Influence of material uncertainties on vibration and bending behaviour of skewed sandwich FGM plates

A multiscale uncertainty propagation method for dynamic analysis of laminated FRP composite plates with hybrid random and interval uncertainties

“…With the use of perturbation method, the statistics of the natural frequencies and mode shapes can be determined for considering random variables as given in Eqs. (15)(16)(17), but they are still uncertain due to the presence of interval variables. These interval uncertainties lead the statistics to uncertain, but bounded, statistical values.…”

“…To quantify uncertainties in these statistics, the upper and lower bounds of these statistics in Eqs. (15)(16)(17) need to be determined. The complex relations between uncertainties in inputs and the structural responses, such as natural frequencies and mode shapes, determination of the upper and lower bounds are to find optimal combinations of the input interval uncertainties to get the minimal and maximal values of the structural responses.…”

“…The presence of the both micro-and macro-scale uncertainties may significantly affect the dynamic behaviour of composite structures, driving the need for the development of stochastic dynamic analysis tools. Existing studies in the literature mainly focus on uncertainties in single-scale material and geometric parameters, such as elastic moduli of the lamina [12,2,13,14,15,16], whilst uncertainties in microscale parameters may affect macroscale stiffness and mass, leading to variations in structural dynamic features [17]. To consider influences of uncertainties at various scales on the natural frequency of FRP structures, Zhang and Chen [10] established a link between the lamina material properties and the constituent material properties, by generating a response surface of natural frequency.…”

Sensitivity of predicted stresses in thick‐walled steel/ceramics spherical FGM‐structures to parameter uncertainties

“…The reliability of strength-predictions for devices of functionally graded materials (FGMs) depends both on appropriate homogenization schemes and the accuracy of the basic material data. Whereas there exist many studies on proper homogenization techniques for various FGMs [1], the question for the required precision of the material data has been addressed to a significantly lesser extent; almost all of the comparatively few available studies on this issue focus on the statics and dynamics of beams and (thin-walled) plates and shells (see, e.g., [2][3][4][5]). Indeed, the values of the material parameters of FGM-constituents given in even quite recent publications may vary -depending on the specific material considered -noticeably.…”

Dynamic Response of Sandwich Thick Plates with FG Face Sheets and Porous Core in Thermal Environments using Nonlocal Strain Gradient Theory Approach

“…Adhikari et al [2] proposed a higher order shear deformation theory to study the effect of porosity type defect and analyze the consequences of porosity on the buckling characteristic of various types of FGM sandwich combinations. Tomar and Talha [3] used Reddy's higher order shear deformation theory to investigate the influence of material uncertainties on vibration and bending behavior of skewed sandwich FGM plates. Research on the mechanics of structures containing porosities has been interested in recent years by other researchers.…”