in the cases of one rigid an the other stress-free (also called slip-free) boundaries,RF, and both stress-freeFFboundaries, for completeness we also add the results for rigidRRboundaries. We also consider a case of a parabolic laminar flow where we assign the velocity at the bottom and ...
Convexity-Preserving Rigid Motions of 2D Digital Objects 73 3.1 Definitions First of all, we introduce the definition of Minsky and Papert [18], called MP- convexity, which is a straightforward extension of the continuous notion. Definition 3. A digital object X is MP-convex if for any pair...
Because there now is a plane of impact, as opposed to line of impact for two-dimensional impact, determining slide, stick, or reverse slide motions on the impact plane becomes more complex. Therefore, first- and second-order models are more widely used. Jia [18] models vertical and ...
We calculate the constraint forces, apply these forces on the bodies together with the external forces, and integrate them using the methods we described in Part I to simulate the resulting motions. There is, however, another technique that is very popular among game physics engines, which takes...
Zhihui Wang, Chao Li& Jinlin Xu 100Accesses 3Altmetric Explore all metrics Abstract This paper focuses on the stability of three homodromy vibrators in a vibrating system with two rigid frames (RFs). The motion differential equations of the system are established. Using the average method yields...
An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor Motions. Sustainability 2023, 15, 2418. https://doi.org/10.3390/su15032418 AMA Style Liu H, Huang Y, Liu X. An Intensity Measure for the Rocking Fragility Analysis of Rigid Blocks Subjected to Floor ...
Such problems are coupled: deflection of the floating ice plate, flow under the ice, and the motions of the structure should be determined at the same time. A vertical rigid plate built-in a floating ice sheet could be the simplest model of ice/water/structure interaction. This problem is ...
The results show that with some parameters three systems exhibit a very similar dynamic behavior, i.e., quasi-periodic and even chaotic motions. Keywords: parametric pendulum; Lyapunov exponents; quasi-periodic behavior; Chaos1. Introduction Mechanical engineering or other fields always require ...
The results show that with some parameters three systems exhibit a very similar dynamic behavior, i.e., quasi-periodic and even chaotic motions. Keywords: parametric pendulum; Lyapunov exponents; quasi-periodic behavior; Chaos1. Introduction Mechanical engineering or other fields always require ...