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Erschienen in:
2019 | OriginalPaper | Buchkapitel
A Remedy for a Family of Dissipative, Unconditionally Stable Explicit Integration Methods
verfasst von : Shuenn-Yih Chang, Chiu-Li Huang
Erschienen in: Engineering Design Applications
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Abstract
A family of dissipative structure-dependent integration methods has been developed for structural dynamics. In general, this family of methods can integrate favorable numerical properties together, such as the unconditional stability, explicit formulation, second-order accuracy and controllable numerical damping. Due to the unconditional stability and explicit formulation, it is very computationally efficient for solving general structural dynamics problems. However, an adverse high-frequency overshooting behavior in the steady-state response might be generally experienced if this family of methods is applied to carry out the time integration. The cause of this overshoot is explored. It seems that the incomplete formulation of the difference equation for the displacement increment is responsible for this overshoot. Consequently, this overshooting can be completely eliminated after adding an appropriate load-dependent term into the difference equation for the displacement increment.