A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks
This paper is on the natural frequency and mode shape computation of frame structures with column cracks. First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent...
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| Veröffentlicht in: | Journal of vibration and control 2018-12, Vol.24 (24), p.5794-5810 |
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| container_title | Journal of vibration and control |
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| creator | Mazanoglu, Kemal Kandemir-Mazanoglu, Elif C |
| description | This paper is on the natural frequency and mode shape computation of frame structures with column cracks. First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent model of columns and lumped mass-stiffness effects of beams have been combined to carry out continuous solution for the anti-symmetric mode in-plane vibrations of frames. In addition, frame systems with multiple column cracks are analyzed in terms of anti-symmetric mode vibration characteristics. Cracks are considered as massless rotational springs in compliance with the local flexibility model. Compatibility and continuity conditions are satisfied at crack and storey locations of the equivalent column, modeled using the Euler–Bernoulli beam theory. The proposed method is tested for single-storey single- and multi-bay, H-type and double-storey single-bay frame systems with intact and cracked columns. Results are validated by those given in the current literature and/or obtained by the finite element analyses. |
| doi_str_mv | 10.1177/1077546316653039 |
| format | Article |
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First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent model of columns and lumped mass-stiffness effects of beams have been combined to carry out continuous solution for the anti-symmetric mode in-plane vibrations of frames. In addition, frame systems with multiple column cracks are analyzed in terms of anti-symmetric mode vibration characteristics. Cracks are considered as massless rotational springs in compliance with the local flexibility model. Compatibility and continuity conditions are satisfied at crack and storey locations of the equivalent column, modeled using the Euler–Bernoulli beam theory. The proposed method is tested for single-storey single- and multi-bay, H-type and double-storey single-bay frame systems with intact and cracked columns. Results are validated by those given in the current literature and/or obtained by the finite element analyses.</description><identifier>ISSN: 1077-5463</identifier><identifier>EISSN: 1741-2986</identifier><identifier>DOI: 10.1177/1077546316653039</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Beam theory (structures) ; Columns (structural) ; Continuity (mathematics) ; Cracks ; Equivalence ; Euler-Bernoulli beams ; Finite element method ; Frame structures ; Frames ; Resonant frequencies ; Springs (elastic) ; Stiffness ; Vibration ; Vibration analysis</subject><ispartof>Journal of vibration and control, 2018-12, Vol.24 (24), p.5794-5810</ispartof><rights>The Author(s) 2016</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c309t-e677ef9be621a530c276c13d9a4fc04ca2c2053d3498933734de7460e7df4eff3</citedby><cites>FETCH-LOGICAL-c309t-e677ef9be621a530c276c13d9a4fc04ca2c2053d3498933734de7460e7df4eff3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/1077546316653039$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/1077546316653039$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,780,784,21817,27922,27923,43619,43620</link.rule.ids></links><search><creatorcontrib>Mazanoglu, Kemal</creatorcontrib><creatorcontrib>Kandemir-Mazanoglu, Elif C</creatorcontrib><title>A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks</title><title>Journal of vibration and control</title><description>This paper is on the natural frequency and mode shape computation of frame structures with column cracks. First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent model of columns and lumped mass-stiffness effects of beams have been combined to carry out continuous solution for the anti-symmetric mode in-plane vibrations of frames. In addition, frame systems with multiple column cracks are analyzed in terms of anti-symmetric mode vibration characteristics. Cracks are considered as massless rotational springs in compliance with the local flexibility model. Compatibility and continuity conditions are satisfied at crack and storey locations of the equivalent column, modeled using the Euler–Bernoulli beam theory. The proposed method is tested for single-storey single- and multi-bay, H-type and double-storey single-bay frame systems with intact and cracked columns. Results are validated by those given in the current literature and/or obtained by the finite element analyses.</description><subject>Beam theory (structures)</subject><subject>Columns (structural)</subject><subject>Continuity (mathematics)</subject><subject>Cracks</subject><subject>Equivalence</subject><subject>Euler-Bernoulli beams</subject><subject>Finite element method</subject><subject>Frame structures</subject><subject>Frames</subject><subject>Resonant frequencies</subject><subject>Springs (elastic)</subject><subject>Stiffness</subject><subject>Vibration</subject><subject>Vibration analysis</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1UM1LwzAUD6LgnN49BjxHkyZNmuMYfsHAi55Llr64zLapSerYf2_HBEHw9B7v98X7IXTN6C1jSt0xqlQpJGdSlpxyfYJmTAlGCl3J02mfYHLAz9FFSltKqRCMztB2gXvY4eS7ofXOQ4M7yJvQYBciNn32JO276RS9xV1oAPueDK3pAX_5dTTZhz7h4LCLpgOcchxtHiMkvPN5g21ox67HNhr7kS7RmTNtgqufOUdvD_evyyeyenl8Xi5WxHKqMwGpFDi9BlkwM71iCyUt4402wlkqrClsQUvecKErzbniogElJAXVOAHO8Tm6OfoOMXyOkHK9DWPsp8i6YLzSRVlVcmLRI8vGkFIEVw_Rdybua0brQ6P130YnCTlKknmHX9N_-d_J4XaR</recordid><startdate>201812</startdate><enddate>201812</enddate><creator>Mazanoglu, Kemal</creator><creator>Kandemir-Mazanoglu, Elif C</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</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>201812</creationdate><title>A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks</title><author>Mazanoglu, Kemal ; Kandemir-Mazanoglu, Elif C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-e677ef9be621a530c276c13d9a4fc04ca2c2053d3498933734de7460e7df4eff3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Beam theory (structures)</topic><topic>Columns (structural)</topic><topic>Continuity (mathematics)</topic><topic>Cracks</topic><topic>Equivalence</topic><topic>Euler-Bernoulli beams</topic><topic>Finite element method</topic><topic>Frame structures</topic><topic>Frames</topic><topic>Resonant frequencies</topic><topic>Springs (elastic)</topic><topic>Stiffness</topic><topic>Vibration</topic><topic>Vibration analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mazanoglu, Kemal</creatorcontrib><creatorcontrib>Kandemir-Mazanoglu, Elif C</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications 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>Journal of vibration and control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mazanoglu, Kemal</au><au>Kandemir-Mazanoglu, Elif C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks</atitle><jtitle>Journal of vibration and control</jtitle><date>2018-12</date><risdate>2018</risdate><volume>24</volume><issue>24</issue><spage>5794</spage><epage>5810</epage><pages>5794-5810</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>This paper is on the natural frequency and mode shape computation of frame structures with column cracks. First, a model of intact frame structures is built to perform vibration analysis. Beam elements are considered as lumped masses and rotational springs at the storey levels of frames. Equivalent model of columns and lumped mass-stiffness effects of beams have been combined to carry out continuous solution for the anti-symmetric mode in-plane vibrations of frames. In addition, frame systems with multiple column cracks are analyzed in terms of anti-symmetric mode vibration characteristics. Cracks are considered as massless rotational springs in compliance with the local flexibility model. Compatibility and continuity conditions are satisfied at crack and storey locations of the equivalent column, modeled using the Euler–Bernoulli beam theory. The proposed method is tested for single-storey single- and multi-bay, H-type and double-storey single-bay frame systems with intact and cracked columns. 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| ispartof | Journal of vibration and control, 2018-12, Vol.24 (24), p.5794-5810 |
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| source | SAGE Complete A-Z List |
| subjects | Beam theory (structures) Columns (structural) Continuity (mathematics) Cracks Equivalence Euler-Bernoulli beams Finite element method Frame structures Frames Resonant frequencies Springs (elastic) Stiffness Vibration Vibration analysis |
| title | A new simplified method for anti-symmetric mode in-plane vibrations of frame structures with column cracks |
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