The solutions obtained from analytical and numerical solutions are in good agreement.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, an analytical solution for dynamic analysis of uniform and non-uniform cross-section cantilever sandwich beam is presented.
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Key Findings & Data:The sandwich beam was assumed to be an Euler-Bernoulli beam and formed with a thin core and two thin skin layers.
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Conclusion & Impact:The solutions obtained from analytical and numerical solutions are in good agreement.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Natural Frequency · Sandwich Beam · Mode Shape
Abstract
In this study, an analytical solution for dynamic analysis of uniform and non-uniform cross-section cantilever sandwich beam is presented. The sandwich beam was assumed to be an Euler-Bernoulli beam and formed with a thin core and two thin skin layers. So the shear deformations and rotational effects were neglected. The equivalent flexural rigidity was obtained for the entire sandwich structure. Some implementations for the solution method are given and the results are compared with numerical solutions. The usability of the Euler-Bernoulli Beam Theory for thin layered uniform or non-uniform sandwich beams is investigated. The solutions obtained from analytical and numerical solutions are in good agreement.
HÜSEYİNOĞLU, M., ŞEN, M., YİĞİD, O., ÇAKAR, O. (2019). DYNAMIC ANALYSIS OF UNIFORM AND NON-UNIFORM CROSS-SECTION CANTILEVER SANDWICH BEAMS. European Journal of Technique, Cilt: 9 - Sayı: 2, 286–297. https://ajindex.com/articles/193828
Khalili, S.M.R., Nemati, N., Malekzadeh, K., Damanpack, A.R. (2010). Free vibration analysis of sandwich beams using improved dynamic stiffness method. Composite Structures 92, 387–394.
Hamed, E., Rabinovitch, O. (2009). Modeling and dynamics of sandwich beams with a viscoelastic soft core. AIAA Journal 47, 2194–2211.
Palmeri, A., Ntotsios, E. (2016). Transverse vibrations of viscoelastic sandwich beams via galerkin-based state-space approach. Journal of Engineering Mechanics 142, 1–12.
Irazu, L., Elejabarrieta, M.J., Garces, Y. (2015). Dynamic properties of thin sandwich structures: Influence of viscoelastic core. 22nd International Congress on Sound and Vibration, ICSV 2015.
Sakiyama, T., Matsuda, H., Morita, C. (1996). Free vibration analysis of continuous sandwich beams with elastic or viscoelastic cores by applying the discrete Green function. Journal of Sound and Vibration 198, 439–454.
Wang, G., Veeramani, S., Wereley, N.M. (2000). Analysis of sandwich plates with isotropic face plates and a viscoelastic core. Journal of Vibration and Acoustics, Transactions of the ASME 122, 305–312.
Zghal, S., Bouazizi, M.L., Bouhaddi, N. (2014). Reduced-order model for non-linear dynamic analysis of viscoelastic sandwich structures in time domain. MATEC Web of Conferences 16, 1–4.
Barbieri, N., Barbieri, R., Winikes, L.C. (2010). Parameters estimation of sandwich beam model with rigid polyurethane foam core. Mechanical Systems and Signal Processing 24, 406–415.
Benjeddou, A., Guerich, M. (2019). Free vibration of actual aircraft and spacecraft hexagonal honeycomb sandwich panels: A practical detailed FE approach. Advances in Aircraft and Spacecraft Science 6, 169–187.
Lashin, M.M.A., Okasha El-Nady, A. (2015). Free Vibration Analysis of Sandwich Beam Structure Using Finite Element Approach. IOSR Journal of Mechanical and Civil Engineering Ver. I 12, 2278–1684.
Huang, Z., Qin, Z., Chu, F. (2016). Vibration and damping characteristics of sandwich plates with viscoelastic core. Journal of Vibration and Control 22, 1876–1888. Cortés, F., Sarriá, I. (2015). Dynamic analysis of three-layer sandwich beams with thick viscoelastic damping core for finite element applications. Shock and Vibration 2015, 1–9.
Zhen, W., Wanji, C. (2018). Free and forced vibration of laminated composite beams. AIAA Journal 56, 2877–2886.
Pham, V.N., Nguyen, D.K., Gan, B.S. (2019). Vibration Analysis of Two-Directional Functionally Graded Sandwich Beams Using a Shear Deformable Finite Element Fo