Free vibration analysis of arbitrary thin shell structures by using spline finite element

1995 ◽  
Vol 179 (5) ◽  
pp. 763-776 ◽  
Author(s):  
S.C. Fan ◽  
M.H. Luah
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Thin Shell ◽  
Free Vibration Analysis ◽  
Shell Structures ◽  
Spline Finite Element

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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