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

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.

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

“…Such development can help to bring about the much-needed impetus in the research of two-dimensional materials, which is often hindered due to the need for carrying out computationally expensive and time consuming simulations/ laboratory experiments and availability of interatomic potentials. Besides deterministic analysis of shear moduli, as presented in this paper, the efficient closed-form formulae could be an attractive option for carrying out uncertainty analysis [99][100][101][102][103][104] following a Monte Carlo simulation based approach.…”

Effect of cutout on stochastic natural frequency of composite curved panels

“…Recently Venkatachari et al [24] investigated on influence of environment for free vibration of composite laminates with cutouts and Yu et al [25] studied on buckling and free vibration analyses of laminated composites plates with complicated cutouts employing first order shear deformation theory and level set method. Plenty amount of research is carried out on free vibration analysis of composite plates, shells and sandwich structures [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. A concise review of literature on application of efficient reduced order models in the field of structural analysis and design is presented next.…”

Frequency domain homogenization for the viscoelastic properties of spatially correlated quasi-periodic lattices

“…Such structures have received considerable attention in last few decades as an advanced material because of the capability to meet high performance application-specific demands in various critically desirable parameters such as specific strength and stiffness, crushing resistance, fatigue strength, acoustic properties, shock absorption properties, electro-mechanical properties, corrosion and fire resistance (Gibson and Ashby, 1999). The application of honeycomb core for lightweight sandwich structures is an active area of research (Dey et al, 2018;Yongqiang and Zhiqiang, 2008;Zenkert, 1995). An in-depth understanding of the structural behaviour of such hexagonal lattices is useful in emerging research fields of nano-materials like Graphene and Boron Nitride, which are often idealized as hexagonal periodic structures (Liu et al, 2012;Pantano et al, 2004).…”