Phenomena in the bifurcation of unsymmetric composite plates

Potter, Kevin D; Weaver, Paul M.; Seman, Akbar Abu; Shah, Sanjay

doi:10.1016/j.compositesa.2006.01.017

Cited by 83 publications

(41 citation statements)

References 10 publications

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“…8, showing an amplitude of response three times larger than the linear modal response of mode w 2 . Once more, range Ω= [13,43] the experimental results agree with the characteristics of a 1/2 subharmonic response of mode w 2 . Although other sub-and super-harmonics were experimentally searched for, both at lower and higher frequencies, no others could be found for the chosen levels of forcing and the current plate configuration.…”

Section: Dynamic Responsesupporting

confidence: 77%

“…More specifically, these studies have focused on the identification of the stiffness characteristics [10,11], and the static load required to induce snap-through [12,13,14]. However, the operating conditions of aerospace morphing applications will inevitably expose 2 these composite structures to high levels of dynamic excitation, for example in an aeroelastic environment.…”

Section: Introductionmentioning

confidence: 99%

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Low order model for the dynamics of bi-stable composite plates

Arrieta

Spelsberg‐Korspeter

Hagedorn

et al. 2011

Journal of Intelligent Material Systems and Structures

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This article presents the derivation and validation of a low order model for the non-linear dynamics of cross-ply bi-stable composite plates focusing on the response of one stable state. The Rayleigh–Ritz method is used to solve the associated linear problem to obtain valuable theoretical insight into how to formulate an approximate non-linear dynamic model. This allows us to follow a Galerkin approach projecting the solution of the non-linear problem onto the mode shapes of the linear problem. The order of the non-linear model is reduced using theoretical results from the linear solution yielding a low order model. The dynamic response of a bi-stable plate specimen is studied to simplify the model further by only keeping the non-linear terms leading to observed oscillations. Simulations for the dynamic response using the derived model are presented showing excellent agreement with the experimentally observed behaviour. Additionally, deflection shapes are measured and compared with the calculated mode shapes, showing good agreement.

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Section: Dynamic Responsesupporting

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Low order model for the dynamics of bi-stable composite plates

Arrieta

Spelsberg‐Korspeter

Hagedorn

et al. 2011

Journal of Intelligent Material Systems and Structures

View full text Add to dashboard Cite

show abstract

“…Extensive research into multi-stability has been conducted within composite materials [50,125,144,145,183,184]. The snap-through phenomenon occurs when a structure is forced to transition from one equilibrium, which is stable under small perturbations, to another (usually by an external force), by transitioning through a region of instability.…”

Section: Multi-stable Structuresmentioning

confidence: 99%

HCI meets Material Science

Qamar

Groh

Holman

et al. 2018

Proceedings of the 2018 CHI Conference on Human Factors in Computing Systems

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“…(1), and is therefore quite unlike the complex, multi-event responses reported previously by Potter [28], Pirrera [31], Diaconu [30] and Shaw [32]. Although the numerous attachments to the plate will clearly influence its response, the multi-event snap is reproduced in [32] using a very similar method, so the change in behaviour may be attributed to the different choice of plate properties.…”

Section: Quasi-static Responsementioning

confidence: 67%

“…The layup and dimensions were chosen to give relatively low curvature in each bistable 5 state, to prevent the plate forming 'half-snap' states during snap-through as reported in [28,31,30,32], which would cause an undesired non-smooth response.…”

Section: Bistable Platementioning

confidence: 99%

A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation

Shaw

Neild

Wagg

et al. 2013

Journal of Sound and Vibration

141

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ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request.A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation AbstractThe High Static Low Dynamic Stiffness (HSLDS) concept is a design strategy for a nonlinear anti-vibration mount that seeks to increase isolation by lowering the natural frequency of the mount whilst maintaining the same static load bearing capacity. It has previously been proposed that an HSLDS mount could be implemented by connecting linear springs in parallel with the transverse flexure of a composite bistable plate -a plate that has two stable shapes between which it may snap. Using a bistable plate in this way will lead to lightweight and efficient designs of HSLDS mounts. This paper experimentally demonstrates the feasibility of this idea. Firstly, the quasi-static force-displacement curve of a mounted bistable plate is determined experimentally. Then the dynamic response of a nonlinear mass-spring system incorporating this plate is measured.Excellent agreement is obtained when compared to theoretical predictions based on the measured force-displacement curve, and the system shows a greater isolation region and a lower peak response to base excitation than the equivalent linear system.

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Phenomena in the bifurcation of unsymmetric composite plates

Cited by 83 publications

References 10 publications

Low order model for the dynamics of bi-stable composite plates

Low order model for the dynamics of bi-stable composite plates

HCI meets Material Science

A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation

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