Response analysis of the piezoelectric energy harvester under correlated white noise
Energy harvesting of a monostable duffing-type harvester with piezoelectric coupling under correlated multiplicative and additive white noise is investigated in this paper. The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equ...
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Veröffentlicht in: | Nonlinear dynamics 2017-11, Vol.90 (3), p.2069-2082 |
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description | Energy harvesting of a monostable duffing-type harvester with piezoelectric coupling under correlated multiplicative and additive white noise is investigated in this paper. The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equivalent nonlinear system. Using the stochastic averaging method, an analytical solution of random response for vibration energy harvesters (VEHs) is obtained. The effects of the system parameters on the mean-square displacement, the mean output power and the power spectral density are explored. It is found that the correlated noise can improve the performance of the nonlinear VEHs. The curve of the mean output power first increases with increasing the ratio of time constant, reaches a maximum and then decreases. This phenomenon is of great significance to energy harvesting. Finally, the theoretical results are well verified through the numerical simulations. |
doi_str_mv | 10.1007/s11071-017-3784-7 |
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The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equivalent nonlinear system. Using the stochastic averaging method, an analytical solution of random response for vibration energy harvesters (VEHs) is obtained. The effects of the system parameters on the mean-square displacement, the mean output power and the power spectral density are explored. It is found that the correlated noise can improve the performance of the nonlinear VEHs. The curve of the mean output power first increases with increasing the ratio of time constant, reaches a maximum and then decreases. This phenomenon is of great significance to energy harvesting. Finally, the theoretical results are well verified through the numerical simulations.</description><identifier>ISSN: 0924-090X</identifier><identifier>EISSN: 1573-269X</identifier><identifier>DOI: 10.1007/s11071-017-3784-7</identifier><language>eng</language><publisher>Dordrecht: Springer Netherlands</publisher><subject>Automotive Engineering ; Classical Mechanics ; Computer simulation ; Control ; Dynamical Systems ; Energy harvesting ; Engineering ; Exact solutions ; Harvesters ; Mechanical Engineering ; Noise ; Nonlinear systems ; Original Paper ; Performance enhancement ; Piezoelectricity ; Power spectral density ; Time constant ; Vibration ; White noise</subject><ispartof>Nonlinear dynamics, 2017-11, Vol.90 (3), p.2069-2082</ispartof><rights>Springer Science+Business Media B.V. 2017</rights><rights>Copyright Springer Science & Business Media 2017</rights><rights>Nonlinear Dynamics is a copyright of Springer, (2017). 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The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equivalent nonlinear system. Using the stochastic averaging method, an analytical solution of random response for vibration energy harvesters (VEHs) is obtained. The effects of the system parameters on the mean-square displacement, the mean output power and the power spectral density are explored. It is found that the correlated noise can improve the performance of the nonlinear VEHs. The curve of the mean output power first increases with increasing the ratio of time constant, reaches a maximum and then decreases. This phenomenon is of great significance to energy harvesting. Finally, the theoretical results are well verified through the numerical simulations.</description><subject>Automotive Engineering</subject><subject>Classical Mechanics</subject><subject>Computer simulation</subject><subject>Control</subject><subject>Dynamical Systems</subject><subject>Energy harvesting</subject><subject>Engineering</subject><subject>Exact solutions</subject><subject>Harvesters</subject><subject>Mechanical Engineering</subject><subject>Noise</subject><subject>Nonlinear systems</subject><subject>Original Paper</subject><subject>Performance enhancement</subject><subject>Piezoelectricity</subject><subject>Power spectral density</subject><subject>Time constant</subject><subject>Vibration</subject><subject>White noise</subject><issn>0924-090X</issn><issn>1573-269X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kE1LxDAQhoMouK7-AG8Bz9WZJG2aoyx-wYIgK-wtxHSy26W2a9JV1l9vpR686GXm8rwvMw9j5wiXCKCvEiJozAB1JnWpMn3AJphrmYnCLA_ZBIxQGRhYHrOTlDYAIAWUE7Z4orTt2kTcta7ZpzrxLvB-TXxb02dHDfk-1p5TS3G152sX3yn1FPmurYbpuxipcT1V_GNd98Tbrk50yo6CaxKd_ewpe769Wczus_nj3cPsep55qVSfKSQhq9x78lg4V2EJKkcsS--0FkIGUWkEg1UoiHTpJISgQiicV-BQvMgpuxh7t7F72w132U23i8MfyQqRG6U0KPMfhSYXYHKAfKBwpHzsUooU7DbWry7uLYL9VmxHxXZQbL8VWz1kxJhJA9uuKP5q_jP0BcYHfvg</recordid><startdate>20171101</startdate><enddate>20171101</enddate><creator>Xiao, Shaoming</creator><creator>Jin, Yanfei</creator><general>Springer Netherlands</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20171101</creationdate><title>Response analysis of the piezoelectric energy harvester under correlated white noise</title><author>Xiao, Shaoming ; Jin, Yanfei</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c344t-41e23d5ccec16aad180451188ca77223f2d71091df6ee78a30ff4ff6ac40a12b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Automotive Engineering</topic><topic>Classical Mechanics</topic><topic>Computer simulation</topic><topic>Control</topic><topic>Dynamical Systems</topic><topic>Energy harvesting</topic><topic>Engineering</topic><topic>Exact solutions</topic><topic>Harvesters</topic><topic>Mechanical Engineering</topic><topic>Noise</topic><topic>Nonlinear systems</topic><topic>Original Paper</topic><topic>Performance enhancement</topic><topic>Piezoelectricity</topic><topic>Power spectral density</topic><topic>Time constant</topic><topic>Vibration</topic><topic>White noise</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xiao, Shaoming</creatorcontrib><creatorcontrib>Jin, Yanfei</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>ProQuest Engineering Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering collection</collection><jtitle>Nonlinear dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xiao, Shaoming</au><au>Jin, Yanfei</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Response analysis of the piezoelectric energy harvester under correlated white noise</atitle><jtitle>Nonlinear dynamics</jtitle><stitle>Nonlinear Dyn</stitle><date>2017-11-01</date><risdate>2017</risdate><volume>90</volume><issue>3</issue><spage>2069</spage><epage>2082</epage><pages>2069-2082</pages><issn>0924-090X</issn><eissn>1573-269X</eissn><abstract>Energy harvesting of a monostable duffing-type harvester with piezoelectric coupling under correlated multiplicative and additive white noise is investigated in this paper. The generalized harmonic transformation is applied to decouple the electromechanical equations, which leads to an uncoupled equivalent nonlinear system. Using the stochastic averaging method, an analytical solution of random response for vibration energy harvesters (VEHs) is obtained. The effects of the system parameters on the mean-square displacement, the mean output power and the power spectral density are explored. It is found that the correlated noise can improve the performance of the nonlinear VEHs. The curve of the mean output power first increases with increasing the ratio of time constant, reaches a maximum and then decreases. This phenomenon is of great significance to energy harvesting. Finally, the theoretical results are well verified through the numerical simulations.</abstract><cop>Dordrecht</cop><pub>Springer Netherlands</pub><doi>10.1007/s11071-017-3784-7</doi><tpages>14</tpages></addata></record> |
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subjects | Automotive Engineering Classical Mechanics Computer simulation Control Dynamical Systems Energy harvesting Engineering Exact solutions Harvesters Mechanical Engineering Noise Nonlinear systems Original Paper Performance enhancement Piezoelectricity Power spectral density Time constant Vibration White noise |
title | Response analysis of the piezoelectric energy harvester under correlated white noise |
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