This paper investigates the stiffness characteristics of spherical parallel manipulators. By virtue of singular value decomposition, the 6×6 dimensionally inhomogeneous Cartesian stiffness matrix is transformed into two homogeneous ones, i.e., the rotational and translational stiffness matrices. The decomposed singular values and the corresponding vectors indicate the directions of high/weak st...

An approximate formula is derived and implemented in the general effective fragment potential (EFP2) method to model the intermolecular charge transfer interaction. This formula is based on second order intermolecular perturbation theory and utilizes canonical molecular orbitals and Fock matrices obtained with preparative self-consistent field calculations. It predicts charge transfer energies ...

let a; b; k 2 k and u ; v 2 u(k). we show for any idempotent e 2 k, ( a 0 b 0 ) is e-clean i ( a 0 u(vb + ka) 0 ) is e-clean and if ( a 0 b 0 ) is 0-clean, ( ua 0 u(vb + ka) 0 ) is too.

Motivated by the problem of stability in droop-controlled microgrids with delays, we consider a class of port-Hamiltonian systems with delayed interconnection matrices. For this class of systems, delaydependent stability conditions are derived via the Lyapunov–Krasovskii method. The theoretical results are applied to an exemplary microgrid with distributed rotational and electronic generation a...

Software compensation of geometric errors in coordinate measuring is hot subject because it results the decrease of manufacturing costs. The paper gives a summary of the results and achievements of earlier works on the subject. In order to improve these results a method is adapted to capture simultaneously the new coordinate frames in order use exact transformation values at discrete points of ...

In this paper, vibration analysis of multiple-stepped Bernoulli-Euler and Timoshenko beams carrying point masses is presented analytically for various boundary conditions. Each attached element is considered to have both translational and rotational inertias. The method of solution is “transfer matrix method” which is based on the changes in the vibration modes at the vicinity of any discontinu...

An extensive data set of 54 time-resolved pump-probe measurements was used to examine CO + He rotational energy transfer within the CO v = 2 rotational manifold. Rotational levels in the range Ji = 2-9 were excited and collisional energy transfer of population to the levels Jf = 1-10 was monitored. The resulting data set was analyzed by fitting to numerical solutions of the master equation. Sta...

In this paper, a model of a leader-follower spacecraft formation in six degrees of freedom is derived and presented. The nonlinear model describes the relative translational and rotational motion of the spacecraft, and extends previous work by providing a more complete factorization, together with detailed information about the matrices in the model. In addition, mathematical models of orbital ...

Title ofprogram: TRIATOM Method of solution A basis is constructed as a product of radial (either Morse Catalogue number: AALO oscillator-like or spherical oscillator) functions and associated Legendre polynomials for the bending coordinate, with rotaProgram obtainable from: CPC Program Library, Queen’s Unition matrices carrying the rotational motion. A secular matrix versity of Belfast, N. Ire...

Abstract: Software compensation of geometric errors in coordinate measuring is hot subject beause it results the descrease of manufturing costs. The papergives a summary of the results and achivements of earlier works on the subject. In order to improve these results a methode is adapted to capture simultaneously the new coordinate frames in order use exact transformation values at discrete poi...