Analysis of Vibration and Buckling in Composite Cantilever Beams, Taking Consideration of both Pristine and Cracked Configurations

Abstract

Introduction:Through the excellent strength-to-weight ratio and design flexibility, composite cantilever beams have found ever-widening applications in diverse areas of engineering. Their vibration properties and buckling characteristics-including the effect of cracks-will be investigated for practical application. The paper evaluates important parameters that have a very strong influence on the performance of such beams under different conditions by adopting an integrated approach based on analytical modeling, FEA, and experimental testing. Some of the main conclusions from the results are that the resilience of the beam to buckling and its vibrational modes show a strong dependence on material composition, layer orientation, and cracks. It is expected that the results of this research will be useful in fine-tuning the design and application of composite cantilever beams under varied engineering scenarios, hence contributing much towards structural mechanics.

Objectives: The main aims of this research article are examine the effects of transverse fractures on natural frequencies in composite cantilever beams, to examine the structural stability and robustness of cracked composite beams under various loads and to explore non-destructive testing methods that use modal analysis to find cracks early, assuring structural integrity and durability.

Methods: A mixed-method approach shall, therefore, be employed in this regard to comprehensively investigate composite cantilever beam behavior both in pristine and cracked configurations. The methodology will integrate analytical modeling with the finite element method and experimental testing as validation means and to explain factors of influence on behavior more clearly.

Results: In this research, pristine composite cantilever beams were tested for analytical models, FEA simulations, and experiments to identify the buckling load and natural frequencies. In this paper, a comparison between the critical buckling loads obtained from the analytical model, FEA, and experiments has been done. The results from FEA showed very good agreement with the experimental data, with deviations of less than 5%.The finite element analysis of cracked composite cantilever beams, using the "overall additional flexibility matrix" approach, offers some valuable insight into how the presence of a crack affects their behavior due to vibration and buckling. Comparison with existing results related to the free vibration of cracked composite structures validated this methodology.

Conclusions: In the present study, a combined methodology of analytical modeling, FEA, and experimental testing will be used to determine the vibration and buckling response of composite cantilever beams, including the presence of cracks—two of the most critical issues in real-world applications. Based on the results obtained, some useful conclusions have been drawn that may help practicing engineers working with such versatile structural elements. The critical buckling load and natural frequencies of composite cantilever beams are very strongly dependent on the material properties, fiber orientation, and degree of cracking.