Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems
This paper investigates the properties/formation of combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems subject to external harmonic inputs containing a profusion of frequencies. Overall, this includes the evaluation of simultaneously excited...
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| Veröffentlicht in: | Journal of the Franklin Institute 1985-01, Vol.319 (6), p.521-542 |
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| container_title | Journal of the Franklin Institute |
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| creator | Padovan, Joseph |
| description | This paper investigates the properties/formation of combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems subject to external harmonic inputs containing a profusion of frequencies. Overall, this includes the evaluation of simultaneously excited harmonic, sub/superharmonics as well as combination harmonics created by interactions between external and interspectral system frequency branches. Additionally, effort is also given to handling nonconservative characteristics wherein critical damping levels may suppress specific combination harmonics. The foregoing is made possible through the development of a warped and constrained multiple time scales perturbation solution scheme. To illustrate the scheme as well as the nature and form of external and interspectral interaction, a nonlinear nonconservative version of the wave equation which is excited by complex external harmonic fields is given detailed consideration. |
| doi_str_mv | 10.1016/0016-0032(85)90015-8 |
| format | Article |
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Overall, this includes the evaluation of simultaneously excited harmonic, sub/superharmonics as well as combination harmonics created by interactions between external and interspectral system frequency branches. Additionally, effort is also given to handling nonconservative characteristics wherein critical damping levels may suppress specific combination harmonics. The foregoing is made possible through the development of a warped and constrained multiple time scales perturbation solution scheme. To illustrate the scheme as well as the nature and form of external and interspectral interaction, a nonlinear nonconservative version of the wave equation which is excited by complex external harmonic fields is given detailed consideration.</description><identifier>ISSN: 0016-0032</identifier><identifier>EISSN: 1879-2693</identifier><identifier>DOI: 10.1016/0016-0032(85)90015-8</identifier><identifier>CODEN: JFINAB</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>damping ; Exact sciences and technology ; frequency ; Fundamental areas of phenomenology (including applications) ; numerical analysis ; Physics ; resonance ; Solid mechanics ; Structural and continuum mechanics ; vibration ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><ispartof>Journal of the Franklin Institute, 1985-01, Vol.319 (6), p.521-542</ispartof><rights>1985</rights><rights>1986 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c396t-d91b7f7fcee6d521377b6849b4a16eb223aa342d9d7cd4eddc8ff6a971b1d8e43</citedby><cites>FETCH-LOGICAL-c396t-d91b7f7fcee6d521377b6849b4a16eb223aa342d9d7cd4eddc8ff6a971b1d8e43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/0016-0032(85)90015-8$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3548,27922,27923,45993</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8560990$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Padovan, Joseph</creatorcontrib><title>Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems</title><title>Journal of the Franklin Institute</title><description>This paper investigates the properties/formation of combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems subject to external harmonic inputs containing a profusion of frequencies. 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To illustrate the scheme as well as the nature and form of external and interspectral interaction, a nonlinear nonconservative version of the wave equation which is excited by complex external harmonic fields is given detailed consideration.</description><subject>damping</subject><subject>Exact sciences and technology</subject><subject>frequency</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>numerical analysis</subject><subject>Physics</subject><subject>resonance</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>vibration</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0016-0032</issn><issn>1879-2693</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><recordid>eNp9kUuLFDEUhYMo2Lb-AxdZiI9FOUmqKo-NMAw6MzDgRtchldyCSFVS5qYbGv-8GXsYXM3mhhO---AcQt5y9pkzLi9YKx1jvfiox0-mqbHTz8iOa2U6IU3_nOwekZfkFeKvJhVnbEf-3KYKBTfwtbiF-rxOMbkac6L1tAEtgDm55AFpnmnKaYkJXGlgQijHRh7hon3_r2mIWEucDhUC3VxxK7Qd9Bin4mouJ4onrLDia_JidgvCm4d3T35--_rj6qa7-359e3V51_neyNoFwyc1q9kDyDAK3is1ST2YaXBcwiRE71w_iGCC8mGAELyeZ-mM4hMPGoZ-Tz6c524l_z4AVrtG9LAsLkE-oFWDZELL5s6evH-SFINqlFINHM6gLxmxwGy3EldXTpYze5-JZefSC6tH-y8Tq1vbu4f5Dr1b5tKcjfjYq0fJjLk_48sZg-bKMUKx6CO0EEIsLSgbcnx6z18PgKS7</recordid><startdate>19850101</startdate><enddate>19850101</enddate><creator>Padovan, Joseph</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7TC</scope></search><sort><creationdate>19850101</creationdate><title>Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems</title><author>Padovan, Joseph</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c396t-d91b7f7fcee6d521377b6849b4a16eb223aa342d9d7cd4eddc8ff6a971b1d8e43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>damping</topic><topic>Exact sciences and technology</topic><topic>frequency</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>numerical analysis</topic><topic>Physics</topic><topic>resonance</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>vibration</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Padovan, Joseph</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Journal of the Franklin Institute</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Padovan, Joseph</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems</atitle><jtitle>Journal of the Franklin Institute</jtitle><date>1985-01-01</date><risdate>1985</risdate><volume>319</volume><issue>6</issue><spage>521</spage><epage>542</epage><pages>521-542</pages><issn>0016-0032</issn><eissn>1879-2693</eissn><coden>JFINAB</coden><abstract>This paper investigates the properties/formation of combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems subject to external harmonic inputs containing a profusion of frequencies. Overall, this includes the evaluation of simultaneously excited harmonic, sub/superharmonics as well as combination harmonics created by interactions between external and interspectral system frequency branches. Additionally, effort is also given to handling nonconservative characteristics wherein critical damping levels may suppress specific combination harmonics. The foregoing is made possible through the development of a warped and constrained multiple time scales perturbation solution scheme. To illustrate the scheme as well as the nature and form of external and interspectral interaction, a nonlinear nonconservative version of the wave equation which is excited by complex external harmonic fields is given detailed consideration.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/0016-0032(85)90015-8</doi><tpages>22</tpages></addata></record> |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | damping Exact sciences and technology frequency Fundamental areas of phenomenology (including applications) numerical analysis Physics resonance Solid mechanics Structural and continuum mechanics vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Interspectral combination type resonances of nonlinear conservative/nonconservative distributed parameter vibratory systems |
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