Semiexplicit Unconditionally Stable Time Integration for Dynamic Analysis Based on Composite Scheme (vol 143, 2017)

In this paper, a new structure-dependent unconditionally stable time-integration method is presented for structural dynamic analysis. The proposed method not only benefits from a semiexplicit formulation, but also inherits the advantages of the Bathe composite scheme. In fact, numerical characteristics of the suggested algorithm are the same as those in the Bathe composite scheme, except that the proposed method does not require any time-step subdividing, which is one of the drawbacks of the composite scheme. A comprehensive stability and accuracy analysis, including numerical dissipation and dispersion, is carried out in order to gain insight into the spectral properties of the proposed method. For numerical verification, some problems with large numbers of degrees of freedom and geometrical nonlinearity as well as linear behavior are solved by the developed technique. Results demonstrate suitable capability, efficiency, and validity of the proposed method in comparison to other existing schemes. (C) 2017 American Society of Civil Engineers.