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Natural Frequencies of Rectangular Plate With- and Without-Rotary Inertia
Abstract A nine-node isoparametric plate element, in conjunction with first-order shear deformation theory, was used for free vibration analysis of rectangular plates. Both thick and thin plate problems were solved for various aspect ratios and boundary conditions. In this work, the primary focus is on the effect of rotary inertia on the natural frequencies of rectangular plates. It is found that rotary inertia significantly affects thick plates, while it can be ignored for thin plates. The numerical convergence is very rapid and based on a comparison with data from the literature; it is proposed that the present formulation can yield highly accurate results. Finally, some numerical solutions are provided here, which may serve as benchmarks for future research on similar problems.
Natural Frequencies of Rectangular Plate With- and Without-Rotary Inertia
Abstract A nine-node isoparametric plate element, in conjunction with first-order shear deformation theory, was used for free vibration analysis of rectangular plates. Both thick and thin plate problems were solved for various aspect ratios and boundary conditions. In this work, the primary focus is on the effect of rotary inertia on the natural frequencies of rectangular plates. It is found that rotary inertia significantly affects thick plates, while it can be ignored for thin plates. The numerical convergence is very rapid and based on a comparison with data from the literature; it is proposed that the present formulation can yield highly accurate results. Finally, some numerical solutions are provided here, which may serve as benchmarks for future research on similar problems.
Natural Frequencies of Rectangular Plate With- and Without-Rotary Inertia
Kalita, Kanak (Autor:in) / Haldar, Salil (Autor:in)
Journal of The Institution of Engineers (India): Series C ; 99 ; 539-555
16.07.2016
17 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Natural Frequencies of Rectangular Plate With- and Without-Rotary Inertia
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