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A Stochastic Investigation of Effect of Temperature on Natural Frequencies of Functionally Graded Plates

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Advances in Structural Engineering and Rehabilitation

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 38))

Abstract

The present paper deals with thermal uncertainty quantification in the free vibration of functionally graded materials (FGMs) cantilever plate by using the finite element method coupled with multivariate adaptive regression splines surrogate (MARS) model. The combined effects of uncertainty in material properties on the natural frequency are examined. The power law is employed for gradation of material properties across the depth of FGM plate, while the Touloukian model is used to evaluate temperature effects on the material properties. In finite element analysis (FEA), eight noded iso-parametric elements are considered with each element having five degrees of freedoms. In MARS, Sobol sampling is employed to train the model, which results in better convergence and accuracy. The results of MARS model are validated with Monte Carlo simulation results. The results reveal that MARS model can achieve a significant level of accuracy without compromising the accuracy of results.

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Acknowledgements

P. K. Karsh received financial support from the MHRD, Government of India, during this research work.

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Authors and Affiliations

  1. Mechanical Engineering Department, National Institute of Technology Silchar, Silchar, India

    P. K. Karsh & S. Dey

  2. Department of Engineering Science, University of Oxford, Oxford, UK

    T. Mukhopadhyay

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  1. P. K. Karsh
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  2. T. Mukhopadhyay
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  3. S. Dey
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Corresponding author

Correspondence to P. K. Karsh .

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Editors and Affiliations

  1. Swansea University, Swansea, Wales, UK

    Sondipon Adhikari

  2. Indian Institute of Technology Delhi, New Delhi, India

    B. Bhattacharjee

  3. Amity University, Noida, India

    J. Bhattacharjee

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Karsh, P.K., Mukhopadhyay, T., Dey, S. (2020). A Stochastic Investigation of Effect of Temperature on Natural Frequencies of Functionally Graded Plates. In: Adhikari, S., Bhattacharjee, B., Bhattacharjee, J. (eds) Advances in Structural Engineering and Rehabilitation. Lecture Notes in Civil Engineering , vol 38. Springer, Singapore. https://doi.org/10.1007/978-981-13-7615-3_3

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  • DOI: https://doi.org/10.1007/978-981-13-7615-3_3

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  • Online ISBN: 978-981-13-7615-3

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