THREE-DIMENSIONAL MODAL ANALYSIS OF BEAMS WITH TRIANGULAR AND HEXAGONAL CROSS SECTIONS USING DIFFERENT CERAMIC MATERIALS

Abstract

This study deals with investigation of effects of cross sections and ceramic materials on the fundamental vibration behavior of beams. Fundamental frequency analyses were performed using finite element software ANSYS based on Taguchi’s L8 orthogonal array with two control factors. Ceramic material types were used as the first control factor consisting of four levels such as Zirconia (ZrO2), Silicon nitride (Si3N4), Alumina (Al2O3), and Silicon carbide (SiC) while cross-sections of beams were considered as the second control factor including two levels such as triangle and hexagon. To optimize the ceramic materials and cross sections, analysis of signal-to-noise (S/N) ratio was used. Important control factors and their percent contributions on numerical fundamental free vibration response were performed using analysis of variance (ANOVA).

Keywords

• Modal analysis,Cross-section,Ceramic,Finite element approach

References

1. [1] Shen, H.-S. Functionally graded materials : nonlinear analysis of plates and shells. Boca Raton; New York; London, CRC Press, 2009.
2. [2] Balhaddad, A.S., Onipede, D. (1998). "Three-Dimensional Free Vibration of Pretwisted Beams". AIAA Journal, 36, 1524-8.
3. [3] Giunta, G., Metla, N., Koutsawa, Y., Belouettar, S. (2013). "Free vibration and stability analysis of three-dimensional sandwich beams via hierarchical models". Composites Part B: Engineering, 47, 326-38.
4. [4] Fang, J., Zhou, D., Dong, Y. (2017). "Three-dimensional vibration of rotating functionally graded beams". Journal of Vibration and Control, 24, 3292-306.
5. [5] Evran, S. (2018). "NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS". Anadolu University of Sciences & Technology-A: Applied Sciences & Engineering, 19.
6. [6] Evran, S., Yılmaz, Y. (2017). "The effects of layer arrangements on fundamental frequency of layered beams in axial direction". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21, 968-77.
7. [7] Alshorbagy, A.E., Eltaher, M.A., Mahmoud, F.F. (2011). "Free vibration characteristics of a functionally graded beam by finite element method". Applied Mathematical Modelling, 35, 412-25.
8. [8] Yilmaz, Y., Evran, S. (2016). "Free vibration analysis of axially layered functionally graded short beams using experimental and finite element methods". Science and Engineering of Composite Materials, 23, 453-60.

9. [9] Talha, M., Singh, B.N. (2010). "Static response and free vibration analysis of FGM plates using higher order shear deformation theory". Applied Mathematical Modelling, 34, 3991-4011.
10. [10] Ross, P.J. Taguchi Techniques for Quality Engineering, McGraw-Hill International Editions, 2nd Edition, New York, USA, 1996.
11. [11] ANSYS Help, Version 13.