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Free Vibration Response of Functionally Graded Cylindrical Shells Using a Four-Node Flat Shell Element
In the present work, a flat shell quadrilateral element with four nodes is developed for the free vibration analysis of Functionally Graded Cylindrical Shells by modifying the ‘discrete Kirchhoff quadrilateral plate element’ based on Reddy’s third-order theory developed earlier by the second author. This four-node shell element has seven degrees of freedom (DOF) per node, namely three displacements, two rotations of mid-plane, and two transverse shear strain components. In the present work, Functionally Graded Cylindrical shell panels with simply supported and clamped boundary conditions, with various R/a ratios and with different volume fraction indices, are analysed for free vibration response. The property variation through the thickness is according to the power law. To assess the performance of the developed element, the results, of non-dimensionalised frequencies, are compared with the results presented in the literature. A comparison of results shows that the developed element yields quite accurate results with a coarser mesh, which leads to computational efficiency.
Free Vibration Response of Functionally Graded Cylindrical Shells Using a Four-Node Flat Shell Element
In the present work, a flat shell quadrilateral element with four nodes is developed for the free vibration analysis of Functionally Graded Cylindrical Shells by modifying the ‘discrete Kirchhoff quadrilateral plate element’ based on Reddy’s third-order theory developed earlier by the second author. This four-node shell element has seven degrees of freedom (DOF) per node, namely three displacements, two rotations of mid-plane, and two transverse shear strain components. In the present work, Functionally Graded Cylindrical shell panels with simply supported and clamped boundary conditions, with various R/a ratios and with different volume fraction indices, are analysed for free vibration response. The property variation through the thickness is according to the power law. To assess the performance of the developed element, the results, of non-dimensionalised frequencies, are compared with the results presented in the literature. A comparison of results shows that the developed element yields quite accurate results with a coarser mesh, which leads to computational efficiency.
Free Vibration Response of Functionally Graded Cylindrical Shells Using a Four-Node Flat Shell Element
Lecture Notes in Civil Engineering
Ranadive, M. S. (editor) / Das, Bibhuti Bhusan (editor) / Mehta, Yusuf A. (editor) / Gupta, Rishi (editor) / Dahale, R. B. (author) / Kulkarni, S. D. (author) / Dagade, V. A. (author)
2022-09-28
15 pages
Article/Chapter (Book)
Electronic Resource
English
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