Evaluation of numerical time-integration schemes for real-time hybrid testing

2008 ◽  
Vol 37 (13) ◽  
pp. 1467-1490 ◽  
Author(s):  
P. A. Bonnet ◽  
M. S. Williams ◽  
A. Blakeborough
Keyword(s):  
Real Time ◽  
Time Integration ◽  
Hybrid Testing ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Numerical Time Integration

EIGENFREQUENCY SHIFT IN THE NEWMARK TIME INTEGRATOR

2006 ◽  
Vol 06 (03) ◽  
pp. 431-436 ◽  
Author(s):  
HARM ASKES ◽  
ALEKSANDAR PAVIC
Keyword(s):  
Time Integration ◽  
Excitation Frequency ◽  
Continuous System ◽  
Time Discretization ◽  
Forced Vibrations ◽  
Technical Note ◽  
Time Step ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Numerical Time Integration

This technical note aims to clarify the influence of numerical time integration schemes (such as the Newmark method) on the eigenfrequency of the system. With a straightforward analysis of three consecutive time instants it is shown that the eigenfrequency of the time-discretized system is different from the eigenfrequency of the original (continuous) system, and that this frequency shift depends on the magnitude of the applied time step. As such, it affects both free and forced vibrations. In particular, for the analysis of forced vibrations at resonance the excitation frequency must be matched with the eigenfrequency of the time-discretized system rather than the eigenfrequency of the system prior to time discretization.

Different Numerical Time Integration Schemes for Elastoplasticity Coupled to Anisotropic Damage

2015 ◽  
Vol 784 ◽  
pp. 217-224 ◽  
Author(s):  
Marek Fassin ◽  
Stephan Wulfinghoff ◽  
Stefanie Reese
Keyword(s):  
Damage Mechanics ◽  
Time Integration ◽  
Continuum Damage Mechanics ◽  
Anisotropic Damage ◽  
Fully Implicit ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Integration Algorithms ◽  
Damage Theory ◽  
Numerical Time Integration

Much effort has been put in the development of proper continuum damage mechanics models, in which damage is either represented as a scalar, vectorial or tensorial quantity. In this work the anisotropic damage theory of Lemaitre et al. (2000), which describes damage as a second order tensor, is utilized. Two numerical time integration algorithms, namely a fully implicit and a partially explicit scheme, are compared by means of finite element computations of a plate with a circular hole. The convergence behavior of the two algorithms is studied and compared regarding the number of time steps.

scholarly journals Damaged behavior under plane stress

2011 ◽  
pp. 341-368
Author(s):  
Thomas Paris ◽  
Khémaïs Saanouni
Keyword(s):  
Plane Stress ◽  
Constitutive Equations ◽  
Stress Condition ◽  
Time Integration ◽  
Reference Case ◽  
Plane Stress Condition ◽  
Integration Schemes ◽  
Hyperbolic Sine ◽  
Time Integration Schemes ◽  
Fully Coupled

This paper deals with the numerical treatment of "advanced" elasto-viscoplasticdamage constitutive equations in the particular case of plane stress. The viscoplastic constitutive equations account for the mixed isotropic and kinematic non linear hardening and are fully coupled with the isotropic ductile damage. The viscous effect is indifferently described by a power function (Norton type) or an hyperbolic sine function. Different time integration schemes are used and compared to each other assuming plane stress condition, widely used when dealing with shell structures as well as to the 3D reference case.

3D nonlinear MHD calculations using implicit and explicit time integration schemes

1986 ◽  
Vol 65 (2) ◽  
pp. 253-272 ◽  
Author(s):  
L. Garcia ◽  
H.R. Hicks ◽  
B.A. Carreras ◽  
L.A. Charlton ◽  
J.A. Holmes
Keyword(s):  
Time Integration ◽  
Explicit Time Integration ◽  
Integration Schemes ◽  
Time Integration Schemes ◽  
Implicit And Explicit
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