fe5b98b8a5-p-1876.pdf - stability limit for the operator(with no damping is given in terms of the highest characteristic length ratio larger than 0.92

fe5b98b8a5-p-1876.pdf - stability limit for the...

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98 stability limit for the operator (with no damping) is given in terms of the highest eigenvalue in the system as max 2 t (5.7) With damping, the stable time increment is given by max 2 max max 1 2 t (5.8) where max is the fraction of critical damping in the highest mode. Contrary to our usual engineering intuition, introducing damping to the solution reduces the stable time increment. The time incrementation scheme in ABAQUS/Explicit is fully automatic and requires no user intervention. ABAQUS/Explicit uses an adaptive algorithm to determine conservative bounds for the highest element frequency. An estimate of the highest eigenvalue in the system can be obtained by determining the maximum element dilatational mode of the mesh. The stability limit based upon this highest element frequency is conservative in that it will give a smaller stable time increment than the true stability limit that is based upon the maximum frequency of the entire model. In general, constraints such as boundary conditions and
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  • Spring '16
  • dffg
  • Fundamental physics concepts, Wadge hierarchy, AISI, Shot peening

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