Impact Vibration of Two Beams(Mechanical Systems)
Impact vibration of two beams was treated as an example of the impact vibration of continuous systems that are expressed by vibration modes and following points were researched by numerical calculation and experiment. (a) The number of modes needed to express the impact vibration phenomena sufficien...
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| Veröffentlicht in: | Nihon Kikai Gakkai ronbunshū. C 2010/03/25, Vol.76(763), pp.483-491 |
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| container_title | Nihon Kikai Gakkai ronbunshū. C |
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| creator | HARADA, Akira YOSHITAKE, Yutaka OGINO, Hiroaki |
| description | Impact vibration of two beams was treated as an example of the impact vibration of continuous systems that are expressed by vibration modes and following points were researched by numerical calculation and experiment. (a) The number of modes needed to express the impact vibration phenomena sufficiently. (b) Whether there is the grazing bifurcation or not. (c) The energy level of each mode that excited by the impacts. The followings were made clear. (1) By adopting six natural modes, the theoretical result and the experimental ones about bifurcation diagram agree well each other qualitatively, and the characteristic of the diagram is a little different from that of the beam impacted to the wall. (2) The transition from periodic vibration to chaos is interpreted as the grazing bifurcation and its bifurcation becomes a little different one depending on the phase relation of the beams. (3) The tendency of the energy levels of the modes excited by the impacts is similar to that of the beam impacted to the wall, but the levels are little lower. |
| doi_str_mv | 10.1299/kikaic.76.483 |
| format | Article |
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(a) The number of modes needed to express the impact vibration phenomena sufficiently. (b) Whether there is the grazing bifurcation or not. (c) The energy level of each mode that excited by the impacts. The followings were made clear. (1) By adopting six natural modes, the theoretical result and the experimental ones about bifurcation diagram agree well each other qualitatively, and the characteristic of the diagram is a little different from that of the beam impacted to the wall. (2) The transition from periodic vibration to chaos is interpreted as the grazing bifurcation and its bifurcation becomes a little different one depending on the phase relation of the beams. 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(3) The tendency of the energy levels of the modes excited by the impacts is similar to that of the beam impacted to the wall, but the levels are little lower.</description><subject>Beams (structural)</subject><subject>Bifurcation</subject><subject>Bifurcation theory</subject><subject>Bifurcations</subject><subject>Chaos and Fractal</subject><subject>Chaos theory</subject><subject>Collision</subject><subject>Energy levels</subject><subject>Excitation</subject><subject>Forced Vibration</subject><subject>Grazing</subject><subject>Impact</subject><subject>Mathematical analysis</subject><subject>Nonlinear Vibration</subject><subject>Phase transformations</subject><subject>Vibration</subject><subject>Vibration mode</subject><subject>Walls</subject><issn>0387-5024</issn><issn>1884-8354</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNo90DtPwzAQwHELgURVOrJnA4YEX-z4MULFo1AEEoXVclwHTPModirUb4-rVJ1u-Z3l-yN0DjiDXMrrlVtpZzLOMirIERqBEDQVpKDHaISJ4GmBc3qKJiG4EmMsCZNEjBDMmrU2ffLpSq9717VJVyWLvy65tboJly_WfOvWGV0n79vQ2yZcnaGTStfBTvZzjD7u7xbTx3T--jCb3sxTAyInKWgLhJvcMEGXWOucA8GYlJDDcplTK1nJjGGGV0XJcUUKXAHDVOiKcpARj9HF8O7ad78bG3rVuGBsXevWdpugRLyQABMsynSQxncheFuptXeN9lsFWO3iqCGO4kzFONG_Df4n9PrLHrT2vTO13ev4Cbnb4IzsxvNTrIYZMC4FO9BYxyvbkn_n3HGp</recordid><startdate>20100325</startdate><enddate>20100325</enddate><creator>HARADA, Akira</creator><creator>YOSHITAKE, Yutaka</creator><creator>OGINO, Hiroaki</creator><general>The Japan Society of Mechanical Engineers</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope></search><sort><creationdate>20100325</creationdate><title>Impact Vibration of Two Beams(Mechanical Systems)</title><author>HARADA, Akira ; YOSHITAKE, Yutaka ; OGINO, Hiroaki</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c1823-1ae137c2c684d0aa2713003b121dd24e96b6cc6c7f5b70f350f16048af4719713</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng ; jpn</language><creationdate>2010</creationdate><topic>Beams (structural)</topic><topic>Bifurcation</topic><topic>Bifurcation theory</topic><topic>Bifurcations</topic><topic>Chaos and Fractal</topic><topic>Chaos theory</topic><topic>Collision</topic><topic>Energy levels</topic><topic>Excitation</topic><topic>Forced Vibration</topic><topic>Grazing</topic><topic>Impact</topic><topic>Mathematical analysis</topic><topic>Nonlinear Vibration</topic><topic>Phase transformations</topic><topic>Vibration</topic><topic>Vibration mode</topic><topic>Walls</topic><toplevel>online_resources</toplevel><creatorcontrib>HARADA, Akira</creatorcontrib><creatorcontrib>YOSHITAKE, Yutaka</creatorcontrib><creatorcontrib>OGINO, Hiroaki</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><jtitle>Nihon Kikai Gakkai ronbunshū. 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(c) The energy level of each mode that excited by the impacts. The followings were made clear. (1) By adopting six natural modes, the theoretical result and the experimental ones about bifurcation diagram agree well each other qualitatively, and the characteristic of the diagram is a little different from that of the beam impacted to the wall. (2) The transition from periodic vibration to chaos is interpreted as the grazing bifurcation and its bifurcation becomes a little different one depending on the phase relation of the beams. (3) The tendency of the energy levels of the modes excited by the impacts is similar to that of the beam impacted to the wall, but the levels are little lower.</abstract><pub>The Japan Society of Mechanical Engineers</pub><doi>10.1299/kikaic.76.483</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0387-5024 |
| ispartof | Transactions of the Japan Society of Mechanical Engineers Series C, 2010/03/25, Vol.76(763), pp.483-491 |
| issn | 0387-5024 1884-8354 |
| language | eng ; jpn |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; J-STAGE (Japan Science & Technology Information Aggregator, Electronic) Freely Available Titles - Japanese |
| subjects | Beams (structural) Bifurcation Bifurcation theory Bifurcations Chaos and Fractal Chaos theory Collision Energy levels Excitation Forced Vibration Grazing Impact Mathematical analysis Nonlinear Vibration Phase transformations Vibration Vibration mode Walls |
| title | Impact Vibration of Two Beams(Mechanical Systems) |
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