Interval-Based Uncertain Dynamic Analysis of Nanotube-Reinforced Polymeric Composite Panel Using Fuzzified FEM-Numerical and Experimental Validation

This research numerically investigates the dynamic responses of carbon nanotube-reinforced polymeric composite (CNTRPC) with uncertain material properties. The numerical solutions are obtained using the finite element model in the framework of equivalent single-layer theory. Further, the uncertain composite properties are evaluated via fuzzy rule steps. First, the deterministic deflections under the transient loadings are evaluated numerically by setting fuzzy membership as zero and verified with earlier published numerical and in-house experimental data. This study introduces the fuzzy finite element method (FFEM) to derive dynamic responses for the first time computationally. Additionally, the composite properties are transformed into fuzzy variables by adding fuzzy logic to evaluate the random composite property variables for computational purposes. Using Newmark’s constant acceleration integration technique, a MATLAB-based computational framework is developed to calculate the dynamic responses of CNT-reinforced composites. The model’s accuracy is validated by comparing computed results with experimental data and published findings based on deterministic composite properties. Furthermore, new numerical examples are presented using the proposed FFEM model, implementing fuzzified elastic properties under transient loading and varying geometrical configurations. Finally, the implications of material uncertainty on the design of nanocomposite components with geometry-dependent parameters are discussed, emphasizing the importance of accounting for these uncertainties in advanced engineering applications.