{"title":"Research on high-smooth walking and adaptive obstacle-crossing of closed-chain multi-legged robot","authors":"Hui Yang , Junzhuo Zhou , Jianxu Wu , Yan-an Yao","doi":"10.1016/j.mechmachtheory.2025.106123","DOIUrl":"10.1016/j.mechmachtheory.2025.106123","url":null,"abstract":"<div><div>The single-degree-of-freedom closed-chain leg mechanism has a limited foot-point trajectory, which leads to insufficient ground adaptability of the robot. This paper proposes a novel adaptive closed-chain leg mechanism that combines single-power swing-driven actuation, high-rigidity stable load-bearing, and adaptive reconfigurable obstacle-crossing characteristics. By establishing a single-power seven-bar nine-joint mechanism configuration and performing dimensional optimization, the lateral stride distance and vertical leg-lifting height are increased, enhancing obstacle-crossing performance. During the walking supporting phase, the non-circular gear profile is designed through dynamic coupling and phase matching to compensate for vertical center-of-mass fluctuation and longitudinal speed fluctuation, effectively reducing energy consumption while improving walking smoothness. An adaptive reconfiguration module is designed and analyzed to enable passive reconfiguration during the swing phase, allowing the robot to adaptively overcome obstacles across varying terrains. A multi-legged robot prototype was constructed, and typical obstacle adaptability experiments were conducted to verify the feasibility of the design.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106123"},"PeriodicalIF":4.5,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517207","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}
Pengfei Yao , Long Li , Shengnan Lyu , Wuxiang Zhang , Xilun Ding
{"title":"Analysis of equivalent motion for stable contact in clearance-affected revolute joints","authors":"Pengfei Yao , Long Li , Shengnan Lyu , Wuxiang Zhang , Xilun Ding","doi":"10.1016/j.mechmachtheory.2025.106132","DOIUrl":"10.1016/j.mechmachtheory.2025.106132","url":null,"abstract":"<div><div>Establishing an error model for clearance-affected revolute (CR) joints that accounts for contact forces is crucial for static and quasi-static mechanism accuracy analysis. This study begins with a force analysis of CR joints, classifying 13 contact modes into stable and unstable categories based on the absence or presence of specific terms in the static equilibrium equations. A kinematic formula for equivalent motion error vectors and the fundamental properties of CR joints during contact are utilized to analyze stable contact modes, deriving geometric constraints and motion error vectors. The relationship between the ranges of contact parameter and stable contact modes is further established, revealing continuous transition patterns between stable modes. By employing screw theory and the product of exponentials formula, a kinematic mapping is formulated to relate stable contact modes, motion error vectors, error twists, and actual poses. Finally, the proposed equivalent motion error model is applied to evaluate actual poses in CR joints within the isosceles trapezoidal Bricard linkage and Sarrus linkage. This work lays the foundation for kinematic-based accuracy analysis of static and quasi-static mechanisms.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106132"},"PeriodicalIF":4.5,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144522972","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}
Ji-Xuan Yang , Hong-Bo Yang , Zhi-Yong Chen , Wen-Ku Shi , Hai-Sheng Song
{"title":"Multi-tooth contact analysis of rough-flank hypoid gears based on non-uniform rational B-splines","authors":"Ji-Xuan Yang , Hong-Bo Yang , Zhi-Yong Chen , Wen-Ku Shi , Hai-Sheng Song","doi":"10.1016/j.mechmachtheory.2025.106137","DOIUrl":"10.1016/j.mechmachtheory.2025.106137","url":null,"abstract":"<div><div>In this study, a tooth flank modelling and contact analysis method for hypoid bevel gears is introduced using the non-uniform rational B-splines (NURBS) surface-fitting technique. Based on the effect of weighting factor variations on NURBS geometry, the local tooth-fitting accuracy is optimised while maintaining acceptable computational complexity. The simulations of meshing characteristic and flank micro-modification is conducted. The computational model for the loaded tooth contact analysis (LTCA) of a gear pair incorporates tangential friction at the contact point, and the influence of the friction one simulation results is thoroughly examined. Additionally, an iterative method is employed to extend the single-tooth LTCA to multi-tooth scenarios, which enables the calculation of tooth load distribution at a lower computational cost. The transmission error, meshing stiffness, and contact area obtained using the proposed rough-flank LTCA (R-LTCA) model agree better with experimental measurements than the results of finite-element simulation. The findings indicate that proposed R-LTCA method outperforms the finite-element method in terms of simulation accuracy and computation cost.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106137"},"PeriodicalIF":4.5,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517002","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}
Xiaoshu Zhang , Yi Sun , Andong Jiang , Qian Qi , Huan Shen , Aihong Ji
{"title":"Kinematic/stiffness analysis, comparison and optimization of a redundantly actuated ankle rehabilitation robot and its non-redundantly actuated form","authors":"Xiaoshu Zhang , Yi Sun , Andong Jiang , Qian Qi , Huan Shen , Aihong Ji","doi":"10.1016/j.mechmachtheory.2025.106131","DOIUrl":"10.1016/j.mechmachtheory.2025.106131","url":null,"abstract":"<div><div>This paper proposes a novel three degrees of freedom (3-DoF) redundantly actuated parallel ankle rehabilitation manipulator PUPaR-2PRPaU-PU and its non-redundantly actuated form, PUPaR-PRPaU-PU. The proposed parallel ankle rehabilitation manipulators (PARMs) feature two rotational motions (2R) for plantarflexion/dorsiflexion (PL/DO) and inversion/eversion (IN/EV) of the ankle, as well as one translational motion (1T) for traction along the longitudinal axis of the lower leg. First, mobility analysis, inverse and forward kinematics, singularity analysis, and workspace analysis are presented for the two PARMs. Then, the transmission index and the good transmission workspace are selected to evaluate the transmission performance of the two PARMs. Next, the stiffness models are derived through the virtual joint method, and the stiffness performance of the two PARMs is evaluated via the virtual stiffness index. The analysis results demonstrate that the redundantly actuated PARM can achieve better transmission and stiffness performance than its non-redundantly actuated counterpart, despite a slight reduction in its reachable workspace. Finally, the parameter-fitness normalization method is applied to optimize the transmission and stiffness performance of the two PARMs.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106131"},"PeriodicalIF":4.5,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491467","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}
Meng Ao , Gaohong Yu , Lei Wang , Liang Sun , Bingliang Ye
{"title":"Integrated optimization synthesis of linkage mechanism structures and dimensions free from kinematic defects","authors":"Meng Ao , Gaohong Yu , Lei Wang , Liang Sun , Bingliang Ye","doi":"10.1016/j.mechmachtheory.2025.106121","DOIUrl":"10.1016/j.mechmachtheory.2025.106121","url":null,"abstract":"<div><div>This paper presents a novel methodology for the integrated optimization synthesis of linkage mechanism structures and dimensions, utilizing a kinematic defect-free dyad comprising two bars with three revolute joints (3R dyad). The approach overcomes the challenges associated with designing single structure linkages, kinematic defects, and optimization issues common in traditional multi-bar mechanisms. By standardizing the parameterization of defect-free 3R dyads, this methodology facilitates the uniform mapping of structural and dimensional parameters into a consolidated design variable space, enabling simultaneous optimization of topological structures and dimensions—a significant advancement over traditional methods that address these aspects separately. Moreover, the proposed method fundamentally prevents kinematic defects by ensuring that all generated mechanisms inherently satisfy kinematic constraints throughout the optimization process, thereby eliminating the need for defect screening during or after optimization. The synthesis method for linkage structures, based on the 3R dyad and its unified dimension parameterization strategy, is detailed. To substantiate the proposed methodology, experimental tests were conducted on two six-bar mechanisms for path generation tasks and two eight-bar mechanisms for rigid-body guidance tasks. The outcomes confirm that the optimized linkage mechanisms precisely fulfill diverse motion requirements without kinematic defects. Additionally, the optimization design of a six-bar leg rehabilitation mechanism demonstrates the practicality and efficiency of this approach, further validating its superiority in real-world applications.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106121"},"PeriodicalIF":4.5,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144480836","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}
Suchul Kim, Sanggon Moon, Chan-ho Choi, Jonghyeon Sohn
{"title":"Optimal design strategy for gear pairs integrating macro and micro geometry optimization","authors":"Suchul Kim, Sanggon Moon, Chan-ho Choi, Jonghyeon Sohn","doi":"10.1016/j.mechmachtheory.2025.106119","DOIUrl":"10.1016/j.mechmachtheory.2025.106119","url":null,"abstract":"<div><div>An optimal design methodology for involute gear pairs integrating macro- and micro geometry optimization is proposed. A two-stage multi-objective optimization using NSGA-III minimizes gear mesh power loss and peak-to-peak static transmission error under strength and geometric constraints. Macro geometry optimization identifies diverse candidate designs, and micro geometry optimization refines tooth profile modifications to further enhance performance. A random forest regression model analyzes the optimized results and extracts key macro geometry features associated with superior outcomes. Based on these insights, a macro geometry design strategy is formulated and validated through re-optimization. The proposed methodology suggests a systematic approach to establishing generalized gear design guidelines, it should be noted that the findings are derived under specific design conditions and may require further verification for broader applications.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106119"},"PeriodicalIF":4.5,"publicationDate":"2025-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491468","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}
Giuseppe Sciarra , Giovanni Mottola , Gustavo Casamenti , Marco Carricato
{"title":"Omni: A low-backlash planetary Wolfrom gearbox with beveloid gears for robotic applications","authors":"Giuseppe Sciarra , Giovanni Mottola , Gustavo Casamenti , Marco Carricato","doi":"10.1016/j.mechmachtheory.2025.106098","DOIUrl":"10.1016/j.mechmachtheory.2025.106098","url":null,"abstract":"<div><div>This article presents an innovative Wolfrom planetary gearbox for robotic applications, named “Omni”. It combines the Wolfrom planetary architecture with beveloid gears to achieve small transmission ratios (up to 1:160) in a compact shape. The key advantage of beveloid gears lies in their ability to adjust their contact position through axial movements, thus ensuring minimal torsional backlash (under 0.6 arcmin) over the entire lifespan of the gearbox. A comparison of the technologies for robot gearboxes is first reported, highlighting the advantages of the proposed solution. The article then presents the architecture and the main characteristics of the new gearbox, with a focus on the kinetostatic analysis. Two designs are proposed: one with solid and coaxial input and output shafts, and another with hollow and parallel shafts to accommodate data and supply cables. Finally, the results of validation experiments are discussed. Endurance and characterization tests confirm that Omni reaches the target performances, such as very low backlash, high stiffness, smooth motion transmission, long lifespan, and low transmission error.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106098"},"PeriodicalIF":4.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470811","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}
Tom Abraham , Ignacio Gonzalez-Perez , Alfonso Fuentes-Aznar
{"title":"Computerized design and mathematical modeling of spherical pivoting gears for variable shaft angles","authors":"Tom Abraham , Ignacio Gonzalez-Perez , Alfonso Fuentes-Aznar","doi":"10.1016/j.mechmachtheory.2025.106117","DOIUrl":"10.1016/j.mechmachtheory.2025.106117","url":null,"abstract":"<div><div>The development of gear drives that enable variable shaft angles or that are insensitive to large shaft angle variations has been a topic of interest across various industries for decades. Traditional approaches to developing such geometries present issues such as severe undercutting on tooth surfaces. This work introduces spherical pivoting gears as a type of gear drive that allows for shaft angles ranging from parallel to asymptotically approaching 90°. The computerized design and mathematical modeling of this type of gear geometry are presented and defined for unitary transmission ratios. To validate the obtained geometry, unloaded Tooth Contact Analysis (TCA) is conducted for several pivoting angles, revealing very low transmission errors that increase as the pivoting angle increases. Additionally, the geometry is evaluated under alignment errors and through Finite Element Analysis (FEA). Results indicate that the proposed design is feasible for applications requiring variable shaft angles, provided the transmitted torque remains low.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106117"},"PeriodicalIF":4.5,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470812","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}
Matteo Autiero, Giovanni Paoli, Marco Cirelli, Pier Paolo Valentini
{"title":"Influence of profile modifications on spur gear sliding power losses: An integrated approach with advanced mesh stiffness and partial EHL","authors":"Matteo Autiero, Giovanni Paoli, Marco Cirelli, Pier Paolo Valentini","doi":"10.1016/j.mechmachtheory.2025.106118","DOIUrl":"10.1016/j.mechmachtheory.2025.106118","url":null,"abstract":"<div><div>This study investigates the impact of profile modifications on sliding power loss in cylindrical gears, a critical aspect of gear efficiency. Profile modifications are widely adopted in gear design to improve load distribution, mitigate noise and vibrations, and enhance durability. Although much of the existing research has focused on their dynamic benefits, such as reducing noise and vibration, their influence on gear meshing efficiency, particularly sliding power losses, remains insufficiently quantified. Leveraging an original advanced mesh stiffness model sensitive to microgeometry modifications, this work integrates an analytical load-sharing model with a partial elastohydrodynamic lubrication framework to evaluate the instantaneous friction coefficient. The analysis reveals that certain profile modifications, specifically tip relief and profile barreling, can significantly reduce sliding power losses, often by more than 20%. In contrast, pressure angle modification has a negligible effect on power loss, especially at higher torques. These findings demonstrate that profile modifications can substantially alter gear mechanical efficiency and must be considered in design. Neglecting them may lead to significant over- or underestimation of energy losses. Although based on static analysis, the identified trends are robust and generalizable across gear types and load conditions.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106118"},"PeriodicalIF":4.5,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144365320","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}
{"title":"A novel indirect muscle force sensing approach tailored for biomechanical multibody systems with equality and inequality constraints","authors":"Rocco Adduci, Domenico Mundo","doi":"10.1016/j.mechmachtheory.2025.106115","DOIUrl":"10.1016/j.mechmachtheory.2025.106115","url":null,"abstract":"<div><div>Muscle forces play a crucial role in daily activities, enhancing physical efficiency, musculoskeletal health, and performance in sports, work, and rehabilitation. The direct measure of muscle forces is impractical due to anatomical and ethical constraints, leading researchers to rely on indirect methods like electromyography-based techniques. While these methods capture muscle activities, they are prone to noise and require extensive post-processing. Alternatively, biomechanical multibody models faithfully represent human movement, enabling detailed kinematic and dynamic analyses. However, they suffer the redundancy in muscle recruitment, making inverse dynamics problems underdetermined. Optimization-based approaches are often used to solve this problem, but they lean on multi-layer solutions that overlook possible model drift and measurement noise. Recent approaches employ Kalman filters to indirectly estimate the system dynamics. While effective for joint force reconstruction, their application to muscle force estimation is limited by redundancy issues. This study proposes a novel Kalman filter-based framework for constrained multibody models, leveraging non-invasive sensors to estimate system dynamics and muscle forces. The framework is benchmarked using OpenSim simulations of an upper-limb muscular-skeletal model, focusing on shoulder and elbow movements.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"214 ","pages":"Article 106115"},"PeriodicalIF":4.5,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470979","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}