scholarly journals The Assouad dimension of self-affine carpets with no grid structure

2017 ◽  
Vol 145 (11) ◽  
pp. 4905-4918 ◽  
Author(s):  
Jonathan M. Fraser ◽  
Thomas Jordan
Keyword(s):  
Grid Structure ◽  
Assouad Dimension

Independent Grid Structure-Based Routing Protocol in Wireless Sensor Networks

2013 ◽  
Vol E96.B (1) ◽  
pp. 309-312 ◽  
Author(s):  
Euisin LEE ◽  
Soochang PARK ◽  
Hosung PARK ◽  
Sang-Ha KIM
Keyword(s):  
Wireless Sensor Networks ◽  
Sensor Networks ◽  
Routing Protocol ◽  
Wireless Sensor ◽  
Grid Structure

scholarly journals Assessment of the Piezoelectric Response of an Epoxy Resin/SbSINanowires Composite Filling FDM Printed Grid

Materials ◽  
2020 ◽  
Vol 13 (22) ◽  
pp. 5281
Author(s):  
Mateusz Kozioł ◽  
Piotr Szperlich ◽  
Bartłomiej Toroń ◽  
Piotr Olesik ◽  
Marcin Jesionek
Keyword(s):  
Dynamic Stress ◽  
Piezoelectric Effect ◽  
Wide Spectrum ◽  
Piezoelectric Response ◽  
Monitoring Systems ◽  
Grid Structure ◽  
Voltage Signal ◽  
Antimony Sulfoiodide ◽  
Deposition Modeling ◽  
Applied Design

This paper shows a piezoelectric response from an innovative sensor obtained by casting epoxy-SbSI (antimony sulfoiodide) nanowires nanocomposite to a grid structure printed using a fuse deposition modeling (FDM) method. The grid is shown to be a support structure for the nanocomposite. The applied design approach prospectively enables the formation of sensors with a wide spectrum of shapes and a wide applicability. The voltage signal obtained as a result of the piezoelectric effect reached 1.5V and 0.5V under a maximum static stress of 8.5 MPa and under a maximum dynamic stress of 22.3 kPa, respectively. These values are sufficient for potential application in sensor systems. The effect of a systematic increase in the voltage signal with subsequent cycles was also observed, which similarly allows the use of these sensors in monitoring systems for structures exposed to unfavorable cyclical loads. The obtained results also show that the piezoelectric signal improves with increase in strain rate.

scholarly journals Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line

2020 ◽  
pp. 1-31
Author(s):  
Balázs Bárány ◽  
Károly Simon ◽  
István Kolossváry ◽  
Michał Rams
Keyword(s):  
Hausdorff Measure ◽  
Similar Case ◽  
Iterated Function Systems ◽  
The Self ◽  
Dimensional Hausdorff Measure ◽  
Assouad Dimension ◽  
Iterated Function ◽  
Self Similar ◽  
Weak Separation ◽  
Topological Sense

This paper considers self-conformal iterated function systems (IFSs) on the real line whose first level cylinders overlap. In the space of self-conformal IFSs, we show that generically (in topological sense) if the attractor of such a system has Hausdorff dimension less than 1 then it has zero appropriate dimensional Hausdorff measure and its Assouad dimension is equal to 1. Our main contribution is in showing that if the cylinders intersect then the IFS generically does not satisfy the weak separation property and hence, we may apply a recent result of Angelevska, Käenmäki and Troscheit. This phenomenon holds for transversal families (in particular for the translation family) typically, in the self-similar case, in both topological and in measure theoretical sense, and in the more general self-conformal case in the topological sense.

Development of highly reliable advanced grid structure (HRAGS) demonstrator using FBG sensors

2008 ◽  
Author(s):  
H. Takeya ◽  
K. Sekine ◽  
M. Kume ◽  
T. Ozaki ◽  
N. Takeda ◽  
...  
Keyword(s):  
Grid Structure ◽  
Fbg Sensors
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