Free vibration analysis of annular sector plates via conical shell equations
In this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadratu...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-01-01
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| Series: | Curved and Layered Structures |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cls-2017-0011 |
| _version_ | 1829499858236473344 |
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| author | Demir Çiğdem Ersoy Hakan Mercan Kadir Civalek Ömer |
| author_facet | Demir Çiğdem Ersoy Hakan Mercan Kadir Civalek Ömer |
| author_sort | Demir Çiğdem |
| collection | DOAJ |
| description | In this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadrature (DQ) are used for solution of the vibration problem of annular plates for some special value of semi-vertex angle via conical shell equation. The obtained numerical results based on the two numerical approaches for annular sector plates compare well with the results available in the literature. The effects of some geometric parameters, grid numbers and types of the grid distribution have been discussed for curved plates. |
| first_indexed | 2024-12-16T08:43:44Z |
| format | Article |
| id | doaj.art-ffdc4cfc5e1e4cb79c3f3c9607c176b3 |
| institution | Directory Open Access Journal |
| issn | 2353-7396 |
| language | English |
| last_indexed | 2024-12-16T08:43:44Z |
| publishDate | 2017-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj.art-ffdc4cfc5e1e4cb79c3f3c9607c176b32022-12-21T22:37:39ZengDe GruyterCurved and Layered Structures2353-73962017-01-014114615710.1515/cls-2017-0011cls-2017-0011Free vibration analysis of annular sector plates via conical shell equationsDemir Çiğdem0Ersoy Hakan1Mercan Kadir2Civalek Ömer3Akdeniz University, Engineering Faculty, Civil Engineering Dep., Division of Mechanics 07058, Antalya, TurkeyAkdeniz University, Engineering Faculty, Mechanical Engineering Dep., Division of Mechanics 070058, Antalya, TurkeyAkdeniz University, Engineering Faculty, Civil Engineering Dep., Division of Mechanics 07058, Antalya, TurkeyAkdeniz University, Engineering Faculty, Civil Engineering Dep., Division of Mechanics 07058, Antalya, TurkeyIn this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadrature (DQ) are used for solution of the vibration problem of annular plates for some special value of semi-vertex angle via conical shell equation. The obtained numerical results based on the two numerical approaches for annular sector plates compare well with the results available in the literature. The effects of some geometric parameters, grid numbers and types of the grid distribution have been discussed for curved plates.https://doi.org/10.1515/cls-2017-0011free vibrationannular platesector platesdiscrete singular convolutiondifferential quadrature |
| spellingShingle | Demir Çiğdem Ersoy Hakan Mercan Kadir Civalek Ömer Free vibration analysis of annular sector plates via conical shell equations Curved and Layered Structures free vibration annular plate sector plates discrete singular convolution differential quadrature |
| title | Free vibration analysis of annular sector plates via conical shell equations |
| title_full | Free vibration analysis of annular sector plates via conical shell equations |
| title_fullStr | Free vibration analysis of annular sector plates via conical shell equations |
| title_full_unstemmed | Free vibration analysis of annular sector plates via conical shell equations |
| title_short | Free vibration analysis of annular sector plates via conical shell equations |
| title_sort | free vibration analysis of annular sector plates via conical shell equations |
| topic | free vibration annular plate sector plates discrete singular convolution differential quadrature |
| url | https://doi.org/10.1515/cls-2017-0011 |
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