A low-order model for the design of energy harvesting piezoelectric devices

Jeffrey L. Kauffman, George A. Lesieutre, Jeremy E. Frank

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The use of energy harvesting devices is an attractive method of utilizing available mechanical energy by converting it into usable electrical energy. Numerous potential applications exist for energy harvesting devices, including structural health monitoring, discrete actuation systems, and wireless sensor networks, which are considered here. A piezoelectric element is employed to convert mechanical energy from a vibration environment to electrical energy, which is then converted to a regulated power source through an attached circuit. While the devices considered vary in configuration, the essential component is the piezoelectric unimorph or bimorph annular plate with an associated proof mass designed to be mechanically driven near its resonance frequency. The development of a low-order model is a critical step in predicting the device behavior for both the current and future generations of devices. Such a model, based on the assumed modes method, is developed and presented. As employed here, the assumed modes method uses Lagrange's equations and a computation of the (both electrical and mechanical) potential and kinetic energy and virtual work of the device. The model provides a rapid computation of key parameters such as open- and short-circuit natural frequencies, device coupling coefficient, and mode shapes for a device of circular geometry, as well as the ability to produce frequency response functions and time-varying responses to arbitrary forcing functions. Model predictions are compared with experimental data and the model is also used to analyze various physical connections of such plates in a manner like component mode synthesis. A particular strength of the model is the ease with which device parameters, such as the piezoelectric element thickness or device radius, can be changed to evaluate their impact on the device performance. As such, the model is useful when designing the next generation of devices or optimizing a particular configuration, an example of which is presented.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Pages35-46
Number of pages12
StatePublished - Aug 6 2007
Event48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - Waikiki, HI, United States
Duration: Apr 23 2007Apr 26 2007

Publication series

NameCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume1
ISSN (Print)0273-4508

Other

Other48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
CountryUnited States
CityWaikiki, HI
Period4/23/074/26/07

Fingerprint

Piezoelectric devices
Energy harvesting
Structural health monitoring
Potential energy
Kinetic energy
Short circuit currents
Frequency response
Wireless sensor networks
Natural frequencies
Geometry
Networks (circuits)

All Science Journal Classification (ASJC) codes

  • Architecture
  • Materials Science(all)
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Kauffman, J. L., Lesieutre, G. A., & Frank, J. E. (2007). A low-order model for the design of energy harvesting piezoelectric devices. In Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (pp. 35-46). (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 1).
Kauffman, Jeffrey L. ; Lesieutre, George A. ; Frank, Jeremy E. / A low-order model for the design of energy harvesting piezoelectric devices. Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2007. pp. 35-46 (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).
@inproceedings{c42ea4572b954630b3f15151c66a7096,
title = "A low-order model for the design of energy harvesting piezoelectric devices",
abstract = "The use of energy harvesting devices is an attractive method of utilizing available mechanical energy by converting it into usable electrical energy. Numerous potential applications exist for energy harvesting devices, including structural health monitoring, discrete actuation systems, and wireless sensor networks, which are considered here. A piezoelectric element is employed to convert mechanical energy from a vibration environment to electrical energy, which is then converted to a regulated power source through an attached circuit. While the devices considered vary in configuration, the essential component is the piezoelectric unimorph or bimorph annular plate with an associated proof mass designed to be mechanically driven near its resonance frequency. The development of a low-order model is a critical step in predicting the device behavior for both the current and future generations of devices. Such a model, based on the assumed modes method, is developed and presented. As employed here, the assumed modes method uses Lagrange's equations and a computation of the (both electrical and mechanical) potential and kinetic energy and virtual work of the device. The model provides a rapid computation of key parameters such as open- and short-circuit natural frequencies, device coupling coefficient, and mode shapes for a device of circular geometry, as well as the ability to produce frequency response functions and time-varying responses to arbitrary forcing functions. Model predictions are compared with experimental data and the model is also used to analyze various physical connections of such plates in a manner like component mode synthesis. A particular strength of the model is the ease with which device parameters, such as the piezoelectric element thickness or device radius, can be changed to evaluate their impact on the device performance. As such, the model is useful when designing the next generation of devices or optimizing a particular configuration, an example of which is presented.",
author = "Kauffman, {Jeffrey L.} and Lesieutre, {George A.} and Frank, {Jeremy E.}",
year = "2007",
month = "8",
day = "6",
language = "English (US)",
isbn = "1563478927",
series = "Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference",
pages = "35--46",
booktitle = "Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference",

}

Kauffman, JL, Lesieutre, GA & Frank, JE 2007, A low-order model for the design of energy harvesting piezoelectric devices. in Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, vol. 1, pp. 35-46, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Waikiki, HI, United States, 4/23/07.

A low-order model for the design of energy harvesting piezoelectric devices. / Kauffman, Jeffrey L.; Lesieutre, George A.; Frank, Jeremy E.

Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2007. p. 35-46 (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference; Vol. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - A low-order model for the design of energy harvesting piezoelectric devices

AU - Kauffman, Jeffrey L.

AU - Lesieutre, George A.

AU - Frank, Jeremy E.

PY - 2007/8/6

Y1 - 2007/8/6

N2 - The use of energy harvesting devices is an attractive method of utilizing available mechanical energy by converting it into usable electrical energy. Numerous potential applications exist for energy harvesting devices, including structural health monitoring, discrete actuation systems, and wireless sensor networks, which are considered here. A piezoelectric element is employed to convert mechanical energy from a vibration environment to electrical energy, which is then converted to a regulated power source through an attached circuit. While the devices considered vary in configuration, the essential component is the piezoelectric unimorph or bimorph annular plate with an associated proof mass designed to be mechanically driven near its resonance frequency. The development of a low-order model is a critical step in predicting the device behavior for both the current and future generations of devices. Such a model, based on the assumed modes method, is developed and presented. As employed here, the assumed modes method uses Lagrange's equations and a computation of the (both electrical and mechanical) potential and kinetic energy and virtual work of the device. The model provides a rapid computation of key parameters such as open- and short-circuit natural frequencies, device coupling coefficient, and mode shapes for a device of circular geometry, as well as the ability to produce frequency response functions and time-varying responses to arbitrary forcing functions. Model predictions are compared with experimental data and the model is also used to analyze various physical connections of such plates in a manner like component mode synthesis. A particular strength of the model is the ease with which device parameters, such as the piezoelectric element thickness or device radius, can be changed to evaluate their impact on the device performance. As such, the model is useful when designing the next generation of devices or optimizing a particular configuration, an example of which is presented.

AB - The use of energy harvesting devices is an attractive method of utilizing available mechanical energy by converting it into usable electrical energy. Numerous potential applications exist for energy harvesting devices, including structural health monitoring, discrete actuation systems, and wireless sensor networks, which are considered here. A piezoelectric element is employed to convert mechanical energy from a vibration environment to electrical energy, which is then converted to a regulated power source through an attached circuit. While the devices considered vary in configuration, the essential component is the piezoelectric unimorph or bimorph annular plate with an associated proof mass designed to be mechanically driven near its resonance frequency. The development of a low-order model is a critical step in predicting the device behavior for both the current and future generations of devices. Such a model, based on the assumed modes method, is developed and presented. As employed here, the assumed modes method uses Lagrange's equations and a computation of the (both electrical and mechanical) potential and kinetic energy and virtual work of the device. The model provides a rapid computation of key parameters such as open- and short-circuit natural frequencies, device coupling coefficient, and mode shapes for a device of circular geometry, as well as the ability to produce frequency response functions and time-varying responses to arbitrary forcing functions. Model predictions are compared with experimental data and the model is also used to analyze various physical connections of such plates in a manner like component mode synthesis. A particular strength of the model is the ease with which device parameters, such as the piezoelectric element thickness or device radius, can be changed to evaluate their impact on the device performance. As such, the model is useful when designing the next generation of devices or optimizing a particular configuration, an example of which is presented.

UR - http://www.scopus.com/inward/record.url?scp=34547539383&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547539383&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:34547539383

SN - 1563478927

SN - 9781563478925

T3 - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

SP - 35

EP - 46

BT - Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

ER -

Kauffman JL, Lesieutre GA, Frank JE. A low-order model for the design of energy harvesting piezoelectric devices. In Collection of Technical Papers - 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 2007. p. 35-46. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).