Study on harmonic analysis of functionally graded plates using FEM

• Autorzy: Sharma A. K. , Sharma P. , Chauhan P. S. , Bhadoria S. S.

Identyfikatory

DOI

10.2478/ijame-2018-0053

• Języki publikacji: EN

Abstrakty

EN

This paper presents the harmonic and vibration analysis of functionally graded plates using the finite element method. Initially, the plates are assumed isotropic and the material properties of it are assumed to vary continuously through their thickness direction according to a power-law distribution of the volume fractions of the plate constituents. The four noded shell element is used to analyse the functionally graded plates. Four functionally graded plates-Al/Al2O3, Al/ZrO2, Ti–6Al–4V/Aluminium oxide, and SUS304/Si3N4 are considered in the study, and their results are obtained so that the right choice can be made in applications in high temperature environment and in reducing the vibration amplitudes in applications such as aircrafts, rockets, missiles, etc. Numerical results for the natural frequency and harmonic response amplitude are presented. Results are compared and validated with available results in the literature. Effects of boundary conditions, material and damping on natural frequency and harmonic response of the functionally graded plates are also investigated.

Słowa kluczowe

EN

finite element method; functionally graded plate; free vibration

PL

metoda elementów skończonych; drgania swobodne; amplituda drgań

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2018
• Tom: Vol. 23, no. 4
• Strony: 941--961
• Opis fizyczny: Bibliogr. 16 poz., rys., tab., wykr.

Twórcy

autor

Sharma A. K.

• Rajkiya Engineering College Mainpuri, INDIA - 205119

autor

Sharma P.

• Madhav Institute of Technology and Science Gwalior, INDIA

autor

Chauhan P. S.

• IPS- College of Technology and Management Gwalior, INDIA

autor

Bhadoria S. S.

• Dr. B.R. Ambedkar National Institute of Technology Jalandhar, INDIA

Bibliografia

• [1] Koizumi M. (1993): The concept of FGM. Ceramic Transactions. – Functionally Gradient Materials, vol.34, pp.3-10.
• [2] Hirai T. and Chen L. (1999): Recent and prospective development of functionally graded materials in Japan. – Materials Science Forum, pp.308-311.
• [3] Noda N. (1999): Thermal stresses in functionally graded materials. – Journal of Thermal Stresses, vol.22, pp.477-512.
• [4] Fuchiyama T. and Noda N. (1995): Analysis of thermal stress in a plate of functionally gradient material. – JSAE Review, vol.16, pp.263-268.
• [5] Obata Y. and Noda N. (1994): Steady thermal stresses in a hollow circular cylinder and hollow sphere of a functionally gradient material. – Journal of Thermal Stresses, vol.17, pp.471-487.
• [6] Reddy J.N. and Chin C.D. (1998): Thermomechanical analysis of functionally graded cylinders and plates. – Journal of Thermal Stresses, vol.21, pp.593-626.
• [7] Jimin He and Zhi-Fang Fu (2001): Modal Analysis. – Oxford: Butterworth-Heinemann.
• [8] Morales A.L., Rongong J.A. and Sims N.D. (2012): A finite element method for active vibration control of uncertain structures. – Mechanical Systems and Signal Processing, vol.32, pp.79-93.
• [9] Xiao-Ming Zhang and Han Ding (2008): Design optimization for dynamic response of vibration mechanical system with uncertain parameters using convex model. – Journal of Sound and Vibration 318, pp.406-415.
• [10] Zhao X., Lee Y.Y. and Liew K.M. (2009): Free vibration analysis of functionally graded plates using the elementfree kp-Ritz method. – Journal of Sound and Vibration, vol.319.
• [11] Khan I.A. and Awari G.K. (): Harmonic analysis of square plate with and without uncertain parameters. – International Journal on Recent and Innovation Trends in Computing and Communication, vol.3, No.2.
• [12] Sharma A.K. and Mittal N.D. (2010): Review on stress and vibration analysis of composite plates. – Journal of Applied Sciences, vol.10, No.23, pp.3156-3166.
• [13] Sharma A.K., Mittal N.D. and Sharma A. (2011): Free vibration analysis of moderately thick antisymmetric crossply laminated rectangular plates with elastic edge constraints. – International Journal of Mechanical Sciences, vol.53, pp.688-695.
• [14] Sharma A.K. and Mittal N.D. (2013): Free vibration analysis of laminated composite plates with elastically restrained edges using FEM. – Central European Journal of Engineering, vol.3, No.2, pp.306-315.
• [15] Sharma A.K. and Mittal N.D. (2014): Free vibration analysis of moderately thick Anti-symmetric angleply laminated rectangular plates with elastic edge constraints. – Mechanics of Advanced Materials and Structures, vol.21, pp.341-348.
• [16] Asiri Saeed, Hedia Hassan and Eissa Wael (2013): Vibration attenuation using functionally graded material. – World Academy of Science, Engineering and Technology, vol.7.

Uwagi

PL

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