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SOFTWARE
FastFRS



CDH

   Why another solver?
CDH
Recently the availability of automated multilevel substructuring (AMLS) has enabled frequency response analyses to very high frequencies, using very large FE models and many modes. However, modeling damping appropriately for such analyses can make modal frequency response problems very expensive to solve. This is because modal damping matrices are diagonal only for certain idealized types of damping. In general, modeling damping more accurately results in modal damping matrices that are fully populated rather than diagonal. Then the modal frequency response solution ordinarily requires a matrix factorization at each frequency. The time required for each factorization is proportional to the cube of the number of modes, so analyses up to high frequencies, for which many modes are required, become extremely expensive.

FastFRS (fast frequency response solver) addresses this issue by performing only one numerical operation whose cost is proportional to the cube of the number of modes, rather than one such operation at each response frequency. Fortunately, the solver obtains an exact, direct solution, rather than an approximation for which the user specifies a cutoff frequency, a convergence tolerance, or some other parameter requiring special expertise. As a result, the user does not need special instructions to use FastFRS.

   FRF Solution method
CDH
  • Direct (FRRD1) Solution Requires ~m3/6 Operations for Factorization of the Dense Coefficient Matrix at each Frequency, Where m is the Number of Modes
  • It is Advantageous to Solve an Eigenvalue Problem Whose Cost is also Proportional to m3 Only Once, Making the Per-Frequency Cost of the Remaining Computation Proportional to m2.
  • Demonstrated dramatic improvement on many industrial FR problems.
   Advantages
CDH
  • Combination of AMLS and FastFRS allows the user to solve NVH problems in mid-high frequency range using standard NASTRAN software.
  • With many modes, diagonalizing the modal FR problem is much more efficient than solving fully coupled problem at each frequency.
  • If present, cancellation can be addressed at some additional cost, but the approach is still much faster than any alternative, and is reliably accurate.
  • Result, the most efficient solution method available, with no truncation error.
   Performance
CDH
Example for FEM trimmed body model analysis
  • ~4.4M DOFs
  • 8887str. modes < 1000 Hz
  • 177 Subcases, 1001 excitation frequencies
  • @log increments 20-800 Hz
  • 11.3% of DOFs have structural damping
  • All calculations are carried out with
  • MSC.NASTRAN Version 2005 using 4 CPUs
CDH


   Hard-/Software Requirements
CDH
Software:
MSC.Nastran
MD.Nastran
NX Nastran

MSC.Nastran is a proprietary product of MSC.Software Corporation.
MD.Nastran is a proprietary product of MSC.Software Corporation.
NX Nastran is a proprietary product of UGS Corporation.

Platforms:
Red Hat and Suse Linux64
IBM AIX
HP-UX
CDH AG