scholarly journals Ecomorphology reveals Euler spiral of mammalian whiskers

2020 ◽  
Vol 281 (10) ◽  
pp. 1271-1279 ◽  
Author(s):  
Gary Dougill ◽  
Eugene L. Starostin ◽  
Alyx O. Milne ◽  
Gert H. M. Heijden ◽  
Victor G. A. Goss ◽  
...  
Keyword(s):  
Euler Spiral

Chapter One. The Euler Spiral

2019 ◽  
pp. 1-14
Keyword(s):  
Euler Spiral

An Improved Euler Spiral Algorithm for Shape Completion

2008 ◽  
Author(s):  
D.J. Walton ◽  
D.S. Meek
Keyword(s):  
Shape Completion ◽  
Euler Spiral

A Preliminary Study of Active Stabilization for Agricultural Machines Using a Movable Mass

2019 ◽  
Author(s):  
Marco Bietresato ◽  
Roberto Belotti ◽  
Karl D. von Ellenrieder ◽  
Fabrizio Mazzetto
Keyword(s):  
Vehicle Stability ◽  
Stabilization System ◽  
Additional Mass ◽  
Track Width ◽  
Active Stabilization ◽  
Preliminary Study ◽  
Turning Radius ◽  
Euler Spiral ◽  
Agricultural Machines ◽  
High Center

Abstract Side overturning is a potentially dangerous phenomenon that can easily happen to agricultural machines because they typically have a high center-of-gravity (CoG) and a very narrow track-width (e.g., tractors operating in orchards). Overturning occurs when the direction of the resultant of the forces acting on the vehicle CoG intercepts the support plane outside of the “support polygon”, defined by taking the footprints of the vehicle wheels as its vertices. Here, we propose the use of a stabilization system that shifts the CoG position to ensure that the resultant force stays within the support polygon. This active stabilization is accomplished by equipping the vehicle with an additional mass that can be moved using an actuator. Using numerical simulations of a four-wheeled narrow-track tractor moving along a trajectory at constant speed, we characterize how the position of the movable mass affects vehicle stability under a quasi-static assumption. The path is a horizontal Euler spiral, having a continuously varying turning radius. The simulations are used to: (i) analyze the sensitivity of four metrics related to the vehicle stability with respect to the additional weight of the moveable mass and the position of the stabilization system, and (ii) find an optimal configuration of the stabilization system that will improve the operational limits of the vehicle.

Deployable Euler Spiral Connectors

2021 ◽  
pp. 1-17
Author(s):  
Collin Ynchausti ◽  
Nathan Brown ◽  
Spencer P Magleby ◽  
Anton E. Bowden ◽  
Larry L Howell
Keyword(s):  
Experimental Data ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Compliant Mechanisms ◽  
Element Analysis ◽  
Spinal Implant ◽  
In Series ◽  
Euler Spiral ◽  
Analytic Models

Abstract Deployable Euler Spiral Connectors (DESCs) are introduced as compliant deployable flexures that can span gaps between segments in a mechanism and then lay flat when under strain in a stowed position. This paper presents models of Euler spiral beams combined in series and parallel that can be used to design compact compliant mechanisms. Constraints on the design of DESCs are also presented. Analytic models were compared to finite element analysis and experimental data. A spinal implant and a linear ratcheting system are presented as illustrative applications of DESCs.

Euler Spiral for Shape Completion

2000 ◽  
pp. 289-309 ◽  
Author(s):  
Benjamin B. Kimia ◽  
Ilana Frankel ◽  
Ana-Maria Popescu
Keyword(s):  
Shape Completion ◽  
Euler Spiral

The Euler Spiral

2019 ◽  
pp. 1-14
Keyword(s):  
Euler Spiral

scholarly journals The Euler spiral of rat whiskers

2020 ◽  
Vol 6 (3) ◽  
pp. eaax5145
Author(s):  
Eugene L. Starostin ◽  
Robyn A. Grant ◽  
Gary Dougill ◽  
Gert H. M. van der Heijden ◽  
Victor G. A. Goss
Keyword(s):  
Analytical Study ◽  
Growth Form ◽  
Search Space ◽  
Mathematical Equation ◽  
Form And Function ◽  
Mystacial Vibrissae ◽  
And Function ◽  
Euler Spiral ◽  
Insight Into ◽  
Gaining Insight

This paper reports on an analytical study of the intrinsic shapes of 523 whiskers from 15 rats. We show that the variety of whiskers on a rat’s cheek, each of which has different lengths and shapes, can be described by a simple mathematical equation such that each whisker is represented as an interval on the Euler spiral. When all the representative curves of mystacial vibrissae for a single rat are assembled together, they span an interval extending from one coiled domain of the Euler spiral to the other. We additionally find that each whisker makes nearly the same angle of 47∘ with the normal to the spherical virtual surface formed by the tips of whiskers, which constitutes the rat’s tactile sensory shroud or “search space.” The implications of the linear curvature model for gaining insight into relationships between growth, form, and function are discussed.

Investigation of Euler spiral nanoantenna and its application in absorption enhancement of thin film solar cell

2018 ◽  
Vol 50 (11) ◽  
Author(s):  
Abhishek Pahuja ◽  
Manoj Singh Parihar ◽  
V. Dinesh Kumar
Keyword(s):  
Thin Film ◽  
Solar Cell ◽  
Thin Film Solar Cell ◽  
Absorption Enhancement ◽  
Euler Spiral
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