In this paper, stiffness of planar translational wire-actuated parallel manipulators is studied. The complete form of the stiffness matrix of the two degrees of freedom manipulators is formulated parametrically. The differential form of the static force balance equations is used to incorporate the variation of wire stiffness with wire length and the change in the Jacobian matrix under external ...

This paper builds on the authors’ planar kinematic synthesis for contact task specifications and formulates the kinematic specification of the synthesis problem for spatial open-serial chains in which a desired acceleration of the endeffector is specified. Applications of this research focus on the design of spatial linkages to maintain specified local motion. A recently developed failure recov...

Identifying deformation and pre-failure mechanisms preceding faulting is key for fault mechanics interpreting precursors to rupture. This study presents the results of a new robust derivation first motion polarity focal mechanism solutions (FMS) applied acoustic emission (AE). FMS are solved using least squares minimization fit between projected measurements deviatoric stress field induced by d...


 We introduce a notion of planar algebra, the simplest example which is vector space tensors, closed under contractions. A algebra with suitable positivity properties produces finite index subfactor II1 factor, and vice versa.

let $a$ be a non-trivial abelian group and $a^{*}=asetminus {0}$. a graph $g$ is said to be $a$-magic graph if there exists a labeling$l:e(g)rightarrow a^{*}$ such that the induced vertex labeling$l^{+}:v(g)rightarrow a$, define by $$l^+(v)=sum_{uvin e(g)} l(uv)$$ is a constant map.the set of all constant integerssuch that $sum_{uin n(v)} l(uv)=c$, for each $vin n(v)$,where $n(v)$ denotes the s...

the crystal structure of the title schiff base complex is obtained by single-crystal x-ray diffraction data.the solid state structure determination reveals that the coordination geometry around the copper(ii) center istetrahedrally distorted square-planar. the crystal packing shows one dimensional infinite chains which arisesfrom the intermolecular interaction and stabilize the crystal packing.