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Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates

Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates
Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates
This paper presents a generic multivariate adaptive regression splines-based approach for dynamics and stability analysis of sandwich plates with random system parameters. The propagation of uncertainty in such structures has significant computational challenges due to inherent structural complexity and high dimensional space of input parameters. The theoretical formulation is developed based on a refined C0 stochastic finite element model and higher-order zigzag theory in conjunction with multivariate adaptive regression splines. A cubical function is considered for the in-plane parameters as a combination of a linear zigzag function with different slopes at each layer over the entire thickness while a quadratic function is assumed for the out-of-plane parameters of the core and constant in the face sheets. Both individual and combined stochastic effect of skew angle, layer-wise thickness, and material properties (both core and laminate) of sandwich plates are considered in this study. The present approach introduces the multivariate adaptive regression splines-based surrogates for sandwich plates to achieve computational efficiency compared to direct Monte Carlo simulation. Statistical analyses are carried out to illustrate the results of the first three stochastic natural frequencies and buckling load.
366-397
Dey, Somdip
dc1f4ac8-911a-4395-83d4-d64af172587d
Mukhopadhyay, T.
30a52c74-d9f7-4617-af88-32d44f07aca6
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Dey, TK
70fd9491-039c-4d49-ae8b-620001e7d6a8
Chalak, HD
be15aebe-8a3a-4f8c-bf11-b0cfe3ab8598
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Dey, Somdip
dc1f4ac8-911a-4395-83d4-d64af172587d
Mukhopadhyay, T.
30a52c74-d9f7-4617-af88-32d44f07aca6
Naskar, Susmita
5f787953-b062-4774-a28b-473bd19254b1
Dey, TK
70fd9491-039c-4d49-ae8b-620001e7d6a8
Chalak, HD
be15aebe-8a3a-4f8c-bf11-b0cfe3ab8598
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626

Dey, Somdip, Mukhopadhyay, T., Naskar, Susmita, Dey, TK, Chalak, HD and Adhikari, S. (2017) Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates. Journal of Sandwich Structures & Materials, 21 (1), 366-397. (doi:10.1177/1099636217694229).

Record type: Article

Abstract

This paper presents a generic multivariate adaptive regression splines-based approach for dynamics and stability analysis of sandwich plates with random system parameters. The propagation of uncertainty in such structures has significant computational challenges due to inherent structural complexity and high dimensional space of input parameters. The theoretical formulation is developed based on a refined C0 stochastic finite element model and higher-order zigzag theory in conjunction with multivariate adaptive regression splines. A cubical function is considered for the in-plane parameters as a combination of a linear zigzag function with different slopes at each layer over the entire thickness while a quadratic function is assumed for the out-of-plane parameters of the core and constant in the face sheets. Both individual and combined stochastic effect of skew angle, layer-wise thickness, and material properties (both core and laminate) of sandwich plates are considered in this study. The present approach introduces the multivariate adaptive regression splines-based surrogates for sandwich plates to achieve computational efficiency compared to direct Monte Carlo simulation. Statistical analyses are carried out to illustrate the results of the first three stochastic natural frequencies and buckling load.

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More information

e-pub ahead of print date: 1 June 2017
Published date: 1 June 2017

Identifiers

Local EPrints ID: 453465
URI: http://eprints.soton.ac.uk/id/eprint/453465
PURE UUID: 77a49230-52df-423c-b1d1-4a71b2473dcd
ORCID for Susmita Naskar: ORCID iD orcid.org/0000-0003-3294-8333

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Date deposited: 18 Jan 2022 17:34
Last modified: 17 Mar 2024 04:07

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Contributors

Author: Somdip Dey
Author: T. Mukhopadhyay
Author: Susmita Naskar ORCID iD
Author: TK Dey
Author: HD Chalak
Author: S. Adhikari

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