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Natural Vibration of Square Plate with Circular Variation in Thickness

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 742))

Abstract

In this paper, the authors study natural vibration of non-uniform and non-homogeneous square plate on clamped boundary condition. The authors characterize circular variation in thickness in x-direction and bi-linear temperature variation along both the axes. For non-homogeneity, the author viewed linear variation in density parameter along x-direction. Rayleigh–Ritz technique has been applied to obtained frequency equation and first two modes of vibration of square plate for different values of taper constant, non-homogeneity constant and temperature gradient. All the results are presented in tabular form.

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Correspondence to Amit Sharma .

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© 2019 Springer Nature Singapore Pte Ltd.

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Sharma, A., Kumar, P. (2019). Natural Vibration of Square Plate with Circular Variation in Thickness. In: Ray, K., Sharma, T., Rawat, S., Saini, R., Bandyopadhyay, A. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 742. Springer, Singapore. https://doi.org/10.1007/978-981-13-0589-4_29

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