DYNAMIC ANALYSIS OF UNIFORM AND NON-UNIFORM CROSS-SECTION CANTILEVER SANDWICH BEAMS

Yıl 2019, Cilt: 9 Sayı: 2, 286 - 297, 30.12.2019

Mesut Hüseyinoğlu , Murat Şen , Osman Yiğid , Orhan Çakar

https://doi.org/10.36222/ejt.632784

Cited By: 1

Öz

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.

Anahtar Kelimeler

Natural Frequency, Sandwich Beam, Mode Shape, Vibration

Kaynakça

• 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 Formulation. Advances in Technology Innovation 4, 152–164.
• Kant, T., Swaminathan, K. (2001). Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory. Composite Structures 53, 73–85.
• Arvin, H. (2014). Frequency response analysis of higher order composite sandwich beams with viscoelastic core. Iranian Journal of Science and Technology - Transactions of Mechanical Engineering 38, 143–155.
• Nasihatgozar, M., Khalili, S.M.R. (2017). Free vibration of a thick sandwich plate using higher order shear deformation theory and DQM for different boundary conditions. Journal of Applied and Computational Mechanics 3, 16–24.
• Rajesh, C., Suresh Kumar, J. (2016). Free Vibration Analysis of various Viscoelastic Sandwich Beams. Indian Journal of Science and Technology 9, 1–8.
• Abdel Salam, M., Bondok, N.E. (2010). Free Vibration Characteristics for Different Configurations of Sandwitch Beams. International Journal of Mechanical and Mechanics Engineering 10, 41–54.
• Purushothaman, V., Guruprasad, V. (2018). Vibration Analysis of Sandwich Beam with Different Core Patterns. International Journal of Engineering Research & Technology 6, 2–5.
• Abdel Salam, M., Abd Raboo, S.M., Bondok, N.E., Sayed, E.K. (2013). An Investigation Into Static and Dynamic Characteristics Of Sandwich Beam. Journal of Applied and Industrial Sciences 1, 54–65.
• Dai, G., Zhang, W. (2009). Cell size effects for vibration analysis and design of sandwich beams. Acta Mechanica Sinica 25, 353–365.
• Thamburaj, P., Sun, J.Q. (2001). Effect of material and geometry on the sound and vibration transmission across a sandwich beam. Journal of Vibration and Acoustics, Transactions of the ASME 123, 205–212.
• Çallioǧlu, H., Demir, E., Yilmaz, Y., Sayer, M. (2013). Vibration analysis of functionally graded sandwich beam with variable cross-section. Mathematical and Computational Applications 18, 351–360.
• Garooschi, M., Barati, F. (2016). Free Vibration Analysis of Sandwich Cylindrical Panel with Functionally Graded Core by Using ABAQUS Software. Journal of Engineering and Applied Sciences 11, 920–929.
• Kurpa, L., Shmatko, T., Awrejcewicz, J. (2019). Vibration analysis of laminated functionally graded shallow shells with clamped cutout of the complex form by the Ritz method and the R-functions theory. Latin American Journal of Solids and Structures 16, 1–16.
• Di Sciuva, M., Sorrenti, M. (2019). Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory. Journal of Sandwich Structures and Materials 0, 1–43.
• Ebrahimi, F., Farazmandnia, N. (2018). Vibration analysis of functionally graded carbon nanotube-reinforced composite sandwich beams in thermal environment. Advances in Aircraft and Spacecraft Science 5, 107–128.
• Burlayenko, V.N., Sadowski, T. (2019). Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements. Meccanica 7.
• Ramirez, D.A., Cuba, L.M., Mantari, J.L., Arciniega, R.A. (2019). Bending and free vibration analysis of functionally graded plates via optimized non-polynomial higher order theories. Journal of Applied and Computational Mechanics 5, 281–298.
• Zenkour, A.M., Abbas, I.A. (2014). 1371. Free vibration analysis of doubly convex/concave functionally graded sandwich beams. Journal of Vibroengineering 16, 2747–2755.
• Li, B., Dong, L., Zhu, L., Chen, X. (2015). On the natural frequency and vibration mode of composite beam with non-uniform cross-section. Journal of Vibroengineering 17, 2491–2502.
• Tahouneh, V. (2018). Three-dimensional elasticity solution for vibrational analysis of thick continuously graded sandwich plates with different boundary conditions using a two-parameter micromechanical model for agglomeration. Mechanics of Advanced Composite Structures 5, 49–66.
• Burlayenko, V.N., Sadowski, T., Dimitrova, S. (2019). Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates. Materials 12, 1–20.
• Wattanasakulpong, N., Ungbhakorn, V. (2012). Free Vibration Analysis of Functionally Graded Beams with General Elastically End Constraints by DTM. World Journal of Mechanics 02, 297–310.
• Yang, X.D., Zhang, W., Chen, L.Q. (2013). Transverse vibrations and stability of axially traveling sandwich beam with soft core. Journal of Vibration and Acoustics, Transactions of the ASME 135, 1–5.
• Lougou, K.G., Boudaoud, H., Daya, E.M., Azrar, L. (2016). Vibration modeling of large repetitive sandwich structures with viscoelastic core. Mechanics of Advanced Materials and Structures 23, 458–466.