls are usually designed for earthquake loads assuming cohesionless backfill soil and using the Mononobe-Okabe method. This simple design approach has led to satisfactory performance and is supported by laboratory testing and analytical studies. For major wall structures there are a number of refinements to the method that should be considered. In the paper methods of assessing the influence on the earthquake loads of the flexibility of the wall, soil cohesion and ground water in the backfill are presented.  Equations for predicting failure plane angles to allow a better assessment of the soil properties within the failure wedge are included. Procedures for estimating the outward displacement and the influence of passive resistance and wall geometry on the sliding resistance are discussed. Design charts are presented which allow the magnitude of these refinements to be rapidly assessed.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":"1 11","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138585755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The state of practice in soil-structure interaction modelling in New Zealand 新西兰土壤-结构相互作用模型的实践现状
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-09-01 DOI: 10.5459/bnzsee.1609
T. Hnat, Christopher McGann, L. Wotherspoon
{"title":"The state of practice in soil-structure interaction modelling in New Zealand","authors":"T. Hnat, Christopher McGann, L. Wotherspoon","doi":"10.5459/bnzsee.1609","DOIUrl":"https://doi.org/10.5459/bnzsee.1609","url":null,"abstract":"The current state of practice in soil-structure interaction (SSI) modelling in New Zealand was investigated through an industry-wide questionnaire. This used a mixed methods, sequential explanatory research design involving the collection of quantitative and qualitative questionnaire data, as well as follow-up focus groups. Several statistically significant relationships were observed for SSI modelling approaches between different engineering fields, company sizes, and years of experience.\u0000The key findings from this study suggest that there is no consensus on the best SSI analysis methods, modelling strategies, or guidelines to be used. Overall, fixed base analysis remains the most popular method across all company sizes and number of years of industry experience. Engineers from large companies reported higher consideration for SSI modelling and use of performance-based design for design projects, which perhaps reflects the scale and complexity of projects carried out in those companies. However when SSI is considered, analyses are typically limited to nonlinear vertical springs under the foundation as part of a dynamic analysis. Use of SSI for buildings is typically limited to seismic assessments and complex or otherwise high importance structures. However, bridge engineers routinely used pushover analyses with linear and nonlinear springs and dynamic analyses with nonlinear springs, in contrast with the rest of the industry.\u0000There is further room to improve on the quality of communication and interaction between structural and geotechnical engineers. A lack of specific guidance on when SSI should be considered was reported, alongside broader training issues to ensure that structural and geotechnical engineers fundamentally understand the requirements and input/output needs of each role.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49427012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simplified seismic loss assessment using limit state loss-intensity models 用极限状态损失强度模型简化地震损失评估
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-09-01 DOI: 10.5459/bnzsee.1579
A. Orumiyehei, Timothy J. Sullivan
{"title":"Simplified seismic loss assessment using limit state loss-intensity models","authors":"A. Orumiyehei, Timothy J. Sullivan","doi":"10.5459/bnzsee.1579","DOIUrl":"https://doi.org/10.5459/bnzsee.1579","url":null,"abstract":"In an effort to provide practicing engineers with simple means of limiting earthquake-induced losses to buildings, this paper extends a simplified damage-state loss vs. intensity approach for estimation of expected annual losses in two ways. Firstly, modifications to allow consideration of a threshold replacement limit state are provided. Secondly, an equation for simplified loss assessment of buildings characterised with a three-damage state loss-intensity model is presented. Furthermore, recommendations are provided for the simplified models associated parameters’ values.  The proposed approach is trialled for three New Zealand code compliant eccentrically braced frame buildings, and the results compared against those obtained through the PEER framework. It is found that the expected annual loss can be predicted to within 10% of the values obtained via rigorous approaches and opportunities for further research are discussed.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43557270","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Seismic protection of artefacts with adhesives and base-isolation 用粘合剂和底座隔震对人工制品的抗震保护
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-09-01 DOI: 10.5459/bnzsee.1613
Claire Dong, Giovanni De Francesco, Timothy Sullivan, Rajesh Dhakal, Terri Elder, Emily Fryer, Neeha Velagapudi
{"title":"Seismic protection of artefacts with adhesives and base-isolation","authors":"Claire Dong, Giovanni De Francesco, Timothy Sullivan, Rajesh Dhakal, Terri Elder, Emily Fryer, Neeha Velagapudi","doi":"10.5459/bnzsee.1613","DOIUrl":"https://doi.org/10.5459/bnzsee.1613","url":null,"abstract":"Artefacts in museums, galleries, and private collections have great cultural value. In regions with high seismicity, earthquake shaking can pose significant risk of irreversible damage to such pieces. Various seismic protection methods have been proposed in the past for different types of artefacts. This study investigates one of the commonly used methods in New Zealand which consists in applying adhesives to anchor relatively small artefacts. Guidance is provided to determine the size and number of adhesives required for an artefact to survive design-level earthquake shaking. In addition, for large objects where adhesives alone are insufficient, a simple cost-effective base-isolation platform is proposed to reduce the seismic vulnerability of the artefacts. This platform is designed such that it can be assembled and positioned by museum conservators or private collectors. The adhesive material properties are determined through direct tension and shear experimental tests. The friction properties of the base-isolated substrate are determined through unidirectional quasi-static and cyclic load tests. Performance of the proposed methodology is gauged by subjecting the artefacts to shake table testing using a recorded earthquake motion. Results suggest that the recommended seismic protection solution performs as expected.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42575300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical modelling approaches for predicting the seismic response of monopole-supported dissipative controlled rocking bridge piers 单极支撑耗散控制摇桥桥墩地震响应预测的数值模拟方法
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-09-01 DOI: 10.5459/bnzsee.1591
S. Piras, Alessandro Palermo, G. Chiaro
{"title":"Numerical modelling approaches for predicting the seismic response of monopole-supported dissipative controlled rocking bridge piers","authors":"S. Piras, Alessandro Palermo, G. Chiaro","doi":"10.5459/bnzsee.1591","DOIUrl":"https://doi.org/10.5459/bnzsee.1591","url":null,"abstract":"In this paper, rotational spring and multi-spring models are implemented in SAP2000® software, and numerical solutions are presented for monotonic and cyclic behaviour of a dissipative controlled rocking (DCR) bridge column supported on a monopile foundation that is embedded in sand. The pile-soil system is modelled with elastic frame elements connected to vertically-spaced bi-linear soil springs. Three soil conditions (i.e. loose, medium-dense and dense sand) are considered to account for soil-structure interaction effects. The results from an experimental programme, carried out by the authors at the University of Canterbury, are used to validate the numerical solutions. The numerical simulation results for the three sand conditions are in good agreement with the experimental ones. From a computational standpoint, the relatively simple mathematical formulation and easy implementation would make the rotational spring model more desirable than the complex multi-spring model. On the other hand, the multi-spring model is more versatile and capable of describing the cyclic response of the DCR pier, such as the post-tensioning force, axial stress in the steel dissipaters and gap-opening interface rocking characteristics.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48995683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Seismic activity analysis of five major earthquake source segments in the Sumatra megathrust zone 苏门答腊大逆冲带五大震源段地震活动性分析
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-06-01 DOI: 10.5459/bnzsee.1555
J. Rizal, Agus Yodi Gunawan, Sapto W. Indratno, I. Meilano
{"title":"Seismic activity analysis of five major earthquake source segments in the Sumatra megathrust zone","authors":"J. Rizal, Agus Yodi Gunawan, Sapto W. Indratno, I. Meilano","doi":"10.5459/bnzsee.1555","DOIUrl":"https://doi.org/10.5459/bnzsee.1555","url":null,"abstract":"The Sumatra megathrust zone has five major earthquake sources, namely the Aceh-Andaman, Nias-Simeulue, Mentawai-Siberut, Mentawai-Pagai, and Enggano segments. This paper provides seismic activity analysis in these five segments via an unobserved process study of tectonic plate movements, which is conducted in two cases: each of the five segments independently (Case 1), and a pair of two adjacent segments (Case 2). To do this, two specific types of Hidden Markov Models (HMMs), i.e., Poisson-HMMs and Copula-HMMs, dealing with unobserved process issues, are applied. In practice, the data used is the annual frequency of mainshock earthquakes with a magnitude of >4.6 that occurred from 1971 to 2018. This data is obtained by working out the declustering process and estimating the magnitude of completeness from a particular earthquake catalogue. Due to the incompleteness of the data sets, the parameters of the two HMMs are estimated using the Expectation-Maximization algorithm. Results show that for Case 1, the model that fits the data for each of the five segments is the 3-state Poisson-HMM. The three states, in this instance, stand for the rates of seismic activity that correspond to the dynamic level of tectonic plate movements. Furthermore, in Case 2, the selected model for the Aceh-Andaman with Nias-Simeulue is the 2-state Gumbel Copula-HMM. Meanwhile, for the three groups remaining, namely Nias-Simeulue with Mentawai-Siberut, Mentawai-Siberut with Mentawai-Pagai, and Mentawai-Pagai with Enggano, the appropriate models are Gaussian, Gumbel, and Frank Copulas, respectively. In this case, the number of states represents the seismic activity association of two adjacent segments that corresponds to the association level of two adjacent tectonic plate dynamics.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46311122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Assessment of the torsional behaviour of hollow core slabs 空心芯板扭转性能的评定
IF 1.7
Bulletin of the New Zealand Society for Earthquake Engineering Pub Date : 2023-06-01 DOI: 10.5459/bnzsee.1572
Ana Isabel Sarkis Fernandez, T. Sullivan, E. Brunesi, R. Nascimbene
{"title":"Assessment of the torsional behaviour of hollow core slabs","authors":"Ana Isabel Sarkis Fernandez, T. Sullivan, E. Brunesi, R. Nascimbene","doi":"10.5459/bnzsee.1572","DOIUrl":"https://doi.org/10.5459/bnzsee.1572","url":null,"abstract":"There are many applications in buildings in which precast pre-stressed hollow-core (HC) slabs are subjected to shear, torsion, or combined shear and torsion. Nonetheless, extruded HC units contain no transverse reinforcement, being inherently vulnerable to brittle failure modes due to shear and torsional actions. In previous work by the authors, a finite element (FE) modelling approach for HC units failing in shear was developed and validated against experimental test data. This paper aims to extend the applicability of the proposed FE approach to help improve the understanding of the torsional behavior of HC units. For this purpose, the developed model is further validated against experimental data available in the literature and then used to predict the torsional capacity of New Zealand-specific 200 mm deep HC units. Results suggest that the FE model is capable of predicting the capacity of HC slabs with and without eccentricity of the applied vertical load. Finally, the numerical results are used to evaluate the performance of available simplified analysis approaches for assessing the torsional capacity of HC units, which are found to be non-conservative if used with expected material properties.","PeriodicalId":46396,"journal":{"name":"Bulletin of the New Zealand Society for Earthquake Engineering","volume":" ","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47392361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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