Analysis of rigidly fixed vibrations of nonlocal isotropic thermoelastic sphere with voids
The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential e...
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| creator | Thakur, P. C. Thakur, D. Sharma, D. K. Sharma, S. R. |
| description | The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential equations has been resulted in displacement, temperature,voids concentration and stresses. For rigidly fixed thermal boundary conditions, the frequency equation for the prolongation of vibrations with respect to mode numbers in the specified sphere is obtained in closed form. To investigate vibration analysis using frequency equations, we use Matlab software to generate data using the numerical iteration method. The frequency shift and damping are numerically computed and the simulated results are represented graphically. |
| doi_str_mv | 10.1063/5.0095263 |
| format | Conference Proceeding |
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C. ; Thakur, D. ; Sharma, D. K. ; Sharma, S. R.</creator><contributor>Srivastav, Arun Lal ; Dutt, Ishwar ; Sharma, Sita Ram ; Kumar, Ashok ; Taneja, Ashu ; Gupta, Madhu ; Kumra, Neha ; Batra, Shefali</contributor><creatorcontrib>Thakur, P. C. ; Thakur, D. ; Sharma, D. K. ; Sharma, S. R. ; Srivastav, Arun Lal ; Dutt, Ishwar ; Sharma, Sita Ram ; Kumar, Ashok ; Taneja, Ashu ; Gupta, Madhu ; Kumra, Neha ; Batra, Shefali</creatorcontrib><description>The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential equations has been resulted in displacement, temperature,voids concentration and stresses. For rigidly fixed thermal boundary conditions, the frequency equation for the prolongation of vibrations with respect to mode numbers in the specified sphere is obtained in closed form. To investigate vibration analysis using frequency equations, we use Matlab software to generate data using the numerical iteration method. 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K.</creatorcontrib><creatorcontrib>Sharma, S. R.</creatorcontrib><title>Analysis of rigidly fixed vibrations of nonlocal isotropic thermoelastic sphere with voids</title><title>AIP conference proceedings</title><description>The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential equations has been resulted in displacement, temperature,voids concentration and stresses. For rigidly fixed thermal boundary conditions, the frequency equation for the prolongation of vibrations with respect to mode numbers in the specified sphere is obtained in closed form. To investigate vibration analysis using frequency equations, we use Matlab software to generate data using the numerical iteration method. The frequency shift and damping are numerically computed and the simulated results are represented graphically.</description><subject>Boundary conditions</subject><subject>Damping</subject><subject>Differential equations</subject><subject>Frequency analysis</subject><subject>Frequency shift</subject><subject>Graphical representations</subject><subject>Iterative methods</subject><subject>Mathematical analysis</subject><subject>Prolongation</subject><subject>Stress concentration</subject><subject>Vibration analysis</subject><subject>Voids</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2022</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotUMtKAzEUDaJgrS78g4A7YWreSZelaBUKbhTETcgkGZsynYxJWu3fO7Zd3fPiwjkA3GI0wUjQBz5BaMqJoGdghDnHlRRYnIPRoLKKMPpxCa5yXiNEplKqEficdabd55BhbGAKX8G1e9iEX-_gLtTJlBC7g9fFro3WtDDkWFLsg4Vl5dMm-tbkMrDcD9TDn1BWcBeDy9fgojFt9jenOwbvT49v8-dq-bp4mc-WVY8pLZX1iDGCamSZahyRRknmBlyjmlPqKcVE1Qw3TjKLDPVECeWoE6hWynMr6BjcHf_2KX5vfS56HbdpqJU1kYRwJTGXQ-r-mMo2lEMt3aewMWmvMdL_22muT9vRP4VtYbI</recordid><startdate>20221007</startdate><enddate>20221007</enddate><creator>Thakur, P. 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R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p133t-ce04420b0c48fd27a874dc48b0b533e33128b41fd74c0a3e2868d3d60b88e5c63</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Boundary conditions</topic><topic>Damping</topic><topic>Differential equations</topic><topic>Frequency analysis</topic><topic>Frequency shift</topic><topic>Graphical representations</topic><topic>Iterative methods</topic><topic>Mathematical analysis</topic><topic>Prolongation</topic><topic>Stress concentration</topic><topic>Vibration analysis</topic><topic>Voids</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Thakur, P. C.</creatorcontrib><creatorcontrib>Thakur, D.</creatorcontrib><creatorcontrib>Sharma, D. K.</creatorcontrib><creatorcontrib>Sharma, S. 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R.</au><au>Srivastav, Arun Lal</au><au>Dutt, Ishwar</au><au>Sharma, Sita Ram</au><au>Kumar, Ashok</au><au>Taneja, Ashu</au><au>Gupta, Madhu</au><au>Kumra, Neha</au><au>Batra, Shefali</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Analysis of rigidly fixed vibrations of nonlocal isotropic thermoelastic sphere with voids</atitle><btitle>AIP conference proceedings</btitle><date>2022-10-07</date><risdate>2022</risdate><volume>2451</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The present paper has been concerned with the exact analysis of homogeneous rigidly fixed vibrations of nonlocal thermo-elastic hollow sphere with voids. The time-harmonics has been employed to convert governing equations to ordinary differential equations. Elimination of simultaneous differential equations has been resulted in displacement, temperature,voids concentration and stresses. For rigidly fixed thermal boundary conditions, the frequency equation for the prolongation of vibrations with respect to mode numbers in the specified sphere is obtained in closed form. To investigate vibration analysis using frequency equations, we use Matlab software to generate data using the numerical iteration method. The frequency shift and damping are numerically computed and the simulated results are represented graphically.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0095263</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
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| ispartof | AIP conference proceedings, 2022, Vol.2451 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_proquest_journals_2722587157 |
| source | AIP Journals Complete |
| subjects | Boundary conditions Damping Differential equations Frequency analysis Frequency shift Graphical representations Iterative methods Mathematical analysis Prolongation Stress concentration Vibration analysis Voids |
| title | Analysis of rigidly fixed vibrations of nonlocal isotropic thermoelastic sphere with voids |
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