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VIBRATION CHARACTERISTICS OF NONUNIFORM BLADES MADE OF FUNCTIONALLY GRADED MATERIAL

Yıl 2021, Cilt: 22 Sayı: 1, 99 - 117, 26.03.2021
https://doi.org/10.18038/estubtda.766590

Öz

Kaynakça

  • Loy CT. Lam KY and Reddy JN. Vibration of functionally graded cylindrical shells, Int. J. Mech.Sci. 1999, 41: 309-324.
  • [2] Sankar BV. An elasticity solution for functionally graded beams, Compos. Sc. Technol. 2001, 61: 689–696.
  • [3] Aydogdu M, Taskin V. Free vibration analysis of functionally graded beams with simply supported edges, Mater. Des. 2007, 28:1651–1656.
  • [4] Chakraborty A, Gopalakrishnan S, Reddy JN. A new beam finite element for the analysis of functionally graded materials, J. Mech.Sci. 2003, 45.
  • [5] Goupee AJ and Senthil SV, Optimization of natural frequencies of bidirectional functionally graded beams, Struct Multidiscip O 2006; 32:473–484.
  • [6] Xiang HJ and Yang J, Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction, Compos Part B 2008; 39:292–303.
  • [7] Piovan MT and Sampoia R, A study on the dynamics of rotating beams with functionally graded properties, J Sound Vib 2009; 327:134–143.
  • [8] Simsek M and Kocaturk T, Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load, Compos Struct 2009; 90: 465–473.
  • [9] Malekzadeh P, Golbahar MR and Atashi MM, Out-of-plane free vibration of functionally graded circular curved beams in thermal environment, Compos Struct 2010; 92: 541–552.
  • [10] Huang Y and Li XF, A new approach for free vibration of axially functionally graded beams with non-uniform cross-section, J Sound Vib 2010; 329:2291–2303.
  • [11] Shahba A, Attarnejad R, Marvi MT and Hajilar S, Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Compos Part B 2011; 42(4):801-808.
  • [12] Zahedinejad P, Zhanga C, Zhanga H and Shuaia J, A comprehensive review on vibration analysis of functionally graded beams, Int J Struct Stab Dy 2020; 20 (4), 2030002.
  • [13] Zhang N, Khan T, Guo H, Shi S, Zhong W and Zhang W, Functionally graded materials: An overview of stability, buckling, and free vibration analysis, Adv Mater Sci Eng 2019; 1354150.
  • [14] Ozdemir O, Vibration analysis of rotating Timoshenko beams with different material distribution properties, Selçuk University, Int J Sci 2019; 7(2): 272-286.
  • [15] Kılıç B, Eksenel Fonksiyonel Derecelendirilmiş Rotor Pallerinin Titreşim Analizi, Msc.Thesis, Department of Aeronautical Engineering, Istanbul Technical University, 2019.
  • [16] Şahin S, İki Eksende Daralan Helikopter Pallerinin Sonlu Elemanlar Metodu ile Titreşim Analizi, Msc.Thesis, Department of Aeronautical Engineering, Istanbul Technical University, 2019.
  • [17] Hartmann F and Katz C, Structural Analysis with Finite Elements, Springer, 2004.
  • [18] Downs B, Transverse vibrations of cantilever beams having unequal breadth and depth tapers, J Appl Mech 1977; 44(4): 737-742.
  • [19] Banerjee JR and Williams FW, Exact Bernoulli–Euler dynamic stiffness matrix for a range of tapered beams, Int J Numer Meth Eng 1985; 21: 2289–2302.
  • [20] Talebi S and Ariaei A, Vibration analysis of a rotating Timoshenko beam with internal and external flexible connections, Arch Appl Mech 2015; 85(5): 555-572.
  • [21] Soltani M and Asgarian B, New hybrid approach for free vibration and stability analyses of axially functionally graded Euler-Bernoulli beams with variable cross-section resting on uniform Winkler-Pasternak foundation, Lat Am J Solids Stru 2019; 16(3), e173.
  • [22] Shahba A, Attarnejad R, Marvi MT and Hajilar S, Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Compos Part B-Eng 2011; 42(4): 801-808.

VIBRATION CHARACTERISTICS OF NONUNIFORM BLADES MADE OF FUNCTIONALLY GRADED MATERIAL

Yıl 2021, Cilt: 22 Sayı: 1, 99 - 117, 26.03.2021
https://doi.org/10.18038/estubtda.766590

Öz

The purpose of this study is to examine the vibration characteristics of a rotating blade whose material distribution varies in the spanwise direction. Formulations for functionally graded materials and beam structural models are carried out in detail and the results are displayed in several figures and tables which is a significant source of information for the authors working in this area. Different parameters such as angular speed, radius of the hub, material properties, power law index parameter, boundary conditions and slenderness ratio are considered in the formulation. Finite Element Method where the element matrices are obtained from potential and kinetic energy expressions is applied as the solution procedure. The calculated results are demonstrated in various tables and figures where it is observed that there is a good agreement with literature.

Kaynakça

  • Loy CT. Lam KY and Reddy JN. Vibration of functionally graded cylindrical shells, Int. J. Mech.Sci. 1999, 41: 309-324.
  • [2] Sankar BV. An elasticity solution for functionally graded beams, Compos. Sc. Technol. 2001, 61: 689–696.
  • [3] Aydogdu M, Taskin V. Free vibration analysis of functionally graded beams with simply supported edges, Mater. Des. 2007, 28:1651–1656.
  • [4] Chakraborty A, Gopalakrishnan S, Reddy JN. A new beam finite element for the analysis of functionally graded materials, J. Mech.Sci. 2003, 45.
  • [5] Goupee AJ and Senthil SV, Optimization of natural frequencies of bidirectional functionally graded beams, Struct Multidiscip O 2006; 32:473–484.
  • [6] Xiang HJ and Yang J, Free and forced vibration of a laminated FGM Timoshenko beam of variable thickness under heat conduction, Compos Part B 2008; 39:292–303.
  • [7] Piovan MT and Sampoia R, A study on the dynamics of rotating beams with functionally graded properties, J Sound Vib 2009; 327:134–143.
  • [8] Simsek M and Kocaturk T, Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load, Compos Struct 2009; 90: 465–473.
  • [9] Malekzadeh P, Golbahar MR and Atashi MM, Out-of-plane free vibration of functionally graded circular curved beams in thermal environment, Compos Struct 2010; 92: 541–552.
  • [10] Huang Y and Li XF, A new approach for free vibration of axially functionally graded beams with non-uniform cross-section, J Sound Vib 2010; 329:2291–2303.
  • [11] Shahba A, Attarnejad R, Marvi MT and Hajilar S, Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Compos Part B 2011; 42(4):801-808.
  • [12] Zahedinejad P, Zhanga C, Zhanga H and Shuaia J, A comprehensive review on vibration analysis of functionally graded beams, Int J Struct Stab Dy 2020; 20 (4), 2030002.
  • [13] Zhang N, Khan T, Guo H, Shi S, Zhong W and Zhang W, Functionally graded materials: An overview of stability, buckling, and free vibration analysis, Adv Mater Sci Eng 2019; 1354150.
  • [14] Ozdemir O, Vibration analysis of rotating Timoshenko beams with different material distribution properties, Selçuk University, Int J Sci 2019; 7(2): 272-286.
  • [15] Kılıç B, Eksenel Fonksiyonel Derecelendirilmiş Rotor Pallerinin Titreşim Analizi, Msc.Thesis, Department of Aeronautical Engineering, Istanbul Technical University, 2019.
  • [16] Şahin S, İki Eksende Daralan Helikopter Pallerinin Sonlu Elemanlar Metodu ile Titreşim Analizi, Msc.Thesis, Department of Aeronautical Engineering, Istanbul Technical University, 2019.
  • [17] Hartmann F and Katz C, Structural Analysis with Finite Elements, Springer, 2004.
  • [18] Downs B, Transverse vibrations of cantilever beams having unequal breadth and depth tapers, J Appl Mech 1977; 44(4): 737-742.
  • [19] Banerjee JR and Williams FW, Exact Bernoulli–Euler dynamic stiffness matrix for a range of tapered beams, Int J Numer Meth Eng 1985; 21: 2289–2302.
  • [20] Talebi S and Ariaei A, Vibration analysis of a rotating Timoshenko beam with internal and external flexible connections, Arch Appl Mech 2015; 85(5): 555-572.
  • [21] Soltani M and Asgarian B, New hybrid approach for free vibration and stability analyses of axially functionally graded Euler-Bernoulli beams with variable cross-section resting on uniform Winkler-Pasternak foundation, Lat Am J Solids Stru 2019; 16(3), e173.
  • [22] Shahba A, Attarnejad R, Marvi MT and Hajilar S, Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions, Compos Part B-Eng 2011; 42(4): 801-808.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Makaleler
Yazarlar

Burak Kılıç 0000-0003-1290-5387

Selim Şahin Bu kişi benim 0000-0002-9775-6706

Özge Özdemir 0000-0002-4755-2094

Yayımlanma Tarihi 26 Mart 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 22 Sayı: 1

Kaynak Göster

AMA Kılıç B, Şahin S, Özdemir Ö. VIBRATION CHARACTERISTICS OF NONUNIFORM BLADES MADE OF FUNCTIONALLY GRADED MATERIAL. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering. Mart 2021;22(1):99-117. doi:10.18038/estubtda.766590