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Stochastic natural frequency analysis of skewed sandwich plates

R.R. Kumar (Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, India)
P.K. Karsh (Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, India)
Vaishali (Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, India)
K.M. Pandey (Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, India)
S. Dey (Department of Mechanical Engineering, National Institute of Technology Silchar, Silchar, India)

Engineering Computations

ISSN: 0264-4401

Article publication date: 15 July 2019

Issue publication date: 12 September 2019

Abstract

Purpose

The purpose of this paper is to investigate the first three stochastic natural frequencies of skewed sandwich plates, considering uncertain system parameters. To conduct the sensitivity analysis for checking the criticality of input parameters.

Design/methodology/approach

The theoretical formulation is developed based on higher-order-zigzag theory in accordance with the radial basis function (RBF) and stochastic finite element (FE) model. A cubic function is considered for in-plane displacement over thickness while a quadratic function is considered for transverse displacement within the core and remains constant in the facesheet. RBF is used as a surrogate model to achieve computational efficiency and accuracy. In the present study, the individual and combined effect of ply-orientation angle, skew angle, number of lamina, core thickness and material properties are considered for natural frequency analysis of sandwich plates.

Findings

Results presented in this paper illustrates that the skewness in the sandwich plate significantly affects the global dynamic behaviour of the structure. RBF surrogate model coupled with stochastic FE approach significantly reduced the computational time (more than 1/18 times) compared to direct Monte Carlo simulation approach.

Originality/value

The stochastic results for dynamic stability of sandwich plates show that the inevitable source uncertainties present in the input parameters result in significant variation from the deterministic value demonstrates the need for inclusive design paradigm considering stochastic effects. The present paper comprehensively establishes a generalized new RBF-based FE approach for efficient stochastic analysis, which can be applicable to other complex structures too.

Keywords

Acknowledgements

The first, second and third author would like to acknowledge the financial support received from the Ministry of Human Resource and Development (MHRD), Govt. of India during the period of this research work.

Citation

Kumar, R.R., Karsh, P.K., , V., Pandey, K.M. and Dey, S. (2019), "Stochastic natural frequency analysis of skewed sandwich plates", Engineering Computations, Vol. 36 No. 7, pp. 2179-2199. https://doi.org/10.1108/EC-01-2019-0034

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited