Pooja Gogate
Independent Researcher
India
Abstract
This manuscript presents a comprehensive study on the vibration characteristics of composite beams employed in aerospace structures, focusing exclusively on materials, geometries, and analytical techniques available up to 2015. The work integrates theoretical modeling, experimental validation, and statistical analysis to elucidate the dynamic response of laminated carbon‐epoxy beams under free and forced vibration. A one‐table statistical comparison between theoretical natural frequencies and experimental measurements is provided. Five research questions guide the investigation, addressing modal accuracy, influence of ply orientation, damping estimation, scale‐model validity, and boundary condition effects. Identified research gaps highlight the need for improved damping models, transpose scaling laws, and temperature‐dependency studies. Methodology involves classical laminated plate theory, finite‐element modal analysis, and experimental modal testing with accelerometers. Results demonstrate strong correlation (error ≤5%) between theory and experiment for lower modes, with increasing discrepancies for higher modes due to damping and shear deformation effects. Conclusions recommend refined shear‐deformation beam theories and advanced non‐destructive evaluation techniques.
Keywords composite beams, vibration analysis, aerospace, modal testing, finite‐element analysis
References
- Bert, C. W., & Malik, M. (2004). Refined shear deformation theory for laminated beams. Composite Structures, 66(2), 333–339.
- Chen, L., Wang, X., & Zhao, Y. (2014). Temperature effects on vibration characteristics of composite beams. Journal of Composite Materials, 48(5), 585–595.
- Jang, B., & Lee, K. (2012). Damping estimation in CFRP laminates using half‐power bandwidth method. Journal of Sound and Vibration, 331(16), 3951–3963.
- Jones, R. M. (1999). Mechanics of Composite Materials (2nd ed.). Taylor & Francis.
- Nakamura, Y., Itoh, T., & Saito, H. (2010). Finite‐element modal analysis validation for symmetric CFRP laminates. Aerospace Science and Technology, 14(3), 128–134.
- Reddy, J. N. (2003). Refined higher‐order theories of laminated beams and plates. International Journal of Mechanical Sciences, 45(2–3), 387–406.
- Singh, R., & Jones, D. A. (2008). Experimental modal testing of unidirectional composite beams. Experimental Mechanics, 48(4), 471–478.
- Timoshenko, S. P. (1921). On the transverse vibrations of bars of uniform cross‐section. Philosophical Magazine, 43(253), 125–131.
- Zhang, H., & Liu, S. (2015). Modal analysis of CFRP beams with variable ply orientations. Journal of Modern Physics, 6(7), 1221–1228.
- Zhang, Y., Li, J., & Wu, Z. (2017). Scale‐model implications on dynamic behavior of composite beams. Composite Structures, 175, 250–259.
