A magnetoelastic strange attractor

Moon, Francis C.; Holmes, Philip

doi:10.1016/0022-460x(79)90520-0

Cited by 488 publications

(255 citation statements)

References 11 publications

Supporting

Mentioning

249

Contrasting

Unclassified

Order By: Relevance

“…The magnetoelastic structure shown in Fig. 1͑a͒ was first investigated by Moon and Holmes 7 as a mechanical structure that exhibits strange attractor motions. The device consists of a ferromagnetic cantilevered beam with two permanent magnets located symmetrically near the free end and it is subjected to harmonic base excitation.…”

mentioning

confidence: 99%

A piezomagnetoelastic structure for broadband vibration energy harvesting

Ertürk

Hoffmann

Inman

2009

Applied Physics Letters

899

648

View full text Add to dashboard Cite

This letter introduces a piezomagnetoelastic device for substantial enhancement of piezoelectric power generation in vibration energy harvesting. Electromechanical equations describing the nonlinear system are given along with theoretical simulations. Experimental performance of the piezomagnetoelastic generator exhibits qualitative agreement with the theory, yielding large-amplitude periodic oscillations for excitations over a frequency range. Comparisons are presented against the conventional case without magnetic buckling and superiority of the piezomagnetoelastic structure as a broadband electric generator is proven. The piezomagnetoelastic generator results in a 200% increase in the open-circuit voltage amplitude (hence promising an 800% increase in the power amplitude).

show abstract

mentioning

confidence: 99%

A piezomagnetoelastic structure for broadband vibration energy harvesting

Ertürk

Hoffmann

Inman

2009

Applied Physics Letters

899

648

View full text Add to dashboard Cite

show abstract

“…We have demonstrated a more complex relationship between meltwater input and flood size by prescribing a more realistic, time-varying lake input. Interactions between the timing of lake drainage and a seasonal cycle of lake input produce mode locking, resonance and chaotic dynamics, behaviours also exhibited by theoretical and observed nonlinear oscillators forced periodically (Moon and Holmes, 1979;Novak and Frehlich, 1982;Drazin, 1992;Kanamaru, 2007). Their discovery in a glaciohydraulic model is interesting mathematically and may have implications for our understanding and the predictability of real-world ice-dammed reservoirs.…”

Section: Discussionmentioning

confidence: 83%

Chaotic dynamics of a glaciohydraulic model

Kingslake

2015

J. Glaciol.

View full text Add to dashboard Cite

ABSTRACT. A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing periodic floods, and fills with meltwater at a rate dependent on air temperature, which varies seasonally with a peak value of T m . The analysis reveals regions of T m parameter space corresponding to 'mode locking', where flood repeat time is independent of T m ; resonance, where decreasing T m counter-intuitively increases flood size; and chaotic dynamics, where flood cycles are sensitive to initial conditions, never repeat and exhibit phase-space mixing. Bifurcations associated with abrupt changes in flood size and timing within the year separate these regions. This is the first time these complex dynamics have been displayed by a glaciohydraulic model and these findings have implications for our understanding of ice-marginal lakes, moulins and subglacial lakes.

show abstract

“…In this sense, this work aims to study the nonlinear dynamics of the energy harvesting device proposed by [1], which is composed by the classical Moon and Holmes magneto-elastic beam [3], coupled with laminae of piezoelectric material. The 2 paper also aims to solve an optimization problem, in order to maximize the mean electrical power in the device.…”

Section: Introductionmentioning

confidence: 99%

Maximization of the electrical power generated by a piezo-magneto-elastic energy harvesting device

Peterson¹,

Lopes²,

Cunha³

2017

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

View full text Add to dashboard Cite

Abstract. This work deals with the maximization of the mean power in a piezoelectric energy harvesting device. The voltages are acquired by applying different force amplitudes and initial positions for the system. These signals are treated in order to identify and separate chaotic from regular (non chaotic) results, through 0-1 test for chaos. An optimization problem is numerically solved in order to identify an optimal configuration of parameters.

show abstract

A magnetoelastic strange attractor

Cited by 488 publications

References 11 publications

A piezomagnetoelastic structure for broadband vibration energy harvesting

A piezomagnetoelastic structure for broadband vibration energy harvesting

Chaotic dynamics of a glaciohydraulic model

Maximization of the electrical power generated by a piezo-magneto-elastic energy harvesting device

Contact Info

Product

Resources

About