Analyzing the effects of jump phenomenon in nonlinear vibration of thin circular functionally graded plates

In this paper, the nonlinear vibration of a thin circular functionally graded material plates is studied. The plate thickness is constant, and the material properties of the plate are assumed to vary continuously through the thickness. The governing equations and boundary conditions are extracted. T...

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Bibliographic Details
Published inArchive of applied mechanics (1991) Vol. 82; no. 7; pp. 907 - 918
Main Authors Allahverdizadeh, A., Oftadeh, R., Mahjoob, M. J., Soleimani, A., Tavassoli, H.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.07.2012
Subjects
Classical Mechanics
Engineering
Original
Theoretical and Applied Mechanics
Nonlinear vibration
Jump phenomenon
Functionally graded plates
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Summary:In this paper, the nonlinear vibration of a thin circular functionally graded material plates is studied. The plate thickness is constant, and the material properties of the plate are assumed to vary continuously through the thickness. The governing equations and boundary conditions are extracted. The assumed-time-mode method is used to analyze these equations. The time variable is eliminated by assuming a harmonic response for nonlinear vibration and using Kantorovich time averaging technique. Utilizing shooting and Runge–Kutta methods, the set of first-order nonlinear differential equations are solved. The effect of volume fraction index in free and forced vibration response and jump phenomenon is studied. The results show that jump phenomenon occur according to volume fraction index and uniform temperature in the special frequencies of forced vibration response.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-011-0600-6