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Structural Engineering and Mechanics Volume 63, Number 1, July10 2017 , pages 103-113 DOI: https://doi.org/10.12989/sem.2017.63.1.103 |
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Eigenfrequencies of simply supported taper plates with cut-outs |
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Kanak Kalita and Salil Haldar
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| Abstract | ||
| Free vibration analysis of plates is necessary for the field of structural engineering because of its wide applications in practical life. Free vibration of plates is largely dependent on its thickness, aspect ratios, and boundary conditions. Here we investigate the natural frequencies of simply supported tapered isotropic rectangular plates with internal cutouts using a nine node isoparametric element. The effect of rotary inertia on Eigenfrequencies was demonstrated by calculating with- and without rotary inertia. We found that rotary inertia has a significant effect on thick plates, while rotary inertia term can be ignored in thin plates. Based on comparison with literature data, we propose that the present formulation is capable of yielding highly accurate results. Internal cutouts at various positions in tapered rectangular simply supported plates were also studied. Novel data are also reported for skew taper plates. | ||
| Key Words | ||
| finite element method; FSDT; rectangular plate; taper; rotary inertia; free vibration | ||
| Address | ||
| Department of Aerospace Engineering and Applied Mechanics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India | ||