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

S. Dey, T. Mukhopadhyay, S. Naskar, T. K. Dey, H. D. Chalak, S. Adhikari

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)366-397
Number of pages32
JournalJournal of sandwich structures and materials
Volume21
Issue number1
Early online date1 Jun 2017
DOIs
Publication statusPublished - 1 Jan 2019

Fingerprint

Splines
Computational efficiency
Laminates
Buckling
Natural frequencies
Materials properties
Monte Carlo simulation
Uncertainty

Keywords

  • Uncertainty quantification
  • sandwich plates
  • composites
  • stochastic natural frequency
  • stochastic buckling load
  • multivariate adaptive regression splines
  • COMPOSITE PLATES
  • SHEAR DEFORMATION-THEORY
  • LAYERWISE THEORY
  • UNCERTAINTY QUANTIFICATION
  • DAMPING ANALYSIS
  • STOCHASTIC NATURAL FREQUENCY
  • FINITE-ELEMENT
  • STATIC DEFORMATIONS
  • ZIGZAG THEORY
  • FREE-VIBRATION ANALYSIS

ASJC Scopus subject areas

  • Mechanics of Materials
  • Ceramics and Composites
  • Mechanical Engineering

Cite this

Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates. / Dey, S.; Mukhopadhyay, T.; Naskar, S.; Dey, T. K.; Chalak, H. D.; Adhikari, S.

In: Journal of sandwich structures and materials, Vol. 21, No. 1, 01.01.2019, p. 366-397.

Research output: Contribution to journalArticle

Dey, S. ; Mukhopadhyay, T. ; Naskar, S. ; Dey, T. K. ; Chalak, H. D. ; Adhikari, S. / Probabilistic characterization for dynamics and stability of laminated soft core sandwich plates. In: Journal of sandwich structures and materials. 2019 ; Vol. 21, No. 1. pp. 366-397.
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