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Alternative integration methods for problems in structural dynamics. (English) Zbl 0851.73076
Summary: Runge-Kutta methods for the time integration of the equations of motion in structural dynamics are presented. The methods belong to a class called singly-diagonally-implicit Runge-Kutta methods. The computational cost needed per step is comparable to Newmark methods with $$\alpha$$ damping. The methods proposed are $$L$$-stable which means that they instantly damp out the higher modes in the solution. The numerical dissipation can be controlled by a parameter. Both second and third order methods are presented. Some characteristics of the methods are compared with the Newmark method with $$\alpha$$ damping.

##### MSC:
 74S20 Finite difference methods applied to problems in solid mechanics 74H45 Vibrations in dynamical problems in solid mechanics 70-08 Computational methods for problems pertaining to mechanics of particles and systems
RODAS
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##### References:
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