A stochastic investigation of effect of temperature on natural frequencies of functionally graded plates
A stochastic investigation of effect of temperature on natural frequencies of functionally graded plates
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.
Finite element method, Free vibration, Functionally graded plates, Monte Carlo simulation, Multivariate adaptive regression splines, Thermal uncertainty
41-53
Karsh, P. K.
b039f77d-f480-4493-b2a9-325b04e3cbaf
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Dey, S.
a0bfd052-184a-480e-8208-29725b59ac0f
2020
Karsh, P. K.
b039f77d-f480-4493-b2a9-325b04e3cbaf
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Dey, S.
a0bfd052-184a-480e-8208-29725b59ac0f
Karsh, P. K., Mukhopadhyay, T. and Dey, S.
(2020)
A stochastic investigation of effect of temperature on natural frequencies of functionally graded plates.
In,
Lecture Notes in Civil Engineering.
(Lecture Notes in Civil Engineering, 38)
Springer, .
(doi:10.1007/978-981-13-7615-3_3).
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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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Published date: 2020
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Funding Information:
Acknowledgements P. K. Karsh received financial support from the MHRD, Government of India, during this research work.
Publisher Copyright:
© 2020, Springer Nature Singapore Pte Ltd.
Keywords:
Finite element method, Free vibration, Functionally graded plates, Monte Carlo simulation, Multivariate adaptive regression splines, Thermal uncertainty
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Local EPrints ID: 483887
URI: http://eprints.soton.ac.uk/id/eprint/483887
ISSN: 2366-2557
PURE UUID: a11a1a5b-a7a8-4f9c-92f4-6a47e03b8c19
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Date deposited: 07 Nov 2023 18:05
Last modified: 18 Mar 2024 04:10
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Author:
P. K. Karsh
Author:
T. Mukhopadhyay
Author:
S. Dey
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