Motion of a Rigid Body under Random Perturbation

RNG Rigid Body Motion

This note outlines how the coupling between the motion of rigid bodies immersed in a fluid and the motion of this fluid is handled in XNS. For a rigid body one has a group of nodes which define the surface of the rigid body called “reference node group” (RNG). For each RNG we save the properties of motion in arrays which in the following we will call “RNG arrays”. They contain the bottom and to...

Non-Rigid Body Motion

During the last few years motion analysis has developed into a major field of interest in image analysis and understanding . Considerable progress has been made as evidenced by the number of publications . However , most of these have been confined to the study of rigid body mot ion . Very few have addressed the issue of non-rigid body motion which poses many interesting and difficult problems ...

Distribution of lateral active earth pressure on a rigid retaining wall under various motion modes

The design of retaining walls depends on the magnitude of active pressure exerted from the backfill. Therefore, estimating the scale of this pressure is a fundamental factor in the design. In this study, to assess the active earth pressure, a rigid retaining wall was built capable of translating and/or rotating with adjustable speed. Further, several physical tests were conducte...

The Lagrange rigid body motion

Shape matching under rigid motion

We present improved algorithms to match two polygonal shapes P and Q to approximate their maximum overlap. Let n be their total number of vertices. Our first algorithm finds a translation that approximately maximizes the overlap area of P and Q under translation in Õ(n2ε−3) time. The error is additive and it is at most ε · min{area(P ), area(Q)} with probability 1 − n−O(1). We also obtain an al...