Free Vibration Analysis of Composite Conical Shells with Variable Thickness
Free vibration of conical shells of variable thickness is analysed under shear deformation theory with simply supported and clamped free boundary conditions by applying collocation with spline approximation. Sinusoidal thickness variation of layers is assumed in axial direction. Displacements and ro...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/4028607 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832568144019849216 |
|---|---|
| author | Saira Javed F. H. H. Al Mukahal M. A. Salama |
| author_facet | Saira Javed F. H. H. Al Mukahal M. A. Salama |
| author_sort | Saira Javed |
| collection | DOAJ |
| description | Free vibration of conical shells of variable thickness is analysed under shear deformation theory with simply supported and clamped free boundary conditions by applying collocation with spline approximation. Sinusoidal thickness variation of layers is assumed in axial direction. Displacements and rotational functions are approximated by Bickley-type splines of order three and a generalized eigenvalue problem is obtained. This problem is solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration of composite conical shells consisting of three layers and five layers where each layer is made up of different materials is analysed. Parametric studies are made for analysing the frequencies of the shell with respect to the coefficients of thickness variations, length ratio, cone angle, circumferential node number, and different ply angles with different combinations of the materials. The results are presented in terms of tables and graphs. |
| format | Article |
| id | doaj-art-54899532e0774916a5c2f1d3a4342400 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-54899532e0774916a5c2f1d3a43424002025-02-03T00:59:42ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/40286074028607Free Vibration Analysis of Composite Conical Shells with Variable ThicknessSaira Javed0F. H. H. Al Mukahal1M. A. Salama2Department of Mathematics and Statistics, College of Science, King Faisal University, P. O. Box 400, Hofuf 31982, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, King Faisal University, P. O. Box 400, Hofuf 31982, Saudi ArabiaDeanship of Common First Year, Jouf University, Sakaka, Saudi ArabiaFree vibration of conical shells of variable thickness is analysed under shear deformation theory with simply supported and clamped free boundary conditions by applying collocation with spline approximation. Sinusoidal thickness variation of layers is assumed in axial direction. Displacements and rotational functions are approximated by Bickley-type splines of order three and a generalized eigenvalue problem is obtained. This problem is solved numerically for an eigenfrequency parameter and an associated eigenvector of spline coefficients. The vibration of composite conical shells consisting of three layers and five layers where each layer is made up of different materials is analysed. Parametric studies are made for analysing the frequencies of the shell with respect to the coefficients of thickness variations, length ratio, cone angle, circumferential node number, and different ply angles with different combinations of the materials. The results are presented in terms of tables and graphs.http://dx.doi.org/10.1155/2020/4028607 |
| spellingShingle | Saira Javed F. H. H. Al Mukahal M. A. Salama Free Vibration Analysis of Composite Conical Shells with Variable Thickness Shock and Vibration |
| title | Free Vibration Analysis of Composite Conical Shells with Variable Thickness |
| title_full | Free Vibration Analysis of Composite Conical Shells with Variable Thickness |
| title_fullStr | Free Vibration Analysis of Composite Conical Shells with Variable Thickness |
| title_full_unstemmed | Free Vibration Analysis of Composite Conical Shells with Variable Thickness |
| title_short | Free Vibration Analysis of Composite Conical Shells with Variable Thickness |
| title_sort | free vibration analysis of composite conical shells with variable thickness |
| url | http://dx.doi.org/10.1155/2020/4028607 |
| work_keys_str_mv | AT sairajaved freevibrationanalysisofcompositeconicalshellswithvariablethickness AT fhhalmukahal freevibrationanalysisofcompositeconicalshellswithvariablethickness AT masalama freevibrationanalysisofcompositeconicalshellswithvariablethickness |