Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics
An implicit family of composite s-sub-step integration algorithms is developed in this paper.
The proposed composite s-sub-step scheme is firstly designed to satisfy two requirements …
The proposed composite s-sub-step scheme is firstly designed to satisfy two requirements …
Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear …
This paper reviews the published composite three‐sub‐step implicit algorithms all of which
adopt the trapezoidal rule in the first sub‐step. Three optimal families of three‐sub‐step …
adopt the trapezoidal rule in the first sub‐step. Three optimal families of three‐sub‐step …
Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics
No literature has reported an explicit integration algorithm to achieve controllable numerical
dissipation and identical third-order accuracy simultaneously. This paper develops two …
dissipation and identical third-order accuracy simultaneously. This paper develops two …
A self-starting dissipative alternative to the central difference methods
This paper focuses mainly on developing single-step explicit integration algorithms
considering the implicit treatment of velocity. A novel explicit algorithm (GSSI) is proposed …
considering the implicit treatment of velocity. A novel explicit algorithm (GSSI) is proposed …
New insights into a three-sub-step composite method and its performance on multibody systems
Y Ji, H Zhang, Y Xing - Mathematics, 2022 - mdpi.com
This paper develops a new implicit solution procedure for multibody systems based on a
three-sub-step composite method, named TTBIF (trapezoidal–trapezoidal backward …
three-sub-step composite method, named TTBIF (trapezoidal–trapezoidal backward …
High-order accurate multi-sub-step implicit integration algorithms with dissipation control for second-order hyperbolic problems
This paper develops an implicit family of sub-step integration algorithms, which firstly
requires identical effective stiffness matrices and third-order consistency within each sub …
requires identical effective stiffness matrices and third-order consistency within each sub …
On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems
This paper constructs and analyzes a generalized composite two-sub-step explicit method to
solve various dynamical problems effectively. Via the accuracy and dissipation analysis, the …
solve various dynamical problems effectively. Via the accuracy and dissipation analysis, the …
On second-order s-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems
This paper proposes a self-starting, second-order accurate, composite s-sub-step explicit
method, within which the first five explicit members are developed, analyzed, and compared …
method, within which the first five explicit members are developed, analyzed, and compared …
Optimization of a Class of -Sub-Step Time Integration Methods for Structural Dynamics
Y Ji, Y Xing - International Journal of Applied Mechanics, 2021 - World Scientific
This paper develops a family of optimized n-sub-step time integration methods for structural
dynamics, in which the generalized trapezoidal rule is used in the first (n− 1) sub-steps, and …
dynamics, in which the generalized trapezoidal rule is used in the first (n− 1) sub-steps, and …
On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables
Hilber and Hughes gave several competitive demands on the implicit methods in 1978.
However, there are no such integration methods in the traditional algorithm design. Via …
However, there are no such integration methods in the traditional algorithm design. Via …