Stability Analysis of an Extrapolated Force Correction Method for Nonlinear Structural Dynamics

1982 ◽  
Vol 49 (1) ◽  
pp. 203-205 ◽  
Author(s):  
D. M. Trujillo
Keyword(s):  
Stability Analysis ◽  
Structural Dynamics ◽  
Correction Method ◽  
Unconditional Stability ◽  
Numerical Examples ◽  
Nonlinear Structural Dynamics ◽  
Nonlinear Structural

In this paper, conditions for the unconditional stability of an extrapolated force correction method have been identified. The analysis assumed a nonlinear elastodynamic system for which energy is conserved. Some numerical examples are included to demonstrate the performance of the method.

On the Unconditional Stability of an Implicit Algorithm for Nonlinear Structural Dynamics

1975 ◽  
Vol 42 (4) ◽  
pp. 865-869 ◽  
Author(s):  
T. Belytschko ◽  
D. F. Schoeberle
Keyword(s):  
Structural Dynamics ◽  
Unconditional Stability ◽  
Nonlinear Material ◽  
Convergence Criterion ◽  
Sufficient Condition ◽  
Time Step ◽  
Discrete Energy ◽  
Numerical Examples ◽  
Nonlinear Structural Dynamics ◽  
Nonlinear Structural

In this paper an implicit Newmark β-method with iterations for nonlinear structural dynamics is described; the algorithm is identical to standard algorithms except that a new convergence criterion is employed. A discrete energy is defined and it is shown that this discrete energy is bounded regardless of the size of the time step; this is a sufficient condition for the unconditional stability of the algorithm for nonlinear material problems. Numerical examples are given for problems with both geometric and material nonlinearities.

Algorithms for Nonlinear Structural Dynamics

1978 ◽  
Vol 104 (2) ◽  
pp. 263-280 ◽  
Author(s):  
Hojjat Adeli ◽  
James M. Gere ◽  
William Weaver
Keyword(s):  
Structural Dynamics ◽  
Nonlinear Structural Dynamics ◽  
Nonlinear Structural

Applications of hybrid time–frequency methods in nonlinear structural dynamics

2014 ◽  
Vol 68 ◽  
pp. 134-143 ◽  
Author(s):  
I. Politopoulos ◽  
Ph. Piteau ◽  
J. Antunes ◽  
L. Borsoi
Keyword(s):  
Structural Dynamics ◽  
Time Frequency ◽  
Nonlinear Structural Dynamics ◽  
Nonlinear Structural
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