Kinematic configuration analysis of planar mechanisms based on basic kinematic chains

Nie, Songhui; Li, Bin; Qiu, Aihong; Gong, Shuguang

doi:10.1016/j.mechmachtheory.2011.05.014

Cited by 5 publications

(5 citation statements)

References 11 publications

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“…Nie et al. 44 conducted the kinematic configuration analysis of mechanisms with revolute pairs only, then set up and resolved the unified constraint equations. Qian et al.…”

Section: Introductionmentioning

confidence: 99%

“…49 Presented method for specific mechanisms. 44,55,56,60,61 Analyzed slider-crank mechanism. 45,47,48,52 Presented displacement analysis only.…”

Section: Introductionmentioning

confidence: 99%

“…Nie et al 44 conducted the kinematic configuration analysis of mechanisms with revolute pairs only, then set up and resolved the unified constraint equations. Qian et al 45 addressed the forward kinematic simulation analysis of slider-crank mechanisms.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A unified analytical parametric method for kinematic analysis of planar mechanisms

Abhary

2021

International Journal of Mechanical Engineering Education

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This paper describes a method for unified parametric kinematic analysis of those planar mechanisms whose geometry can be defined with a set of independent vectorial loops, i.e. solvable independently; this covers a wide range of planar mechanisms. The method is developed by employing the well-known vectorial illustration, and vectorial-loop equations solved with the aid of complex polar algebra leading to a total of only nine unified/generic one-unknown parametric equations consisting of five equations for position analysis and two equations for velocity and acceleration analysis each. Then, the kinematics of joints and mass centers are manifested as resultants of a few known vectors. This method is needless of relative-velocities, relative-accelerations, instantaneous centers of rotation and Kennedy’s Theorem dominantly used in the literature, especially textbooks. The efficiency of the method is demonstrated by its application to a complex mechanism through only eight unified equations, and simultaneously compared to the solution using the textbook common (Raven’s) method which required the derivation of 67 extra equations to get the same results. This reveals the fact that the method is not only a powerful tool for mechanical designers but a most powerful and efficient method for teaching and learning the kinematics of planar mechanisms.

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“…Nie et al. 44 conducted the kinematic configuration analysis of mechanisms with revolute pairs only, then set up and resolved the unified constraint equations. Qian et al.…”

Section: Introductionmentioning

confidence: 99%

“…49 Presented method for specific mechanisms. 44,55,56,60,61 Analyzed slider-crank mechanism. 45,47,48,52 Presented displacement analysis only.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A unified analytical parametric method for kinematic analysis of planar mechanisms

Abhary

2021

International Journal of Mechanical Engineering Education

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“…Dargar et al [24] acquired a kind of structural invariant to synthesize kinematic chain inversions whose ground links are nonsymmetric. Nie et al [25,26] developed a kind of weight code and similarity code for the detection of symmetric links, and the configuration analysis and synthesis of kinematic chains. Yang et al [27] developed a perimeter loop-based method to determine nonsymmetric links and synthesize nonisomorphic kinematic chain inversions with complex topology.…”

Section: Introductionmentioning

confidence: 99%

Symmetry Detection and Topological Synthesis of Mechanisms of Powertrains

Yang¹,

Li²

2022

Energies

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The function of vehicle powertrains (including hybrid powertrains) is to transmit power from the power source (engine or electric machine) to driving wheels. The planetary gear train (PGT) is a core structure of mechanisms of powertrains. The detection of topological symmetry is helpful for improving the efficiency of mechanism design. In this paper, we present a fully automatic and reliable method for detecting symmetry of plane kinematic chains and extend this method to symmetry detection and the topological design of mechanisms of powertrains. First, the topological model and adjacency matrix are introduced to represent various kinds of plane kinematic chains. Then, the moment matrix of the kinematic chain is established to obtain link groups, based on which we propose an algorithm to generate the unique numerical code of each link and precisely detect the symmetry. Our method is applied to synthesize different kinds of plane kinematic chains and mechanisms, which can improve the design efficiency of mechanisms of powertrains and other mechanical devices.

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“…The geometric matrix has some similarities, which are not in the basis but in the linkage models and numerical behavior. The geometric matrix has been used by the authors for some time in the solution of different kinematic and structural problems, for instance it is used in kinematic synthesis [12,13], variable geometry trusses and robotics [14,15], and analysis of singular positions [16]. Several authors use the FEM to analyze simple closed-loop mechanisms, and the stiffness matrix or the geometric stiffness matrix is the main research content [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Method for Kinematic Analysis of Parallel Hip Joint Manipulator

Wang

Yang

2015

Journal of Mechanisms and Robotics

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This paper presents a finite element method (FEM) for the kinematic solution of parallel manipulators (PMs), and this approach is applied to analyze the kinematics of a parallel hip joint manipulator (PHJM). The analysis and simulation results indicate that FEM can get accurate results of the kinematics of the PHJM, and the solution process shows that using FEM can solve nonlinear and linear kinematic problems in the same mathematical framework, which provides a theory base for establishing integrated model among different parameter models of the PHJM.

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Kinematic configuration analysis of planar mechanisms based on basic kinematic chains

Cited by 5 publications

References 11 publications

A unified analytical parametric method for kinematic analysis of planar mechanisms

A unified analytical parametric method for kinematic analysis of planar mechanisms

Symmetry Detection and Topological Synthesis of Mechanisms of Powertrains

Finite Element Method for Kinematic Analysis of Parallel Hip Joint Manipulator

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