An asymptotical method for the calculation of eigenfunctions

1954 ◽  
Vol 4 (2) ◽  
pp. 183-186
Author(s):  
J. I. Horváth
Keyword(s):  
Asymptotical Method

Application of the variational-asymptotical method to laminated composite plates

AIAA Journal ◽  
1993 ◽  
Vol 31 (9) ◽  
pp. 1674-1683 ◽  
Author(s):  
Dewey H. Hodges ◽  
Bok W. Lee ◽  
Ali R. Atilgan
Keyword(s):  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Asymptotical Method

On the Modeling of Coupled Vibration of Rotating Thin-Walled Closed-Section Composite Beams

2010 ◽  
Vol 26-28 ◽  
pp. 758-763
Author(s):  
Yong Sheng Ren ◽  
Xiang Hong Du ◽  
Wen Li Yao
Keyword(s):  
Equations Of Motion ◽  
Laminated Composite ◽  
Coupled Vibration ◽  
Cross Sectional ◽  
Box Beam ◽  
Vibration Model ◽  
Thin Walled ◽  
The Galerkin Method ◽  
Sectional Analysis ◽  
Asymptotical Method

The free vibration model of a rotating composite thin-walled closed-section beams is presented in this paper. The two-dimensional cross-sectional analysis based on the variational-asymptotical method(VAM) is combined with the Hamilton’s principle to derive the equations of motion and associated boundary conditions of the beams. The Galerkin method is employed in order to solve the coupled differential equations. The natural frequency results obtained for the present model are compared with those of the existing models. Numerical results are obtained for the laminated composite cantilevered box beam with Circumferentially Uniform Stiffness(CUS) configuration, the effects of the fiber orientation, pitch and precone on the natural frequencies associated with coupled vibration modes are investigated.

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