Nonlinear dynamic buckling of multi-DOF structural dissipative systems under impact loading
The nonlinear dynamic buckling characteristics of multi-degree-of-freedom (MDOF), dissipative systems under impact loading are investigated. A fully plastic impact due to a striking body falling freely from a given height is postulated. The initial velocities of the system immediately after impact a...
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| Veröffentlicht in: | International journal of impact engineering 1997, Vol.19 (1), p.63-80 |
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| container_title | International journal of impact engineering |
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| creator | Kounadis, A.N. Gantes, C. Simitses, G. |
| description | The nonlinear dynamic buckling characteristics of multi-degree-of-freedom (MDOF), dissipative systems under impact loading are investigated. A fully plastic impact due to a striking body falling freely from a given height is postulated. The initial velocities of the system immediately after impact are determined analytically by applying the law of impulse momentum. The resulting response is governed by autonomous highly nonlinear ordinary differential equations (O.D.E.) which can be integrated only numerically. Instead, a qualitative analysis based on energy criteria is performed which allows to readily establish approximate dynamic buckling loads, very good for structural design purposes, as well as lower and upper bound dynamic buckling estimates for step loading and impact loading with given initial momentum. The efficiency and reliability of the proposed method is comprehensively demonstrated through numerous examples of two- and three-degree-of-freedom models. |
| doi_str_mv | 10.1016/S0734-743X(96)00006-1 |
| format | Article |
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A fully plastic impact due to a striking body falling freely from a given height is postulated. The initial velocities of the system immediately after impact are determined analytically by applying the law of impulse momentum. The resulting response is governed by autonomous highly nonlinear ordinary differential equations (O.D.E.) which can be integrated only numerically. Instead, a qualitative analysis based on energy criteria is performed which allows to readily establish approximate dynamic buckling loads, very good for structural design purposes, as well as lower and upper bound dynamic buckling estimates for step loading and impact loading with given initial momentum. The efficiency and reliability of the proposed method is comprehensively demonstrated through numerous examples of two- and three-degree-of-freedom models.</description><subject>autonomous differential equations</subject><subject>dissipation</subject><subject>dynamic buckling</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>impact loading</subject><subject>multi-DOF systems</subject><subject>nonlinear</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><issn>0734-743X</issn><issn>1879-3509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNqFkEtLxDAQx4MouD4-gpCDiB6qSZo07UnEN4h7UEHwELLJVKJ9rJl0Yb-9XVe8OpeB4f9gfoQccHbKGS_OnpjOZaZl_npcFSdsnCLjG2TCS11luWLVJpn8SbbJDuIHY1wzxSbk7bHvmtCBjdQvO9sGR2eD-xxP77SvaTs0KWRX0xuKKQ4uDdE21AfEMLcpLIDiEhO0SIfOQ6ShnVuXaNNbPwbska3aNgj7v3uXvNxcP1_eZQ_T2_vLi4fM5YVOmau5UKWQ4MvCSsGklEpprZXyWnIhNIAruQeoNCjgdlbPcgGCCS-KvASd75Kjde489l8DYDJtQAdNYzvoBzRCC8XzQo5CtRa62CNGqM08htbGpeHMrFCaH5RmxclUhflBafjoO_wtsOhsU0fbuYB_ZqEUY3oVf76WwfjsIkA06AJ0DnyI4JLxffin6BuKHokZ</recordid><startdate>1997</startdate><enddate>1997</enddate><creator>Kounadis, A.N.</creator><creator>Gantes, C.</creator><creator>Simitses, G.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>1997</creationdate><title>Nonlinear dynamic buckling of multi-DOF structural dissipative systems under impact loading</title><author>Kounadis, A.N. ; Gantes, C. ; Simitses, G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c367t-cf125824ed86a4204445577755d741227eec81dee97e5e1abfb32e202d2638e73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>autonomous differential equations</topic><topic>dissipation</topic><topic>dynamic buckling</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>impact loading</topic><topic>multi-DOF systems</topic><topic>nonlinear</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kounadis, A.N.</creatorcontrib><creatorcontrib>Gantes, C.</creatorcontrib><creatorcontrib>Simitses, G.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>International journal of impact engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kounadis, A.N.</au><au>Gantes, C.</au><au>Simitses, G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear dynamic buckling of multi-DOF structural dissipative systems under impact loading</atitle><jtitle>International journal of impact engineering</jtitle><date>1997</date><risdate>1997</risdate><volume>19</volume><issue>1</issue><spage>63</spage><epage>80</epage><pages>63-80</pages><issn>0734-743X</issn><eissn>1879-3509</eissn><coden>IJIED4</coden><abstract>The nonlinear dynamic buckling characteristics of multi-degree-of-freedom (MDOF), dissipative systems under impact loading are investigated. 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| ispartof | International journal of impact engineering, 1997, Vol.19 (1), p.63-80 |
| issn | 0734-743X 1879-3509 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | autonomous differential equations dissipation dynamic buckling Exact sciences and technology Fundamental areas of phenomenology (including applications) impact loading multi-DOF systems nonlinear Physics Solid mechanics Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| title | Nonlinear dynamic buckling of multi-DOF structural dissipative systems under impact loading |
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