A high-order shear element for nonlinear vibration analysis of composite layered plates and shells

1999 ◽  
Vol 41 (4-5) ◽  
pp. 461-486 ◽  
Author(s):  
O. Attia ◽  
A. El-Zafrany
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
High Order ◽  
Layered Plates ◽  
Plates And Shells

Application of Variational Equation of Motion to the Nonlinear Vibration Analysis of Homogeneous and Layered Plates and Shells

1963 ◽  
Vol 30 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Yi-Yuan Yu
Keyword(s):  
Nonlinear Vibration ◽  
Nonlinear Vibrations ◽  
Variational Equation ◽  
Equations Of Motion ◽  
Equation Of Motion ◽  
Free Vibrations ◽  
Layered Plates ◽  
Variational Approximations ◽  
Elastic Systems ◽  
Plates And Shells

An integrated procedure is presented for applying the variational equation of motion to the approximate analysis of nonlinear vibrations of homogeneous and layered plates and shells involving large deflections. The procedure consists of a sequence of variational approximations. The first of these involves an approximation in the thickness direction and yields a system of equations of motion and boundary conditions for the plate or shell. Subsequent variational approximations with respect to the remaining space coordinates and time, wherever needed, lead to a solution to the nonlinear vibration problem. The procedure is illustrated by a study of the nonlinear free vibrations of homogeneous and sandwich cylindrical shells, and it appears to be applicable to still many other homogeneous and composite elastic systems.

Nonlinear vibration analysis of FGER sandwich beams

2014 ◽  
Vol 78 ◽  
pp. 167-176 ◽  
Author(s):  
A. Allahverdizadeh ◽  
I. Eshraghi ◽  
M.J. Mahjoob ◽  
N. Nasrollahzadeh
Keyword(s):  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Sandwich Beams

An accurate double-superposition global–local theory for vibration and bending analyses of cylindrical composite and sandwich shells subjected to thermo-mechanical loads

2011 ◽  
Vol 225 (8) ◽  
pp. 1816-1832 ◽  
Author(s):  
M Shariyat
Keyword(s):  
Vibration Analysis ◽  
Cylindrical Shells ◽  
High Order ◽  
Computational Time ◽  
Local Theory ◽  
Transverse Stress ◽  
Mechanical Loads ◽  
Local Technique ◽  
Sandwich Shells ◽  
First Time

Based on the idea of double superposition, an accurate high-order global–local theoryis proposed for bending and vibration analysis of cylindrical shells subjected to thermo-mechanical loads, for the first time. The theory has many novelties, among them: (1) less computational time due to the use of the global–local technique and matrix formulations; (2) satisfaction of the complete kinematic and transverse stress continuity conditions at the layer interfaces under thermo-mechanical loads; (3) consideration of the transverse flexibility; (4) release of Love–Timoshenko assumption; and (5) capability of investigating the local phenomena. Various comparative examples are included to validate the theory and to examine its accuracy and efficiency.

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