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Free Vibration Analysis of Functionally Graded Plates Under Thermal Environment Using Four-Node Quadrilateral Element

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Recent Advances in Structural Engineering, Volume 2

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 12))

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Abstract

In this work, the four-node quadrilateral element having seven degrees of freedom per node developed earlier by the second author and his co-workers is modified for free vibration analysis of functionally graded plates under thermal environment. The performance of the modified element is assessed by comparing the present results of non-dimensionalised natural frequencies with the available analytical as well as the finite element results. It is observed that the performance of the present element is quite satisfactory for the isotopic FGM plates under thermal environment considered in this study with all edges simply supported as well as with all edges clamped boundary conditions.

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References

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Correspondence to S. D. Kulkarni .

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Deshpande, G.A., Kulkarni, S.D. (2019). Free Vibration Analysis of Functionally Graded Plates Under Thermal Environment Using Four-Node Quadrilateral Element. In: Rao, A., Ramanjaneyulu, K. (eds) Recent Advances in Structural Engineering, Volume 2. Lecture Notes in Civil Engineering , vol 12. Springer, Singapore. https://doi.org/10.1007/978-981-13-0365-4_12

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  • DOI: https://doi.org/10.1007/978-981-13-0365-4_12

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0364-7

  • Online ISBN: 978-981-13-0365-4

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