A truly self-starting composite isochronous integration analysis framework for first/second-order transient systems. (1st January 2023)

• Record Type: Journal Article
• Authors: Wang, Yazhou; Xie, Ningning; Yin, Likun; Lin, Xinxing; Zhang, Tong; Zhang, Xuelin; Mei, Shengwei; Xue, Xiaodai; Tamma, Kumar
• Is Part Of: Computers & structures. Volume 274(2022)
• Publication Date: 2023-01-01
• Subjects: Composite time integration -- Isochronous integration -- Time-dependent problems -- Generalized single-step single-solve algorithms; Structural engineering -- Data processing -- Periodicals; Electronic data processing -- Structures, Theory of -- Periodicals; 624.171
• DOI: 10.1016/j.compstruc.2022.106901
• Languages: English
• ISSNs: 0045-7949

Abstract

Highlights: A truly self-starting new representation of the ρ ∞ -Bathe method is redesigned. A new composite time integration framework is designed for first-order systems. A novel composite [ i -Integration] design applied to first/second-order systems. In-depth comparisons between the composite method and the well-known GS4 framework. Abstract: Due to the lack of and limited work done for first/second-order systems useful for multidisciplinary problems, this paper proposes a new and novel composite isochronous integration ([ i -Integration]) analysis framework to solve first/second-order transient systems via a single computational framework. The main contributions are summarized as follows: (1) The ρ ∞ -Bathe method is newly reformed to an identical truly self-starting representation with the absence of acceleration and is more efficient for practical applications; (2) The novel [ i -Integration] process is applied to automatically generate a family of time integration algorithms for first/second-order transient systems, whilst preserving features of second-order time accuracy, unconditional stability, controllable numerical dissipation in high-frequency, and truly self-starting; (3) The newly proposed algorithms design framework provides a unified toolkit to solve first/second-order transient systems in a single analysis and hence is more effective for coupled problems and numerical analysis of fluid/heat transfer/structure-type transient simulations. Numerical examples encompassing a manufactured example, the C-F heat conduction model, and the thermal stress wave problem are demonstrated to validate the proposed algorithms.