TRBDF2: Difference between revisions
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| style="background:yellow; color:black; width:800px" | '''integrator TRBDF2''' | | style="background:yellow; color:black; width:800px" | '''integrator TRBDF2''' | ||
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NOTES: | |||
# As opposed to dividing the time-step in 2 as outlined in the papers, we just switch alternate between the 2 integration strategies,i.e. the time step in our implementation is double that described in the papers. | |||
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EXAMPLE: | |||
integrator TRBDF2 | |||
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REFERENCES | REFERENCES | ||
Bank, R. | Bank, R.E., Coughran W.M., Fichter W., Grosse E.H., Rose, D.J., and Smith R.K. "Transient Simulations of Silicon Devices and Circuits", IEE Trans CAD, Vol(4), 436-451, 1985. | ||
Bathe, K.J. "Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Impicit Time Integration Scheme", Computers and Structures, Vol(85), 437-445, 2007. | |||
doi:10.1016/j.compstruc.2006.09.004 | |||
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Code Developed by: <span style="color:blue"> fmk </span> | Code Developed by: <span style="color:blue"> fmk </span> | ||
Latest revision as of 18:16, 28 May 2010
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This command is used to construct a TRBDF2 integrator object. The TRBDF2 integrator is a composite scheme that alternates between the Trapezoidal scheme and a 3 point backward Euler scheme. It does this in an attempt to conserve energy and momentum, something newmark does not always do.
| integrator TRBDF2 |
NOTES:
- As opposed to dividing the time-step in 2 as outlined in the papers, we just switch alternate between the 2 integration strategies,i.e. the time step in our implementation is double that described in the papers.
EXAMPLE:
integrator TRBDF2
REFERENCES
Bank, R.E., Coughran W.M., Fichter W., Grosse E.H., Rose, D.J., and Smith R.K. "Transient Simulations of Silicon Devices and Circuits", IEE Trans CAD, Vol(4), 436-451, 1985.
Bathe, K.J. "Conserving Energy and Momentum in Nonlinear Dynamics: A Simple Impicit Time Integration Scheme", Computers and Structures, Vol(85), 437-445, 2007. doi:10.1016/j.compstruc.2006.09.004
THEORY:
COMING SOON. LOOK AT BATHE'S PAPER FOR NOW.
Code Developed by: fmk