The Nørsett time integration methodology for finite element transient analysis

2002 ◽  
Vol 191 (29-30) ◽  
pp. 3297-3327 ◽  
Author(s):  
Massimo Mancuso ◽  
Francesco Ubertini
Keyword(s):  
Finite Element ◽  
Transient Analysis ◽  
Time Integration

scholarly journals Adaptivity in Crashworthiness Calculations

1993 ◽  
Vol 1 (2) ◽  
pp. 97-106 ◽  
Author(s):  
Ted Belytschko ◽  
Sang-Ho Lee ◽  
I-Sheng Yeh ◽  
Jerry I. Lin ◽  
Chen-Shyh Tsay ◽  
...  
Keyword(s):  
Finite Element ◽  
Finite Element Methods ◽  
Transient Analysis ◽  
Time Integration ◽  
Adaptive Finite Element ◽  
Data Preparation ◽  
Adaptive Finite Element Methods ◽  
Explicit Time Integration ◽  
Car Model ◽  
Nonlinear Transient

h-Adaptive finite element methods for nonlinear transient analysis by explicit time integration are described. Examples are given of adaptive calculations for simple components and prototype calculations for a full car model. h-Adaptivity offers substantial reductions in data preparation costs and improvements in accuracy.

A Simplified Finite Element for Added Mass and Inertial Coupling in Arrays of Cylinders

1985 ◽  
Vol 107 (2) ◽  
pp. 118-125 ◽  
Author(s):  
R. E. Harris ◽  
M. A. Dokainish ◽  
D. S. Weaver
Keyword(s):  
Finite Element ◽  
Time Integration ◽  
Element Model ◽  
Added Mass ◽  
Cylindrical Structures ◽  
Beam Elements ◽  
Inertial Coupling ◽  
Fundamental Frequencies ◽  
Tube Bundles ◽  
Primary Advantage

A simplified finite element has been developed for modeling the added mass and inertial coupling arising when clusters of cylinders vibrate in a quiescent fluid. The element, which is based on two-dimensional potential flow theory, directly couples two adjacent beam elements representing portions of the adjacent cylindrical structures. The primary advantage of this approach over existing methods is that it does not require the discretization of the surrounding fluid and, therefore, is computationally much more efficient. The fundamental frequencies of tube bundles of various pitch ratios have been predicted using this method and compared with experimental data. Generally, the agreement is good, especially for the bandwidth of fluid coupled natural frequencies. The transient response of tube bundles is also examined using time integration of the finite element model. The beating phenomenon and time decay characteristics exhibited by the experimental bundles under single-tube excitation are well predicted and valuable insights are gained into the measurement of damping in tube bundles.

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