tailieunhanh - Calculation of the goffered multilayered composite cylindrical shells by using the finite element method

In the present paper, the goffered multilayered composite cylindrical shells is directly calculated by finite element method. Numerical results on displacements, internal forces and moments are obtained for various kinds of external loads and different boundary conditions. | Vietnam Journal of Mechanics, NCST of Vietnam Vol. 21, 1999, No 2 {116 - 128) CALCULATION OF THE GOFFERED MULTILAYERED COMPOSITE CYLINDRICAL SHELLS BY USING THE FINITE ELEMENT METHOD PHAM THI TOAN University of Communications and Transport SUMMARY. In the present paper, the goffered multilayered composite cylindrical shells is directly calculated by finite element method. Numerical results on displacements, internal forces and moments are obtained for various kinds of external loads and different boundary conditions. 1. Introduction The classical methods for analyzing shell structure yield governing differential equations whose complexity depends greatly on the shell geometry. Analytical solutions of these equations are available only for shells with simple geometric forms and for restricted boundary conditions. The finite element method have been suggested for more general shell shapes. In [3], by using the effective modulus theory and Seydel's assumptions, Dao Huy Bich et al. replaced a goffered shell by a equivalent shallow shell and the equilibrium equations for the shallow shell were derived. In the present paper, the goffered multilayered composite cylindrical shells is directly calculated by the using finite element method. 2. Model and fundamental equations of the finite element method . Finite element mesh Let R, Land h respectively are the radius, multilayered composite cylindrical shells. le~.gth and thickness of the goffered · The homogennization method for studying composi~e materials had been introduced. in [1]. By this method the elastic layered-composite material reduces to the set of anisotropic elastic material. .· 116 The finite element method implies an idealization of the shell surface as an assemblage of discrete structural elements. In this study, the shell with goffered cylindrical shapes is represented by rectangular flat elements. Consider a typical rectangular flat element subjected· simultaneously to inplane and bending .

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