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Design and Analysis of a Metamorphic Mechanism Derived from Planar Four-Six-Bar Linkages

Дата публикации: 01-01-2027 00:00:00

The design of multi-loop metamorphic mechanisms is a challenging aspect in the study of metamorphic mechanisms. This paper presents the design and analysis of a metamorphic mechanism derived from planar four- to six-bar linkages. The mechanism is developed by adding two equal-length links to a four-bar mechanism, creating a planar six-bar metamorphic mechanism. Its kinematic characteristics are analyzed using a screw coordinate system. The metamorphic mechanism consists of three loops and eight revolute joints. It can transition between three distinct configuration branches: six-bar, four-bar, and two-bar, depending on the configuration. The paper also analyzes the singular configurations of the mechanism, identifying two types of singularities: one where links 2, 3, 4, and 7 are collinear, and another where all the links are collinear. By calculating the first-order kinematics of the mechanism, the corresponding velocity relationships and constraint equations for each joint are derived. Additionally, the paper examines how the mechanism can undergo reconfiguration transformations between different motion branches in singular configurations.

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Abstract

The design of multi-loop metamorphic mechanisms is a challenging aspect in the study of metamorphic mechanisms. This paper presents the design and analysis of a metamorphic mechanism derived from planar four- to six-bar linkages. The mechanism is developed by adding two equal-length links to a four-bar mechanism, creating a planar six-bar metamorphic mechanism. Its kinematic characteristics are analyzed using a screw coordinate system. The metamorphic mechanism consists of three loops and eight revolute joints. It can transition between three distinct configuration branches: six-bar, four-bar, and two-bar, depending on the configuration. The paper also analyzes the singular configurations of the mechanism, identifying two types of singularities: one where links 2, 3, 4, and 7 are collinear, and another where all the links are collinear. By calculating the first-order kinematics of the mechanism, the corresponding velocity relationships and constraint equations for each joint are derived. Additionally, the paper examines how the mechanism can undergo reconfiguration transformations between different motion branches in singular configurations.

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Acknowledgments

This paper is supported by Hebei Scientific Research of Higher Education Institutions under Grant QN2025222, Hebei Natural Science Foundation under Grant E2022202130.

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Authors and Affiliations
  1. School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300401, China

    Yongpeng Guan, Hongfei Liu, Yuhang Zhu, Yusong Xing & Jun Wei

Authors

  1. Yongpeng Guan
  2. Hongfei Liu
  3. Yuhang Zhu
  4. Yusong Xing
  5. Jun Wei
Corresponding author

Correspondence to Jun Wei.

Editor information
Editors and Affiliations
  1. School of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, China

    Jianrong Tan

  2. School of Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, China

    Zhenyu Liu

  3. Mechanical Engineering, Zhejiang University, Hangzhou, Zhejiang, China

    Weifei Hu

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© 2027 The Chinese Mechanical Engineering Society

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Guan, Y., Liu, H., Zhu, Y., Xing, Y., Wei, J. (2027). Design and Analysis of a Metamorphic Mechanism Derived from Planar Four-Six-Bar Linkages. In: Tan, J., Liu, Z., Hu, W. (eds) Advances in Mechanical Design. ICMD 2025. Mechanisms and Machine Science, vol 206. Springer, Singapore. https://doi.org/10.1007/978-981-95-7904-4_77

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