On Extensional Oscillations and Waves in Elastic Rods

1998 ◽  
Vol 3 (3) ◽  
pp. 277-295 ◽  
Author(s):  
Shankar Krishnaswamy ◽  
R. C. Batra
Keyword(s):  
Elastic Rods ◽  
Oscillations And Waves

Strain pulse propagation in composite elastic rods

Composites ◽  
1970 ◽  
Vol 1 (3) ◽  
pp. 190
Author(s):  
V.K Varatharajulu ◽  
I Kayek Sabih
Keyword(s):  
Pulse Propagation ◽  
Elastic Rods ◽  
Strain Pulse

Modeling and numerical treatment of elastic rods with frictionless self-contact

2009 ◽  
Vol 198 (47-48) ◽  
pp. 3751-3764 ◽  
Author(s):  
Mourad Chamekh ◽  
Saloua Mani-Aouadi ◽  
Maher Moakher
Keyword(s):  
Elastic Rods ◽  
Numerical Treatment

scholarly journals Spatially complex localisation in twisted elastic rods constrained to a cylinder

2002 ◽  
Vol 39 (7) ◽  
pp. 1863-1883 ◽  
Author(s):  
G.H.M. van der Heijden ◽  
A.R. Champneys ◽  
J.M.T. Thompson
Keyword(s):  
Elastic Rods

scholarly journals Observational aspects of prominence oscillations

2007 ◽  
Vol 3 (S247) ◽  
pp. 152-157 ◽  
Author(s):  
Oddbjørn Engvold
Keyword(s):  
Magnetic Structure ◽  
Numerical Models ◽  
Small Scale ◽  
Solar Prominences ◽  
Scale Structures ◽  
Oscillations And Waves ◽  
Available Information ◽  
Small Scale Structures

AbstractSeismology has become a powerful tool in studies of the magnetic structure of solar prominences and filaments. Reversely, analytical and numerical models are guided by available information about the spatial and thermodynamical structure of these enigmatic structures. The present invited paper reviews recent observational results on oscillations and waves as well as details about small-scale structures and dynamics of prominences and filaments.

Numerical exploration on snap buckling of a pre-stressed hemispherical gridshell

2021 ◽  
pp. 1-11
Author(s):  
Weicheng Huang ◽  
Longhui Qin ◽  
Qiang Chen
Keyword(s):  
Three Dimensional ◽  
Energy Functional ◽  
Elastic Rods ◽  
Geometrically Nonlinear ◽  
Local Response ◽  
Micro Electro Mechanical Systems ◽  
One Dimensional ◽  
Numerical Exploration ◽  
Planar Grid ◽  
Fundamental Understanding

Abstract Motivated by the observations of snap-through phenomena in pre-stressed strips and curved shells, we numerically investigate the snapping of a pre-buckled hemispherical gridshell under apex load indentation. Our experimentally validated numerical framework on elastic gridshell simulation combines two components: (i) Discrete Elastic Rods method, for the geometrically nonlinear description of one dimensional rods; and (ii) a naive penalty-based energy functional, to perform the non-deviation condition between two rods at joint. An initially planar grid of slender rods can be actuated into a three dimensional hemispherical shape by loading its extremities through a prescribed path, known as buckling induced assembly; next, this pre-buckled structure can suddenly change its bending direction at some threshold points when compressing its apex to the other side. We find that the hemispherical gridshell can undergo snap-through buckling through two different paths based on two different apex loading conditions. The first critical snap-through point slightly increases as the number of rods in gridshell structure becomes denser, which emphasizes the mechanically nonlocal property in hollow grids, in contrast to the local response of continuum shells. The findings may bridge the gap among rods, grids, knits, and shells, for a fundamental understanding of a group of thin elastic structures, and inspire the design of novel micro-electro-mechanical systems and functional metamaterials.

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