Vibration analysis of functionally graded tapered rotor shaft system

• Autorzy: Elhannani Abdelhak , Refassi Kaddour , Elmeiche Abbes , Bouamama Mohamed

Identyfikatory

DOI

10.2478/mme-2019-0032

• Języki publikacji: EN

Abstrakty

EN

This investigation deals with the vibration analysis of a rotating tapered shaft in Functionally Graded Material (FGM). The dynamic system is modeled using the Timoshenko beam theory (FSDBT) with consideration of gyroscopic effect and rotary inertia. The equations of motion are expressed by the hierarchical finite element method based on bi-articulated boundary conditions. The material properties are continuously varied in the thickness direction of a hollow shaft according to the exponential law function (E-FGM). The presented model is validated by comparing the numerical results found with the available literature. Various analyses are carried out to determine the influence of taper angle and material distribution of the two extreme materials on the dynamic behavior of FGM conical rotors system.

Słowa kluczowe

EN

vibration analysis; tapered shaft; gyroscopic effect; hierarchical finite element; rotors conicity

PL

analiza drgań; wał stożkowy; efekt żyroskopowy; hierarchiczne elementy skończone; wirnik stożkowy

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2019
• Tom: Vol. 23, nr 1
• Strony: 241--245
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Elhannani Abdelhak

• Laboratory Mechanics of Structure and Solids, Mechanical Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria

autor

Refassi Kaddour

• Laboratory Mechanics of Structure and Solids, Mechanical Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria

autor

Elmeiche Abbes

• Laboratory Mechanics of Structure and Solids, Mechanical Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria

autor

Bouamama Mohamed

• Laboratory Mechanics of Structure and Solids, Mechanical Engineering Department, Faculty of Technology, University of Sidi Bel Abbes, Algeria

Bibliografia

• [1] Elmeiche, A., Megueni, A. and Lousdad, A.: Free vibration analysis of functionally graded Nanobeams based on different order beam theories using Ritz method, Period. Polytech. Mech. Eng., 60, 209-219, 2016.
• [2] Suresh, S., Mortensen, A.: Fundamentals of functionally graded materials, IOM Communications, London, 1998.
• [3] Suresh, S., Mortensen, A.: Fundamentals graded metals and metal ceramic composites 2: thermo mechanical behavior, Int. Mater. Rev., 42(3), 85-116, 1997.
• [4] Kim, W.: Free vibration of a rotating tapered composite Timoshenko shaft, J. Sound. Vib„ 226(1), 125-147, 1999.
• [5] Cheng, Z. Q., Batra, B. C.: Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plate, J. Sound. Vib., 229(4), 879-895, 2000.
• [6] Reddy, J. N., Cheng, Z. Q.: Frequency correspondence between membranes and functionally graded spherical shallow shells of polygonal planform, Int. J. Mech. Sci., 44(5), 967-985, 2002.
• [7] Boukhalfa, A., Hadjoui, A. and Hamza Cherif, S. M.: Free Vibration Analysis of a Rotating Composite Shaft Using p-Version of the Finite Element Method, Int. J. Rotating Mach., 10, 1155-752062, 2008.
• [8] Malekzadeh, P.: Three-dimensional free vibration analysis of thick functionally graded plates on elastic foundations, Compos Struct„ 89, 367-373, 2009.
• [9] Koteswara, D., Tarapada, R. and Debabrata, G.: Prasad K. I. Finite Element Analysis Of Functionally Graded Rotor Shaft Using Timoshenko Beam Theory, International Journal of Mechanical and Production Engineering, 1(2), 2320-2092, 2013.
• [10] Shahba, A. et al.: Free vibration and stability of axially functionally graded tapered Euler-Bernoulli beams, Shock Vib„ 18, 683- 696, 2011.
• [11] Koteswara, D., Tarapada, R.: Vibration Analysis of Functionally Graded Rotating Shaft System, Procedia Engineering,144, 775- 780, 2016.
• [12] Delale, F., Erdogan, F.: The crack problem for a non-homogeneous plane, J. Appl. Mech. (ASME), 50, 609- 614, 1983.
• [13] Houmat, A.: Sector Fourier p- element Applied to Free Vibration Analysis of Sector Plates, J. Sound. Vib„ 243, 269-282, 2001.
• [14] Loy, C. T., Lam, K. Y. and Reddy, J. N.: Vibration of functionally graded cylindrical shells, Int. J. Mech. Sci„ 41, 309-324, 1999.
• [15] Boukhalfa, A.: Dynamic Analysis of a Spinning Functionally Graded Material Shaft by the p-version of the Finite Element Method, J. Solids Struct„ 11, 2018-2038, 2014.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).