Topic
Vertex angle
About: Vertex angle is a research topic. Over the lifetime, 589 publications have been published within this topic receiving 7296 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: In this paper, the authors investigated three boundary conditions on the radial edges: free-free, clamped-clamped, and clamped free, and showed that the free free extensional plate behaves locally at the origin exactly the same as a clampedclamped plate in bending, independent of Poisson's ratio.
Abstract: As an analog to the bending case published in an earlier paper, the stress singularities in plates subjected to extension in their plane are discussed. Three sets of boundary conditions on the radial edges are investigated: free-free, clamped-clamped, and clamped-free. Providing the vertex angle is less than 180 degrees, it is found that unbounded stresses occur at the vertex only in the case of the mixed boundary condition with the strength of the singularity being somewhat stronger than for the similar bending case. For vertex angles between 180 and 360 degrees, all the cases considered may have stress singularities.
In amplification of some work of Southwell, it is shown that there are certain analogies between the characteristic equations governing the stresses in extension and bending, respectively, if ν, Poisson's ratio, is replaced by -ν. Finally, the free-free extensional plate behaves locally at the origin exactly the same as a clamped-clamped plate in bending, independent of Poisson's ratio.
In conclusion, it is noted that the free-free case analysis
may be applied to stress concentrations in V-shaped
notches.
2,436 citations
TL;DR: In this paper, a galloping-based piezoelectric energy harvester (GPEH) with triangular cross-section bluff bodies with different vertex angles is investigated, and the aerodynamic characteristics are determined by Computational Fluid Dynamics (CFD) and verified by experimental data.
228 citations
TL;DR: In this paper, the authors describe a parameter used to quantify the regularity of two-dimensional Voronoi tessellations based upon assemblies of hard core discs, which may vary continuously from zero to one, for a completely random Poisson Voroni Tessellation, to one for a fully ordered regular hexagonal honeycomb.
Abstract: We describe a parameter used to quantify the regularity of two-dimensional Voronoi tessellations based upon assemblies of ‘hard-core’ discs. The value of this parameter may vary continuously from zero, for a completely random Poisson Voronoi tessellation, to one, for a fully ordered regular hexagonal honeycomb. For various values of this parameter, 105 Voronoi cells are simulated and the statistical distributions of the number of sides per cell, the cell vertex angles, the cell edge lengths, the cell perimeters and the cell areas are each derived. The mean perimeters, areas and numbers of sides in the neighbouring cells are also investigated for n-sided cells in these tessellations. We find that, for all except the cell vertex angle distributions, the data can be adequately described by fitting either to existing models or, in the cases of the mean perimeters and mean areas of n-sided cells, to models which we propose.
156 citations
TL;DR: An on-line strategy that enables a mobile robot with vision to explore an unknown simple polygon is presented and it is proved that the resulting tour is less than 26.5 times as long as the shortest watchman tour that could be computed off-line.
Abstract: We present an on-line strategy that enables a mobile robot with vision to explore an unknown simple polygon. We prove that the resulting tour is less than 26.5 times as long as the shortest watchman tour that could be computed off-line.
Our analysis is doubly founded on a novel geometric structure called angle hull. Let D be a connected region inside a simple polygon, P. We define the angle hull of D, ${\cal AH}(D)$, to be the set of all points in P that can see two points of D at a right angle. We show that the perimeter of ${\cal AH}(D)$ cannot exceed in length the perimeter of D by more than a factor of 2. This upper bound is tight.
135 citations
TL;DR: In this article, the direction of fracture initiation for in-plane shear load was found to be away from the line that bisects the notch, and the fracture angle decreases from ± 70.5° to ± 52.0° as the half notch angle is increased from 0° to 60°.
128 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 4 |
| 2020 | 25 |
| 2019 | 17 |
| 2018 | 28 |
| 2017 | 21 |
| 2016 | 19 |