Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and un...
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| Veröffentlicht in: | International journal of non-linear mechanics 2019-04, Vol.110, p.115-122 |
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| creator | Silveira, M. Wahi, P. Fernandes, J.C.M. |
| description | The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β |
| doi_str_mv | 10.1016/j.ijnonlinmec.2018.12.007 |
| format | Article |
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The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.</description><identifier>ISSN: 0020-7462</identifier><identifier>EISSN: 1878-5638</identifier><identifier>DOI: 10.1016/j.ijnonlinmec.2018.12.007</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Acceleration ; Analytical solution ; Asymmetrical damping ; Asymmetry ; Damping ; Energy dissipation ; Energy transfer ; Frequency ranges ; Harmonic balance ; Harmonic excitation ; Piecewise linear ; Vibration analysis</subject><ispartof>International journal of non-linear mechanics, 2019-04, Vol.110, p.115-122</ispartof><rights>2019 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c349t-a66b2646546c992447e0abd6136362ef1858630472878dc0c4e9eadcfe1bb6773</citedby><cites>FETCH-LOGICAL-c349t-a66b2646546c992447e0abd6136362ef1858630472878dc0c4e9eadcfe1bb6773</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijnonlinmec.2018.12.007$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,778,782,3539,27907,27908,45978</link.rule.ids></links><search><creatorcontrib>Silveira, M.</creatorcontrib><creatorcontrib>Wahi, P.</creatorcontrib><creatorcontrib>Fernandes, J.C.M.</creatorcontrib><title>Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping</title><title>International journal of non-linear mechanics</title><description>The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.</description><subject>Acceleration</subject><subject>Analytical solution</subject><subject>Asymmetrical damping</subject><subject>Asymmetry</subject><subject>Damping</subject><subject>Energy dissipation</subject><subject>Energy transfer</subject><subject>Frequency ranges</subject><subject>Harmonic balance</subject><subject>Harmonic excitation</subject><subject>Piecewise linear</subject><subject>Vibration analysis</subject><issn>0020-7462</issn><issn>1878-5638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqNkMtOwzAQRS0EEqXwD0asE2zHsZMlqspDqsQG1pbjTMBREgfbpe3fYygLlqxGI829mnMQuqYkp4SK2z63_eSmwU4jmJwRWuWU5YTIE7SglayyUhTVKVoQwkgmuWDn6CKEnqQsJ3KBzHqvTcR6arGeZ-_2dtQR0q6HQ7RGDzi4YRutmwJ2HXbB2GHQ0Xm8s_EdzxYM7GwAnD4A7bEOh3GE6H-irR5nO71dorNODwGufucSvd6vX1aP2eb54Wl1t8lMweuYaSEaJrgouTB1zTiXQHTTClqIQjDoaFVWoiBcssTVGmI41KBb0wFtGiFlsUQ3x97E8bGFEFXvtj6RBMVozUvJC0bTVX28Mt6F4KFTs0_Q_qAoUd9OVa_-OFXfThVlKjlN2dUxCwnj04JXyQdMBlrrwUTVOvuPli_f64fP</recordid><startdate>201904</startdate><enddate>201904</enddate><creator>Silveira, M.</creator><creator>Wahi, P.</creator><creator>Fernandes, J.C.M.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201904</creationdate><title>Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping</title><author>Silveira, M. ; Wahi, P. ; Fernandes, J.C.M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c349t-a66b2646546c992447e0abd6136362ef1858630472878dc0c4e9eadcfe1bb6773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Acceleration</topic><topic>Analytical solution</topic><topic>Asymmetrical damping</topic><topic>Asymmetry</topic><topic>Damping</topic><topic>Energy dissipation</topic><topic>Energy transfer</topic><topic>Frequency ranges</topic><topic>Harmonic balance</topic><topic>Harmonic excitation</topic><topic>Piecewise linear</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Silveira, M.</creatorcontrib><creatorcontrib>Wahi, P.</creatorcontrib><creatorcontrib>Fernandes, J.C.M.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of non-linear mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Silveira, M.</au><au>Wahi, P.</au><au>Fernandes, J.C.M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping</atitle><jtitle>International journal of non-linear mechanics</jtitle><date>2019-04</date><risdate>2019</risdate><volume>110</volume><spage>115</spage><epage>122</epage><pages>115-122</pages><issn>0020-7462</issn><eissn>1878-5638</eissn><abstract>The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijnonlinmec.2018.12.007</doi><tpages>8</tpages></addata></record> |
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| ispartof | International journal of non-linear mechanics, 2019-04, Vol.110, p.115-122 |
| issn | 0020-7462 1878-5638 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete - AutoHoldings |
| subjects | Acceleration Analytical solution Asymmetrical damping Asymmetry Damping Energy dissipation Energy transfer Frequency ranges Harmonic balance Harmonic excitation Piecewise linear Vibration analysis |
| title | Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping |
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