Acta Mechanica最新文献

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An updated model including the deflection history of microcantilever for characterizing cellular viscoelastic properties by AFM indentation-relaxation test 通过原子力显微镜压入-松弛试验表征细胞粘弹性特性的最新模型,包括微悬臂的偏转历程
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-16 DOI: 10.1007/s00707-024-04057-z
Jiawei Ling, Nenghui Zhang, Yixing Shang, Hanlin Liu, Zhengnan Yin
{"title":"An updated model including the deflection history of microcantilever for characterizing cellular viscoelastic properties by AFM indentation-relaxation test","authors":"Jiawei Ling,&nbsp;Nenghui Zhang,&nbsp;Yixing Shang,&nbsp;Hanlin Liu,&nbsp;Zhengnan Yin","doi":"10.1007/s00707-024-04057-z","DOIUrl":"10.1007/s00707-024-04057-z","url":null,"abstract":"<div><p>Factors such as the memory effect of viscoelastic materials and the influence of microcantilever deflection still pose challenges in the mechanical modeling, mathematical solution, and material parameter identification for AFM indentation-relaxation experiments to characterize the viscoelastic properties of cells. This paper aims to provide a rational mechanical model for interpreting the detection signals in AFM indentation-relaxation experiments. Considering the contribution of microcantilever deflection under the Euler beam assumption to the viscoelastic indentation force, the Lee-Radok’s model was updated. Combining a piecewise integration method and a time-domain differential method, we derived the implicit/explicit governing equations of the probe-cell viscoelastic indentation forces under ramp-hold protocol. After building the finite element (FE) model, we examined the effect of microcantilever deflection on the acquired data in FE simulation results and the updated model predictions, and compared our updated model with relevant experiments. Then, we proposed a new two-stage (TS) approach for parameter extraction and compared the differences between this new approach and the classic single-stage (SS) approach, thus the strategy for suppressing parameter extraction error was presented. The results validate that the transient modulus extracting by the classical SS approach is essentially an equivalent transient modulus dependent on the ramp loading history, which incurs a divergence in identification of cellular viscoelastic parameter; whereas the new TS approach is valid at a broader range of loading conditions due to explicitly reflecting the dependence of viscoelastic material parameters on ramp loading history. These conclusions provide a theoretical foundation and reference for the advancement of AFM-based detection techniques for cellular mechanical properties.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6431 - 6449"},"PeriodicalIF":2.3,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analytical solutions for the vibration response of thin-walled beams under bidirectional moving random loads 双向移动随机载荷作用下薄壁梁振动响应的解析解
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-16 DOI: 10.1007/s00707-024-04054-2
Yong Cai, Laifu Zhang, Xiaoyong Lv, Haijun Chen, Xueqi Li
{"title":"Analytical solutions for the vibration response of thin-walled beams under bidirectional moving random loads","authors":"Yong Cai,&nbsp;Laifu Zhang,&nbsp;Xiaoyong Lv,&nbsp;Haijun Chen,&nbsp;Xueqi Li","doi":"10.1007/s00707-024-04054-2","DOIUrl":"10.1007/s00707-024-04054-2","url":null,"abstract":"<div><p>In this study, analytical solutions are presented for the flexural–torsional coupled vibration response analyses of thin-walled beams under bidirectional moving random loads. Based on classical Euler–Bernoulli and Vlasov beam theories, the governing dynamic equations considering the influence of additional torque have been established. The modal superposition method, the Laplace transform, and the Duhamel's integral technique have been employed to obtain the average value and standard deviation of beam displacements in vertical, lateral, and torsional directions. For the validation of the proposed formulations, the results obtained in this paper are compared with the results acquired by the Newmark-<i>β</i> method and the Monte Carlo method. Comparisons of the results prove the accuracy of the suggested formulations. Through the parametric analysis, it is confirmed that the position where the average value reaches its maximum is related to the load velocity. But the maximum standard deviation always occurs at the end of the beam, which decreases with the growth of velocity and the drop in span. When the velocity does not exceed 30 m/s, the displacement response is mainly controlled by low-order modes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 11","pages":"6413 - 6429"},"PeriodicalIF":2.3,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Research on active control of rigid-flexible coupling piezoelectric rectangular thin plate 刚柔耦合压电矩形薄板的主动控制研究
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-15 DOI: 10.1007/s00707-024-04049-z
Haoran Li, Jie Zhang, Mu Fan, Zhongmin Xiao
{"title":"Research on active control of rigid-flexible coupling piezoelectric rectangular thin plate","authors":"Haoran Li,&nbsp;Jie Zhang,&nbsp;Mu Fan,&nbsp;Zhongmin Xiao","doi":"10.1007/s00707-024-04049-z","DOIUrl":"10.1007/s00707-024-04049-z","url":null,"abstract":"<div><p>At present, rigid-flexible coupling systems have been used in various engineering fields extensively, due to task demands, the systems have become complex increasingly, and thus, it is crucial to study the dynamic problems and active control of rigid-flexible coupling systems. Piezoelectric materials with electromechanical coupling phenomenon have great applications in active control of rigid-flexible coupling systems. In the current study, the active control of rigid-flexible coupling rectangular thin plate is investigated based on piezoelectric effect. The dynamic model of rigid-flexible coupling piezoelectric rectangular thin plate is established first using the Hamilton’s principle, and its discrete form is obtained using the superposition method. The dynamic equations of the system are numerically solved using the Newmark-β method. The active control of the rigid-flexible coupling system has been carried out. Case studies show that, for rigid-flexible coupling rectangular thin plate, the rigid motion will drive the vibration of flexible thin plate, and the vibration of the flexible thin plate can cause rigid body motion. The piezoelectric patch can achieve active control of rigid body motion and flexible plate vibration simultaneously. The active control effect is related to the distribution position and thickness of the piezoelectric patch, as well as the excitation voltage. The closer the piezoelectric patch is to the edges of the rectangular thin plate, the better the active control effect on the rigid body motion. The closer the piezoelectric patch is to the center of the rectangular thin plate, the better the active control effect on the flexible plate vibration. Furthermore, the thicker the piezoelectric patch, the greater the excitation voltage, and the better the active control effect. The conclusion of the current work has direct and important engineering applications.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6379 - 6401"},"PeriodicalIF":2.3,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142221694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A comparative study on the effectiveness of a moving versus a fixed passive damper in beam vibration mitigation 移动式与固定式被动阻尼器在减轻梁振动方面的效果对比研究
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-12 DOI: 10.1007/s00707-024-04048-0
Georgios I. Dadoulis, George D. Manolis
{"title":"A comparative study on the effectiveness of a moving versus a fixed passive damper in beam vibration mitigation","authors":"Georgios I. Dadoulis,&nbsp;George D. Manolis","doi":"10.1007/s00707-024-04048-0","DOIUrl":"10.1007/s00707-024-04048-0","url":null,"abstract":"<div><p>This work compares the effect that two categories of passive dampers have on the vibratory motion of a bridge modeled as simply supported uniform beam, namely the fixed versus the moving tuned mass damper (TMD). Assuming that the suspension system of the moving vehicle performs like a TMD, its effect on the vibratory motion at points on the beam is studied by juxtaposing it with the performance of the same system placed at a specific location on the bridge span. In both cases, the vehicle suspension is modeled as a single degree-of freedom (SDOF) system with a mass, a stiffness and a damping element. Specifically, we first examine the eigenproblem of this combined structural system comprising the bridge, the moving mass and the TMD, to compute spectrograms that show the time–frequency evolution of the eigenfrequencies for both fixed and moving TMD cases. Subsequently, we examine vibrations at a point close to center span of the beam and produce energy measures to contrast fixed versus moving TMD effectiveness, which changes over time thus making it impossible to produce a concrete measure.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6403 - 6412"},"PeriodicalIF":2.3,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142227546","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
H-infinity optimal control based on output feedback for nonlinear two-degree-of-freedom vibration isolator with quasi-zero stiffness 基于输出反馈的非线性两自由度准零刚度隔振器 H-infinity 优化控制
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-09 DOI: 10.1007/s00707-024-04042-6
Chunyu Wei
{"title":"H-infinity optimal control based on output feedback for nonlinear two-degree-of-freedom vibration isolator with quasi-zero stiffness","authors":"Chunyu Wei","doi":"10.1007/s00707-024-04042-6","DOIUrl":"10.1007/s00707-024-04042-6","url":null,"abstract":"<div><p>Nonlinear vibration isolators can offer a high static stiffness alongside a low dynamic stiffness and so they have better isolation performance than conventional linear devices. In this paper, the models of the one-degree-of-freedom (DOF) and two-DOF bottom-springs grounded (BG) nonlinear vibration isolators with quasi-zero stiffness (QZS) characteristic are analyzed. In order to further improve the isolation performance of the 2-DOF BG nonlinear QZS vibration isolator, the H-infinity optimal control problem based on output feedback is studied. The nonlinear element of the vibration isolator is linearized by Taylor series expansion and ignoring the higher order term and then the whole nonlinear system is decomposed into linear part and nonlinear part. The output feedback H-infinity optimal controller designed for the linear part is proved to be the H-infinity optimal controller of the original nonlinear system. The controller has constraints, and the constraint equation contains input-related terms. The solution methods recorded in the existing literature are invalid for this situation. Therefore, a new linear matrix inequality for solution is given in this paper. To test the performance of the controller, numerical simulation is studied under the typical harmonic excitation. The results show that the designed controller for the 2-DOF BG nonlinear QZS vibration isolator has a good vibration isolation effect.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6365 - 6378"},"PeriodicalIF":2.3,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141923498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory and its application in 1D transient dynamic responses analysis for copper-metallic layered structure 非局部双相滞后卡塔尼奥型热弹性扩散理论及其在铜金属层状结构一维瞬态动态响应分析中的应用
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-08 DOI: 10.1007/s00707-024-04050-6
Chenlin Li, Jiaheng Liu, Tianhu He
{"title":"Nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory and its application in 1D transient dynamic responses analysis for copper-metallic layered structure","authors":"Chenlin Li,&nbsp;Jiaheng Liu,&nbsp;Tianhu He","doi":"10.1007/s00707-024-04050-6","DOIUrl":"10.1007/s00707-024-04050-6","url":null,"abstract":"<div><p>To accurately predict transient thermoelastic diffusion responses of the metallic solids in nanoscale heating condition, this work aims to establish a nonlocal dual-phase-lag Cattaneo-type thermoelastic diffusion theory by simultaneously consider the nonlocal effects of elastic deformation, heat and mass transport with the aid of Eringen’s nonlocal continuum mechanics. The proposed model is applied to investigate 1D transient dynamic response for copper-metallic layered structure by using eigenvalue approach. The influences of nonlocal characteristic lengths on the structural dynamic responses and wave propagations are evaluated and discussed.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6341 - 6363"},"PeriodicalIF":2.3,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141927905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical study of refill friction stir spot welding of dissimilar metallic materials using smoothed particle hydrodynamics (SPH) 利用平滑粒子流体力学 (SPH) 对异种金属材料的补焊摩擦搅拌点焊进行数值研究
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-08 DOI: 10.1007/s00707-024-04047-1
Khalegh Salami, Reza Abdi Behnagh, Mohsen Agha Mohammad Pour, Roberto Brighenti
{"title":"Numerical study of refill friction stir spot welding of dissimilar metallic materials using smoothed particle hydrodynamics (SPH)","authors":"Khalegh Salami,&nbsp;Reza Abdi Behnagh,&nbsp;Mohsen Agha Mohammad Pour,&nbsp;Roberto Brighenti","doi":"10.1007/s00707-024-04047-1","DOIUrl":"10.1007/s00707-024-04047-1","url":null,"abstract":"<div><p>Refill friction stir spot welding (RFSSW) has found several industrial applications, especially in the transportation and automotive sectors. However, modeling the RFSSW process has been tackled mainly with empirical approaches. At the same time, the key physical phenomena involved have been explained and predicted by a few numerical studies in the literature. This study uses a fully Lagrangian method, smoothed particle hydrodynamics (SPH), for the simulation of RFSSW. The Lagrangian particle method simulates materials undergoing large deformation, interface dynamic changes, void formations, material temperature, and strain evolution without using complex tracking schemes often required by traditional grid-based methods. As a relevant example, magnesium-to-steel welding simulation is presented by accounting for all the main thermo-mechanical phenomena involved. Temperature, stress, and strain field histories as well as material flow taking place during the process, are determined as characteristic aspects for qualification of RFSSW; the proposed computational approach is validated by comparing the predicted and experimentally measured welding temperature. The results obtained demonstrate that SPH is a reliable tool for welding design and process optimization and provides the information related to the involved physics needed to precisely evaluate the quality, the mechanical characteristics, and the material flow of the joined region.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6321 - 6339"},"PeriodicalIF":2.3,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141929238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Thermal investigation of a moving longitudinal porous fin immersed in trihybrid nanofluid and exposed to a magnetic field: an adomian decomposition sumudu transform method approach 浸入三混合纳米流体并暴露于磁场中的移动纵向多孔鳍片的热学研究:一种阿多米分解苏木杜变换方法
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-07 DOI: 10.1007/s00707-024-04043-5
P. L. Pavan Kumar, B. J. Gireesha, P. Venkatesh, C. G. Pavithra
{"title":"Thermal investigation of a moving longitudinal porous fin immersed in trihybrid nanofluid and exposed to a magnetic field: an adomian decomposition sumudu transform method approach","authors":"P. L. Pavan Kumar,&nbsp;B. J. Gireesha,&nbsp;P. Venkatesh,&nbsp;C. G. Pavithra","doi":"10.1007/s00707-024-04043-5","DOIUrl":"10.1007/s00707-024-04043-5","url":null,"abstract":"<div><p>The present research investigates the convective and radiative heat transfer characteristics of a moving longitudinal porous fin. The study incorporates the influence of a magnetic field as a driving force for enhancing heat transfer in the system. To optimize heat transfer efficiency, a novel ternary hybrid nanofluid consisting of Ag, MgO and Au nanoparticles dispersed in water is utilized. The analysis employs the Adomian decomposition sumudo transfer method (ADSTM) as the semi-analytical approach, complemented by the numerical method of Runge–Kutta Fehlberg 4–5th (RKF-45) order for comparative analysis. Moreover, the application of fractional order ADSTM is explored to address non-dimensionalized ordinary differential equations (ODEs), and the findings are visually represented through graphical plots, showcasing the impact of various parameters on heat transfer performance and the superiority of the proposed ADSTM technique. The results show that trihybrid nanofluid outperforms both single-component and binary hybrid nanofluids in terms of temperature distribution and thermal efficiency. Importantly, the use of trihybrid nanofluid leads to a significant enhancement in the fin performance. The current findings indicate that a 400% increase in the Peclet number (Pe) leads to a 1.67% rise in the temperature from the base to the tip. Additionally, increasing the Hartmann number (<span>(H)</span>) by 400% results in a 16.34% decrease in the temperature from the base to the tip. This study holds significance for various engineering applications, enabling more efficient heat transfer in porous fin systems with potential for future advancements in the field.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6263 - 6285"},"PeriodicalIF":2.3,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Motion of general nonholonomic systems from the d’Alembert principle via an algebraic method 通过代数方法从达朗贝尔原理看一般非全局系统的运动
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-07 DOI: 10.1007/s00707-024-04051-5
Federico Talamucci
{"title":"Motion of general nonholonomic systems from the d’Alembert principle via an algebraic method","authors":"Federico Talamucci","doi":"10.1007/s00707-024-04051-5","DOIUrl":"10.1007/s00707-024-04051-5","url":null,"abstract":"<div><p>The aim of this study is to present an alternative way to deduce the equations of motion of general (i. e. also nonlinear) nonholonomic constrained systems starting from the d’Alembert principle and proceeding by an algebraic procedure. The two classical approaches in nonholonomic mechanics – <span>({check{textrm{C}}})</span>etaev method and vakonomic method – are treated on equal terms, avoiding integrations or other steps outside algebraic operations. In the second part of the work, we compare our results with the standard forms of the equations of motion associated with the two method and we discuss the role of the transpositional relation and of the commutation rule within the question of equivalence and compatibility of the <span>({check{textrm{C}}})</span>etaev and vakonomic methods for general nonholonomic systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 10","pages":"6305 - 6319"},"PeriodicalIF":2.3,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-024-04051-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Solution to boundary value problems on linear elastic confocal elliptic domain based on collocation technique 更正:基于配位技术的线性弹性共焦椭圆域边界值问题解决方案
IF 2.3 3区 工程技术
Acta Mechanica Pub Date : 2024-08-07 DOI: 10.1007/s00707-024-04024-8
Aditya G. Konale, Tanmay K. Bhandakkar
{"title":"Correction to: Solution to boundary value problems on linear elastic confocal elliptic domain based on collocation technique","authors":"Aditya G. Konale,&nbsp;Tanmay K. Bhandakkar","doi":"10.1007/s00707-024-04024-8","DOIUrl":"10.1007/s00707-024-04024-8","url":null,"abstract":"","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7881 - 7881"},"PeriodicalIF":2.3,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142736997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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