TRBDF2

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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

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EXAMPLE:

integrator TRBDF2

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NOTES:

1. 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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REFERENCES

Bank, R.Em 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.

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THEORY:

COMING SOON. LOOK AT BATHE'S PAPER FOR NOW.

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Code Developed by: fmk