... 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 repetitive fold pattern pin-jointed 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...

... 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...

... 2010 23 09 2011 09 12 2011 09 12 2011 design engineering failure (mechanical) graph theory The early design phase can be defined as a development phase involving three main aspects: requirements engineering, functional analysis, and synthesis of the physical architecture...

...; 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 Goldrich ( 18 ) developed a machine setting...

... are also correspondent. 11 01 2009 02 09 2009 13 10 2009 cams (mechanical) couplings graph theory kinematics kinematic chain unified topological model multiple joint kinematic chain geared (cam) kinematic chains unified structure synthesis One of the most...

..., it is retained. If it does not, the corresponding circle point is purged from the design space. Thus, a paired set of candidate circle and center points is generated. 01 01 2008 19 04 2009 24 06 2009 flexible structures graph theory structural engineering Morphing or adaptive...

... in Fig. 7a . control system synthesis finite element analysis genetic algorithms graph theory grippers industrial manipulators manipulator kinematics 09 10 2007 13 06 2008 30 09 2008 Howell , L. L. , and Midha , A. , 1996 , “ A Loop-Closure Theory...

...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...

... support of NSFC under Grant No. 50575197. Biggs , N. L. , Keyth Lloyd , E. , and Wilson , R. J. , 1976 , Graph Theory , Clarendon Press , Oxford . Crossley , F. R. E. , 1964 , “ A Contribution to Cruebler’s Theory in the Number Synthesis of Planar Mechanisms ,” ASME J...

... 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...

... = tan 2 ϕ 2 . 17 08 2004 18 08 2005 shafts product design numerical analysis graph theory crank-slider mechanism maximum velocity crank position closed-form solution Freudenstein’s theorem The crank position corresponding to the maximum velocity (MV...

... and provides an alternative technique to the synthesis of structures and mechanisms. To simplify the design process, the synthesis problem can be transformed from the given system to the dual system in a straightforward manner. graph theory duality (mathematics) statics mechanical stability couplings...

..., 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...

... couplings graph theory Several popular kinematics textbooks ( 1 2 3 4 ) provide graphical methods for synthesizing four-bar linkages to pass through two or three precision positions. We address the popular problem of motion generation, where the position of a point on the coupler link...

...Carl A. Nelson; Raymond J. Cipra A kinematic analysis technique is introduced to find the angular velocities of all links in bevel epicyclic gear trains. The method relies on previous work in graph theory. It improves on existing techniques used for analysis of planar geared mechanisms in its...