In formulating the stability problem for an infinite chain of cars, state space is traditionally taken to be the Hilbert space `, wherein the displacements of cars from their equilibria, or the velocities from their equilibria, are taken to be square summable. But this obliges the displacements or velocity perturbations of cars that are far down the chain to be vanishingly small and leads to an...

We have developed a method for measuring the electrophoretic mobility of submicrometer, fluorescently labeled particles and the electroosmotic mobility of a microchannel. We derive explicit expressions for the unknown electrophoretic and the electroosmotic mobilities as a function of particle displacements resulting from alternating current (AC) and direct current (DC) applied electric fields. ...

Rotation strain, caused by twisting of the knee. If weight is being borne on the flexed knee with the foot firmly anchored to the ground, the force of the injury in addition to stretching or tearing the coronary ligaments may cause a split or fracture of the semilunar cartilage. When no weight is borne, or if the foot be not held, the semilunar may escape. The modern football boot, with good st...

Recovering 3-D motion parameters from 2-D displacements is a di cult task, given the in uence of noise contained in these data, which correspond at best to a crude approximation of the real motion eld. The need for stability of the system of equations to solve is therefore essential. In this paper, we present a novel method based on an unbiased estimator that aims at enhancing this stability an...

abstract: this paper presents the results of pullout tests on uniaxial geogrid embedded in silica sand under monotonic and cyclic pullout forces. the new testing device as a recently developed automated pullout test device for soil-geogrid strength and deformation behavior investigation is capable of applying load/displacement controlled monotonic/cyclic forces at different rates/frequencies an...

Static grasping of a spherical object by two robot fingers is studied in this paper. The fingers may be rigid bodies or elastic beams, they may grasp the body with various orientation angles, and the tightening displacements may be linear or angular. Closed-form solutions for normal and tangential contact forces due to tightening displacements are obtained by solving compatibility equations, fo...

It is well known that real points of the Study quadric (sliced along a 3-dimensional generator space) correspond to displacements of the Euclidean 3-space. But we still lack of a kinematic meaning for the points of the ambient 7-dimensional projective space P7. This paper gives one possible interpretation in terms of displacements of the Euclidean 4-space. From this point of view we also discus...