An optimized implementation of the Newmark/Newton-Raphson algorithm for the time integration of nonlinear problems. (English) Zbl 0813.73078
Summary: The paper describes an optimized computational implementation of a basic ‘building block’ for nonlinear structural dynamic analysis programs: the combination of the modified Newton-Raphson iterative technique with an implicit time integration operator (in this case a member of the Newmark family), working in an incremental-iterative formulation for the equations of motion. The objective of this implementation is to attain improved computational efficiency, regarding both CPU time and memory requirements.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 49M15 | Newton-type methods |
Keywords:
structural dynamic analysis; implicit time integration operator; incremental-iterative formulationReferences:
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