2011
DOI: 10.1115/1.4003270
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Mechanism State Matrices for Planar Reconfigurable Mechanisms

Abstract: This paper introduces mechanism state matrices as a novel way to represent the topological characteristics of planar reconfigurable mechanisms. As part of this new approach, these matrices will be used as an analysis tool to automatically determine the degrees of freedom (DOFs) of planar mechanisms that only contain one DOF joint. The DOF at each state can be combined with a mechanism state matrix to form an augmented mechanism state matrix. A series of examples will be used to illustrate the proposed concept.

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Cited by 14 publications
(5 citation statements)
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“…Although multitasking timber harvesters operating in timber production areas have been upgraded in recent years, the innovative designing method for and theoretical research on timber production machinery still remains weak [12][13][14][15][16][17]. In this paper, the methods from modern mechanisms that create reconfigurable mechanisms are applied to the design of the logging and brand-lopping mechanism which present a novel logging and branch-lopping mechanism.…”
Section: Introductionmentioning
confidence: 99%
“…Although multitasking timber harvesters operating in timber production areas have been upgraded in recent years, the innovative designing method for and theoretical research on timber production machinery still remains weak [12][13][14][15][16][17]. In this paper, the methods from modern mechanisms that create reconfigurable mechanisms are applied to the design of the logging and brand-lopping mechanism which present a novel logging and branch-lopping mechanism.…”
Section: Introductionmentioning
confidence: 99%
“…The adjacency matrix is another popular research. Slaboch and Voglewede [14] designed the adjacency matrix to denote the topology structures of planar linkage mechanisms. Only two elements 1 and 0 are employed in this matrix to indicate the connection status.…”
Section: Introductionmentioning
confidence: 99%
“…Santiago-Valentín et al 21 presented a novel Santiago–Portilla Method of representing any type of planar mechanisms, independently of the number of elements or the link type. Slaboch et al 22 first introduced a method of matrix representations contained the five topological characteristics, including the connectivity of the links and joints, the type of joints, the kinematic orientation of the joints, the fixed links, and the degrees of freedom of the mechanism. Sohn et al 23 developed a powerful new representation of the kinematic structure of mechanisms based on dual graphs, which permitted the development of a highly efficient completely automatic procedure for the computer-generated enumeration of the kinematic structures of mechanisms.…”
Section: Introductionmentioning
confidence: 99%