Dynamic analysis of bi-stable composite plates

Diaconu, Cezar G.; Weaver, Paul M.; Arrieta, Andres F.

doi:10.1016/j.jsv.2008.11.032

Cited by 114 publications

(67 citation statements)

References 16 publications

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“…Firstly, Pirrera et al [7] have shown that a large number of degrees of freedom is necessary to capture the regions of the design space in which cross-ply laminates are bistable. Secondly, they have also shown, together with Diaconu et al [38], that an even larger number is required to determine the snap-through load of the panel accurately. Naturally, the necessity of many degrees of freedom comes at the expenses of the computational cost.…”

Section: Case-study 1: Snap-through Loadmentioning

confidence: 95%

Morphing shell structures: A generalised modelling approach

Lamacchia

Pirrera

Chenchiah

et al. 2015

Composite Structures

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a b s t r a c tMorphing shells are nonlinear structures that have the ability to change shape and adopt multiple stable states. By exploiting the concept of morphing, designers may devise adaptable structures, capable of accommodating a wide range of service conditions, minimising design complexity and cost. At present, models predicting shell multistability are often characterised by a compromise between computational efficiency and result accuracy. This paper addresses the main challenges of describing the multistable behaviour of thin composite shells, such as bifurcation points and snap-through loads, through the development of an accurate and computationally efficient energy-based method. The membrane and the bending components of the total strain energy are decoupled by using the semi-inverse formulation of the constitutive equations. Transverse displacements are approximated by using Legendre polynomials and the membrane problem is solved in isolation by combining compatibility conditions and equilibrium equations. This approach provides the strain energy as a function of curvature only, which is of particular interest, as this decoupled representation facilitates efficient solution. The minima of the energy with respect to the curvature components give the multiple stable configurations of the shell. The accurate evaluation of the membrane energy is a key step in order to correctly capture the multiple configurations of the structure. Here, the membrane problem is solved by adopting the Differential Quadrature Method (DQM), which provides accurate results at a relatively small computational cost. The model is benchmarked against three exemplar case studies taken from the literature.

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Section: Case-study 1: Snap-through Loadmentioning

confidence: 95%

Morphing shell structures: A generalised modelling approach

Lamacchia

Pirrera

Chenchiah

et al. 2015

Composite Structures

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“…Bistable composites have been studied in the past for morphing applications due to their ability to attain two statically stable shapes. 7 This bistability property leads to rich dynamics including different nonlinear large amplitude oscillations occurring over a wide frequencies range. 8 By adding flexible piezoelectric patches to a bistable plate, high energy levels are converted from the nonlinear oscillations obtaining a broadband harvesting device.…”

mentioning

confidence: 99%

A piezoelectric bistable plate for nonlinear broadband energy harvesting

Arrieta¹,

Hagedorn²,

Ertürk³

et al. 2010

Applied Physics Letters

436

251

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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: 89%

“…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

148

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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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Dynamic analysis of bi-stable composite plates

Cited by 114 publications

References 16 publications

Morphing shell structures: A generalised modelling approach

Morphing shell structures: A generalised modelling approach

A piezoelectric bistable plate for nonlinear broadband energy harvesting

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

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