Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester

David A.W. Barton; Stephen G. Burrow

doi:10.1115/DETC2009-87318

Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester

David A.W. Barton, Stephen G. Burrow

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

3 Citations (Scopus)

Abstract

In this paper we demonstrate the use of numerical continuation within a physical experiment: a nonlinear energy harvester, which is used to convert vibrational energy into usable electrical energy. To continue a branch of periodic orbits through a saddle-node bifurcation and along the associated branch of unstable periodic orbits, a modified time-delay controller is used. At each step in the continuation the pseudo-arclength equation is appended to a set of equations that ensure that the controller is noninvasive. The resulting nonlinear system is solved using a quasi-Newton iteration, where each evaluation of the nonlinear system requires changing the excitation parameters of the experiment and measuring the response. We present the continuation results for the energy harvester in a number of different configurations.

Original language	English
Title of host publication	Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
Pages	361-368
Number of pages	8
Volume	4
Edition	PART A
DOIs	https://doi.org/10.1115/DETC2009-87318
Publication status	Published - 24 Jun 2010
Event	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 - San Diego, CA, United States Duration: 30 Aug 2009 → 2 Sept 2009

Conference

Conference	2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
Country/Territory	United States
City	San Diego, CA
Period	30/08/09 → 2/09/09

Research Groups and Themes

Engineering Mathematics Research Group

Access to Document

10.1115/DETC2009-87318

Handle.net

Persistent link

Cite this

@inproceedings{6b7991d4c6f24baf957c8abe3398e174,

title = "Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester",

abstract = "In this paper we demonstrate the use of numerical continuation within a physical experiment: a nonlinear energy harvester, which is used to convert vibrational energy into usable electrical energy. To continue a branch of periodic orbits through a saddle-node bifurcation and along the associated branch of unstable periodic orbits, a modified time-delay controller is used. At each step in the continuation the pseudo-arclength equation is appended to a set of equations that ensure that the controller is noninvasive. The resulting nonlinear system is solved using a quasi-Newton iteration, where each evaluation of the nonlinear system requires changing the excitation parameters of the experiment and measuring the response. We present the continuation results for the energy harvester in a number of different configurations.",

author = "Barton, {David A.W.} and Burrow, {Stephen G.}",

year = "2010",

month = jun,

day = "24",

doi = "10.1115/DETC2009-87318",

language = "English",

isbn = "9780791849019",

volume = "4",

pages = "361--368",

booktitle = "Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009",

edition = "PART A",

note = "2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 ; Conference date: 30-08-2009 Through 02-09-2009",

}

Barton, DAW & Burrow, SG 2010, Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester. in Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART A edn, vol. 4, pp. 361-368, 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009, San Diego, CA, United States, 30/08/09. https://doi.org/10.1115/DETC2009-87318

Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester. / Barton, David A.W.; Burrow, Stephen G.
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. Vol. 4 PART A. ed. 2010. p. 361-368.

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

TY - GEN

T1 - Numerical continuation in a physical experiment

T2 - 2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009

AU - Barton, David A.W.

AU - Burrow, Stephen G.

PY - 2010/6/24

Y1 - 2010/6/24

N2 - In this paper we demonstrate the use of numerical continuation within a physical experiment: a nonlinear energy harvester, which is used to convert vibrational energy into usable electrical energy. To continue a branch of periodic orbits through a saddle-node bifurcation and along the associated branch of unstable periodic orbits, a modified time-delay controller is used. At each step in the continuation the pseudo-arclength equation is appended to a set of equations that ensure that the controller is noninvasive. The resulting nonlinear system is solved using a quasi-Newton iteration, where each evaluation of the nonlinear system requires changing the excitation parameters of the experiment and measuring the response. We present the continuation results for the energy harvester in a number of different configurations.

AB - In this paper we demonstrate the use of numerical continuation within a physical experiment: a nonlinear energy harvester, which is used to convert vibrational energy into usable electrical energy. To continue a branch of periodic orbits through a saddle-node bifurcation and along the associated branch of unstable periodic orbits, a modified time-delay controller is used. At each step in the continuation the pseudo-arclength equation is appended to a set of equations that ensure that the controller is noninvasive. The resulting nonlinear system is solved using a quasi-Newton iteration, where each evaluation of the nonlinear system requires changing the excitation parameters of the experiment and measuring the response. We present the continuation results for the energy harvester in a number of different configurations.

UR - http://www.scopus.com/inward/record.url?scp=77953693512&partnerID=8YFLogxK

U2 - 10.1115/DETC2009-87318

DO - 10.1115/DETC2009-87318

M3 - Conference Contribution (Conference Proceeding)

AN - SCOPUS:77953693512

SN - 9780791849019

VL - 4

SP - 361

EP - 368

BT - Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009

Y2 - 30 August 2009 through 2 September 2009

ER -

Numerical continuation in a physical experiment: Investigation of a nonlinear energy harvester

Abstract

Conference

Research Groups and Themes

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this