Kai Liu , Hao Ma , Jingfang Liu , Jingjun Yu , Guohua Gao , Xianwen Kong
{"title":"Geometric construction and reconfiguration analysis of multi-mode two-loop spatial mechanisms and their multi-loop extensions","authors":"Kai Liu , Hao Ma , Jingfang Liu , Jingjun Yu , Guohua Gao , Xianwen Kong","doi":"10.1016/j.mechmachtheory.2025.106083","DOIUrl":"10.1016/j.mechmachtheory.2025.106083","url":null,"abstract":"<div><div>Multi-mode multi-loop spatial mechanisms (MMSMs) are an important class of reconfigurable mechanisms, yet their diversity remains highly limited. This paper focuses on the geometric construction and reconfiguration analysis of multi-mode two-loop spatial mechanisms (MTSMs) and their extensions to MMSMs. Using the construction method, three types of MTSMs with two motion modes are synthesized by combining two classical Bricard mechanisms while constraining their undesired motion modes. Reconfiguration analysis of the proposed MTSMs is conducted using dual quaternions and the natural exponential function substitution to prove their motion characteristics. Subsequently, the construction method is extended to synthesize novel MMSMs with two motion modes. Various MMSMs are formed and further adopted to construct double-layer MMSMs for multi-mode morphing wings. Finally, the mobility properties of the double-layer MMSMs in both the contraction-expansion and parallelogram modes are substantiated through dual quaternions. This work provides a novel idea for constructing MMSMs from MTSMs without altering their motion characteristics.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106083"},"PeriodicalIF":4.5,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144169164","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":"An efficient variable-length viscoelastic beam model for dynamic analysis of hard-magnetic soft continuum robots","authors":"Zheng Chen, Hui Ren, Ping Zhou, Wei Fan","doi":"10.1016/j.mechmachtheory.2025.106091","DOIUrl":"10.1016/j.mechmachtheory.2025.106091","url":null,"abstract":"<div><div>The emerging hard-magnetic soft continuum robots (HMSCRs) enable groundbreaking applications in medical surgery, yet real-time dynamic simulations remain challenging due to the interplay of time-varying geometry, magnetoelastic large deformations, viscoelastic history dependence, and environmental interactions. Previous research was limited to modeling constant-length HMSCRs for the design, such that the previous models cannot be used for dynamic analysis and control during the variable-length motion. This work introduces a computationally efficient framework for variable-length HMSCRs, combining an arbitrary Lagrangian-Eulerian description with analytical modes discretization angle to capture large deformations using minimal degrees of freedom. The configurational force due to curvature discontinuity at the boundary is rigorously derived and the viscoelastic damping effect is introduced by the generalized Maxwell model. Various interaction forces induced by magnetic, hydrodynamic, and contact are considered to cope with various work scenarios. The dynamics of HMSCRs are studied to demonstrate the generality and applicability of the present modeling method. By enabling real-time simulation of complex telescopic dynamics in magnetic fields and fluid, this work establishes a foundation for adaptive control strategies and navigation in minimally invasive surgery.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106091"},"PeriodicalIF":4.5,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144169165","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":"X-shaped frame double-bistable mechanism: Coupling between Two bistable modules sharing an X-shaped frame","authors":"Zimu Zhang , Ruiyu Bai , Guimin Chen","doi":"10.1016/j.mechmachtheory.2025.106093","DOIUrl":"10.1016/j.mechmachtheory.2025.106093","url":null,"abstract":"<div><div>Recent research has demonstrated the potential of multistable mechanisms for logic operations, shape morphing, and robot reconfiguration. This work proposes a novel fully compliant multistable mechanism called X-frame double-bistable mechanism (XD multistable mechanism), which consists of two bistable modules sharing a common X-shaped frame. The X-shaped frame has a limited stiffness, which leads to strong coupling between the two bistable modules. By tuning four main parameters of the mechanism, a variety of state switching behaviors are exhibited by six examples. The two motion paths of the mechanism were demonstrated through a kinetostatic model, and the path transition phenomenon was explained from an energy perspective. A bistable module demonstrates distinct mechanical properties when the state of another module undergoes changes. An anomalous transition phenomenon resulted from the coupling is also uncovered. The state switching behaviors and the anomalous transition phenomenon are further validated by experiments. The rich mechanical behaviors presented can effectively guide further design and application based on such multistable mechanisms.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106093"},"PeriodicalIF":4.5,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144169163","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":"Direct kinematics, inverse kinematics, and motion planning of 1-DoF rational linkages","authors":"Daniel Huczala , Andreas Mair , Tomas Postulka","doi":"10.1016/j.mechmachtheory.2025.106074","DOIUrl":"10.1016/j.mechmachtheory.2025.106074","url":null,"abstract":"<div><div>This study presents a set of algorithms that deal with trajectory planning of rational single-loop mechanisms with one degree of freedom (DoF). Benefiting from a dual quaternion representation of a rational motion, a formula for direct (forward) kinematics, a numerical inverse kinematics algorithm, and the generation of a driving-joint trajectory are provided. A novel approach using the Gauss–Newton search for the one-parameter inverse kinematics problem is presented. Additionally, a method for performing smooth equidistant travel of the tool is provided by applying arc-length reparameterization. This general approach can be applied to one-DoF mechanisms with four to seven joints characterized by a rational motion, without any additional geometrical analysis. An experiment was performed to demonstrate the usage in a laboratory setup.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106074"},"PeriodicalIF":4.5,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144155184","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":"Comprehensive SCME: A nonlinear large-deformation modeling approach for planar compliant mechanisms","authors":"Tinghao Liu, Guangbo Hao","doi":"10.1016/j.mechmachtheory.2025.106070","DOIUrl":"10.1016/j.mechmachtheory.2025.106070","url":null,"abstract":"<div><div>This work presents a comprehensive energy method based on the smooth curvature model (CoSCME) for modeling the nonlinear large deformations of planar compliant mechanisms, addressing limitations of existing methods. CoSCME accounts for large axial and bending deformations, as well as strain and stress in beams with arbitrary shapes, including straight beams and curved beams. Both axial strain and curvature are fitted using shifted Legendre polynomials, while the corresponding deformations are derived through integration. When modeling initially-curved beams, multiple linear regression is applied to determine the initial generalized coordinates. Additionally, CoSCME adapts to diverse application scenarios, including compresural beams, tensural beams, bistable mechanisms (with straight or initially-curved beams), and general lumped-compliance beams. The modeling of general lumped-compliance beams is achieved by defining moderate geometric parameters in the model and applying coordinate transformations. Various specific configurations of general lumped-compliance beams are then derived. Modeling results are validated through nonlinear finite element analysis conducted in Strand7, demonstrating high consistency. The proposed CoSCME exhibits considerable potential for advancing the design, modeling, and optimization of planar compliant mechanisms.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106070"},"PeriodicalIF":4.5,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144139281","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 Chen , Haijun Zhang , Xiaoping Xiao , Chao He , Kai Zhu , Yangzhi Chen , Alfonso Fuentes-Aznar
{"title":"Computerized design of asymmetric pure rolling gears with a method for predesigning the desired function of unloaded transmission errors","authors":"Zhen Chen , Haijun Zhang , Xiaoping Xiao , Chao He , Kai Zhu , Yangzhi Chen , Alfonso Fuentes-Aznar","doi":"10.1016/j.mechmachtheory.2025.106072","DOIUrl":"10.1016/j.mechmachtheory.2025.106072","url":null,"abstract":"<div><div>A computerized design method for asymmetric pure rolling gears and a novel approach for actively design the unloaded function of transmission errors using the internal rotation of the transverse tooth profiles are proposed. Parameterized equations for the tooth surfaces of asymmetric pure rolling cylindrical gears are developed. A comparative analysis of various design combinations of normal pressure angles and helix angles is conducted, focusing on contact patterns, transmission errors, and maximum contact and bending stresses. The optimal design combination is identified and compared to symmetric pure rolling gears with varying normal pressure angles, demonstrating superior meshing characteristics and mechanical performance. Additionally, the proposed method, based on the internal rotation of the transverse tooth profiles, enables the achievement of a parabolic curve for the unloaded function of transmission errors. The effectiveness of the asymmetric pure rolling gear design is validated through an experimental kinematic test of the prototype.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106072"},"PeriodicalIF":4.5,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131194","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}
Sanjar Ahmad , Qing Wu , Esteban Bernal , Maksym Spiryagin , Colin Cole , Roger Buckley
{"title":"Multibody dynamic analysis of vibrational and frictional energy for railway freight wagons under different track irregularities and curve radii","authors":"Sanjar Ahmad , Qing Wu , Esteban Bernal , Maksym Spiryagin , Colin Cole , Roger Buckley","doi":"10.1016/j.mechmachtheory.2025.106076","DOIUrl":"10.1016/j.mechmachtheory.2025.106076","url":null,"abstract":"<div><div>Better understanding of wagon energy consumptions is important for energy efficient wagon operations and designs. This study carries outs a computational study via multibody dynamic analysis of vibrational and frictional energy dissipation across different track conditions and suspension configurations. Detailed multibody dynamic railway wagon modelling and a combination of simulations considering different wagon speeds, track irregularities, suspension types, and curve radii were developed by using the GENSYS software package. Energy dissipation analyses for all suspension and frictional components were carried out. The results indicate that worse track irregularities lead to greater energy dissipation (28 % more from Class 6 to 3). Higher speeds and sharper curves amplified the influences of track irregularities and gave larger energy consumption variables. Individual energy consumer wise, wheel-rail contact (WRC) consistently accounts for the largest proportion of energy loss (51–57 %); roller bearings come second (32–43 %). Generally variable wedge suspensions consume less energy (about 46 % and 15 MJ less, on average). However, the corresponding WRC consume more energy than constant wedge suspensions cases (10 % and 26 MJ more, on average). This indicates that the damping performance of wedge suspensions significantly influences the energy consumptions at WRC.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106076"},"PeriodicalIF":4.5,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115046","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}
Vu-Binh Lai Nguyen , Ngoc Dang Khoa Tran , Stefan Chwastek , Grzegorz Tora , Dung-An Wang
{"title":"Energy-based kinetostatic modeling of a rotational tristable mechanism using the chained beam constraint model","authors":"Vu-Binh Lai Nguyen , Ngoc Dang Khoa Tran , Stefan Chwastek , Grzegorz Tora , Dung-An Wang","doi":"10.1016/j.mechmachtheory.2025.106081","DOIUrl":"10.1016/j.mechmachtheory.2025.106081","url":null,"abstract":"<div><div>This paper presents an energy-based approach for the kinetostatic modeling of a rotational tristable mechanism (RTM) with parametric curved beams, utilizing the chained beam constraint model (CBCM). By formulating the strain energy within the CBCM framework, the proposed method provides an efficient means to solve the CBCM for the RTM, circumventing the convergence challenges associated with solving the static equilibrium equations directly. A virtual link approach is introduced to derive the geometric constraint equations of the CBCM, where the incorporation of virtual links facilitates the calculation of the torque-angle relationship of the RTM. The RTM-based compliant mechanism can be integrated into robotic joints to enable energy-efficient switching between predefined rotational positions, enhancing performance in tasks such as grasping, indexing, and manipulation. The primary contributions of this work are twofold. First, an energy-based implementation of the CBCM is developed to mitigate convergence issues arising from the discontinuous and nonlinear mechanical responses of linkage-type compliant mechanisms. Second, the integration of virtual links within the CBCM framework enables the formulation of system equations and the computation of desired mechanical responses.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106081"},"PeriodicalIF":4.5,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144106197","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":"Computation of kinematic paths and bifurcation points for multi-degree-of-freedom mechanisms with singular value decomposition","authors":"Zhao Tang, Huijuan Feng, Jian S. Dai","doi":"10.1016/j.mechmachtheory.2025.106047","DOIUrl":"10.1016/j.mechmachtheory.2025.106047","url":null,"abstract":"<div><div>Traditional methods often struggle with the intricate motion patterns and configurations arising from singularities and multi-degree-of-freedom (MDOF). This paper proposes a novel approach that combines Singular Value Decomposition (SVD) with higher-order kinematic analyses to overcome these challenges effectively. Our methodology systematically reveals local motion characteristics at singular configurations and accurately computes kinematic paths for various mechanism configurations. The proposed technique is applied to the equivalent mechanisms from magic cubes that show different shapes during motions. Through case studies, we demonstrate the effectiveness of our approach in exploring the bifurcation behavior of reconfigurable mechanisms, providing new insights into their design.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"213 ","pages":"Article 106047"},"PeriodicalIF":4.5,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144089582","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":"From Henrici’s flexible hyperboloid to snapping spatial four-bars","authors":"Hellmuth Stachel , Daniel Huczala","doi":"10.1016/j.mechmachtheory.2025.106057","DOIUrl":"10.1016/j.mechmachtheory.2025.106057","url":null,"abstract":"<div><div>The rods of Henrici’s flexible hyperboloid are generators of a one-sheeted hyperboloid with spherical joints at each crossing point between two rods. Thus, the hyperboloid can vary within a confocal family terminated by two flat poses. The restriction to a quadrangle with sides along generators yields a one-parameter variation of this quadrangle. When we pick out two sufficiently close poses, then it is possible to find appropriate revolute joints at the vertices such that a physical model of this spatial four-bar with mutually skew revolute axes can snap from one pose into the other, though both poses are theoretically rigid. Also the converse is true: For each snapping spatial four-bar we find a hyperboloid such that the two poses originate from a Henrici flex. Consequently, additional generators of the hyperboloid in form of taut strings are compatible with the snapping of the quadrangular frame. We present an algorithm for the synthesis of snapping spatial four-bars and conclude with their geometric characterizations.</div></div>","PeriodicalId":49845,"journal":{"name":"Mechanism and Machine Theory","volume":"212 ","pages":"Article 106057"},"PeriodicalIF":4.5,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083892","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}