Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary conditions
In the present paper, asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness resting on Winkler elastic foundation is studied by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz method. Convergence of the results is tested and com...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOS Press
2008
|
| Subjects: | |
| Online Access: | http://eprints.usm.my/38373/1/Asymmetric_Vibration_of_Polar_Orthotropic_Annular_Circular_Plates_of_Quadratically_Varying.pdf |
| _version_ | 1817928295199539200 |
|---|---|
| author | N., Bhardwaj A.P., Gupta Choong, K.K. |
| author_facet | N., Bhardwaj A.P., Gupta Choong, K.K. |
| author_sort | N., Bhardwaj |
| collection | USM |
| description | In the present paper, asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness
resting on Winkler elastic foundation is studied by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz
method. Convergence of the results is tested and comparison is made with results already available in the existing literature.
Numerical results for the first ten frequencies for various values of parameters describing width of annular plate, thickness profile,
material orthotropy and foundation constant for all three possible combinations of clamped, simply supported and free edge
conditions are shown and discussed. It is found that (a) higher elastic property in circumferential direction leads to higher stiffness
against lateral vibration; (b) Lateral vibration characteristics of F-F plates is more sensitive towards parametric changes in
material orthotropy and foundation stiffness thanC-C and S-S plates; (c) Effect of quadratical thickness variation on fundamental
frequency is more significant in cases of C-C and S-S plates than that of F-F plates. Thickness profile which is convex relative
to plate center-line tends to result in higher stiffness of annular plates against lateral vibration than the one which is concave and
(d) Fundamental mode of vibration of C-C and S-S plates is axisymmetrical while that of F-F plates is asymmetrical. |
| first_indexed | 2024-03-06T15:13:49Z |
| format | Article |
| id | usm.eprints-38373 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-12-09T02:32:04Z |
| publishDate | 2008 |
| publisher | IOS Press |
| record_format | dspace |
| spelling | usm.eprints-383732024-12-03T08:35:05Z http://eprints.usm.my/38373/ Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary conditions N., Bhardwaj A.P., Gupta Choong, K.K. TA1-2040 Engineering (General). Civil engineering (General) In the present paper, asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness resting on Winkler elastic foundation is studied by using boundary characteristic orthonormal polynomials in Rayleigh-Ritz method. Convergence of the results is tested and comparison is made with results already available in the existing literature. Numerical results for the first ten frequencies for various values of parameters describing width of annular plate, thickness profile, material orthotropy and foundation constant for all three possible combinations of clamped, simply supported and free edge conditions are shown and discussed. It is found that (a) higher elastic property in circumferential direction leads to higher stiffness against lateral vibration; (b) Lateral vibration characteristics of F-F plates is more sensitive towards parametric changes in material orthotropy and foundation stiffness thanC-C and S-S plates; (c) Effect of quadratical thickness variation on fundamental frequency is more significant in cases of C-C and S-S plates than that of F-F plates. Thickness profile which is convex relative to plate center-line tends to result in higher stiffness of annular plates against lateral vibration than the one which is concave and (d) Fundamental mode of vibration of C-C and S-S plates is axisymmetrical while that of F-F plates is asymmetrical. IOS Press 2008 Article PeerReviewed application/pdf en http://eprints.usm.my/38373/1/Asymmetric_Vibration_of_Polar_Orthotropic_Annular_Circular_Plates_of_Quadratically_Varying.pdf N., Bhardwaj and A.P., Gupta and Choong, K.K. (2008) Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary conditions. Shock and Vibration, 15 (6). pp. 599-617. ISSN 1070-9622 http://dx.doi.org/10.1155/2008/858025 |
| spellingShingle | TA1-2040 Engineering (General). Civil engineering (General) N., Bhardwaj A.P., Gupta Choong, K.K. Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary conditions |
| title | Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary
conditions |
| title_full | Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary
conditions |
| title_fullStr | Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary
conditions |
| title_full_unstemmed | Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary
conditions |
| title_short | Asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary
conditions |
| title_sort | asymmetric vibration of polar orthotropic annular circular plates of quadratically varying thickness with same boundary conditions |
| topic | TA1-2040 Engineering (General). Civil engineering (General) |
| url | http://eprints.usm.my/38373/1/Asymmetric_Vibration_of_Polar_Orthotropic_Annular_Circular_Plates_of_Quadratically_Varying.pdf |
| work_keys_str_mv | AT nbhardwaj asymmetricvibrationofpolarorthotropicannularcircularplatesofquadraticallyvaryingthicknesswithsameboundaryconditions AT apgupta asymmetricvibrationofpolarorthotropicannularcircularplatesofquadraticallyvaryingthicknesswithsameboundaryconditions AT choongkk asymmetricvibrationofpolarorthotropicannularcircularplatesofquadraticallyvaryingthicknesswithsameboundaryconditions |