Thermal uncertainty quantification in frequency responses of laminated composite plates

Abstract

The propagation of thermal uncertainty in composite structures has significant computational challenges. This paper presents the thermal, ply-level and material uncertainty propagation in frequency responses of laminated composite plates by employing surrogate model which is capable of dealing with both correlated and uncorrelated input parameters. The present approach introduces the generalized high dimensional model representation (GHDMR) wherein diffeomorphic modulation under observable response preserving homotopy (D-MORPH) regression is utilized to ensure the hierarchical orthogonality of high dimensional model representation component functions. The stochastic range of thermal field includes elevated temperatures up to 375K and sub-zero temperatures up to cryogenic range of 125K.Statistical analysis of the first three natural frequencies is presented to illustrate the results and its performance.

Modal characteristics of P- and S-FGM plates with temperature-dependent materials in thermal environment

“…Qian and Batra [19,20] coped with several mechanical, thermal, and thermomechanical problems of FGM structures. Dey et al [21], who studied the thermal uncertainty quanti cation in frequency responses of laminated composite plates. Other interesting results on the thermal analysis of FGM and layered structures are given in the articles by Carrera et al [22][23][24][25][26][27][28].…”

Probabilistic micromechanical spatial variability quantification in laminated composites

“…1 (a) Typical distribution of a material property E 1 along a cross-sectional view (X-Z plane) of two laminae for a random realization in case of the layer-wise random variable approach (b) Typical distribution of a material property E 1 along a cross-sectional view (X-Z plane) of two laminae for a random realization in case of the random field approach Adhikari (2016c)), can obtain comprehensive probabilistic descriptions for the response quantities of composite structures. Besides consideration of random variability in material and structural attributes, recent studies related to uncertainty quantification of laminated composite structures include the effect of environmental (Dey et al (2015a)), operational (Dey et al (2015b)) and service life conditions (Naskar et al (2017), Karsh et al (2018a)) following the non-intrusive approach. A careful consideration of available scientific literature unveils that most of the studies conducted so far to quantify the effect of uncertainty in composite structures are based on a ply-level random variable based approach, where the spatial variation of stochastic parameters in the laminae is neglected.…”

On quantifying the effect of noise in surrogate based stochastic free vibration analysis of laminated composite shallow shells

“…However the major drawback of the traditional MCS method for uncertainty quantification is its computational intensiveness as thousands of finite element simulations are needed to be carried out in this approach. To overcome this lacuna, surrogate based uncertainty quantification approach has been proposed [16][17][18][19], which has gained huge attention in last couple of years. In surrogate based approach of uncertainty quantification, a virtual mathematical model is formed for the response quantity of interest that effectively replaces the actual expensive finite element model.…”