Experimental investigation of a buckled beam under high-frequency excitation

Yabuno, Hiroshi; Tsumoto, Koji

doi:10.1007/s00419-007-0112-6

Cited by 17 publications

(3 citation statements)

References 6 publications

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“…The theoretical predictions are backed up by experimental evidence for various physical systems, see e.g. [5,[15][16][17][18] and references cited there.…”

Section: Introductionmentioning

confidence: 89%

Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment

Thomsen

Ebbehøj

2023

Nonlinear Dyn

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High-frequency excitation (HFE) can be used to change the effective stiffness of an elastic structure, and related quantities such as resonance frequencies, wave speeds, buckling loads, and equilibrium states. There are two ways to do this: By using parametric HFE (with or without nonlinearity), or by using external HFE along with strong nonlinearity. The first way, parametric stiffening, has been examined for many different systems, and analytical predictions exist that have been repeatedly confirmed against numerical simulation and laboratory experiments. The current work contributes results on the other way, external stiffening: Combining the method of direct separation of motions with results of a modified multiple scales approach, valid also for strong or even essential nonlinearity, quantitative measures of the stiffening effect is predicted for a generic 1-DOF system, and tested with generally good agreement against numerical simulation and laboratory experiments.

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“…The theoretical predictions are backed up by experimental evidence for various physical systems, see e.g. [5,[15][16][17][18] and references cited there.…”

Section: Introductionmentioning

confidence: 89%

Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment

Thomsen

Ebbehøj

2023

Nonlinear Dyn

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“…The effects of HF parametric excitation are well understood, and have been studied analytically and numerically in many articles [12,6,4]. Experimental verification for various physical systems is presented in [13,20,3,5]. Stiffening can also be observed in externally excited non-linear systems.…”

Section: Accepted Manuscript 1 Introductionmentioning

confidence: 94%

Using high-frequency vibrations and non-linear inclusions to create metamaterials with adjustable effective properties

Lazarov¹,

Thomsen²

2009

International Journal of Non-Linear Mechanics

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To cite this version:B.S. Lazarov, J.J. Thomsen This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. how true static displacements and forces can be created by using HF excitation with structures having asymmetric displacement-force characteristics.

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“…In the mechanical domain, research related to bistable systems stems largely from early investigations of structural buckling and post-buckled dynamics. Recent, yet representative, works include those of Emam [3], which considered the complex, quasi-periodic and chaotic response of post-buckled beams, Chen and Liao [4], which studied the dynamics of a post-buckled beam under the influence of an impact load at the end, and Yabuno and Tsumoto [5], which explored the transient behavior of a buckled beam in the presence of a high-frequency direct excitation. In the context of micro-and nanoscale systems, bistable devices have garnered significant interest not only due to their rich dynamics, but also due to their broad applicability in commercial applications, such as switching and microfluidics (see, for example, Refs.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Analysis of an Optically-Actuated, Bistable MEMS Device

Kumar

Rhoads

2010

Volume 4: 12th International Conference on Advanced Vehicle and Tire Technologies; 4th International Conference on Micro- And N

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Bistable microsystems have drawn considerable interest from the MEMS/NEMS research community not only due to their broad applicability in commercial applications, such as switching, but also because of the rich dynamic behavior they commonly exhibit. While a number of prior investigations have studied the dynamics of bistable microsystems, comparatively few works have sought to characterize their transient behavior. The present effort seeks to address this through the modeling and analysis of an optically-actuated, bistable MEMS switch. The work begins with the development of a distributed-parameter representation for the system, which is subsequently reduced to a lumped-mass analog and analyzed through the use of numerical simulation. The influence of various system and excitation parameters, including the applied axial load and optical actuation profile, on the system’s transient response is then investigated. Ultimately, the methodologies and results presented herein should provide for a refined predictive design capability for optically-actuated, bistable MEMS devices.

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Experimental investigation of a buckled beam under high-frequency excitation

Cited by 17 publications

References 6 publications

Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment

Strong nonlinearity and external high-frequency forcing for controlling effective mechanical stiffness: theory and experiment

Using high-frequency vibrations and non-linear inclusions to create metamaterials with adjustable effective properties

Modeling and Analysis of an Optically-Actuated, Bistable MEMS Device

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