Numerical Analysis and Applications of Coupled Vibration in Asymmetric Laminated Composite Beams

This paper presents a comprehensive numerical analysis and application of extension-bending-shear-torsion coupled vibration in asymmetric laminated composite beams, in which the exact closed-form solutions were previously obtained to investigate the steady-state dynamic response of such beams under various harmonic loading and boundary conditions. Key objectives include predicting natural frequencies and corresponding mode shapes, as well as establishing quasi-static responses for different harmonic excitation frequencies. Numerical examples are used to validate the accuracy and efficiency of the proposed solutions by comparing static and dynamic results with those from existing literature and finite element analysis. The study reveals excellent agreement between the closed-form solutions and previously published results, emphasizing the utility of the developed approach for both static and dynamic coupled vibration analysis in asymmetric laminated beams. The results offer valuable insights into the dynamic behavior of asymmetric composite beams, with potential applications in engineering structures subjected to complex loading conditions. Keywords: Coupled vibration, steady state response, asymmetric laminated beam, harmonic loading.