Yıl 2018, Cilt 19, Sayı 1, Sayfalar 83 - 94 2018-03-31

NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS

Savaş Evran [1]

203 384

In this numerical study, natural frequency analysis of layered functionally graded beams in the thickness direction under clamped-free boundary condition was investigated using finite element program ANSYS. The layer arrangements were performed according to Taguchi L9 (3*3) orthogonal array. Mechanical properties of the layers made of different volume fractions of Ti-6Al-4V and ZrO2 materials was assumed as control factors. In order to determine the optimum layers and their levels, signal-to-noise (S/N) analysis is used. Significant layers and their percent contributions on the natural frequency are carried out using Analysis of Variance (ANOVA). In addition, the effects of the boundary conditions (B.C.) such as clamped-free (C-F) and clamped-clamped (C-C) and positions of the optimum layers were evaluated. According to results evaluated, maximum natural frequency for first mode were found to be top and bottom layers with metal-rich and middle layer with ceramic-rich. The most effective layers on the responses was obtained as Layer1 with 48.45%, Layer2 with 16.16% and Layer3 with 34.98%. Layer arrangements play important role on the natural first mode frequency.

Functionally Graded Materials, Natural Frequency, Beam, Finite Element Method
  • [1] Koizumi M. FGM activities in Japan, Composites Part B: Engineering, vol. 28, 1997, pp. 1-4.
  • [2] Naebe M, Shirvanimoghaddam K. Functionally graded materials: A review of fabrication and properties, Applied Materials Today, vol. 5, 2016, pp. 223-45.
  • [3] Chin ESC. Army focused research team on functionally graded armor composites, Materials Science and Engineering: A, vol. 259, 1999, pp. 155-61.
  • [4] Petrovic J, McClellan K. Ceramic/polymer functionally graded material (FGM) lightweight armor system. Los Alamos National Lab., NM (United States); 1998.
  • [5] Müller E, Drašar Č, Schilz J, Kaysser WA. Functionally graded materials for sensor and energy applications, Materials Science and Engineering: A, vol. 362, 2003, pp. 17-39.
  • [6] Pompe W, Worch H, Epple M, Friess W, Gelinsky M, Greil P, Hempel U, Scharnweber D, Schulte K. Functionally graded materials for biomedical applications, Materials Science and Engineering: A, vol. 362, 2003, pp. 40-60.
  • [7] Hedia H, Mahmoud NA. Design optimization of functionally graded dental implant, Bio-Medical Materials and Engineering, vol. 14, 2004, pp. 133-43.
  • [8] WOŚKO M, Paszkiewicz B, PIASECKI T, Szyszka A, PASZKIEWICZ R, TŁACZAŁA M. Applications of functionally graded materials in optoelectronic devices, Optica Applicata, vol. 35, 2005, pp.
  • [9] Nomura T, Moriguchi H, Tsuda K, Isobe K, Ikegaya A, Moriyama K. Material design method for the functionally graded cemented carbide tool, International Journal of Refractory Metals and Hard Materials, vol. 17, 1999, pp. 397-404.
  • [10] G. Cooley W. Application of functionally graded materials in aircraft structures2017.
  • [11] Lee WY, Stinton DP, Berndt CC, Erdogan F, Lee YD, Mutasim Z. Concept of functionally graded materials for advanced thermal barrier coating applications, Journal of the American Ceramic Society, vol. 79, 1996, pp. 3003-12.
  • [12] Oh S-Y, Librescu L, Song O. Vibration of turbomachinery rotating blades made-up of functionally graded materials and operating in a high temperature field, Acta Mechanica, vol. 166, 2003, pp. 69-87.
  • [13] Lee JW, Lee JY. Free vibration analysis of functionally graded Bernoulli-Euler beams using an exact transfer matrix expression, International Journal of Mechanical Sciences, vol. 122, 2017, pp. 1-17.
  • [14] Sina SA, Navazi HM, Haddadpour H. An analytical method for free vibration analysis of functionally graded beams, Materials & Design, vol. 30, 2009, pp. 741-7.
  • [15] Giunta G, Crisafulli D, Belouettar S, Carrera E. Hierarchical theories for the free vibration analysis of functionally graded beams, Composite Structures, vol. 94, 2011, pp. 68-74.
  • [16] Şimşek M. Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories, Nuclear Engineering and Design, vol. 240, 2010, pp. 697-705.
  • [17] Aydogdu M, Taskin V. Free vibration analysis of functionally graded beams with simply supported edges, Materials & Design, vol. 28, 2007, pp. 1651-6.
  • [18] Kahya V, Turan M. Finite element model for vibration and buckling of functionally graded beams based on the first-order shear deformation theory, Composites Part B: Engineering, vol. 109, 2017, pp. 108-15.
  • [19] Thai H-T, Vo TP. Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories, International Journal of Mechanical Sciences, vol. 62, 2012, pp. 57-66.
  • [20] Alshorbagy AE, Eltaher MA, Mahmoud FF. Free vibration characteristics of a functionally graded beam by finite element method, Applied Mathematical Modelling, vol. 35, 2011, pp. 412-25.
  • [21] Nguyen T-K, Vo TP, Thai H-T. Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory, Composites Part B: Engineering, vol. 55, 2013, pp. 147-57.
  • [22] Kapuria S, Bhattacharyya M, Kumar AN. Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation, Composite Structures, vol. 82, 2008, pp. 390-402.
  • [23] Li X, Li L, Hu Y, Ding Z, Deng W. Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory, Composite Structures, vol. 165, 2017, pp. 250-65.
  • [24] Huang Y, Yang L-E, Luo Q-Z. Free vibration of axially functionally graded Timoshenko beams with non-uniform cross-section, Composites Part B: Engineering, vol. 45, 2013, pp. 1493-8.
  • [25] Shahba A, Rajasekaran S. Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials, Applied Mathematical Modelling, vol. 36, 2012, pp. 3094-111.
  • [26] Chen M, Jin G, Liu Z, Xu W. FREE VIBRATION ANALYSIS OF FGM BEAM WITH GEN-ERAL BOUNDARY CONDITIONS BY ISOGEOMETRIC AP-PROACH, vol., pp.
  • [27] Wattanasakulpong N, Ungbhakorn V. Free vibration analysis of functionally graded beams with general elastically end constraints by DTM, World Journal of Mechanics, vol. 2, 2012, pp. 297.
  • [28] Demir APC, Oz F. Free Vibration Analysis of a Functionally Graded Beam with Finite Elements Method. Vibration Problems ICOVP 2011: the 10th International Conference on Vibration Problems: ICOVP 2011 Supplement; 2011. p. 37.
  • [29] Demir C, Oz FE. Free vibration analysis of a functionally graded viscoelastic supported beam, Journal of Vibration and Control, vol. 20, 2014, pp. 2464-86.
  • [30] Anandrao KS, Gupta R, Ramachandran P, Rao GV. Free vibration analysis of functionally graded beams, Defence Science Journal, vol. 62, 2012, pp. 139.
  • [31] Kukla S, Rychlewska J. Free vibration analysis of functionally graded beams, Journal of Applied Mathematics and Computational Mechanics, vol. 12, 2013, pp. 39-44.
  • [32] Koochaki GR. Free vibration analysis of functionally graded beams, World Academy of Science, Engineering and Technology, vol. 74, 2011, pp.
  • [33] Wattanasakulpong N, Prusty BG, Kelly DW, Hoffman M. Free vibration analysis of layered functionally graded beams with experimental validation, Materials & Design (1980-2015), vol. 36, 2012, pp. 182-90.
  • [34] Pradhan K, Chakraverty S. Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh–Ritz method, Composites Part B: Engineering, vol. 51, 2013, pp. 175-84.
  • [35] Huang Y, Li X-F. A new approach for free vibration of axially functionally graded beams with non-uniform cross-section, Journal of sound and vibration, vol. 329, 2010, pp. 2291-303.
  • [36] Liu Y, Shu D. Free vibration analysis of exponential functionally graded beams with a single delamination, Composites Part B: Engineering, vol. 59, 2014, pp. 166-72.
  • [37] Yilmaz Y, Evran S. Free vibration analysis of axially layered functionally graded short beams using experimental and finite element methods. Science and Engineering of Composite Materials2016. p. 453.
  • [38] Talha M, Singh BN. Static response and free vibration analysis of FGM plates using higher order shear deformation theory, Applied Mathematical Modelling, vol. 34, 2010, pp. 3991-4011.
  • [39] Shen H-S. Functionally graded materials: nonlinear analysis of plates and shells: CRC press; 2009.
  • [40] Roy RK. A primer on the Taguchi method: Van Nostrand Reinhold; 1990.
  • [41] Ross PJ. Taguchi Techniques for Quality Engineering: Loss Function, Orthogonal Experiments, Parameter and Tolerance Design: McGraw-Hill; 1996.
Konular Mühendislik ve Temel Bilimler
Dergi Bölümü Araştırma Makalesi
Yazarlar

Yazar: Savaş Evran
Kurum: Çanakkale Teknik Bilimler Meslek Yüksekokulu
Ülke: Turkey


Bibtex @araştırma makalesi { aubtda345541, journal = {Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik}, issn = {1302-3160}, eissn = {2146-0205}, address = {Anadolu Üniversitesi}, year = {2018}, volume = {19}, pages = {83 - 94}, doi = {10.18038/aubtda.345541}, title = {NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS}, key = {cite}, author = {Evran, Savaş} }
APA Evran, S . (2018). NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS. Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik, 19 (1), 83-94. DOI: 10.18038/aubtda.345541
MLA Evran, S . "NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 (2018): 83-94 <http://dergipark.gov.tr/aubtda/issue/36292/345541>
Chicago Evran, S . "NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 (2018): 83-94
RIS TY - JOUR T1 - NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS AU - Savaş Evran Y1 - 2018 PY - 2018 N1 - doi: 10.18038/aubtda.345541 DO - 10.18038/aubtda.345541 T2 - Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik JF - Journal JO - JOR SP - 83 EP - 94 VL - 19 IS - 1 SN - 1302-3160-2146-0205 M3 - doi: 10.18038/aubtda.345541 UR - http://dx.doi.org/10.18038/aubtda.345541 Y2 - 2017 ER -
EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS %A Savaş Evran %T NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS %D 2018 %J Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik %P 1302-3160-2146-0205 %V 19 %N 1 %R doi: 10.18038/aubtda.345541 %U 10.18038/aubtda.345541
ISNAD Evran, Savaş . "NATURAL FREQUENCY ANALYSIS OF LAYERED FUNCTIONALLY GRADED BEAMS". Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi A - Uygulamalı Bilimler ve Mühendislik 19 / 1 (Mart 2018): 83-94. http://dx.doi.org/10.18038/aubtda.345541