Mechanism and Machine Theory最新文献

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Construction method for circular arc elements in rational absolute nodal coordinate formulation 有理绝对节点坐标法中圆弧元素的构造方法
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-15 DOI: 10.1016/j.mechmachtheory.2024.105811
Wenshuai Zhang , Manlan Liu , Manyu Shi , Peng Lan
{"title":"Construction method for circular arc elements in rational absolute nodal coordinate formulation","authors":"Wenshuai Zhang ,&nbsp;Manlan Liu ,&nbsp;Manyu Shi ,&nbsp;Peng Lan","doi":"10.1016/j.mechmachtheory.2024.105811","DOIUrl":"10.1016/j.mechmachtheory.2024.105811","url":null,"abstract":"<div><div>The Rational Absolute Nodal Coordinate Formulation (RANCF) element nodal coordinates and weights can be obtained through a rational Bézier description, which is relatively cumbersome for engineering applications. In this paper, a method for directly defining RANCF elements is proposed for circular arc geometric configurations. In this method the nodal coordinates and weights can be expressed directly by the position coordinates of geometric configurations. By utilizing position coordinates in defining RANCF elements for a geometric configuration, it becomes easier to adjust continuity conditions between elements and apply constraint equations during the preprocessing phase before simulation initiation. As a result, there is no longer a need to use knot multiplicity in NURBS representation to adjust continuity conditions. To address the arbitrary and diverse definitions of RANCF elements, a parameterization method for RANCF elements is proposed, along with an assessment criterion and an optimal parameterization method for RANCF circular arc elements. Numerical examples are presented to compare the performance of various parametric RANCF circular arc elements. The results demonstrate that convergence can be achieved by using fewer optimal parametric elements.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105811"},"PeriodicalIF":4.5,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 new formulation for the dynamics of rigid bodies with unilateral interactions 具有单边相互作用的刚体动力学新公式
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-15 DOI: 10.1016/j.mechmachtheory.2024.105809
David M. Solanillas Francés, József Kövecses
{"title":"A new formulation for the dynamics of rigid bodies with unilateral interactions","authors":"David M. Solanillas Francés,&nbsp;József Kövecses","doi":"10.1016/j.mechmachtheory.2024.105809","DOIUrl":"10.1016/j.mechmachtheory.2024.105809","url":null,"abstract":"<div><div>A new approach is introduced for modelling multibody systems with unilateral interactions. We focus on the simulation of the forward dynamics problem. The dynamic and kinematic steps are solved with two different formulations. First, a four-point-mass model is used to represent the rigid body dynamics, avoiding the use of rotational coordinates. Therefore, the nonlinear inertial terms do not appear explicitly in the formulation. However, there are constant distance constraints between the point masses. The velocities of the point masses are obtained by solving the dynamics with this model. The angular velocity of the rigid body can be calculated from such velocities. Then, the kinematic problem is solved using the rigid body representation that fully embeds the constant distance constraints. Thus, the proposed approach can improve the accuracy of the dynamic problem with unilateral contact since the nonlinear inertial terms do not enter the formulation explicitly. The constraints appear explicitly in the dynamics representation, but they are linear there. In the position update, they are embedded exactly through the model change back to the angular velocity-based minimum coordinate formulation.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105809"},"PeriodicalIF":4.5,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142441351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Analysis of the tooth-root stress of external spur gears with high effective contact ratio 高有效接触比外直齿轮齿根应力分析
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-14 DOI: 10.1016/j.mechmachtheory.2024.105813
José I. Pedrero , Miryam B. Sánchez , Miguel Pleguezuelos , Alfonso Fuentes-Aznar
{"title":"Analysis of the tooth-root stress of external spur gears with high effective contact ratio","authors":"José I. Pedrero ,&nbsp;Miryam B. Sánchez ,&nbsp;Miguel Pleguezuelos ,&nbsp;Alfonso Fuentes-Aznar","doi":"10.1016/j.mechmachtheory.2024.105813","DOIUrl":"10.1016/j.mechmachtheory.2024.105813","url":null,"abstract":"<div><div>For spur gears with contact ratio close to 2, the extension of the contact interval resulting from loaded tooth deflections and local contact deformations may result in an effective contact ratio above 2. In these cases, the load is transmitted by at least two tooth-pairs, the maximum load and tooth-root stress decrease, and therefore the calculation methods of the gear rating Standards ISO and AGMA provide very conservative results. In this work, two models are applied to the calculation of the tooth-root stress of load-induced high contact ratio external gears: (i) an analytic model of load sharing, based on the minimum energy method, and (ii) a finite element model, which validates the results obtained from the previous model. Obtained values of the stress are compared with those provided by ISO and AGMA rating methods, which do not account for the stress reduction due to the higher contact ratio. A new modification coefficient is proposed to correct these conservative values, which allows the AGMA and ISO geometry factors to remain as no load-dependent factors and keep their actual calculation methods and significance.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105813"},"PeriodicalIF":4.5,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142432041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Design and analytical modeling of a double-joint flexible surgical instrument with hand-held isomorphic actuation 手持式同构驱动双关节柔性手术器械的设计与分析建模
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-07 DOI: 10.1016/j.mechmachtheory.2024.105804
Chenglong Wang, Yixuan Zhou, Xuefeng Wang
{"title":"Design and analytical modeling of a double-joint flexible surgical instrument with hand-held isomorphic actuation","authors":"Chenglong Wang,&nbsp;Yixuan Zhou,&nbsp;Xuefeng Wang","doi":"10.1016/j.mechmachtheory.2024.105804","DOIUrl":"10.1016/j.mechmachtheory.2024.105804","url":null,"abstract":"<div><div>In catheter reduction surgeries, surgical instruments with multi-joint end effectors are employed to improve surgery qualities, where implementations of miniaturization design and isomorphic actuation are challenging. In this work, a miniaturized double-joint end effector is designed using a novel multi-backbone mechanism. The backbones are made of spiral-notched tubes that have good axial stiffness and large bending flexibility, and a co-placed backbone arrangement is used to avoid double-joint actuation coupling. A double-joint handle is developed to implement isomorphic actuation of the end effector, where local reinforcement design of the handle is proposed to reduce torsional disturbances on the end effector. A recursive kinematic model of the multi-backbone mechanism is firstly established by relating friction with bending angles in a beam model of the backbones, and forward kinematics from the handle to the end effector is developed. Performance tests show that the double-joint end effector has good actuation decoupling characteristics. Parameter identification is conducted and model accuracy is validated. Phantom model experiments show that the end effector can reach the target position with the double-joint configuration.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105804"},"PeriodicalIF":4.5,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142424019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 general method to synthesize planar overconstrained mechanism 合成平面超约束机制的一般方法
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-05 DOI: 10.1016/j.mechmachtheory.2024.105801
Cody Leeheng Chan
{"title":"A general method to synthesize planar overconstrained mechanism","authors":"Cody Leeheng Chan","doi":"10.1016/j.mechmachtheory.2024.105801","DOIUrl":"10.1016/j.mechmachtheory.2024.105801","url":null,"abstract":"<div><div>Traditionally, planar overconstrained mechanisms has been explained through special geometry, which often lacks clarity and specificity. This paper addresses this challenge by introducing two explicit criteria for analyzing and synthesizing planar overconstrained mechanisms. With the criteria, one may synthesize new planar overconstrained systematically and confidently. To create new planar overconstrained mechanisms, three approaches are employed: the parallelogram-aided approach, the stretch-rotation approach, and an optimization-based method. Given that the mobility of mechanisms is independent of the choice of the ground link and that the mathematical treatment of function generation is straightforward, this paper proposes a systematic approach for synthesizing novel function cognates. By combining these approaches, new types of overconstrained mechanisms are discovered. Leveraging advanced computational tools, a special geometric condition for function cognates of inverted slider cranks is found for the first time. Through inversion, the coupler cognates for slider cranks are also identified. The success of these results indicates that the proposed criteria are explicit and crucial for discovering new mechanisms, and the concept may be extended to spherical or spatial cases.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105801"},"PeriodicalIF":4.5,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142424017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Simulation and validation of the transmission error, meshing stiffness, and load sharing of planetary spur gear transmissions 行星直齿轮传动装置的传动误差、啮合刚度和负载分担的模拟与验证
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-05 DOI: 10.1016/j.mechmachtheory.2024.105800
José I. Pedrero , Javier Sánchez-Espiga , Miryam B. Sánchez , Miguel Pleguezuelos , Alfonso Fernández-del-Rincón , Fernando Viadero
{"title":"Simulation and validation of the transmission error, meshing stiffness, and load sharing of planetary spur gear transmissions","authors":"José I. Pedrero ,&nbsp;Javier Sánchez-Espiga ,&nbsp;Miryam B. Sánchez ,&nbsp;Miguel Pleguezuelos ,&nbsp;Alfonso Fernández-del-Rincón ,&nbsp;Fernando Viadero","doi":"10.1016/j.mechmachtheory.2024.105800","DOIUrl":"10.1016/j.mechmachtheory.2024.105800","url":null,"abstract":"<div><div>Although the load sharing between planets of sequentially phased planetary gear transmissions has been studied in the past, the required solving techniques based on the Finite Element Method result in long time consuming and high computational cost. This limits the possibilities of undertaking extensive studies that take into consideration a high number of cases allowing optimal solutions to be sought or general conclusions drawn. In addition, the determination of the curves of transmission error, time-varying mesh stiffness, and load sharing among tooth pairs in simultaneous contact are also complicated. In this work an analytical model has been developed for the simulation of the time-varying mesh stiffness, quasi-static transmission error, and load sharing ratio between planets and tooth pairs of planetary spur gear transmissions. It is based on similar models for external and internal spur gears previously developed and has been validated by comparison with a hybrid model based on the Finite Element Method and theoretic-experimental correlation.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105800"},"PeriodicalIF":4.5,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142424016","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Kineto-static analysis of a hybrid manipulator consisting of rigid and flexible limbs with locking function for planar shape morphing 对由具有锁定功能的刚性和柔性肢体组成的混合机械手进行运动静态分析,以实现平面形状变形
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-05 DOI: 10.1016/j.mechmachtheory.2024.105802
Yinjun Zhao , Fengfeng Xi , Guangbo Hao , Yingzhong Tian , Long Li , Jieyu Wang
{"title":"Kineto-static analysis of a hybrid manipulator consisting of rigid and flexible limbs with locking function for planar shape morphing","authors":"Yinjun Zhao ,&nbsp;Fengfeng Xi ,&nbsp;Guangbo Hao ,&nbsp;Yingzhong Tian ,&nbsp;Long Li ,&nbsp;Jieyu Wang","doi":"10.1016/j.mechmachtheory.2024.105802","DOIUrl":"10.1016/j.mechmachtheory.2024.105802","url":null,"abstract":"<div><div>The incorporation of lockable passive backbones into active compliant morphing systems efficiently results in lightweight, high-load, and large deformation systems. However, there exist challenges in kineto-static analysis due to the interaction between rigid reconfigurable kinematic constraints and the nonlinear deformation of actuated flexible limbs. This paper addresses these issues by developing a kineto-static method to analyze the motion in a novel planar 3-DOF shape-morphing manipulator. The manipulator features two actuated flexible limbs with a lockable variable geometry truss (LVGT). In this study, two isostatic topologies are selected for reconfigurable motion control under external tip loads. A multi-step sequential control strategy is proposed to maneuver the manipulator's platform for desired poses. Then, a constrained-trajectory-based kinematic model is proposed for an inverse kinematic solution considering motion planning. Subsequently, a kineto-static model is introduced, considering constraints from rigid and flexible limbs, aiming to distribute distributing redundant actuation forces. Finally, nonlinear finite element analysis (FEA) and experiments are carried out to validate the effectiveness of the proposed method.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105802"},"PeriodicalIF":4.5,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142424018","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Non-inertial dynamic modeling and gear mesh characteristic analysis of planetary gear train system 行星齿轮传动系统的非惯性动态建模和齿轮啮合特性分析
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-10-01 DOI: 10.1016/j.mechmachtheory.2024.105794
Jianjun Tan , Hao Li , Shuyi Yang , Caichao Zhu , Wenjun Fei , Zhangdong Sun
{"title":"Non-inertial dynamic modeling and gear mesh characteristic analysis of planetary gear train system","authors":"Jianjun Tan ,&nbsp;Hao Li ,&nbsp;Shuyi Yang ,&nbsp;Caichao Zhu ,&nbsp;Wenjun Fei ,&nbsp;Zhangdong Sun","doi":"10.1016/j.mechmachtheory.2024.105794","DOIUrl":"10.1016/j.mechmachtheory.2024.105794","url":null,"abstract":"<div><div>Floating offshore wind turbines experience periodical platform motions due to waves and currents, which intensify vibrations in wind turbine gearboxes. In these gearboxes, the gear mesh characteristics of the planetary gear train system (PGTS) are vulnerable to vibrations caused by platform motions. However, many PGTS models lack attention to gear mesh characteristics affected by platform motions. This study introduces a novel instantaneous multi-teeth contact model that integrates a loaded tooth contact analysis model with dynamic displacements. A rigid-flexible coupling dynamic model of PGTS that accounts for platform motions is established, and then an efficient iterative solution scheme is developed. The model is validated using the Finite Element Method, and gear mesh characteristics of PGTS are thoroughly analyzed. Simulation results show that resonance exacerbates dynamic gear meshing force and stiffness fluctuations, leading to significant deviations from static values. Platform motions disturb contact force distribution, increase peak forces and fluctuations, and pose a risk of tooth disengagement. The axial vibration frequencies and amplitudes of the ring gear tooth correlate with base motions, suggesting potential applications in gear mesh state monitoring.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105794"},"PeriodicalIF":4.5,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142424015","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Exact constraint design of bridge-type displacement flexure amplifier 桥式位移挠性放大器的精确约束设计
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-09-25 DOI: 10.1016/j.mechmachtheory.2024.105799
Guimin Chen, Haoyu Zhang, Ruiyu Bai, Bo Li
{"title":"Exact constraint design of bridge-type displacement flexure amplifier","authors":"Guimin Chen,&nbsp;Haoyu Zhang,&nbsp;Ruiyu Bai,&nbsp;Bo Li","doi":"10.1016/j.mechmachtheory.2024.105799","DOIUrl":"10.1016/j.mechmachtheory.2024.105799","url":null,"abstract":"<div><div>Bridge-type amplifiers are commonly used to increase the effective actuation stroke of piezoelectric stack actuators owing to their compact size. However, the traditional bridge-type amplifier has an unconstrained degree-of-freedom, which yields large parasitic motions when subject to offset loads and induces dynamic performance losses related to underconstrained resonance. This work presents an exact constraint design (ECD) of bridge-type amplifier, in which a semi-bridge is introduced for both the lower bridge and the upper bridge on the basis of the traditional bridge-type amplifier. A holistic theoretical model is established for the whole bridge-type amplifier without reducing it to a half or even a quarter by taking advantage of structural symmetry. The model is generalized so that it can be used for modeling the traditional, the compound and the ECD amplifiers. Based on the model, three different bridge-type amplifiers considering manufacturing errors are modeled and compared, and the results show that the ECD amplifier is more precise in achieving desired motion and more robust against manufacturing imperfections. All the results are verified by those of the finite element models.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105799"},"PeriodicalIF":4.5,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142318773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Application of instantaneous invariants to Cardan positions for two parameters complex plane motion 将瞬时不变式应用于双参数复平面运动的卡丹位置
IF 4.5 1区 工程技术
Mechanism and Machine Theory Pub Date : 2024-09-23 DOI: 10.1016/j.mechmachtheory.2024.105798
Soley Ersoy , Kemal Eren , Ettore Pennestri
{"title":"Application of instantaneous invariants to Cardan positions for two parameters complex plane motion","authors":"Soley Ersoy ,&nbsp;Kemal Eren ,&nbsp;Ettore Pennestri","doi":"10.1016/j.mechmachtheory.2024.105798","DOIUrl":"10.1016/j.mechmachtheory.2024.105798","url":null,"abstract":"<div><div>This paper aims to represent the Cardan position in the complex plane using Bottema’s instantaneous invariants for two parameters motions. The study provides unchanging and simple quantities that simplify the analysis of complicated mechanical systems by determining complex number representations of Bottema’s instantaneous invariants for Cardan motions with two parameters. The method involves illustrating invariants based on two parameters in the complex plane, defining cycloidal and Cardan motions of two parameters, and deriving the conditions for the Cardan positions. The key results are the necessary and sufficient conditions for the Cardan position for two-parameter motions in the complex plane obtained based on these instantaneous invariants.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"203 ","pages":"Article 105798"},"PeriodicalIF":4.5,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142310909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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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