Nonlinear vibrations of shallow shells with complex boundary: R-functions method and experiments

2007 ◽  
Vol 306 (3-5) ◽  
pp. 580-600 ◽  
Author(s):  
Lidia Kurpa ◽  
Galina Pilgun ◽  
Marco Amabili
Keyword(s):  
Nonlinear Vibrations ◽  
Shallow Shells ◽  
Complex Boundary ◽  
R Functions

RANDOMLY FORCED NONLINEAR VIBRATIONS OF LAYERED SKEW PLATES AND SHALLOW SHELLS

1993 ◽  
Author(s):  
R. HEUER ◽  
H. IRSCNIK ◽  
F. ZIEGLER ◽  
FELLOW ASME
Keyword(s):  
Nonlinear Vibrations ◽  
Shallow Shells

Vibrations of Circular Cylindrical Shells With Complex Boundary Conditions

2006 ◽  
Author(s):  
Francesco Pellicano
Keyword(s):  
Boundary Conditions ◽  
Harmonic Functions ◽  
Nonlinear Vibrations ◽  
Cylindrical Shells ◽  
Rigid Bodies ◽  
Geometrically Nonlinear ◽  
Lagrange Equations ◽  
Displacement Fields ◽  
Complex Boundary ◽  
Circular Cylindrical Shells

In the present paper vibrations of circular cylindrical shells having different boundary conditions are analyzed. Sanders-Koiter theory is considered for shell modeling: both linear and nonlinear vibrations are analyzed. An energy approach based on Lagrange equations is considered; a mixed expansion of displacement fields, based on harmonic functions and Tchebyshev polynomials, is applied. Several boundary conditions are analyzed: simply supported, clamped-clamped, connection with rigid bodies. Comparisons with experiments and finite element analyses show that the technique is capable to model several and complex boundary conditions. Applications to geometrically nonlinear shells show that the technique is effective also in the case of nonlinear vibration: comparisons with the literature confirm the accuracy of the approach.

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