Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input
In order to calculate the pressure pulsations in pipelines in the frequency domain, it is necessary to linearize the nonlinear damping elements, under conditions where the flow is periodic in time, but not sinusoidal. The authors have previously proposed an idea for the equivalent linearization in s...
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| Veröffentlicht in: | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 1987/01/25, Vol.53(485), pp.59-64 |
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| container_title | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C |
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| creator | MOHRI, Yasuhiro HAYAMA, Shinji |
| description | In order to calculate the pressure pulsations in pipelines in the frequency domain, it is necessary to linearize the nonlinear damping elements, under conditions where the flow is periodic in time, but not sinusoidal. The authors have previously proposed an idea for the equivalent linearization in such cases, namely that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. In this paper, the response for the pressure pulsations of a ladder circuit is calculated, by applying several flow inputs, and by using the equivalent to the difference equations to describe the relations of flow and pressure in a pipe element. The obtained results are all in good agreement with those obtained by the Runge-Kutta-Gill method. So the linearization obtained by suing this idea is useful for calculating the pressure pulsations. |
| doi_str_mv | 10.1299/kikaic.53.59 |
| format | Article |
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The authors have previously proposed an idea for the equivalent linearization in such cases, namely that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. In this paper, the response for the pressure pulsations of a ladder circuit is calculated, by applying several flow inputs, and by using the equivalent to the difference equations to describe the relations of flow and pressure in a pipe element. The obtained results are all in good agreement with those obtained by the Runge-Kutta-Gill method. So the linearization obtained by suing this idea is useful for calculating the pressure pulsations.</description><identifier>ISSN: 0387-5024</identifier><identifier>EISSN: 1884-8354</identifier><identifier>DOI: 10.1299/kikaic.53.59</identifier><language>eng ; jpn</language><publisher>The Japan Society of Mechanical Engineers</publisher><subject>Equivalent Linearization ; Fluid Vibration ; Nonlinear Damping ; Nonsinusoidal Flow Input ; Pipelines ; Transfer Matrix</subject><ispartof>Transactions of the Japan Society of Mechanical Engineers Series C, 1987/01/25, Vol.53(485), pp.59-64</ispartof><rights>The Japan Society of Mechanical Engineers</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2419-d34cf99aba0f3877df9a42da3ff585d7b754e52f7bc887c81d12f8c87e75b7e83</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1877,4010,27900,27901,27902</link.rule.ids></links><search><creatorcontrib>MOHRI, Yasuhiro</creatorcontrib><creatorcontrib>HAYAMA, Shinji</creatorcontrib><title>Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input</title><title>TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C</title><addtitle>JSMET</addtitle><description>In order to calculate the pressure pulsations in pipelines in the frequency domain, it is necessary to linearize the nonlinear damping elements, under conditions where the flow is periodic in time, but not sinusoidal. The authors have previously proposed an idea for the equivalent linearization in such cases, namely that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. In this paper, the response for the pressure pulsations of a ladder circuit is calculated, by applying several flow inputs, and by using the equivalent to the difference equations to describe the relations of flow and pressure in a pipe element. The obtained results are all in good agreement with those obtained by the Runge-Kutta-Gill method. So the linearization obtained by suing this idea is useful for calculating the pressure pulsations.</description><subject>Equivalent Linearization</subject><subject>Fluid Vibration</subject><subject>Nonlinear Damping</subject><subject>Nonsinusoidal Flow Input</subject><subject>Pipelines</subject><subject>Transfer Matrix</subject><issn>0387-5024</issn><issn>1884-8354</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1987</creationdate><recordtype>article</recordtype><recordid>eNo90NFKwzAUBuAgCo65Ox8gD7DOpElM4t0YTgdDx9DrkqaJi8vSkqTI3t7Oya5-OHznwPkBuMdohkspH_Zur5yeMTJj8gqMsBC0EITRazBCRPCCoZLegklKrkYISfIoiRiB49akNqiQ4fzQeZf7xiTYWriJJqU-GrjpfVLZtQG6ADeuM96FgTxBmndwa7o25ilcKK97_8fSyeWdGWbJnC69DTMX-tS6Rnm49O0PXIWuz3fgxiqfzOQ_x-Bz-fyxeC3W7y-rxXxd6JJiWTSEaiulqhWywxu8sVLRslHEWiZYw2vOqGGl5bUWgmuBG1xaoQU3nNXcCDIG0_NdHduUorFVF91BxWOFUXVqrjo3VzFSMTnw1Zl_p6y-zAWrmJ325h9jyeVpgQp2CXkxeqdiZQL5BUCPflg</recordid><startdate>1987</startdate><enddate>1987</enddate><creator>MOHRI, Yasuhiro</creator><creator>HAYAMA, Shinji</creator><general>The Japan Society of Mechanical Engineers</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>1987</creationdate><title>Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input</title><author>MOHRI, Yasuhiro ; HAYAMA, Shinji</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2419-d34cf99aba0f3877df9a42da3ff585d7b754e52f7bc887c81d12f8c87e75b7e83</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng ; jpn</language><creationdate>1987</creationdate><topic>Equivalent Linearization</topic><topic>Fluid Vibration</topic><topic>Nonlinear Damping</topic><topic>Nonsinusoidal Flow Input</topic><topic>Pipelines</topic><topic>Transfer Matrix</topic><toplevel>online_resources</toplevel><creatorcontrib>MOHRI, Yasuhiro</creatorcontrib><creatorcontrib>HAYAMA, Shinji</creatorcontrib><collection>CrossRef</collection><jtitle>TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>MOHRI, Yasuhiro</au><au>HAYAMA, Shinji</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input</atitle><jtitle>TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C</jtitle><addtitle>JSMET</addtitle><date>1987</date><risdate>1987</risdate><volume>53</volume><issue>485</issue><spage>59</spage><epage>64</epage><pages>59-64</pages><issn>0387-5024</issn><eissn>1884-8354</eissn><abstract>In order to calculate the pressure pulsations in pipelines in the frequency domain, it is necessary to linearize the nonlinear damping elements, under conditions where the flow is periodic in time, but not sinusoidal. The authors have previously proposed an idea for the equivalent linearization in such cases, namely that two coefficients should be determined, one for the steady flow and the other for the fluctuating flow. In this paper, the response for the pressure pulsations of a ladder circuit is calculated, by applying several flow inputs, and by using the equivalent to the difference equations to describe the relations of flow and pressure in a pipe element. The obtained results are all in good agreement with those obtained by the Runge-Kutta-Gill method. So the linearization obtained by suing this idea is useful for calculating the pressure pulsations.</abstract><pub>The Japan Society of Mechanical Engineers</pub><doi>10.1299/kikaic.53.59</doi><tpages>6</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, 1987/01/25, Vol.53(485), pp.59-64 |
| issn | 0387-5024 1884-8354 |
| language | eng ; jpn |
| recordid | cdi_crossref_primary_10_1299_kikaic_53_59 |
| source | J-STAGE Free; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Equivalent Linearization Fluid Vibration Nonlinear Damping Nonsinusoidal Flow Input Pipelines Transfer Matrix |
| title | Resonant Amplitudes of Pressure Pulsation in Pipelines : 4th Report, Calculations in the Case of Nonsinusoidal Flow Input |
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