Work

Novel Model-Based Integration Algorithm Based on Generalized-α Method

Year: 2025

Type: article

Abstract: There exist various methods for solving the dynamic analysis problem in earthquake engineering. While numerical integration techniques are conventionally classified as either explicit or implicit approaches, both categories suffer from fundamental constraints that compromise their general effectiveness. A type of model-based integration algorithm combines explicit and implicit algorithm advantages, making it a hot topic in research. Based on the generalized-α algorithms, this study proposes a model-based integration algorithm by embedding upon Newton iteration to make its displacement solution in explicit form. The root locus method was employed to analyze the stability of the algorithm for single-degree-of-freedom systems containing nonlinear restoring force. Two models were selected to verify the algorithm’s accuracy and stability: three-storey and eight-storey shear-type structural systems with metal dampers. The proposed algorithm, Chang method, and CR method were utilized for the dynamic analysis of the emulated systems. The results indicate that the proposed algorithm has high accuracy and favorable stability for nonlinear dynamic problems.

Source: Mathematics

DOI: 10.3390/math13081231

Authors: Weinan Guo, Chuanguo Jia, Min Gan, Yan Zhang, Yutao Li

Institutions: Chongqing University, Chongqing College of Architecture and Technology

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: National Natural Science Foundation of China