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Investigation of the effects of frequency veering phenomenon in a pre-twisted and double-tapered rotating Timoshenko beam
The natural frequency curve veering phenomena have been significant and used in several structural dynamic problems. By formulating a pre-twisted and double-tapered rotating Timoshenko beam as a structural problem, variations in mode interactions among coupled axial, chordwise, and flapwise motions...
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Published in: | Journal of vibration and control 2024-04, Vol.30 (7-8), p.1706-1720 |
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creator | D, Sachin Reddy Degalhal, Mallikarjuna |
description | The natural frequency curve veering phenomena have been significant and used in several structural dynamic problems. By formulating a pre-twisted and double-tapered rotating Timoshenko beam as a structural problem, variations in mode interactions among coupled axial, chordwise, and flapwise motions were presented. Rotordynamic effects such as gyroscopic couple, centrifugal stiffening, and spin softening effects were taken into account while establishing the equations of motion. Hamilton’s principle was used in deriving the equations of motion and is discretized based on Galerkin finite element method. Using dimensionless parameters, the model was verified with the existing literature for rotation, pre-twist, and double-taper configurations. A comparison of the frequency veering regions among the Euler–Bernoulli beam and Timoshenko beam theories is presented. Two-dimensional mode shape plots were used to show the coupled motions between axial displacement, chordwise bending, and flapwise bending. The effects of pre-twist and double-taper in the non-rotating Timoshenko beam on the modal properties of the rotating beam were examined. Natural frequency maps were drawn to locate the frequency veering curves. Mode interactions around different veering regions were shown with variations in mode shapes. An investigation on 60° pre-twisted and 0.5 ratio double-tapered rotating Timoshenko beam is presented. |
doi_str_mv | 10.1177/10775463231169810 |
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By formulating a pre-twisted and double-tapered rotating Timoshenko beam as a structural problem, variations in mode interactions among coupled axial, chordwise, and flapwise motions were presented. Rotordynamic effects such as gyroscopic couple, centrifugal stiffening, and spin softening effects were taken into account while establishing the equations of motion. Hamilton’s principle was used in deriving the equations of motion and is discretized based on Galerkin finite element method. Using dimensionless parameters, the model was verified with the existing literature for rotation, pre-twist, and double-taper configurations. A comparison of the frequency veering regions among the Euler–Bernoulli beam and Timoshenko beam theories is presented. Two-dimensional mode shape plots were used to show the coupled motions between axial displacement, chordwise bending, and flapwise bending. The effects of pre-twist and double-taper in the non-rotating Timoshenko beam on the modal properties of the rotating beam were examined. Natural frequency maps were drawn to locate the frequency veering curves. Mode interactions around different veering regions were shown with variations in mode shapes. An investigation on 60° pre-twisted and 0.5 ratio double-tapered rotating Timoshenko beam is presented.</description><identifier>ISSN: 1077-5463</identifier><identifier>EISSN: 1741-2986</identifier><identifier>DOI: 10.1177/10775463231169810</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Bending ; Coupled modes ; Equations of motion ; Euler-Bernoulli beams ; Finite element method ; Hamilton's principle ; Resonant frequencies ; Rotation ; Rotor dynamics ; Stiffening ; Tapering ; Timoshenko beams</subject><ispartof>Journal of vibration and control, 2024-04, Vol.30 (7-8), p.1706-1720</ispartof><rights>The Author(s) 2023</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c264t-a23d5b6e52f5f0bf698d57be5dbe25fe381863f5bac8b40f56a0bc813ca502563</cites><orcidid>0000-0003-1434-144X ; 0000-0002-7988-0172</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925,79364</link.rule.ids></links><search><creatorcontrib>D, Sachin</creatorcontrib><creatorcontrib>Reddy Degalhal, Mallikarjuna</creatorcontrib><title>Investigation of the effects of frequency veering phenomenon in a pre-twisted and double-tapered rotating Timoshenko beam</title><title>Journal of vibration and control</title><description>The natural frequency curve veering phenomena have been significant and used in several structural dynamic problems. By formulating a pre-twisted and double-tapered rotating Timoshenko beam as a structural problem, variations in mode interactions among coupled axial, chordwise, and flapwise motions were presented. Rotordynamic effects such as gyroscopic couple, centrifugal stiffening, and spin softening effects were taken into account while establishing the equations of motion. Hamilton’s principle was used in deriving the equations of motion and is discretized based on Galerkin finite element method. Using dimensionless parameters, the model was verified with the existing literature for rotation, pre-twist, and double-taper configurations. A comparison of the frequency veering regions among the Euler–Bernoulli beam and Timoshenko beam theories is presented. Two-dimensional mode shape plots were used to show the coupled motions between axial displacement, chordwise bending, and flapwise bending. The effects of pre-twist and double-taper in the non-rotating Timoshenko beam on the modal properties of the rotating beam were examined. Natural frequency maps were drawn to locate the frequency veering curves. Mode interactions around different veering regions were shown with variations in mode shapes. An investigation on 60° pre-twisted and 0.5 ratio double-tapered rotating Timoshenko beam is presented.</description><subject>Bending</subject><subject>Coupled modes</subject><subject>Equations of motion</subject><subject>Euler-Bernoulli beams</subject><subject>Finite element method</subject><subject>Hamilton's principle</subject><subject>Resonant frequencies</subject><subject>Rotation</subject><subject>Rotor dynamics</subject><subject>Stiffening</subject><subject>Tapering</subject><subject>Timoshenko beams</subject><issn>1077-5463</issn><issn>1741-2986</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLAzEUhYMoWKs_wF3A9dQ8JpnpUoqPguCmrockc9NO7SRjklb6781QwYW4CMm9Od-5nIvQLSUzSqvqnpKqEqXkjFMq5zUlZ2hCq5IWbF7L8_zO_8UouERXMW4JIWVJyQQdl-4AMXVrlTrvsLc4bQCDtWBSHEsb4HMPzhzxASB0bo2HDTjf5-Nw57DCQ4AifXUxQYuVa3Hr93qXW2qAkFvBp-yduVXX-5jZD481qP4aXVi1i3Dzc0_R-9PjavFSvL49LxcPr4VhskyFYrwVWoJgVliibQ7XikqDaDUwYYHXtJbcCq1MrUtihVREm5pyowRhQvIpujv5DsHnJDE1W78PLo9sOGGEc0bmo4qeVCb4GAPYZghdr8KxoaQZN9z82XBmZicmqjX8uv4PfAMmvn0_</recordid><startdate>202404</startdate><enddate>202404</enddate><creator>D, Sachin</creator><creator>Reddy Degalhal, Mallikarjuna</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><orcidid>https://orcid.org/0000-0003-1434-144X</orcidid><orcidid>https://orcid.org/0000-0002-7988-0172</orcidid></search><sort><creationdate>202404</creationdate><title>Investigation of the effects of frequency veering phenomenon in a pre-twisted and double-tapered rotating Timoshenko beam</title><author>D, Sachin ; Reddy Degalhal, Mallikarjuna</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c264t-a23d5b6e52f5f0bf698d57be5dbe25fe381863f5bac8b40f56a0bc813ca502563</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Bending</topic><topic>Coupled modes</topic><topic>Equations of motion</topic><topic>Euler-Bernoulli beams</topic><topic>Finite element method</topic><topic>Hamilton's principle</topic><topic>Resonant frequencies</topic><topic>Rotation</topic><topic>Rotor dynamics</topic><topic>Stiffening</topic><topic>Tapering</topic><topic>Timoshenko beams</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>D, Sachin</creatorcontrib><creatorcontrib>Reddy Degalhal, Mallikarjuna</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>D, Sachin</au><au>Reddy Degalhal, Mallikarjuna</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Investigation of the effects of frequency veering phenomenon in a pre-twisted and double-tapered rotating Timoshenko beam</atitle><jtitle>Journal of vibration and control</jtitle><date>2024-04</date><risdate>2024</risdate><volume>30</volume><issue>7-8</issue><spage>1706</spage><epage>1720</epage><pages>1706-1720</pages><issn>1077-5463</issn><eissn>1741-2986</eissn><abstract>The natural frequency curve veering phenomena have been significant and used in several structural dynamic problems. By formulating a pre-twisted and double-tapered rotating Timoshenko beam as a structural problem, variations in mode interactions among coupled axial, chordwise, and flapwise motions were presented. Rotordynamic effects such as gyroscopic couple, centrifugal stiffening, and spin softening effects were taken into account while establishing the equations of motion. Hamilton’s principle was used in deriving the equations of motion and is discretized based on Galerkin finite element method. Using dimensionless parameters, the model was verified with the existing literature for rotation, pre-twist, and double-taper configurations. A comparison of the frequency veering regions among the Euler–Bernoulli beam and Timoshenko beam theories is presented. Two-dimensional mode shape plots were used to show the coupled motions between axial displacement, chordwise bending, and flapwise bending. The effects of pre-twist and double-taper in the non-rotating Timoshenko beam on the modal properties of the rotating beam were examined. Natural frequency maps were drawn to locate the frequency veering curves. Mode interactions around different veering regions were shown with variations in mode shapes. An investigation on 60° pre-twisted and 0.5 ratio double-tapered rotating Timoshenko beam is presented.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/10775463231169810</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0003-1434-144X</orcidid><orcidid>https://orcid.org/0000-0002-7988-0172</orcidid></addata></record> |
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subjects | Bending Coupled modes Equations of motion Euler-Bernoulli beams Finite element method Hamilton's principle Resonant frequencies Rotation Rotor dynamics Stiffening Tapering Timoshenko beams |
title | Investigation of the effects of frequency veering phenomenon in a pre-twisted and double-tapered rotating Timoshenko beam |
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