In this paper, the direct differentiation of generalized-α time integration is derived, equations
are introduced and results are shown. Although generalized-α time integration has found …

This paper presents a new approach to the advanced dynamics of mechanical systems. It is
known that in the movements corresponding to some mechanical systems (eg, robots) …

No literature has reported an explicit integration algorithm to achieve controllable numerical
dissipation and identical third-order accuracy simultaneously. This paper develops two …

In this paper we focus on the L-stable β 1/β 2-Bathe time integration method to obtain new
insights for transient and wave propagation solutions. The method is a specific case of the …

In this paper we introduce the explicit β 1/β 2-Bathe method for solving dynamic problems, in
particular wave propagations. Like for the implicit β 1/β 2-Bathe method, the proposed …

A novel explicit time integration method is proposed on the basis of cubic b‐spline
interpolation and weighted residual method. Its calculation formulation and procedure are …

In this paper, an efficient explicit integration method with third-order accuracy and
controllable dissipation properties is proposed, and a new accuracy criterion is presented to …

This paper deals with a new explicit framework for numerical dynamic analysis that could be
applied to any explicit-implicit time integration, ie predictor-corrector time integrations. For …

Newmark implicit time integration method is one of the oldest and most powerful methods
used for dynamic analysis of structures and wave propagation problems. Recently …

A new family of fully explicit time integration methods is proposed, which has second-order
accuracy for structures with and without damping. Using a diagonal mass matrix, the …