The post-buckling response of a bi-laterally constrained column

Chai, Herzl

doi:10.1016/s0022-5096(98)00004-0

Cited by 91 publications

(79 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The reshuffle of the straight sections, however, does affect the modal transition point which dictates the instability of the straight section. Such an effect of asymmetry on buckling mode transition was first noted by Chai [3] and then Pocheau & Roman [11], who provided the upper and lower limits for modal transition. In this study, figure 4 illustrates the upper limit and lower limit for the transition from mode 2 to mode 3.…”

Section: Symmetric Versus Non-symmetric Models: Upper and Lower Limitsmentioning

confidence: 70%

“…The schematic of a two-dimensional model with linear elastic response is shown in figure 2, which is inspired by the results of Chai [3,4] and is used to represent the axial skeleton of a snake [9,10]. An elastic beam of length L 0 and radius r is initially placed in the middle of two parallel walls.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…The beam stays at the current buckling mode until one of the straight sections gets buckled according to [3]:…”

Section: Theoretical Analysismentioning

confidence: 99%

See 2 more Smart Citations

Buckling morphology of an elastic beam between two parallel lateral constraints: implication for a snake crawling between walls

Xiao

Chen

2013

J. R. Soc. Interface.

View full text Add to dashboard Cite

A snake crawling on horizontal surfaces between two parallel walls exhibits a unique wave-like shape, which is different from the normal shape of a snake crawling without constraints. We propose that this intriguing system is analogous to a buckled beam under two lateral constraints. A new theoretical model of beam buckling, which is verified by numerical simulation, is firstly developed to account for the special boundary conditions. Under this theoretical model, the effect of geometrical parameters on the deformation shape, such as the distance between walls, length of the snake and radius of the snake, is examined. The buckling beam model is then applied to explain qualitatively the wave-like shape of the snake.

show abstract

Section: Symmetric Versus Non-symmetric Models: Upper and Lower Limitsmentioning

confidence: 70%

Section: Theoretical Modelmentioning

confidence: 99%

See 1 more Smart Citation

Buckling morphology of an elastic beam between two parallel lateral constraints: implication for a snake crawling between walls

Xiao

Chen

2013

J. R. Soc. Interface.

View full text Add to dashboard Cite

show abstract

“…Thus the root lateral confining medium must be taken into account, since it plays a role both in the buckling force threshold and in the way the root is deflected (post-buckling shape). Model experiments with mechanical root-analogous rod devices are needed to better understand the bending and post-buckling of embedded elongated objects in confining medium, whatever they are, gels [135], frictional tube [136,137], or even granular media [138,139].…”

Section: A) Reorientation Of Root Growth Direction Through Lasting Comentioning

confidence: 99%

Physical root–soil interactions

2017

View full text Add to dashboard Cite

Abstract. Plant root system development is highly modulated by the physical properties of the soil and especially by its mechanical resistance to penetration. The interplay between the mechanical stresses exerted by the soil and root growth is of particular interest for many communities, in agronomy and soil science as well as in biomechanics and plant morphogenesis. In contrast to aerial organs, roots apices must exert a growth pressure to penetrate strong soils and reorient their growth trajectory to cope with obstacles like stones or hardpans or to follow the tortuous paths of the soil porosity. In this review, we present the main macroscopic investigations of soil-root physical interactions in the field and combine them with simple mechanistic modeling derived from model experiments at the scale of the individual root apex.2

show abstract

“…Ha [11] studied the rigid constrained buckling of the elastic column in a rigid tube when the point contact and line contact occur, using the calculation model like Domokos's [10]. Chai [12] carried out the theoretical analysis and experimental test on the post-buckling behavior of the compressed elastic column between two straight, rigid and frictionless side-walls in 1998, and obtained the similar force-displacement curve as given in the reference [10]. Shen and Deng [13][14] proposed the mechanical model when the line contact occurs between the core plate and the flexible outer tube.…”

Section: Introductionmentioning

confidence: 99%

Restrained Buckling Behavior of Core Component in Buckling-Restrained Braces

Wu¹,

Liang²,

Wang³

et al. 2012

Volume 8 Number 3

View full text Add to dashboard Cite

ABSTRACT:In order to investigate the bending moment of the core plate as well as the contact force between the core plate and the restraining component of a Buckling-Restrained Brace member, focus is set to the multi-wave buckling behavior of the core plate under increasing axial load. Based on the equilibrium equation of a segment subjected to axial and lateral forces, equations are derived to describe the deflection curve, the distribution of the moment of the core plate and the contact force. Discussion about these equations reveals the process of multi-wave buckling of the core plate, which is different with that of a free buckling without the lateral restraining component. The core plate experiences point contact, line contact and new wave generation repeatedly, and the axial loads corresponding to different states are given. A calculation example illustrates that the derived equations agree with numerical results, and an experimental result is used to verify the equations.

show abstract

The post-buckling response of a bi-laterally constrained column

Cited by 91 publications

References 11 publications

Buckling morphology of an elastic beam between two parallel lateral constraints: implication for a snake crawling between walls

Buckling morphology of an elastic beam between two parallel lateral constraints: implication for a snake crawling between walls

Physical root–soil interactions

Restrained Buckling Behavior of Core Component in Buckling-Restrained Braces

Contact Info

Product

Resources

About