Numerical and Analytical Investigations of Vibration and Buckling in Composite Cantilever Beams

Introduction: The current research focuses on the vibration and buckling behaviors of composite cantilever beams using both numerical and analytical approaches: The need for precise structural analysis of advanced engineering applications. ANSYS is utilized to perform finite element simulations, and semi-analytical models based on classical beam theories are developed to verify the numerical results. Results indicate that increasing the fiber volume fraction (from 40% to 60%) causes an increase of 22.5% in the fundamental frequency and an enhancement of 35.8% in the critical buckling load. Moreover, with an increase of 10 to 20 in aspect ratio, natural frequency increases by 17.3%, while it leads to a decrease of 12.6% in buckling resistance. Statistical regressions analysis show strong nonlinear correlations (R² = 0.92) between shifts in frequency and compressive loads applied. The experimental data presented in this work highlights the significance of endeavoring to directly and geometrically optimize composites when enhancing the dynamic stability of composite beams, contributing insights relevant to aerospace and mechanical systems domains. 8 that DOI: The results obtained through this study serve as a solid foundation for experimental studies and future developments of composite structure engineering Objectives: This research aims to characterize fractures' effects on composite beams' natural frequencies, assess their stability under different loading circumstances, and suggest crack detection inspection methods. Fibre fracture depth, location, and direction affect beam modal characteristics. Methods: This research compares the quantitative and qualitative data of vibration and buckling behaviours of composite cantilever beams. This, coupled with finite element modeling analysis, the application of the classical beam theory and physical testing, offers a complete perspective of the structural response of the epoxy beams with differing fiber fractions and ratios. In addition, several correlation analyses are carried out between the changes of frequency and compressive load to enhance the validation of the proposed models as well. Results: This research corroborates all three hypotheses and brings deep insight into the vibration and buckling characteristics of composite cantilever beams. Both the numerical and analytical methods assisted in the fundamental frequency and buckling load associated with the first hypothesis (H1), H1. Conclusions: Further research needs to include verifying the numerical and analytical models with real composite beam specimens. Also, sophisticated nonlinear material finite element analysis combined with more advanced loading patterns will yield better results. Broader ranges of fiber volume fractions and fiber aspect ratios could be added to the statistical model, thus making it more useful for diverse engineering problems.