Euler Elastica Terminal Parafoil Guidance

2017 ◽  
Author(s):  
Patrick Handley ◽  
Brett J. Streetman ◽  
Matthew Neave ◽  
Keith Bergeron ◽  
Greg Noetscher
Keyword(s):  
Euler Elastica

scholarly journals Extreme deformations of the cantilever Euler Elastica under transverse aerodynamic loads

2020 ◽  
pp. 101110
Author(s):  
Diego Misseroni ◽  
Ettore Barbieri ◽  
Nicola Maria Pugno
Keyword(s):  
Aerodynamic Loads ◽  
Euler Elastica

scholarly journals Dynamics of an Euler Elastica Pipe with Internal Flow of Fluid

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 335-336 ◽  
Author(s):  
Michael Stangl ◽  
Hans Irschik
Keyword(s):  
Internal Flow ◽  
Euler Elastica

On the critical equilibrium of the spiral spring pendulum

2009 ◽  
Vol 466 (2114) ◽  
pp. 407-421 ◽  
Author(s):  
P. Coullet ◽  
J.-M. Gilli ◽  
G. Rousseaux
Keyword(s):  
Nonlinear Oscillator ◽  
Inverted Pendulum ◽  
Physical Systems ◽  
Supercritical Bifurcation ◽  
Euler Elastica ◽  
Critical Equilibrium ◽  
Spiral Spring ◽  
Joseph Larmor ◽  
Angular Amplitude ◽  
First Time

Physical systems such as an inverted pendulum driven by a spiral spring, an unbalanced Euler elastica with a travelling mass, a heavy body with a parabolic section and an Ising ferromagnet are very different. However, they all behave in the same manner close to the critical regime for which nonlinearities are prominent. We demonstrate experimentally, for the first time, an old prediction by Joseph Larmor, which states that a nonlinear oscillator close to its supercritical bifurcation oscillates with a period inversely proportional to its angular amplitude. We perform our experiments with a Holweck–Lejay-like pendulum which was used to measure the gravity field during the twentieth century.

Euler Elastica Regularized Logistic Regression for Whole-Brain Decoding of fMRI Data

2018 ◽  
Vol 65 (7) ◽  
pp. 1639-1653 ◽  
Author(s):  
Chuncheng Zhang ◽  
Li Yao ◽  
Sutao Song ◽  
Xiaotong Wen ◽  
Xiaojie Zhao ◽  
...  
Keyword(s):  
Logistic Regression ◽  
Fmri Data ◽  
Whole Brain ◽  
Brain Decoding ◽  
Euler Elastica

scholarly journals Magneto-elastic buckling of an Euler beam

2013 ◽  
Vol 469 (2155) ◽  
pp. 20130111 ◽  
Author(s):  
K. Singh ◽  
C. R. Tipton ◽  
E. Han ◽  
T. Mullin
Keyword(s):  
Magnetic Field ◽  
Elastic Beam ◽  
Separation Distance ◽  
Magnetic Interactions ◽  
Euler Beam ◽  
Euler Elastica ◽  
Close Proximity ◽  
Observed Behaviour ◽  
Nonlinear Elastic ◽  
Bifurcation Behaviour

We consider nonlinear elastic deformations of a magneto-elastic beam, using a combined experimental and theoretical approach. In the experiments, a beam had one end clamped with a magnet attached at its free end. When it was placed in an external magnetic field, it was susceptible to Euler beam buckling. However, the classic supercritical bifurcation associated with this buckling became subcritical when an attracting magnet was introduced in close proximity to the beam. To understand these experiments, we develop a model that couples the Euler elastica and dipole magnetic interactions with a uniform external field. The numerical model captures the observed behaviour well and shows that the supercritical magnetic field strength depends almost exclusively on elastic properties of the beam and strength of the permanent magnet, whereas the subcritical behaviour also depends on the separation distance between the attracting pair of magnets. We examine the bifurcation behaviour of the nonlinear system and show that for sufficiently small inter-magnet separation distances, other buckled states coexist with the fundamental mode.

scholarly journals A New Operator Splitting Method for the Euler Elastica Model for Image Smoothing

2019 ◽  
Vol 12 (2) ◽  
pp. 1190-1230 ◽  
Author(s):  
Liang-Jian Deng ◽  
Roland Glowinski ◽  
Xue-Cheng Tai
Keyword(s):  
Operator Splitting ◽  
Splitting Method ◽  
Image Smoothing ◽  
Operator Splitting Method ◽  
Euler Elastica
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