Family of Structure-Dependent Methods for Structural Dynamics

A family of structure-dependent methods is proposed based on discrete control theory. Although the displacement and velocity expression of this family method are similar to those of the previously published method developed by Mohammad Rezaiee-Pajand, the structure-dependent parameters of this family are different from the previously published method. The family of structure-dependent methods is named the MUSE algorithm method. Based on discrete control theory, a new family of integration algorithms is proposed by using the poles of the Newmark-[Formula: see text] method. Theoretical analysis indicated that the MUSE algorithm method possesses properties of zero amplitude decay and is self-starting. Also, its Period Elongation can be reduced by parameter ‘[Formula: see text]’. Numerical examples show that parameter ‘[Formula: see text]’ introduced in this paper can improve control Period Elongation and improve the accuracy of this method.