A Finite Element-based Perturbation Method for Nonlinear Free Vibration Analysis of Composite Cylindrical Shells
Autor(en): |
T. Rahman
E. L. Jansen P. Tiso |
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Medium: | Fachartikel |
Sprache(n): | Englisch |
Veröffentlicht in: | International Journal of Structural Stability and Dynamics, August 2011, n. 4, v. 11 |
Seite(n): | 717-734 |
DOI: | 10.1142/s0219455411004312 |
Abstrakt: |
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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14.08.2019