TRBDF2

• Command_Manual
  • Tcl Commands
  • Modeling_Commands
    • model
    • uniaxialMaterial
    • ndMaterial
    • frictionModel
    • section
    • geometricTransf
    • element
    • node
    • sp commands
      • fix
      • fixX
      • fixY
      • fixZ
    • mp commands
      • equalDOF
      • rigidDiaphragm
      • rigidLink
    • timeSeries
    • pattern
    • mass
    • block commands
      • block2D
      • block3D
    • region
    • rayleigh
  • Analysis Commands
    • constraints Command
    • numberer Command
    • system Command
    • test Command
    • algorithm Command
    • integrator Command
    • analysis Command
    • eigen Command
    • analyze Command
  • Output Commands
    • recorder
    • record
    • print
    • printA
    • logFile
    • RealTime_Output_Commands
  • Misc Commands
    • eleResponse Command
    • getTime Command
    • getEleTags Command
    • getNodeTags
    • loadConst Command
    • nodeCoord Command
    • nodeDisp Command
    • nodeVel Command
    • nodeAccel Command
    • nodeEigenvector Command
    • nodeBounds
    • print Command
    • remove Command
    • reset Command
    • testIter
    • testNorms
    • wipe Command
    • exit Command
  • DataBase Commands
    • Template:DataBaseCommandsMenu

---

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:

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.

---

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.

---

THEORY:

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

---

Code Developed by: fmk