Nonlinear vibration analysis of geodesically-stiffened laminated composite cylindrical shells in an elastic medium

2014 ◽  
Vol 111 ◽  
pp. 473-487 ◽  
Author(s):  
Zhi-Min Li ◽  
Pizhong Qiao
Keyword(s):  
Nonlinear Vibration ◽  
Elastic Medium ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Composite Cylindrical Shells

Vibration analysis of thick laminated composite cylindrical shells

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 1102-1107
Author(s):  
K. Y. Lam ◽  
T. Y. Ng ◽  
Wu Qian
Keyword(s):  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Laminated Composite ◽  
Composite Cylindrical Shells

A FINITE ELEMENT-BASED PERTURBATION METHOD FOR NONLINEAR FREE VIBRATION ANALYSIS OF COMPOSITE CYLINDRICAL SHELLS

2011 ◽  
Vol 11 (04) ◽  
pp. 717-734 ◽  
Author(s):  
T. RAHMAN ◽  
E. L. JANSEN ◽  
P. TISO
Keyword(s):  
Finite Element ◽  
Perturbation Method ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Cylindrical Shells ◽  
Computational Cost ◽  
Free Vibration Analysis ◽  
Perturbation Approach ◽  
Frequency Relation ◽  
Composite Cylindrical Shells

In this paper, a finite element-based approach for nonlinear vibration analysis of shell structures is presented. The approach makes use of a perturbation method that gives an approximation for the amplitude-frequency relation of the structure. The method is formulated using a functional notation and is subsequently converted to a finite element notation. After the determination of the linear natural frequency and corresponding vibration mode, the perturbation approach yields the initial curvature of the amplitude–frequency relation with a modest additional computational cost. The implementation of the perturbation approach in a general purpose finite element code using a laminated curved shell element is described. The effectiveness of the approach is illustrated by application to single-mode and coupled-mode nonlinear vibration analyses of cylindrical shells. Results for isotropic and composite cylindrical shells are presented and compared with results obtained via alternative approaches.

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