On the parameters which govern the symmetric snap-through buckling behavior of an initially curved microbeam

Chen, Xue; Meguid, S. A.

doi:10.1016/j.ijsolstr.2015.04.011

Cited by 24 publications

(12 citation statements)

References 30 publications

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“…There is a number of publications dealing with buckled beams and membranes under the transverse load (see, for example, Refs. [46][47][48][49]). Such systems are frequently described in the framework of Euler-Bernoulli theory, which, however, leads to complex analytically unsolvable equations.…”

Section: Theory Of Elasticitymentioning

confidence: 99%

Snap-through transition of buckled graphene membranes for memcapacitor applications

Yamaletdinov

Ivakhnenko

Sedelnikova

et al. 2018

Sci Rep

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Using computational and theoretical approaches, we investigate the snap-through transition of buckled graphene membranes. Our main interest is related to the possibility of using the buckled membrane as a plate of capacitor with memory (memcapacitor). For this purpose, we performed molecular-dynamics (MD) simulations and elasticity theory calculations of the up-to-down and down-to-up snap-through transitions for membranes of several sizes. We have obtained expressions for the threshold switching forces for both up-to-down and down-to-up transitions. Moreover, the up-to-down threshold switching force was calculated using the density functional theory (DFT). Our DFT results are in general agreement with MD and analytical theory findings. Our systematic approach can be used for the description of other structures, including nanomechanical and biological ones, experiencing the snap-through transition.

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Section: Theory Of Elasticitymentioning

confidence: 99%

Snap-through transition of buckled graphene membranes for memcapacitor applications

Yamaletdinov

Ivakhnenko

Sedelnikova

et al. 2018

Sci Rep

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“…Although the snap-through behaviour of the relevant c structural elements resemble each other generally, the details of the concerning phenomenon (which is different for different structural elements, dimensional characteristics, materials used) can be crucially important from the point of design and analysis of such systems. Therefore, it is not a surprise to observe publications on this subject receiving much attention for many years, including those in recent years [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Snap-through Buckling of Shallow Spherical Shells under Ring Loads

Karataş

Yükseler

2021

Teknik Dergi

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Snap-through buckling behaviour of rigid vinly polyethlene shallow spherical shells, undergoing large displacements, subjected to static ring loads is investigated by using finite differences and Newton-Raphson Method. The load-deflection diagrams corresponding to various values of thickness, depth and ring diameter of the shell with simply supported and clamped edges are drawn and compared. The accuracy of the used algorithm and the prepared computer program are tested by comparing some of the numerical results obtained in this study with those obtained by an experimental study, available in the relevant literature. Further steps on the concerning subject are achieved.

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“…In addition, numerous research works [20][21][22][23][24][25] examined the effect of the curved microbeam geometry (length, thickness, etc. .…”

Section: Introductionmentioning

confidence: 99%

Static and Dynamic Analysis of Electrostatically Actuated MEMS Shallow Arches for Various Air-Gap Configurations

2021

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In this research, we investigate the structural behavior, including the snap-through and pull-in instabilities, of in-plane microelectromechanical COSINE-shaped and electrically actuated clamped-clamped micro-beams resonators. The work examines various electrostatic actuation patterns including uniform and non-uniform parallel-plates airgap arrangements, which offer options to actuate the arches in the opposite and same direction of their curvature. The nonlinear equation of motion of a shallow arch is discretized into a reduced-order model based on the Galerkin’s expansion method, which is then numerically solved. Static responses are examined for various DC electrostatic loads starting from small values to large values near pull-in and snap-through instability ranges, if any. The eigenvalue problem of the micro-beam is solved revealing the variations of the first four natural frequencies as varying the DC load. Various simulations are carried out for several case studies of shallow arches of various geometrical parameters and airgap arrangements, which demonstrate rich and diverse static and dynamic behaviors. Results show few cases with multi-states and hysteresis behaviors where some with only the pull-in instability and others with both snap-through buckling and pull-in instabilities. It is found that the micro-arches behaviors are very sensitive to the electrode’s configuration. The studied configurations reveal different possibilities to control the pull-in and snap-through instabilities, which can be used for improving arches static stroke range as actuators and for realizing wide-range tunable micro-resonators.

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On the parameters which govern the symmetric snap-through buckling behavior of an initially curved microbeam

Cited by 24 publications

References 30 publications

Snap-through transition of buckled graphene membranes for memcapacitor applications

Snap-through transition of buckled graphene membranes for memcapacitor applications

Snap-through Buckling of Shallow Spherical Shells under Ring Loads

Static and Dynamic Analysis of Electrostatically Actuated MEMS Shallow Arches for Various Air-Gap Configurations

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