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Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition
For wave-absorbing control, the ideal controller transfer function H(s), which connects the sensor output to the control force, contains the imaginary unit i = −1 explicitly. Therefore, H(s) cannot be implemented directly by convolution integration of the sensor output with the inverse Laplace trans...
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| Published in: | Journal of vibration and acoustics 1999-10, Vol.121 (4), p.468-475 |
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| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-a308t-e92212abaa4d7e7df07c6f85dfe0e8d3c2d5cce713f3279ddc32eed47e00489f3 |
| container_end_page | 475 |
| container_issue | 4 |
| container_start_page | 468 |
| container_title | Journal of vibration and acoustics |
| container_volume | 121 |
| creator | Utsumi, M |
| description | For wave-absorbing control, the ideal controller transfer function H(s), which connects the sensor output to the control force, contains the imaginary unit i = −1 explicitly. Therefore, H(s) cannot be implemented directly by convolution integration of the sensor output with the inverse Laplace transform of H(s). In this paper, this problem is solved by imposing the synchronization condition on the bases of H(s). The condition requires that the instantaneous frequencies of the control force and the incident wave be the same. In other words, the instantaneous frequency of the control force varies with time in synchronization with the frequency components of the wave that are arriving at the wave-absorbing point with different group velocities. Therefore, the condition is referred to as the synchronization condition in this paper. The solution method is applicable to various combinations of sensor and actuator. Experimental verification is presented for a simulated case. The parameters of the digital algorithm for the experiment are determined analytically by using a complex error function and a generating function expansion of the Bessel function. |
| doi_str_mv | 10.1115/1.2894004 |
| format | article |
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Therefore, H(s) cannot be implemented directly by convolution integration of the sensor output with the inverse Laplace transform of H(s). In this paper, this problem is solved by imposing the synchronization condition on the bases of H(s). The condition requires that the instantaneous frequencies of the control force and the incident wave be the same. In other words, the instantaneous frequency of the control force varies with time in synchronization with the frequency components of the wave that are arriving at the wave-absorbing point with different group velocities. Therefore, the condition is referred to as the synchronization condition in this paper. The solution method is applicable to various combinations of sensor and actuator. Experimental verification is presented for a simulated case. The parameters of the digital algorithm for the experiment are determined analytically by using a complex error function and a generating function expansion of the Bessel function.</description><identifier>ISSN: 1048-9002</identifier><identifier>EISSN: 1528-8927</identifier><identifier>DOI: 10.1115/1.2894004</identifier><language>eng</language><publisher>New York, NY: ASME</publisher><subject>Acoustic variables control ; Actuators ; Algorithms ; Beams and girders ; Computer simulation ; Error analysis ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Laplace transforms ; Physics ; Sensors ; Solid mechanics ; Structural and continuum mechanics ; Synchronization ; Transfer functions ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) ; Vibrations and mechanical waves</subject><ispartof>Journal of vibration and acoustics, 1999-10, Vol.121 (4), p.468-475</ispartof><rights>1999 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a308t-e92212abaa4d7e7df07c6f85dfe0e8d3c2d5cce713f3279ddc32eed47e00489f3</citedby><cites>FETCH-LOGICAL-a308t-e92212abaa4d7e7df07c6f85dfe0e8d3c2d5cce713f3279ddc32eed47e00489f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,786,790,27957,27958,38554</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=1996013$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Utsumi, M</creatorcontrib><title>Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition</title><title>Journal of vibration and acoustics</title><addtitle>J. Vib. Acoust</addtitle><description>For wave-absorbing control, the ideal controller transfer function H(s), which connects the sensor output to the control force, contains the imaginary unit i = −1 explicitly. Therefore, H(s) cannot be implemented directly by convolution integration of the sensor output with the inverse Laplace transform of H(s). In this paper, this problem is solved by imposing the synchronization condition on the bases of H(s). The condition requires that the instantaneous frequencies of the control force and the incident wave be the same. In other words, the instantaneous frequency of the control force varies with time in synchronization with the frequency components of the wave that are arriving at the wave-absorbing point with different group velocities. Therefore, the condition is referred to as the synchronization condition in this paper. The solution method is applicable to various combinations of sensor and actuator. Experimental verification is presented for a simulated case. The parameters of the digital algorithm for the experiment are determined analytically by using a complex error function and a generating function expansion of the Bessel function.</description><subject>Acoustic variables control</subject><subject>Actuators</subject><subject>Algorithms</subject><subject>Beams and girders</subject><subject>Computer simulation</subject><subject>Error analysis</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Laplace transforms</subject><subject>Physics</subject><subject>Sensors</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Synchronization</subject><subject>Transfer functions</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><subject>Vibrations and mechanical waves</subject><issn>1048-9002</issn><issn>1528-8927</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><recordid>eNpFkE1LAzEURYMoqNWFazezEMTFaD5mmmRZi1VBcKHFZUiTF41kkppMxfrrndKCq3cX5154B6Ezgq8JIe0NuaZCNhg3e-iItFTUQlK-P2TciFpiTA_RcSmfGBPG2vYIuUnUYd17o0P12C0DdBB73fsUq-SqN_0N9WRRUl74-F5NU-xzCpVLuZoF-PGLANUt6K5U87IBXtbRfOQU_e92YihYv0kn6MDpUOB0d0doPrt7nT7UT8_3j9PJU60ZFn0NklJC9ULrxnLg1mFuxk601gEGYZmhtjUGOGGOUS6tNYwC2IbD8LGQjo3Q5XZ3mdPXCkqvOl8MhKAjpFVRvBljMpaiHcirLWlyKiWDU8vsO53XimC1UamI2qkc2Ivdqi6DKJd1NL78F6Qcb3yO0PkW06UD9ZlWeXBbVEMJJ4L9ATVWfZ4</recordid><startdate>19991001</startdate><enddate>19991001</enddate><creator>Utsumi, M</creator><general>ASME</general><general>American Society of Mechanical Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TC</scope></search><sort><creationdate>19991001</creationdate><title>Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition</title><author>Utsumi, M</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a308t-e92212abaa4d7e7df07c6f85dfe0e8d3c2d5cce713f3279ddc32eed47e00489f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Acoustic variables control</topic><topic>Actuators</topic><topic>Algorithms</topic><topic>Beams and girders</topic><topic>Computer simulation</topic><topic>Error analysis</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Laplace transforms</topic><topic>Physics</topic><topic>Sensors</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Synchronization</topic><topic>Transfer functions</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><topic>Vibrations and mechanical waves</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Utsumi, M</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical Engineering Abstracts</collection><jtitle>Journal of vibration and acoustics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Utsumi, M</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition</atitle><jtitle>Journal of vibration and acoustics</jtitle><stitle>J. Vib. Acoust</stitle><date>1999-10-01</date><risdate>1999</risdate><volume>121</volume><issue>4</issue><spage>468</spage><epage>475</epage><pages>468-475</pages><issn>1048-9002</issn><eissn>1528-8927</eissn><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><abstract>For wave-absorbing control, the ideal controller transfer function H(s), which connects the sensor output to the control force, contains the imaginary unit i = −1 explicitly. Therefore, H(s) cannot be implemented directly by convolution integration of the sensor output with the inverse Laplace transform of H(s). In this paper, this problem is solved by imposing the synchronization condition on the bases of H(s). The condition requires that the instantaneous frequencies of the control force and the incident wave be the same. In other words, the instantaneous frequency of the control force varies with time in synchronization with the frequency components of the wave that are arriving at the wave-absorbing point with different group velocities. Therefore, the condition is referred to as the synchronization condition in this paper. The solution method is applicable to various combinations of sensor and actuator. Experimental verification is presented for a simulated case. The parameters of the digital algorithm for the experiment are determined analytically by using a complex error function and a generating function expansion of the Bessel function.</abstract><cop>New York, NY</cop><pub>ASME</pub><doi>10.1115/1.2894004</doi><tpages>8</tpages></addata></record> |
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| ispartof | Journal of vibration and acoustics, 1999-10, Vol.121 (4), p.468-475 |
| issn | 1048-9002 1528-8927 |
| language | eng |
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| source | ASME Transactions Journals (Archives) |
| subjects | Acoustic variables control Actuators Algorithms Beams and girders Computer simulation Error analysis Exact sciences and technology Fundamental areas of phenomenology (including applications) Laplace transforms Physics Sensors Solid mechanics Structural and continuum mechanics Synchronization Transfer functions Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves |
| title | Analytical Implementation of Wave-Absorbing Control for Flexible Beams Using Synchronization Condition |
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