Advances in Materials Research

Volume 15, Number 1, 2026, pages 1-21

DOI: 10.12989/amr.2026.15.1.001

Management of transient dynamic deflection in graphene-reinforced composite structures

Anber Abraheem Shlash Mohammad , Suleiman Ibrahim Mohammad , Asokan Vasudevan , Badrea Al Oraini , Mohammad Faleh Ahmmad Hunitie

Abstract

The current research examines the transient dynamic deflection response of graphene-reinforced composite structures when subjected to external forces. Analytical solutions are specifically provided for the vibration of a rectangular composite plate that is ultimately loaded and is based on the sinusoidal shear deformation theory (SSDT). The equations of motion are derived from Hamilton's principle, considering shear deformation and bending. A Fourier series expansion is applied to the system response analysis, which allows for the quick calculation of transient deflections by breaking the problem down into harmonic components. One of the major advancements of this study is the application of Laplace transform inversion via the modified Dubner and Abate formulation, which greatly improves both the accuracy and speed of solving transient dynamic problems in composite materials. The investigation of graphene's impact on damping, natural frequencies, and overall dynamic stability of the composite structure is done along with the critical insights into its performance at different excitation frequencies. The findings indicate that the vibrational damping of graphene-based composites is better than that of conventional materials and that they also exhibit different resonance behaviors, which can be advantageous for the East and West coast engineering applications. The analytical framework presented in this paper can predict the dynamic response of graphene-reinforced composite plates and thus help in the design of structural materials that are more robust and resilient under dynamic loading conditions.

Key Words

graphene-reinforced composites; laplace transform inversion; management; sinusoidal shear deformation theory; transient dynamic deflection

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