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Two simple fast integration methods for large-scale dynamic problems in engineering. (English) Zbl 0884.73079
Summary: An explicit two-step method and a family of predictor-corrector integration algorithms are developed for the calculation of numerical responses of dynamic problems. The proposed methods avoid solving simultaneous linear algebraic equations at each time step; accordingly, computational speeds of the methods applied to large system analysis can be far higher than those of other popular methods. Accuracy, stability and numerical dissipation are investigated. Finally, we give linear and nonlinear examples for verification and applications of the methods to railway engineering.

MSC:
74S30 Other numerical methods in solid mechanics (MSC2010)
74H45 Vibrations in dynamical problems in solid mechanics
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