Effect of Boundary Conditions on Natural Frequencies of Orthotropic- Cored Composite Sandwich Beams

Yıl 2020, Cilt: 35 Sayı: 1, 221 - 226, 31.03.2020

Sefa Yıldırım

https://doi.org/10.21605/cukurovaummfd.764939

Cited By: 1

Öz

The influences of different boundary conditions on the free vibration behavior of sandwich beams having an orthotropic core have been investigated. The finite element codes used in the analysis are written via MATLAB and infused into ANSYS software package. The two-dimensional beam is considered to be made of an orthotropic core and two isotropic face sheets which may be homogeneous or heterogenous. The longitudinal dominated natural frequencies are considered and effects of core and face-sheet materials on the natural frequency are also studied. The results show that the order of the natural frequencies from highest to lowest, respectively, is clamped-clamped, clamped-simply supported, simply supported-simply supported and clamped-free for the orthotropic core composite beam. Also, using Al-TiB2 instead of pure Al layer as well as the increasing the inhomogeneity index decreases the natural frequency.

Anahtar Kelimeler

Vibration, Natural frequency, Boundary conditions, Composites beams, Orthotropy

Sınır Şartlarının Ortotrpik Çekirdekli Kompozit Sandviç Kirişlerinin Doğal Frekanslarına Olan Etkisi

Öz

Değişik sınır şartlarının orthotropik çekirdek tabakaya sahip kompozit malzemenden yapılmış olan kirişlerin serbest titreşim davranışları üzerine olan etkisi incelenmiştir. Çözümlemede, sonlu elemanlar paket programı kullanılmış olup kodlar MATLAB ile yazılmıştır. İki boyutlu kirişin bir adet ortotropik çekirdekten oluştuğu ve yüzey tabakasının homojen ya da heterojen olduğu varsayılmıştır. Kiriş boyuna titreşimler dikkate alınmış olup çekirdek ve yüzey tabaklarının malzeme özelliklerinin doğal frekans üzerine etkisi de ayrıca çalışılmıştır. Sonuçlara göre doğal frekanslar yüksekten düşüğe doğru sırasıyla ankastre-ankastre, ankastre-basit mesnet, basit mesnet-basit mesnet ve ankastre-serbest olarak belirlenmiştir. Ayrıca, saf Al tabaka yerine Al-TiB2 fonksiyonel derecelendirilmiş yüzey tabakası kullanmak ve inhomojenlik katsayısını artırmak doğal frekansı düşürmüştür.

Anahtar Kelimeler

Titreşim, Doğal frekans, Sınır şartları, Kompozit kirişler, Orthotropi

Kaynakça

• 1. Abdel Salam, M., Bondok, N.E., 2010. Free Vibration Characteristics for Different Configurations of Sandwich Beams. International Journal of Mechanical and Mechanics Engineering, 10(3), 41-54.
• 2. Sudhakar, V., Vijayaraju, K., Gopalakrishnan, S., 2010. Development of a New Finite Element for the Analysis of Sandwich Beams With Soft Core. Journal of Sandwich Structures and Materials, 12(6), 649-683.
• 3. Long, R., Barry, O., Oguamanam, D.C.D., 2012. Finite Element Free Vibration Analysis of Soft-Core Sandwich Beams. AIAA Journal, 50(1), 235-238.
• 4. Lou, J., Ma, L., Wu, L.Z., 2012. Free Vibration Analysis of Simply Supported Sandwich Beams With Lattice Truss Core. Materials Science and Engineering B: Solid-State Materials for Advanced Technology, 177(19), 1712-1716.
• 5. Sabiha, T., Youcef, K., Bachir, M., 2013. Free Vibration Analysis of the Strengthened Beams By Composite Coats, in Advanced Materials Research. 595-599.
• 6. Lou, J., Wang, B., Ma, L., Wu, L., 2013. Free Vibration Analysis of Lattice Sandwich Beams Under Several Typical Boundary Conditions. Acta Mechanica Solida Sinica, 26(5), 458-467.
• 7. Xu, M., Qiu, Z., 2013. Free Vibration Analysis and Optimization of Composite Lattice Truss Core Sandwich Beams with Interval Parameters. Composite Structures, 106, 85-95.
• 8. Yang, Y., Lam, C.C., Kou, K.P., Iu, V.P., 2014. Free Vibration Analysis of the Functionally Graded Sandwich Beams by a Meshfree Boundary-domain Integral Equation Method. Composite Structures, 117, 32-39.
• 9. Tekili, S., Khadri, Y., Merzoug, B., 2015. Finite Element Analysis of Free Vibration of Beams With Composite Coats. Mechanika, 21(4), 290-295.
• 10. Wang, Y., Wang, X., 2016. Free Vibration Analysis of Soft-core Sandwich Beams by the Novel Weak Form Quadrature Element Method. Journal of Sandwich Structures and Materials, 18(3), 294-320.
• 11. Bensahal, D., Amrane, M.N., 2016. Effects of Material and Geometrical Parameters on the Free Vibration of Sandwich Beams. International Journal of Engineering, Transactions B: Applications, 29(2), 222-228.
• 12. Cheng, S., Qiao, P., Chen, F., Fan, W., 2016. Free Vibration Analysis of Fiber-reinforced Polymer Honeycomb Sandwich Beams With a Refined Sandwich Beam Theory. Journal of Sandwich Structures and Materials, 18(2), 242-260.
• 13. Bouakkaz, K., Lazreg, H., Zouatnia, N., Bedia, E.A., 2016. An Analytical Method for Free Vibration Analysis of Functionally Graded Sandwich Beams. Wind and Structures, An International Journal, 23(1), 59-73.
• 14. Wang, X., Liang, X., 2017. Free Vibration of Soft-core Sandwich Panels With General Boundary Conditions by Harmonic Quadrature Element Method. Thin-Walled Structures, 113, 253-261.
• 15. Zhang, Z.J., Han, B., Zhang, Q.C., Jin, F., 2017. Free Vibration Analysis of Sandwich Beams with Honeycomb-corrugation Hybrid Cores. Composite Structures, 171, 335-344.
• 16. Wang, Y.Q., Zhao, H.L., 2019. Free Vibration Analysis of Metal Foam Core Sandwich Beams on Elastic Foundation Using Chebyshev Collocation Method. Archive of Applied Mechanics, 89(11), 2335-2349.
• 17. Asgari, G., Payganeh, G., Fard, K.M., 2019. Dynamic Instability and Free Vibration Behavior of Three-layered Soft-cored Sandwich Beams on Nonlinear Elastic Foundations. Structural Engineering and Mechanics, 72(4), 525-540.
• 18. Xu, G.D., Zeng, T., Cheng, S., Wang, X.H., Zhang, K., 2019. Free Vibration of Composite Sandwich Beam with Graded Corrugated Lattice Core. Composite Structures, 229.
• 19. Sayyad, A.S., Avhad, P.V., 2019. On Static Bending, Elastic Buckling and Free Vibration Analysis of Symmetric Functionally Graded Sandwich Beams. Journal of Solid Mechanics, 11(1), 166-180.
• 20. Erdurcan, E.F., Cunedioğlu, Y., 2019. Free Vibration Analysis of a Functionally Graded Material Coated Aluminum Beam. AIAA Journal, 58(2), 949-954.
• 21. Temel, B., Noori, A.R., 2019. Transient Analysis of Laminated Composite Parabolic Arches of Uniform Thickness. Mechanics Based Design of Structures and Machines, 47(5), 546-554.
• 22. Li, X.F., 2008. A Unified Approach for Analyzing Static and Dynamic Behaviors of Functionally Graded Timoshenko and Euler– Bernoulli Beams. Journal of Sound and Vibration, 318(4-5), 1210-1229.