... units is analyzed to determine their conceptual configuration based on graph theory. Then, the weighted graph, adjacency matrix, and connection rules are evaluated to synthesize the conceptual structure for the truss mechanism. The results show that this configuration can allow multidimensional...

... a novel modeling method to systematically remove the interference structures, with graph theory in structural synthesis. Based on the original graph theory, this paper proposes an equivalent replacement modeling method to convert the motor graph model into a brake-like graph model. Based on the conversion...

... derivative [ 44 , 53 ] of the Miura pattern contains four independent four-fold vertices: node N 1 (equivalently nodes N 3 , N 7 , and N 9 ), node N 2 (equivalently node N 8 ), node N 4 (equivalently node N 6 ), and node N 5 . Based on graph theory and periodic symmetry [ 54 , 55...

... structures graph theory References Yasuda , H. , and Yang , J. , 2015 , “ Reentrant Origami-Based Metamaterials With Negative Poisson's Ratio and Bistability ,” Phys. Rev. Lett. , 114 ( 18 ), 185502 . 10.1103/PhysRevLett.114.185502 Brunck , V. , Lechenault , F. , Reid...

... that such conversions allow design spaces of graph structures to be visualized, sampled, and evaluated. In principle, they also allow other powerful numerical techniques to be applied to the design of graph-structure-based systems. graph theory system architecture design space visualization computational...

... (mechanical) graph theory The level of complexity of modern engineering systems is growing constantly. The integration of different technology types into a single system and the growing use of control systems increase the difficulty of analyzing the interactions between components and subsystems...

...; only a few studies discuss when and how to incorporate supply chain decisions during product design. This paper presents a graph theory based optimization methodology to tackle this problem. The supplier selection issue is considered by evaluating its impact on both internal (e.g., ease of assembly...

... in the kinematic scheme and on the variation in the cradle radial setting on a cradle-type generator. 22 09 2009 10 12 2009 01 03 2010 01 03 2010 computerised numerical control gears graph theory machine tools polynomials The traditional cradle-type hypoid generators...

.... ( a ) A nine-link simple joint kinematic chain and ( b ) its topological graph The kinematic chains studied the most so far are simple joint kinematic chains, and their topological graphs can be represented by common graphs in graph theory (in this paper, they are defined the monochrome graphs...

... flexible structures graph theory structural engineering In the second step of mechanization, additional links are added to the chain of m segments in order to reduce the mechanism’s number of DOFs. The overall objective is to minimize the number of DOFs while producing a shape-change...

... are the terminology as used in graph theory, and do not refer to the geometric entities of the structure they define. Each start, control, or end point of a Bezier curve is at the center of the element containing it; therefore, its location is actually referenced by the element number. In this work, the elements...

...Y. V. D. Rao, Ph.D.; A. C. Rao, Ph.D. New planetary gear trains (PGTs) are generated using graph theory. A geared kinematic chain is converted to a graph and a graph in turn is algebraically represented by a vertex-vertex adjacency matrix. Checking for isomorphism needs to be an integral part...

... (or connections) in order to function as a whole and define component modularity based on the lack of connectivity among them. Building upon previous work in graph theory and social network analysis, we define three measures of component modularity based on the notion of centrality. Our measures consider how...

... chains graph theory matrix algebra isomorphism kinematic chains topological graph isomorphism identification canonical adjacency matrix set Graph theory ( 1 2 ) has been widely adopted for the representation of mechanisms. It is mathematically rigorous, visually intuitive, and easily...

... with any number of gears and degrees of freedom, as illustrated by the numerical examples presented. 24 05 2005 23 01 2006 gears kinematics matrix algebra couplings power transmission (mechanical) angular velocity graph theory The most commonly used method for kinematic...

... , “ On the Maximum and Minimum Velocities and Accelerations in Four-Link Mechanisms ,” Trans. ASME 0097-6822 , 78 , pp. 779 – 787 . 17 08 2004 18 08 2005 shafts product design numerical analysis graph theory crank-slider mechanism maximum velocity crank position closed-form...

.... Des. (in press). Uicker , J. J. , Jr. , Pennock , G. R. , and Shigley , J. E. , 2003 , Theory of Machines and Mechanisms , 3rd ed. , Oxford University Press, Inc. , New York. Dobrjanskyj , L. , and Freudenstein , F. , 1967 , “ Some Applications of Graph Theory...

..., graphically the digraphs, and mathematically the matrices. With the applications of graph theory, it proves that the topological characteristics of variable kinematic joints appeared with the abilities of reversibility, continuity, variability of degrees of freedom, joint homomorphism, contractibility...

...O. Shai; I. Polansky The paper brings another view on detecting the dead-point positions of an arbitrary planar pin-connected linkage by employing the duality principle of graph theory. It is first shown how the dead-point positions are derived through the interplay between the linkage and its dual...

... and the angle of the coupler link is specified at each precision position. We address only the case where the moving pivot locations are utilized as the free choices. bars couplings graph theory 31 12 2004 24 05 2005 2006 American Society of Mechanical Engineers ...