Efficient free vibration analysis of rotationally symmetric shell structures

2011 ◽  
Vol 27 (4) ◽  
pp. 541-552 ◽  
Author(s):  
A. Kaveh ◽  
F. Nemati
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Shell Structures ◽  
Rotationally Symmetric

scholarly journals Free vibration analysis of inversely coupled composite laminated shell structures with general boundary condition

AIP Advances ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 045309
Author(s):  
Kwanghun Kim ◽  
Kwangil An ◽  
Songhun Kwak ◽  
Hyonil Ri ◽  
Kumchol Ri ◽  
...  
Keyword(s):  
Boundary Condition ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Shell Structures ◽  
General Boundary ◽  
General Boundary Condition ◽  
Laminated Shell

Higher-Order Shell Element for the Static and Free-Vibration Analysis of Sandwich Structures

2018 ◽  
Author(s):  
Erasmo Carrera ◽  
Stefano Valvano ◽  
Matteo Filippi
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Shell Thickness ◽  
Input Parameter ◽  
Single Layer ◽  
Free Vibration Analysis ◽  
Shell Structures ◽  
Sandwich Shell ◽  
Power Functions

An advanced shell finite element with a variable kinematic field based on a new zig-zag power function is proposed for the analysis of sandwich shell structures. The kinematic field is written by using an arbitrary number of continuous piecewise polynomial functions. The polynomial expansion order of a generic subdomain is a combination of zig-zag power functions depending on the shell thickness coordinate. As in the classical layer-wise approach, the shell thickness can be divided into a variable number of mathematical subdomains. The expansion order of each subdomain is an input parameter of the analysis. This feature enables the solution to be locally refined over generic regions of the shell thickness by enriching the kinematic field. The advanced finite shell elements with variable kinematics are formulated in the framework of the Carrera Unified Formulation. The finite element arrays are formulated in terms of fundamental nuclei, which are invariants of the theory approximation order and the modelling technique (Equivalent-Single-Layer, Layer-Wise). In this work, the attention is focused on linear static stress analysis and the free-vibration analysis of sandwich shell structures.

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