A variational formulation for dynamic analysis of composite laminated beams based on a general higher-order shear deformation theory

2013 ◽  
Vol 102 ◽  
pp. 175-192 ◽  
Author(s):  
Yegao Qu ◽  
Xinhua Long ◽  
Hongguang Li ◽  
Guang Meng
Keyword(s):  
Dynamic Analysis ◽  
Shear Deformation ◽  
Variational Formulation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Laminated Beams

A New Nonlinear Higher-Order Shear Deformation Theory for Nonlinear Vibrations of Laminated Shells

2010 ◽  
Author(s):  
M. Amabili ◽  
J. N. Reddy
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Nonlinear Vibrations ◽  
Circular Cylindrical Shell ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Curvilinear Coordinates ◽  
Geometrically Nonlinear ◽  
Geometric Imperfections ◽  
Laminated Shells

A consistent higher-order shear deformation nonlinear theory is developed for shells of generic shape; taking geometric imperfections into account. The geometrically nonlinear strain-displacement relationships are derived retaining full nonlinear terms in the in-plane displacements; they are presented in curvilinear coordinates in a formulation ready to be implemented. Then, large-amplitude forced vibrations of a simply supported, laminated circular cylindrical shell are studied (i) by using the developed theory, and (ii) keeping only nonlinear terms of the von Ka´rma´n type. Results show that inaccurate results are obtained by keeping only nonlinear terms of the von Ka´rma´n type for vibration amplitudes of about two times the shell thickness for the studied case.

Approximate vibration analysis of laminated curved panel using higher-order shear deformation theory

2004 ◽  
Vol 20 (3) ◽  
pp. 238-246
Author(s):  
Shi Jianwei ◽  
Nakatani Akihiro ◽  
Kitagawa Hiroshi
Keyword(s):  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Curved Panel
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