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Stochastic free vibration analyses of composite shallow doubly curved shells - A Kriging model approach

Stochastic free vibration analyses of composite shallow doubly curved shells - A Kriging model approach
Stochastic free vibration analyses of composite shallow doubly curved shells - A Kriging model approach

This paper presents the Kriging model approach for stochastic free vibration analysis of composite shallow doubly curved shells. The finite element formulation is carried out considering rotary inertia and transverse shear deformation based on Mindlin's theory. The stochastic natural frequencies are expressed in terms of Kriging surrogate models. The influence of random variation of different input parameters on the output natural frequencies is addressed. The sampling size and computational cost is reduced by employing the present method compared to direct Monte Carlo simulation. The convergence studies and error analysis are carried out to ensure the accuracy of present approach. The stochastic mode shapes and frequency response function are also depicted for a typical laminate configuration. Statistical analysis is presented to illustrate the results using Kriging model and its performance.

A. Polymer-matrix composites (PMCs), B. Vibration, C. Computational modeling, C. Finite element analysis (FEA), Uncertainty quantification
1359-8368
99-112
Dey, Sudip
ad19fb29-0675-43ef-85a6-69aedc394525
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, Sondipon
12cf62cf-340a-4da6-9ad4-f4dd64384a73
Dey, Sudip
ad19fb29-0675-43ef-85a6-69aedc394525
Mukhopadhyay, Tanmoy
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, Sondipon
12cf62cf-340a-4da6-9ad4-f4dd64384a73

Dey, Sudip, Mukhopadhyay, Tanmoy and Adhikari, Sondipon (2015) Stochastic free vibration analyses of composite shallow doubly curved shells - A Kriging model approach. Composites Part B: Engineering, 70, 99-112. (doi:10.1016/j.compositesb.2014.10.043).

Record type: Article

Abstract

This paper presents the Kriging model approach for stochastic free vibration analysis of composite shallow doubly curved shells. The finite element formulation is carried out considering rotary inertia and transverse shear deformation based on Mindlin's theory. The stochastic natural frequencies are expressed in terms of Kriging surrogate models. The influence of random variation of different input parameters on the output natural frequencies is addressed. The sampling size and computational cost is reduced by employing the present method compared to direct Monte Carlo simulation. The convergence studies and error analysis are carried out to ensure the accuracy of present approach. The stochastic mode shapes and frequency response function are also depicted for a typical laminate configuration. Statistical analysis is presented to illustrate the results using Kriging model and its performance.

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More information

Published date: 1 March 2015
Additional Information: Publisher Copyright: © 2014 Elsevier Ltd.
Keywords: A. Polymer-matrix composites (PMCs), B. Vibration, C. Computational modeling, C. Finite element analysis (FEA), Uncertainty quantification

Identifiers

Local EPrints ID: 483523
URI: http://eprints.soton.ac.uk/id/eprint/483523
ISSN: 1359-8368
PURE UUID: 5f02a6e4-9830-44bc-912f-e95579607470

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Date deposited: 01 Nov 2023 17:51
Last modified: 18 Mar 2024 04:10

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Contributors

Author: Sudip Dey
Author: Tanmoy Mukhopadhyay
Author: Sondipon Adhikari

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