{"title":"Revisiting third‑order tooth‑contact analysis of hypoid and bevel gears via the Darboux moving‑frame","authors":"Zhang-Hua Fong (chair professor), Wei-Jen Chen (Ph.D. candidate)","doi":"10.1016/j.mechmachtheory.2025.106270","DOIUrl":"10.1016/j.mechmachtheory.2025.106270","url":null,"abstract":"<div><div>Local synthesis enables hypoid and bevel gear designers to control the tooth-contact pattern and transmission error (TE) by prescribing curvature-level targets and computing the surfaces that achieve them. While second-order contact analysis is well established, robust performance under load and misalignment often requires third-order geometric compatibility—a step many practitioners avoid due to its algebraic complexity. This paper presents a systematic third-order tooth-contact framework based on the Darboux moving-frame formalism. The first- and second-order meshing relations are cast as two coupled systems of five equations in five unknowns, enabling direct numerical or symbolic solution for the principal curvatures, their derivatives, and the in-plane connection-form derivatives of the generated surface. The formulation naturally yields the angular-velocity ratio and angular accelerations without ad hoc assumptions. A symbolic implementation reproduces a published numerical example from Advanced Theories of Hypoid Gears, confirming consistency. The method provides a rigorous analytical basis for curvature-based local synthesis and supports designs with improved contact stability, reduced TE, and lower sensitivity to misalignment.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106270"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468186","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}
Dong Liang , Yun Jian , Yimin Song , Zhen Wang , Jianjia Liu
{"title":"Dynamic modelling, parameter identification and multi-performance integrated trajectory planning methodology for a new high-speed parallel mechanism","authors":"Dong Liang , Yun Jian , Yimin Song , Zhen Wang , Jianjia Liu","doi":"10.1016/j.mechmachtheory.2025.106285","DOIUrl":"10.1016/j.mechmachtheory.2025.106285","url":null,"abstract":"<div><div>For high-speed mechanical equipment, accurate dynamic parameters and efficient task planning are crucial for enhancing the system's dynamic performance. This paper focuses on a new high-speed parallel mechanism (HSPM), establishing its dynamics model, conducting dynamic parameter identification, and proposing a new multi-performance integrated trajectory planning (MPITP) framework for high-speed pick-and-place operations. First, a dynamics model of system is derived using Kane's method, and the dynamic identifiable parameters are extracted. Next, an optimal excitation trajectory is designed and validated experimentally on the HSPM prototype to identify all the dynamic parameters of system. On this basis, a MPITP framework is proposed, which employs two trajectory generation strategies i.e., piecewise polynomials and quintic B-spline curves, to achieve C<sup>4</sup> continuity of trajectory. Two time-scaling factors are defined, which is optimized by considering end-effector acceleration, jerk, and energy consumption. Experimental results demonstrate that the optimized trajectory enhances system dynamic performance. Moreover, the B-spline trajectory generation strategy yields comprehensive dynamic performance including lower peak acceleration, jerk, and motor energy consumption, providing a theoretical and experimental foundation for improving the dynamic performance and stability of HSPMs.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106285"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468103","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}
Haibo Gao , Yu Wang , Zhen Liu , Runze Yuan , Renchao Lu , Zihang Zhao
{"title":"An integrated mechanical-control design methodology for the active suspension of lunar crewed vehicles","authors":"Haibo Gao , Yu Wang , Zhen Liu , Runze Yuan , Renchao Lu , Zihang Zhao","doi":"10.1016/j.mechmachtheory.2025.106279","DOIUrl":"10.1016/j.mechmachtheory.2025.106279","url":null,"abstract":"<div><div>The main goal of this study is to formulate a methodology for the concurrent design of mechanical parameters and the control law. In this paper, a method is proposed to calculate the parameters of a parallel active suspension for lunar crewed vehicles. An approach to quantify the coupling between mechanical parameters and the control law is facilitated by a simultaneous design strategy. The efficiency of the concurrent method is demonstrated through multibody dynamics simulations of suspension designs for lunar crewed vehicles. From the main results obtained, it can be drawn that the enhancement of dynamic performance, as evidenced through the stability improvement under high-speed travel, the suppression of vibration in the sprung mass and the limitation of active compensation thresholds, is achieved in comparison to both passive suspension and sequentially designed active suspension.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106279"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145420501","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":"Contact load distribution modeling of double-nut ball screws: Integrating kinematic errors analysis with machine learning approaches","authors":"Weiliang Zuo , Baobao Qi , Zhifeng Liu , Chuanhai Chen , Yongsheng Zhao , Qiang Cheng , Jinyan Guo , Nana Niu","doi":"10.1016/j.mechmachtheory.2025.106272","DOIUrl":"10.1016/j.mechmachtheory.2025.106272","url":null,"abstract":"<div><div>In the linear axis drive system (LADS) of machine tools, contact load model of double-nut ball screw (DNBS) is essential for analyzing contact load distribution (CLD) and fatigue life. Most existing studies neglect the coupled influence of kinematic errors. Therefore, a CLD model integrating kinematic errors perturbations is developed. First, kinematic errors are mapped to screw radial bending deformation through coordinate transformation. Next, geometric constraints are incorporated to build the CLD and fatigue life models. In addition, guide rail geometric errors (X-straightness, <span><math><msub><mi>k</mi><mn>1</mn></msub></math></span>; Y-straightness, <span><math><msub><mi>k</mi><mn>2</mn></msub></math></span>; and parallelism, <span><math><msub><mi>k</mi><mn>3</mn></msub></math></span>) are adopted to represent kinematic errors. Experimental validation shows that the proposed model achieves a maximum relative error below 10.97%. Global sensitivity analysis and feature ablation identifies nut position as the dominant factor, with weights of 54.9%–65.3%. Among error parameters, <span><math><msub><mi>k</mi><mn>2</mn></msub></math></span> is most influential (19.9%–30.6%). Accordingly, a hierarchical adjustment strategy is proposed: prioritize nut position and <span><math><msub><mi>k</mi><mn>2</mn></msub></math></span> across the entire travel range, and prioritize the adjustment of <span><math><msub><mi>k</mi><mn>1</mn></msub></math></span> within the mid-section interval. This strategy offers a practical means to optimize LADS performance under complex error conditions.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106272"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468040","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":"Advances in generalized parallel mechanisms: Coupling, configurable, and articulated designs","authors":"Zhihao Xia , Yongheng Xing , Chunxu Tian , Dan Zhang","doi":"10.1016/j.mechmachtheory.2025.106287","DOIUrl":"10.1016/j.mechmachtheory.2025.106287","url":null,"abstract":"<div><div>This paper reviews recent advancements in Generalized Parallel Mechanisms (GPMs), which extend the capabilities of Conventional Parallel Mechanisms (CPMs) through innovative designs featuring coupling sub-chains, configurable platforms, and articulated platforms. Firstly, the in-depth classification of GPMs is emphasized and the design principles, kinematic analysis, and performance evaluation are detailed to enhance their application capabilities. Then, this paper develops into the analysis of characteristics and performance, covering aspects such as reconfiguration characteristics, workspace performance, and singularity analysis, which are crucial for understanding and optimizing the behavior and efficiency of mechanisms. Furthermore, the key challenges in GPMs are emphasized, including the need for systematic type synthesis methods, clearer motion description frameworks, and comprehensive performance analysis tools that incorporate workspace, singularity, motion/force transmissibility, and various performance indicators. It also highlights future research directions to enhance potential of GPMs in automation and robotics. Finally, this paper presents a comprehensive overview of the practical applications across different fields, including grasping, locomotion, and origami mechanisms. It highlights how GPMs leverage their unique design features to enhance performance, adaptability, and efficiency in various engineering and robotic tasks.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106287"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468187","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}
Xingyuan Zheng , Yumei Hu , Gang Li , Jun Luo , Robert G. Parker
{"title":"An analytical mesh stiffness model of high-contact-ratio spur gears covering multiple structure coupling effects","authors":"Xingyuan Zheng , Yumei Hu , Gang Li , Jun Luo , Robert G. Parker","doi":"10.1016/j.mechmachtheory.2025.106286","DOIUrl":"10.1016/j.mechmachtheory.2025.106286","url":null,"abstract":"<div><div>High contact ratio (HCR) spur gears are promising transmission elements in high-power density devices. During gear mesh, a phenomenon known as the structure coupling effect significantly alters mesh behavior and has gained increasing attention recently. However, mainstream formulas lack generality for structure coupling effects stemming from multiple tooth contact of HCR spur gears (multiple structure coupling effects), leaving challenges to capture mesh stiffness accurately. This paper proposes an analytical mesh stiffness model of HCR spur gears. Complex deformation responses are layered and characterized by a simple integer, and a unified fillet foundation stiffness is derived to cover multiple structure coupling effects. A formatted load sharing model further incorporated multiple structure coupling effects and extended tooth contact. Comparisons with benchmark FE models demonstrated the accuracy of the present model. Subsequently, kinematic and dynamic analysis uncovered unique influences of multiple structure coupling effects on mesh behaviors.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106286"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468042","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}
Ying Li , Jiageng Ruan , Zexuan Han , Jingjing Hu , He Wan
{"title":"MADDPG-based energy management strategy for multi-mode distributed drive electric bus","authors":"Ying Li , Jiageng Ruan , Zexuan Han , Jingjing Hu , He Wan","doi":"10.1016/j.mechmachtheory.2025.106284","DOIUrl":"10.1016/j.mechmachtheory.2025.106284","url":null,"abstract":"<div><div>The distributed electric drive powertrain is one of the most promising ways to electrify and decarbonize heavy-duty vehicles. To improve the energy efficiency and driving comfort of distributed drive electric buses, this study proposes an Energy Management Strategy based on the Hybrid-Action Multi-Agent Deep Deterministic Policy Gradient algorithm (HA-MADDPG). The MADDPG algorithm enhances the EMS's adaptability and rapid response in varying environments through centralized training and decentralized execution strategy. Considering that single-motor and dual-motor driving modes are available, a rule-learning combined strategy is applied to select discrete driving modes, which adopts a look-up table to determine the single-motor mode, while continuous actions simulate the selection of the dual-motor driving mode. Expert experience is introduced in the HA-MADDPG to guide exploration and correct the unreasonable exploration by Agents, which accelerates the training speed and improves training quality. Results show that the proposed HA-MADDPG EMS improves energy efficiency by up to 1.59 % compared with the Real-time Rule-based EMS, which is widely adopted in real vehicles. Compared with theoretically Optimal Rule-based EMS, HA-MADDPG-based EMS achieves similar energy performance with fewer mode switching actions.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106284"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468185","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":"Control parameter design method for multi-axis machine tools based on graphical implementation","authors":"Jinyin Zhou , Haoyu Liu , Jun Wu , Xiaoqin Hao","doi":"10.1016/j.mechmachtheory.2025.106293","DOIUrl":"10.1016/j.mechmachtheory.2025.106293","url":null,"abstract":"<div><div>Due to the complexity of multi-axis machine tools, control parameters are generally tuned by engineers and the control performance is not optimal in terms of servo matching. In this paper, a new control-parameter design method for multi-axis machine tools to reduce contour error is proposed. The prescribed amplitude/phase responses at the trajectory’s dominant frequency are set as functions of a constraint parameter. The constraint parameter aligns all axes’ phase at the dominant frequency, which can be used to balance the trajectory amplitude error at the dominant frequency and the phase discrepancy among the axes at the non-dominant frequencies of the trajectory. By designing an appropriate constraint parameter, the multi-axis servo matching of the machine tool can be realized. Amplitude, phase and overshoot are mapped to circles and lines in the control parameter plane. The intersection of the prescribed amplitude and phase curves yields the desired control parameters. Experiments on a five-axis machine tool show that the method achieves better results than manual adjustment on various periodic trajectories.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106293"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145520302","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}
M. García-Pérez , M. Escalero , D. Cubillas , M. Olave , A. Fernández del Rincón
{"title":"Simulation strategy for the wear process of spur gears considering operational time series","authors":"M. García-Pérez , M. Escalero , D. Cubillas , M. Olave , A. Fernández del Rincón","doi":"10.1016/j.mechmachtheory.2025.106295","DOIUrl":"10.1016/j.mechmachtheory.2025.106295","url":null,"abstract":"<div><div>Gear transmissions are critical components in mechanical and transportation systems, where wear progressively alters tooth geometry, diminishes efficiency, and compromises reliability. Conventional wear prediction methods typically rely on simplified cyclic load spectra, which inadequately represent the highly variable operating conditions encountered in real-world applications. This discrepancy limits the accuracy of existing approaches, particularly under oscillatory regimes with non-stationary loads.</div><div>To overcome this limitation, this study introduces an efficient analytical framework for predicting wear in spur gears directly from operational time series of load and position. The proposed method builds upon physical wear models and accounts for the transient evolution of contact conditions, while maintaining low computational overhead. Validation against finite element simulations confirms that the approach accurately reproduces tooth wear profiles, yielding low relative errors across diverse loading scenarios.</div><div>The results underscore the importance of explicitly incorporating full time series data for reliable wear estimation under non-cyclic conditions. Beyond enhancing predictive accuracy, the proposed strategy offers practical advantages for integration into digital twin frameworks and predictive maintenance systems, where real-time or near-real-time assessments are essential.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106295"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145617867","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}
Zhen Yuan , Erke Qin , Zhihao Xu , Penghua Zhang , Ruoxiang Huang , Rongjie Kang , Jian S. Dai , Zhibin Song
{"title":"A two degrees of freedom robotic hand for grasping and intra-palmar fine manipulation","authors":"Zhen Yuan , Erke Qin , Zhihao Xu , Penghua Zhang , Ruoxiang Huang , Rongjie Kang , Jian S. Dai , Zhibin Song","doi":"10.1016/j.mechmachtheory.2025.106291","DOIUrl":"10.1016/j.mechmachtheory.2025.106291","url":null,"abstract":"<div><div>Grasp generalisation ability and intra-palmar manipulation ability are important functions of robotic hands. Currently, most robotic hands with these two abilities have a human-like structure with an excessive number of degrees of freedom, results in a complex and costly design that can hinder their practical application in scenarios prioritizing cost-effectiveness and simplicity. In response to this issue, this paper presents a new design for a robotic hand with three fingers and two degrees of freedom, capable of grasping and intra-palmar manipulation. This streamlined motion style, which combines a grasping degree of freedom and a twisting degree of freedom, can perform most hand grasping actions as well as intra-palmar manipulation without the need for wrist compensation. A theoretical model of the mechanism's motion and a force coupling model have been established, as well as a prototype. The robotic hand performance evaluation experiments and the force coupling compensation experiments are implemented. Experimental results verify that the robotic hand has strong grasping ability, fine intra-palmar manipulation ability and large load capacity. The proposed robotic hand provides a new solution for manipulation tools.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"218 ","pages":"Article 106291"},"PeriodicalIF":4.5,"publicationDate":"2025-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145520299","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}