An analytical analysis of a compressed bistable buckled beam

Vangbo, Mattias

doi:10.1016/s0924-4247(98)00097-1

Cited by 210 publications

(143 citation statements)

References 2 publications

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“…Two classical displacement based boundary conditions, used for stress and deflection analysis of beam, are fixed-free and simply supported. Many other boundary conditions, such as fixed-simply supported [61], clamped-clamped [59,91,96,98,110,119], hinged-clamped [92], simply supported-elastically restrained [16,76], hinged-hinged [103], stiffened lateral ends [68], are also prescribed for deflection analysis of beam structures. These different types of classical and nonconventional boundary conditions of beams are shown in Fig.…”

Section: Boundary Conditionmentioning

confidence: 99%

“…4, under transverse [59] and axial [119] loading. In snap through buckling the transverse load "snaps through" when load reaches at a critical value.…”

Section: Snap-through Buckling and Initial Imperfectionmentioning

confidence: 99%

“…Bifurcation buckling under such loading is also possible if the thickness of beam is much higher than the width, but such cases are rarely encountered in real life applications. For deeper arches multiple snap through modes [122] with anti-symmetric behavior is possible and sometimes this is prevented by using two beams in parallel [119] where any possible friction force within the layer has been prevented.…”

Section: Snap-through Buckling and Initial Imperfectionmentioning

confidence: 99%

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A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Ghuku

Saha

2017

IJET

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Abstract. The paper presents a review on large deflection behavior of curved beams, as manifested through the responses under static loading. The term large deflection behavior refers to the inherent nonlinearity present in the analysis of such beam system response. The analysis leads to the field of geometric nonlinearity, in which equation of equilibrium is generally written in deformed configuration. Hence, the domain of large deflection analysis treats beam of any initial configuration as curved beam. The term curved designates the geometry of center line of beam, distinguishing it from the usual straight or circular arc configuration. Different methods adopted by researchers, to analyze large deflection behavior of beam bending, have been taken into consideration. The methods have been categorized based on their application in various formats of problems. The nonlinear response of a beam under static loading is also a function of different parameters of the particular problem. These include boundary condition, loading pattern, initial geometry of the beam, etc. In addition, another class of nonlinearity is commonly encountered in structural analysis, which is associated with nonlinear stress-strain relations and known as material nonlinearity. However the present paper mainly focuses on geometric nonlinear analysis of beam, and analysis associated with nonlinear material behavior is covered briefly as it belongs to another class of study. Research works on bifurcation instability and vibration responses of curved beams under large deflection is also excluded from the scope of the present review paper.

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Section: Boundary Conditionmentioning

confidence: 99%

“…4, under transverse [59] and axial [119] loading. In snap through buckling the transverse load "snaps through" when load reaches at a critical value.…”

Section: Snap-through Buckling and Initial Imperfectionmentioning

confidence: 99%

Section: Snap-through Buckling and Initial Imperfectionmentioning

confidence: 99%

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A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Ghuku

Saha

2017

IJET

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“…The maximum force needed to snap from one stable state to another was derived by Vangbo [22] for a clamped-clamped beam and he concluded that by taking into account the contraction of the beam, the maximum snap-through force and the activation energy were both lower. Additionally, snap-through behaviour has been found to be asymmetric if the beams are hinged [13,18].…”

Section: 21mentioning

confidence: 99%

Modelling of the buckling of a diaphragm–spine structure for a wave energy converter

Collins

Meng

et al. 2017

Materials & Design

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A wide range of wave energy converter (WEC) designs exists, and the SeaWave WEC uses an unstable buckled spine mode of operation. The SeaWave consists of a hose and buckled spine-diaphragm, which pumps air along the device under wave action. A physical model and finite element analysis (FEA) is compared to a previous theoretical model in this paper. The FE model was developed in ABAQUS 6.14 using shell, solid and contact elements and the analysis was done with a quasi-static approach to reduce the computational costs. The physical model was a scale version of the novel arrangement of the spine and diaphragm made from steel, polycarbonate and latex rubber. Geometry of the deformed device was investigated results showed an increase in transverse and longitudinal curvature as the compression rate increased. The FEA tended to overestimate the bending stiffness of the model, and hence the transverse curvature, because certain behaviours of the physical model were not captured. The force required to switch from one buckled state to another was measured both in the physical and FEA models and the potential energy storage was estimated to be 0.5 J/m of device at a compression rate of 0.1%.

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“…A classical formulation is the Euler-Bernouilli equation [11] [12] where the equilibrium equation can be written as a fourth order spatial derivative of the lateral displacement w(x):…”

Section: Static Bucklingmentioning

confidence: 99%

In-plane bistable nanowire for memory devices

Charlot¹,

Sun

Yamashita

et al. 2008

2008 Symposium on Design, Test, Integration and Packaging of MEMS/MOEMS

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Abstract-We present a micromechanical device designed to be used as a non-volatile mechanical memory. The structure is composed of a suspended slender nanowire (width: 100nm, thickness: 430nm, length: 8 to 30µm) clamped at both ends. Electrodes are placed on each side of the nanowire to 1) actuate the structure during the data writing and erasing mode and 2) determine its position by measuring the capacitive bridge in the reading mode. The structure is patterned by electron beam lithography on a pre-stressed thermally grown silicon dioxide layer. When later released by plasma etching, the stressed material relaxes and the beam buckles by itself to a position of lower energy. These symmetric bistable Euler beams exhibit two stable deformed. This paper presents the microfabrication process and the analysis of the static buckling of nanowires. Snapping of these nanowires from one stable position to another by mechanical or electrical means will also be discussed.

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An analytical analysis of a compressed bistable buckled beam

Cited by 210 publications

References 2 publications

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

A Review on Stress and Deformation Analysis of Curved Beams under Large Deflection

Modelling of the buckling of a diaphragm–spine structure for a wave energy converter

In-plane bistable nanowire for memory devices

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