Dynamic response of laminated composites using design of experiments: An experimental and numerical study

Abstract

In addition to many advantages, composite materials constitute a new challenge in many industrial fields and applications. Vibration Based Methods (VBM) are relatively simple and at low cost to detect damage and fails in composite structures, but they are sensitive to variations in geometry and material properties. Recently, the main challenge in VBM is to establish a robust process to be applied on an industrial environment. In this work, a methodology to identify the effect of design parameters on the dynamic response of laminated composite plates is presented. For the case of composite materials, the production process plays an important role. Numerical dynamic analyses are run using the Finite Element code ABAQUS TM , which is complemented with user subroutines written in Fortran and Python. A Design of Experiments (DoE) strategy is developed to reduce the number of experiments and to evaluate the effect of the design parameters. In this work, two sets of composite plates were evaluated, [0] 8 and [0/-15/15/0/-15/15] s , with natural frequencies used as response quantities. In addition, Frequency Response Functions are analysed, as they are obtained by a full factorial design. Afterwards, the results are discussed with proper attention for the potential and for the limitations of the proposed methodology from the perspective of usage to detect damage and failure in composite structures.

Defect and damage detection in filament wound carbon composite cylinders: A new numerical-experimental methodology based on vibrational analyses

“…First, the design variables space is defined and the levels of variability on each of the design variables are quantified. They are related to the geometry of the laminated composite cylinders, which are evaluated (Step 1), and they are related to the material properties, which are obtained from previous studies [20][21][22][23][24] (Step 2). The design variables range is an important input for the DoE procedure.…”

“…The DoE process should be set up as a good representation of that parameter range. The quality of the DoE representation is improved using reference data to define upper and lower limits [22]. The statistical analysis of the geometry of the cylinders is based on the literature [22], where the 3D scanning method was used for dimensional metrology of the specimens.…”

“…Therefore, the upper and lower limit values of cylinder length are based on the standard deviation (SD) of the length of the specimens [0]8, described in [22], where σ = 0.5mm. Meanwhile, the diameter and thickness of the cylinder (t) are based on the SD of the thickness of the specimens [0/15/-15/0/15/-15]s detailed also in [22], where σ = 0.066mm.…”

“…The proposed methodology uses the variation of the design parameters, which affect the FRFs, determining the Damage Indices (DI) to quantify the influence of the manufacturing process on the final quality of the structure. The variations are based on the manufacturing process of real laminate composite cylinders, as well as previous works [20][21][22][23][24]. After a careful investigation of composite reinforcement topologies and their application in tubular members, three sets of composite cylinders are kindly made available by the Brazilian Navy Technological Centre, and considering the manufacturing process limits: [(90/60/-60)2/90]s, [(90/30/-30)2/90]s and [90/30/-60/60/-60/30/-30]s. Several experiments are conducted to obtain the full range of variation, evaluating factors based on the numerical results, and DoE strategy.…”

Experimental Analysis of the Influence of Factors Acting on the Layer Thickness Formed by Anodic Oxidation of Aluminium

“…In addition to industrial applications, DOE (Design of experiments) as a methodology for planning and evaluating experiments has been finding even wider application in other scientific disciplines such as research in renewable energy sources [23][24][25][26] and the nuclear research area [27]; cancer research [28]; and in the field of manufacturing and sensor optimization [29], chemometry [30], composite materials [31], and corrosion [32].…”