Dynamic and vibration analysis of beam, plates, and shells on composites materials – a literature review

Abstract Vibration and noise are critical factors in numerous engineering systems to mitigate their adverse effects. This document presents a comprehensive summary of vibration analysis research pertaining to beams, plates, and shells from 2000 to 2025. Consequently, these buildings have garnered significant attention. Moreover, the aspects of flexural behavior, damage progression, health monitoring tools, quasi-static bending, dynamic bending, and deflections are thoroughly examined and analyzed. The review examines several beam theory models, analytical approaches, and numerical techniques (RCAS, CAMRAD, GEBT) pertaining to dynamic and vibrational characterization of natural fiber composite materials (functionally graded materials, composite materials, nanomaterials), as well as experimental methodologies. The review's conclusion outlines future challenges, developmental requirements, and prospective research topics.