On the free vibration problem of thin shallow and non-shallow shells using tensor formulation

2021 ◽  
Vol 244 ◽  
pp. 112807
Author(s):  
Flávio Augusto Xavier Carneiro Pinho ◽  
Zenón José Guzmán Nuñez Del Prado ◽  
Frederico Martins Alves da Silva
Keyword(s):  
Free Vibration ◽  
Shallow Shells ◽  
Vibration Problem ◽  
Tensor Formulation

Free Vibration of Curvilinearly Stiffened Shallow Shells

2013 ◽  
Author(s):  
Peng Shi ◽  
Rakesh K. Kapania
Keyword(s):  
Free Vibration ◽  
Ritz Method ◽  
Beam Theory ◽  
Fe Method ◽  
Shallow Shells ◽  
First Order ◽  
Stiffened Shells ◽  
Method Base ◽  
Doubly Curved ◽  
Good Agreement

The free vibration of curvilinearly stiffened doubly curved shallow shells is investigated by the Ritz method. Base on the first order shear deformation shell theory and Timoshenko’s 3-D curved beam theory, the strain and kinetic energies of the stiffened shells are introduced. Numerical results with different geometrical shells and boundary conditions, and different stiffener locations and curvatures are analyzed to verify the feasibility of the presented Ritz method for solving the problems. The results show good agreement with those using the FE method.

Contribution to the free vibration problem of a free-free beam with large end masses

2018 ◽  
Vol 98 (5) ◽  
pp. 840-847
Author(s):  
Slaviša Šalinić ◽  
Aleksandar Obradović ◽  
Momčilo Dunjić ◽  
Dragan Sekulić ◽  
Željko Lazarević
Keyword(s):  
Free Vibration ◽  
Vibration Problem ◽  
Free Beam

scholarly journals Closed-form solutions for the free-vibration problem of multilayered piezoelectric shells

2006 ◽  
Vol 84 (22-23) ◽  
pp. 1506-1518 ◽  
Author(s):  
M. D’Ottavio ◽  
D. Ballhause ◽  
B. Kröplin ◽  
E. Carrera
Keyword(s):  
Free Vibration ◽  
Closed Form ◽  
Closed Form Solutions ◽  
Vibration Problem
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